OA x + 2y ≤ 5
and 3x + y ≥ 4
OB. + 2y ≤ 5
and
3x + y ≤ 4
OC. I + 2y 25
and
3x + y ≤ 4
OD. x + 2y 25 and
3x + y ≥ 4
-7-6-5-4-3-2-1
9465
12.3.4.5.6

Answer:

7/9

Step-by-step explanation:

Divide the numerator and denominator by 4.

28/36 = 7/9

Answer:

7/9

Step-by-step explanation:

28 and 36 are both divisible by 4.

28÷4 is 7 and

36÷4 is 9

28/36 = 7/9

Step-by-step explanation:

x=66°

180-118=62°

180-52+62=66°

hope this helps

Answer:

x≥20

Step-by-step explanation:

-3(6-2x)≥4x+12

or, -18+6x≥4x+12

or, -18-12≥4x-6x

or, -40≥-2x

or, -40/2≥-x

or, -20≥-x

or, 20≥x

= x≥20

Answer:

19-73 19-73 and a very nice little

Step-by-step explanation:

19-73 19-73 and he changed

Answer:

A, B and E

Step-by-step explanation:

Answer: A,B and E i did the test

Step-by-step explanation:

Answer:

a. 1/3pi+kpi and 2/3pi+kpi

Step-by-step explanation:

2Sec²x

=2+2tan²x-(tan²x)²=-1

Let tan²x=u

-u²+2u+2=-1

-u²+2u+3=0

u²-2u-3=0

(u+1)(u-3)=0

u=-1,u=3

(tan x)²=-1(No solution)

(tan x)²=3

>>tan x=±sqrt(3)

I) tan x=sqrt(3)

>>tan(pi/3)=sqrt 3

Tan(pi+A) =tanA

Tan(pi+pi/3)=tan(pi/3)

>>tan(4/3pi)=sqrt(3)

>>x=4/3pi and 1/3pi

General solution: 1/3pi+kpi

ii) tan x=-sqrt(3)

x=2/3pi(At 2nd quadrant)

x=5/3pi(at 4th quadrant)

General solution: 2/3pi+kpi

Answer:

None of the options are correct

О E. 289.2 cm

Step-by-step explanation:

Volume of a cylinder = v = л r² h

л = 3.1416     (aprox)

r = radius

h = height

8177 = 3.1416 * 3² * h

8177 = 3.1416 * 9 * h

8177 = 28.2744 * h

8177/282744 = h

h = 289.2 cm

Answer:

see explanation

Step-by-step explanation:

the domain is the set of x- coordinates from the ordered pairs , that is

domain : { - 7, - 3, 0, 5 }

the range is the set of y- coordinates from the ordered pairs, that is

range : { - 2, 1, 2, 5 }

Answer:

26 gm

Step-by-step explanation:

Tin is   1   out of (9+1)   = 1/10 th

1/10th * 260 gm  =   26 gm

Answer:

R

H

S

=  cos

2

x

Step-by-step explanation:

Hope this helped!

Answer:

11.65

Step-by-step explanation:

45 cos 75 (in degrees not radians) =

11.6468570296

jiskha

raka

Answer:

Divide the shape in two pieces:

A rectangle and a triangle

Find area of rectangle:

A=length*width=5*4=20m^2

Find area of triangle:

base of triangle=5-2=3m

height of triangle=8-4=4m

Area=(1/2)*base*height

=(1/2)(4)(3)=6m^2

Total area=6+20=26m^2

Hope it helps!

Answer:

From the graph in the attachment, it is clear that Option A is correct.

Step-by-step explanation:

The given inequalities are x - 4y ≤ 4 and y < x + 1.

Let us take the first line x - 4y ≤ 4 and remove the inequality and add equality, x - 4y = 4.

Now, we will find the intercept points. Putting y = 0 we will get x = 4 and putting x = 0 we will get y = -1. So, the points are (4,0) and (0,-1).

When we will solve the inequality, we find that portion above the graph satisfies this inequality.

Let us take the second line y < x + 1 and remove the inequality and add equality, y = x + 1.

Now, we will find the intercept points. Putting y = 0 we will get x = -1 and putting x = 0 we will get y = 1. So, the points are (-1,0) and (0,1).

When we will solve the inequality, we find that portion below the graph satisfies this inequality.

All these conditions satisfy the Option A.

