Brainliest!
Which system is represented in the graph?
y>x²-2x-3
y > x + 3
Oy y Oy2x²-2x-3
y ≤ x + 3
Oy>x²-2x-3
y

Brainliest!Which System Is Represented In The Graph?y>x-2x-3y > X + 3OyyOy2x-2x-3y X + 3Oy>x-2x-3y

Answers

Answer 1

Answer:

y ≥ x² -2x -3y ≤ x +3

Step-by-step explanation:

When matching graph to inequality, the first things to look for are the nature of the boundary line (solid or dashed), and the direction of shading relative to the boundary line (above or below, left or right).

Boundary line

The boundary line of the solution set of an inequality will be solid if the line is included in the solution. That is, the inequality will include the "or equal to" case. The corresponding inequality symbols are ≤ or ≥.

The boundary line of the solution set will be dashed if the line is not included in the solution. The corresponding inequality symbols are < or >.

Shading

The shading will be above the boundary line if the solution set includes larger y-values than those on the boundary. This will be the case when the inequality is of the form y > ( ) or y ≥ ( ).

For inequalities of the form y < ( ) or y ≤ ( ), the shading will be below the boundary line.

Similarly, the shading for an inequality of the form x > ( ) will be right of the boundary line, where x-values are greater. For inequalities of the form x < ( ), the shading will be to the left of the boundary line.

Application

In the given graph, both boundary lines are solid, so both inequalities will include the "or equal to" case. This eliminates choices A, B, D.

The shading is above the quadratic boundary line, and below the linear boundary line, so the inequalities can be expected to be of the forms ...

y ≥ x² +...y ≤ x +...

These forms match choice C:

y ≥ x² -2x -3y ≤ x +3

Related Questions

Cans of wood varnish come in three sizes.

Small can: A 200 ml can costs £0.88.
Medium can: A 500 ml can costs £1.32.
Large can: A 1 litre can costs £3.60.

Calculate the cost of 1 litre for the small and medium cans.
Give your answer in pounds to 2 dp.

Answers

The cost of 1 liter for the small and medium cans is 4.4 and 2.4.

What is Unitary method?

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

As,  

Small can: A 200 ml can costs £0.88.

Medium can: A 500 ml can costs £1.32.

Large can: A 1 litre can costs £3.60.

Now, 200 ml = 0.2 l

500 ml = 0.5 l

For 0.2 l = 0.88

For 1 l= 0.88/0.2

For 1 liter = 4.4

For 0.5l medium can = 1.32

For 1 l medium can= 1.32/0.5

For 1 l medium can = 2.4

Hence, cost of 1 liter for the small can is £ 0.88 the cost of 1 liter for the medium can is £ 2.4.

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(x^2 + x - 17) + (x − 4) divide using polynomial long division

Answers

Answer: x+5 with a remainder of 3 (can also be said as 3/x-4)

Step-by-step explanation: See attachment

What is the ratio of the circumference of a circle to its radius?

Answers

Answer:

2 pi : 1

Step-by-step explanation:

for every one unit of radius, there are two pi units in the circumference!

Students in a reading class have three options for their book project: making a brochure, writing a news article, or designing a computer presentation. from past years, the teacher has determined that 20% of students usually choose to make a brochure, 30% of students usually choose to write a news article, and the remaining students usually choose to design a computer presentation. if the teacher uses 20 colored chips in three different colors to model this situation, how many colored chips should she use to represent each book project option? making a brochure: blue chips writing a news article: yellow ships designing a computer presentation: red chips

Answers

Answer: 4 blue chips (brochure), 6 yellow chips (news article), and 10 red chips (computer presentation).

Step-by-step explanation: If you have 20 colored chips, then 20% of the people that chose the brochure will be 20% of 20 of the chips. That is 20 * 0.2 = 4. Now, to find how to model the people who chose the news article, it will be 30% of the 20 chips. That is 20 * 0.3 = 6. Thus, 6 chips can be modeled for the news articles. Lastly, we add 6 + 4 and that is 10. The rest is another ten out of the 20. Thus, we can use 10 red chips to model the computer presentation.

The teacher should use 4 blue chips for the making a brochure option, 6 yellow chips for the writing a news article option, and 10 red chips for the designing a computer presentation option.

What is Division?

A division is a process of splitting a specific amount into equal parts.

To model this situation using colored chips, we can use the following approach:

Divide the total number of chips (20) into five equal parts, each representing 20% of the total number of students.

For the making a brochure option, use four blue chips to represent the 20% of students who choose this option.

For the writing a news article option, use six yellow chips to represent the 30% of students who choose this option.

For the designing a computer presentation option, use ten red chips to represent the remaining 50% of students who choose this option.

So, the teacher should use 4 blue chips for the making a brochure option, 6 yellow chips for the writing a news article option, and 10 red chips for the designing a computer presentation option.

Hence,  the teacher should use 4 blue chips for the making a brochure option, 6 yellow chips for the writing a news article option, and 10 red chips for the designing a computer presentation option.

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A restaurant offers a​ $12 dinner special that has choices for an​ appetizer, choices for an​ entrée, and choices for a dessert. How many different meals are available when you select an​ appetizer, an​ entrée, and a​ dessert?.

Answers

Answer:

4 is my answer:))))) maybe this will help

Answer:

1

Step-by-step explanation:

it depends on how many choices there are

If there is 1 choice for an appetizer, 1 choice for an entrée, and 1 choice for a dessert

(1 * 1 * 1 = 1)

then there is 1 meal choice

If there are 7 choices of appetizers, 12 choices of entrée, and 6 choices of dessert.

(7 * 12 * 6 = 504)

then there are 504 different options

If there are 5 choices for an appetizer, 12 choices for an entrée, and 3 choices for a dessert

(5 * 12 * 3 = 180)

then there are 180 options

12 choices for entrées, 10 choices for side dishes, and 6 choices for dessert

(12 * 10 * 6 = 3240)

then there are 3240 meal options

you have to multiply the number of entrées (e), meals (m), and desserts (d)

e * m * d = x

you are solving for x, which is the different meals available aka your answer.

so plug in the numbers and that should give you the answer!

hope this helps:)

2 years ago, father age was nine times the son age but 3 years later it will be 5 times only. find the present ages of the father and son​

Answers

Answer:

The Father is currently 47 and the Son is 7

Step-by-step explanation:

Let F and S be the present ages of Father and Son, respectively.

We are told that (F-2) = 9(S-2) [2 years ago, father age was nine times the son age]

We also learn that (F+3) = 5(S+3)  [3 years later it will be 5 times only]

Take the first expression and isolate one of the variables (S or F).  I'll isolate F:

(F-2) = 9(S-2)

F = 9S - 16

Now use this in the second expression:

(F+3) = 5(S+3)

((9S-16)+3) = 5(S+3)

9S-13 = 5S+15

4S = 28

S = 7

Since F = 9S-16,

F = 9*(7)-16

F = 47

Father is 47 and Son is 7

CHECK:

Was the father 9 times the age of his son 2 years ago?

Father would have been 45 and son 5.  Yes, 9*5 = 45

In 3 years will he be 5 times older than his son?  Yes, Father would be 50 and son would be 10.  5*(10) = 50

Please help i dont get this at all so please i will highly appreciate it .Thank youuu!!!

Answers

Answer:

  (b)  3 terms, degree 10

Step-by-step explanation:

When simplifying polynomials, the first thing you look at is the exponents of the variables in each term. (The terms are separated by + or - signs.) Only terms with the same set of exponents can be combined.

When considering the degree of the polynomial, you look at the sum of exponents of the variables in each term. That sum is the degree of the term. The degree of the polynomial is the highest of the degrees of the terms.

__

exponents and degree

The four terms have variables s and t. If we write the exponents of those variables as an ordered pair, we will have one ordered pair for each term:

  5s⁶t²  ⇒  (exponent of s, exponent of t) ⇒ (6, 2); degree = 6+2 = 8

  6st⁹  ⇒  (1, 9); degree = 1+9 = 10

  -8s⁶t²  ⇒  (6, 2); degree 6+2 = 8 (this is a like term to the first term)

  -6t⁷  ⇒  (0, 7); degree 0+7 = 7

The degrees are 8, 10, 8, 7, so the highest degree is 10. This is the degree of the polynomial.

__

combining terms

We can only combine the terms containing s⁶t². Doing that gives ...

  (5 -8)s⁶t² +6st⁹ -6t⁷ = -3s⁶t² +6st⁹ -6t⁷ . . . . . three terms

In "standard form", the terms are written in order of decreasing degree:

  6st⁹ -3s⁶t² -6t⁷ . . . . . . 3 terms, degree 10

Find the range of the given function y = 5x + 2, where x > -2

Answers

The range of the function given the domain x > -2 is; Range; y < -8.

What is the range of the function?

The range of a function is the set of all possible outcomes of the function. In this scenario, since the domain of the function is given as X > -2. It follows from the function that at all times, the range of the function is given by; y < -8 from; y < 5(-2) +2; y< -8.

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PLS HELP

What is the factored form for the quadratic function below?
y = 7x² - 2x - 5
Oy
(7x+5)(x - 1)
Oy
(7x - 5)(x - 1)
Oy (7x + 1)(x + 5)
Oy (7x+5)(x + 1)

Answers

Answer: y = (x - 1) (7x + 5)

Step-by-step explanation:

y = 7x² - 2x - 5     Use the slip and slide method.

y = x² - 2x - 35    Factor

y = (x - 7) (x + 5)  Slide 7 back in, divide -7 by 7 to get -1. Slip 7 into (x + 5).

y = (x - 1) (7x + 5)

   

The factorized form of the quadratic equation is  y = (7x+5)(x - 1).

What is a quadratic function?

A polynomial function with one or more variables, where the largest exponent of the variable is two, is referred to as a quadratic function. In other terms, a "polynomial function of degree 2" is a quadratic function.

To factor the quadratic function, we need to find two binomials whose product is equal to the given quadratic. Here's one way to factor y = 7x² - 2x - 5:

First, we need to find two numbers whose product is 7(-5) = -35 and whose sum is -2. These numbers are -7 and 5, since (-7)(5) = -35 and (-7) + 5 = -2.

Next, we use these two numbers to split the middle term of the quadratic:

y = 7x² - 7x + 5x - 5

Notice that we have a common factor of 7x in the first two terms and a common factor of 5 in the last two terms. We can factor these out to get:

y = 7x(x - 1) + 5(x - 1)

Now, we have a common factor of (x - 1), which we can factor out to get the factored form:

y = (7x + 5)(x - 1)

Therefore, the correct answer is: y = (7x+5)(x - 1).

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Squares are cut out of the corners of a piece of 18*18 graph paper so that the sides can be folded to make an open box. What is the largest possible number of cubic units in the volume of the box if we require that the length of each edge is a whole number?

Answers

Answer:

432 mm²

Step-by-step explanation:

We need to cut out 3x3 squares from corners and make an open box. It's height will be 3mm(see the plan). So volume will be:
V = 12 * 12 * 3 = 432mm²

A standard marathon is about 26.2 miles.

How many feet is this equivalent to?

a.)
2400 feet
b.)
420,455 feet
c.)
138,336 feet
d.)
5280 feet

Answers

Answer:138,336

Step-by-step explanation:Because one mile=5280 so that takes out a and d but then just multiply 26.2 and 5280 equals 138,336 hope this helps

138,336 feet is equivalent to 26.2 miles.

Hence, Option C is correct.

Given that,

Length of standard marathon = 26.2 miles

We have to calculate the length of it into feet

Since we know that,

A measurement unit is a standard quality used to express a physical quantity. Also it refers to the comparison between the unknown quantity with the known quantity.

Since we know that

1 miles = 5280

Now to find the length of standard marathon in feet,

Multiply 5280 with 26.2.

Hence the length of marathon in feet,

= 5280 x 26.2

= 138,336 feet.

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Ragan makes beaded jewelry. The graph below shows the number of beads on varying cord lengths.

Jewelry
A graph has cord length (inches) on the x-axis and number of beads on the y-axis. A line goes through points (16, 48) and (24, 72).




Which is the best estimate of the number of beads on a cord that is 16 inches long?
5
8
44
48

Answers

Answer:

48

Step-by-step explanation:

Answer:

48

Step-by-step explanation:

edge 2023

A diver sits on a boat at the surface of the ocean preparing to dive. She dives in and descends to -128 feet. After a few minutes, she ascends 45 feet to swim with a pod of dolphins that has appeared. What integer represents the diver's position in feet (depth) when she swims with the dolphins?

HELP WILL NAME BRAINLIEST

Answers

Answer:

The diver's position in feet (depth) when she swims with dolphins is -83 feet.

Step-by-step explanation:

First highlight the important information from the question.

A diver sits on a boat at the surface of the ocean preparing to dive. She dives in and descends to -128 feet. After a few minutes, she ascends 45 feet to swim with a pod of dolphins that has appeared. What integer represents the diver's position in feet (depth) when she swims with the dolphins?

So, first she descends -128 feet, then she ascends 45 feet to swim with dolphins. So, now that we have the important information highlighted we can solve the problem.

-128+45=-83.

The diver's position in feet (depth) when she swims with dolphins is -83 feet.

Hope this helps!

If not, I am sorry.

what is the value of sin(80°)cos⁡(20°)-cos(80°)sin(20°)


Answers

Answer: sqrt 3 / 2

Step-by-step explanation: cos20°sin80°-cos80°sin20° is about 0.66 and sqrt(3)/2 is about 0.66.

Please mark as brainliest if my answer was correct and/or helpful.


Use the formula A=bxh to find the base of a parallelogram if the area is 228 cm² and the height is 12 cm.
O a
Ob
O
Od
19 cm
1.9 cm
19 cm 2
none of the above

Answers

Answer:

a) 19 cm

Step-by-step explanation:

Area of a parallelogram: b • h

Given values:

A = 228 cm²b = ? cmh = 12 cm

Substitute these values into the formula:

⇒ A = b • h

⇒ 228 = b • 12 [multiply]

⇒ 228 = 12b [divide both sides by 12]

⇒ 228 ÷ 12 = 12b ÷ 12

⇒ 19 = b

Therefore, the base of the parallelogram is 19 cm.

Match the circle equations in general form with their corresponding equations in standard form. x2 y2 − 4x 12y − 20 = 0 (x − 6)2 (y − 4)2 = 56 x2 y2 6x − 8y − 10 = 0 (x − 2)2 (y 6)2 = 60 3x2 3y2 12x 18y − 15 = 0 (x 2)2 (y 3)2 = 18 5x2 5y2 − 10x 20y − 30 = 0 (x 1)2 (y − 6)2 = 46 2x2 2y2 − 24x − 16y − 8 = 0 x2 y2 2x − 12y − 9 = 0

Answers

The equation given is matched with the respective vertex forms.

What is the standard Equation for a circle ?

The standard equation for a circle is given by

(x-h)² + (y-k)² = r²

The equation given in the question are

x² + y²  − 4x + 12y − 20 = 0

(x − 6)²  + (y − 4)²  = 56

x²  + y²  + 6x − 8y − 10 = 0

(x − 2)²  + (y + 6)²  = 60

3x²  + 3y²  + 12x + 18y − 15 = 0

(x + 2)²  + (y + 3)²  = 18

5x²  + 5y²  − 10x + 20y − 30 = 0

(x+3)²  + (y-4)²  = 35

2x²  + 2y²  − 24x − 16y − 8 = 0

(x-1)²  + (y+2)²   = 11

The first equation is

x² + y²  − 4x + 12y − 20 = 0

It can be written ad

x² -4x + 4 - 4 +y²+12y +36-36 -20 = 0

(x-2)² +(y+6)²= 60

The second equation is

x²  + y²  + 6x − 8y − 10 = 0

x² +6x +9-9 +y²  -8y +16-16 -10 = 0

(x+3)²  + (y-4)²  = 35

The third equation is

3x²  + 3y²  + 12x + 18y − 15 = 0

(x + 2)²  + (y + 3)²  = 18

The fourth equation is

5x²  + 5y²  − 10x + 20y − 30 = 0

(x-1)²  + (y+2)²   = 11

The fifth equation is

2x²  + 2y²  − 24x − 16y − 8 = 0

(x − 6)²  + (y − 4)²  = 56

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Find the value of :
[tex] \sf log_{3 \sqrt{2} }(324) [/tex]

Answers

Answer:

4

Step-by-step explanation:

Is that a log with the base of   3√(2)  ?

If so....my calculator says the answer is   4

Let's see if we can do it w/ou the calculator:

3 sqrt(2)^x = 324 =  3^4 * 2^2     Now 'LOG' both sides:

x log (3 sqrt 2)  =   log (3^4 *2^2)  =  4 log ( 3 * 2^(2/4)) = 4 log (3 sqrt2)

                       now divide both sides by log (3 sqrt2 )

  x = 4        (If I did the math correctly ! )  

Please help me with my math

Answers

Answer:

x = 72

y = 15

Step-by-step explanation:

m and n are parallel lines so we can write the following equation:

108 + x = 180 because these angles are supplementary

if we subtract 108 from both sides

x = 72 we can also write the following equation:

5y - 3 = x because these are alternate angles

5y - 3 = 72 add 3 to both sides

5y = 75 divide both sides by 5

y = 15

One forth of one third of two fifths of a number is 15. What is the number?

Answers

A fourth of a third of two fifths is a thirtieth.

(1 x 1 x 2) / (4 x 3 x 5) = 2 / 60 = 1 / 30

A thirtieth of a number () is fifteen, the number is four hundred and fifty.

= 15 / (1 / 30) = 15 x 30 = 450

forty percent of four hundred and fifty is one hundred and eighty.

(450 / 100) x 40 = 180

Answer:

The number is 450

Step-by-step explanation:

One fourth is 1/4,

One third is 1/3

and two fifths is 2/5

let the number be x.

So,

One fourth of one third of two fifths of x is 15.

that is,

1/4 * 1/3 * 2/5 * x = 15

2/4*3*5* x = 15

2/60 * x = 15

1/30 * x = 15

1 * x = 15*30

x = 450

Therefore the number is 450

All the square numbers between 20 and 50

Answers

it is 3 numbers all together and they are 25, 36 and 49.

Simplify completely.
3 189x5y7
√/7x²y²
3

Answers

3xy multiplied by the cube root of y^2

Answer:

[tex]\large \boxed{\sf 3x\sqrt[3]{y^5}}[/tex]

Explanation:

[tex]\rightarrow \dfrac{\sqrt[3]{\sf 189x^5y^7}}{\sqrt[3]{\sf 7x^2y^2}}[/tex]

applying radical rule

[tex]\rightarrow \sf \sqrt[3]{\dfrac{\sf 189x^5y^7}{\sf 7x^2y^2}}[/tex]

simplify

[tex]\rightarrow \sqrt[3]{\sf 27x^3y^5}[/tex]

put cubic root

[tex]\rightarrow \sqrt[3]{\sf 27} \sqrt[3]{\sf {x^3} }\sqrt[3]{\sf y^5}}[/tex]

simplify

[tex]\rightarrow \sf 3x\sqrt[3]{y^5}[/tex]

multiple answer problem ​

Answers

[tex]\quad \huge \quad \quad \boxed{ \tt \:Answer }[/tex]

[tex]\qquad \tt \rightarrow \: E.\:\: \overline{DC}[/tex]

or

[tex]\qquad \tt \rightarrow \: F.\:\:\overline{CD}[/tex]

____________________________________

[tex] \large \tt Solution \: : [/tex]

A line with two dots at ends (two ends) represents a line segment.

And it can be represented as :

[tex]\qquad \tt \rightarrow \: \overline{DC}[/tex]

or

[tex]\qquad \tt \rightarrow \: \overline{CD}[/tex]

Answered by : ❝ AǫᴜᴀWɪᴢ ❞

What is the slope of the graph?
Oslope = -1/3
O slope = -3
O slope = 3
O slope = 1/3

Answers

The slope is -3
the rise is 3
and the run is 1
the slope is negative so it’s -3/1
Aka -3

sin theta / cos theta - cos theta/ sin theta​

Answers

Answer:

tan theta - cot theta

Step-by-step explanation:

sin/cos = tan

cos/sin = cot

a researcher in north america discovers a fossil that contains 40% of its original amount of C-14

Answers

Using an exponential function, it is found that the substance is 7,535 years old.

What is the exponential function for the amount of a substance?

The function is given by:

[tex]A(t) = A(0)e^{-kt}[/tex]

In which:

A(0) is the initial amount.k is the rate of exponential decay.

Carbon-14 has a half life of 5700 years, that is, A(5700) = 0.5A(0), hence we use this to find k.

[tex]A(t) = A(0)e^{-kt}[/tex]

[tex]0.5A(0) = A(0)e^{-5700k}[/tex]

[tex]e^{-5700k} = 0.5[/tex]

[tex]\ln{e^{-5700k}} = \ln{0.5}[/tex]

[tex]k = -\frac{\ln{0.5}}{5700}[/tex]

k = 0.00012160476

Hence:

[tex]A(t) = A(0)e^{-0.00012160476t}[/tex]

It was 40% of the amount when A(t) = 0.4A(0), hence we solve for t.

[tex]A(t) = A(0)e^{-0.00012160476t}[/tex]

[tex]0.4A(0) = A(0)e^{-0.00012160476t}[/tex]

[tex]\ln{e^{-0.00012160476t}} = \ln{0.4}[/tex]

[tex]t = -\frac{\ln{0.4}}{0.00012160476}[/tex]

t = 7535.

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need help with this question , pls help

Answers

Answer:

A = 80g B = 200g

Step-by-step explanation for A:

First, you would find what the serving size is divided by to get the number of people needed to feed 6/3 = 2. Then take that number (3) and divided it by the fish (240g) to get 240/3 = 80.

Step-by-step explanation for B:

You will first need to find how much butter goes into ONE pie by dividing 80 by 6 which is 1.33333333333333. Then do 1.333333333333333 times the number of people to feed (15) to get 200.

if someone ask you to write the tens in 1,567
would you write 67 or 6

if someone asks you to write the tens in

145,677
would you write 77 or 7

if someone asks you to write the hundredths in

146,888

would you write 688 or 8 or 888?? explain pls

Answers

Answer:

The tens in 1,567 is 60.

The tens in 145,577 is 70.

The hundreds in 146,888 is 800

Step-by-step explanation:

When looking for tens, you look for the value in the tens column.

For example, in 123, there is a 2 in the tens so it is 20.

2^-4 simplified form

Answers

Answer:

1/16 is the answers for the question

Step-by-step explanation:

please mark me as brainlest

Answer:

Step-by-step explanation:

Review the debate between former presidents, Jimmy Carter and Ronald Reagan. In a three paragraph essay of (4-5 sentences each), write an evaluation with evidence to support which candidate proposed a more compelling argument about inflation.

Support your claim with specific data presented by each of the candidates. Be sure to mention a minimum of one counterpoint, and refute this point with evidence.

Answers

Answer:

A key turning point in American politics was the election of 1980. It indicated the new electoral power of the suburbs. The success that Reagan had as a conservative would initiate a group of parties because liberals and conservatives would either leave politics or change party affiliations through the 1980s and 1990s. The research shows this caused the 1980 election to be recalled as one of America's best historical events.

Step-by-step explanation:

The League of Women Voters is pleased to welcome President Jimmy Carter, the Democratic Party's candidate for re-election to the Presidency, and Governor Ronald Reagan of California, the Republican Party's candidate for the Presidency. The candidates will debate questions on domestic, economic, foreign policy, and national security issues.

In the debate between sitting president Jimmy Carter and Republican challenger Ronald Reagan, Reagan's arguments and explanations best match the available evidence. Carter claims his policies had reduced the inflation rate by 10% in less than a year and points to the 9 million jobs he had provided to reduce unemployment rates. Reagan refutes this by mentioning that while Carter may have decreased the inflation rate from the beginning of the year, the inflation rate increased from 4.4% at the start of his presidency to almost 12% now. A graph provided by Ed Genuity proves this to be true, therefore current evidence supports Reagan's claim.

In the final week of the 1980 presidential campaign between Democratic President Jimmy Carter and Republican nominee Ronald Reagan, the two candidates held their only debate. And then, during the debate, Reagan posed what has become one of the most important campaign questions of all time: “Are you better off today than you were four years ago?” Carter’s answer was a resounding “NO,” and in the final, crucial days of the campaign, his numbers tanked.

On Election Day, Reagan won a huge popular vote and electoral victory. The “better off” question has been with us ever since. Its simple common sense makes it a great way to think about elections. And yet the answers are rarely simple.

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On the second journey Ikbal drives at an average speed of 64km/h.

work out

(i) the distance he travels in 90minutes,
in km

Answers

Answer:

96Km

Step-by-step explanation:

l wrote 90/60 because the speed is given in hours.

so I had to deal with hours only not hours and minutes.

that's why I wrote 90/60 .

you can also choose to divide.

I mean to change the minutes to hours so that the formula can work.

good day.

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