The diagram is in the attachment.

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Answer:

Domain: All real numbers

Range: y≤4

Answer:

B is the correct answer

Step-by-Step:

The graph of h(x) is the graph of g vertically shifted down 5 units. Then the correct option is C.

Functions are found all across mathematics and are required for the creation of complex relationships.

The function g(x) = x² is transformed to obtain function h:

h(x) = g(x) − 5

h(x) = x² − 5

The graph h(x) get shifted downward by 5 units.

Then the correct option is C.

More about the function link is given below.

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[tex]\log_7(x+9)-\log_710=\log_77\qquad(x > -9)\\\log_7\dfrac{x+9}{10}=1\\\dfrac{x+9}{10}=7\\x+9=70\\x=61[/tex]

The domain and the range of an exponential parent function, that is, y = eˣ are equal to all real numbers and non-negative numbers, respectively. (Correct choice: C)

In this problem we should determine what an exponential parent function is. The most common exponential functions have the following form:

[tex]y = A\cdot e^{B\cdot x} + C[/tex]     (1)

(1) is an exponential parent function for A = 1, B = 1 and C = 0.

All functions are relations with a domain and range, the domain is an input set related to the range, that is, an output set. In the case of an exponential parent function, the domain and the range of the expression are [tex]\mathbb{R}[/tex] and y ≥ 0, respectively. (Correct choice: C)

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[tex] \sf{\qquad\qquad\huge\underline{{\sf Answer}}} [/tex]

Let's evaluate ~

[tex]\qquad \sf  \dashrightarrow \: 2 {x}^{2} - 1[/tex]

plug in the value of x :

[tex]\qquad \sf  \dashrightarrow \: 2(3) {}^{2} - 1[/tex]

[tex]\qquad \sf  \dashrightarrow \: 2(9) - 1[/tex]

[tex]\qquad \sf  \dashrightarrow \: 18 - 1[/tex]

[tex]\qquad \sf  \dashrightarrow \: 17[/tex]

The required value is 17

-------------------------------------------------------------------------------------------------------------

Answer:  [tex]\textsf{Option B, 17}[/tex]

-------------------------------------------------------------------------------------------------------------

Given:  [tex]\textsf{2x}^2\textsf{ - 1}[/tex]

Find: [tex]\textsf{When x = 3}[/tex]

Solution: In order to find the value when x is equal to 3 we just need to equate any x to the value of 3 and simplify.

Plug in the values

Simplify the expression

Therefore, the answer that would make most sense would be option B, 17.

Answer:

Inequality would be the answer

Answer: 2m/s

Step-by-step explanation:

The boat goes twice as fast down the river, which means it goes twice as slow up the river.

Because the river flows at 2m/s, I think the answer is 2m/s

Answer:

Step-by-step explanation:

given

cos(30°) = [tex]\frac{adjacent}{hypotenuse} \\[/tex]

cos(30°) = [tex]\frac{b}{c} \\[/tex]

cos(30°)=[tex]\frac{b}{16}[/tex]

b = 16cos(30°)

b [tex]16(\frac{\sqrt{3} }{2})\\ = 8\sqrt{3}[/tex]

C. y= |x-5|

you have the right idea, it's being shifted horizontally so the shift would be shown inside of the brackets. However, it would be |x-5| not |x+5| because the graph is shifting to the right.

The function that best models the scenario is as follows;

x < 5 :  C(x) = 3.45x + 1

x ≥ 5  : C(x) = 3x + 1

A local candy shop sells boxes of chocolate for $3.45 each.

This is when the consumer purchase less than 5 boxes of chocolates.

Therefore,

x = number of boxes

when x < 5

C(x) = 3.45x + 1

If a customer purchases five or more boxes, the cost is only $3 per box. Therefore,

when x ≥ 5

C(x) = 3x + 1

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It takes 16,064 years for the 500g of radium to decay to 5g.

Here we have the decay equation:

[tex]Q(t) = Q_0*e^{-k*t}[/tex]

Where Q₀ is the initial amount, and k is the decay constant.

We know that:

Q₀ = 500g

k = 0.00043

And we want to find the value of t such that Q(t) = 5g, so we need to solve:

[tex]5 = 500*e^{-0.00043*t}\\\\5/500 = e^{-0.00043*t}\\\\0.001 = e^{-0.00043*t}[/tex]

Now we can apply the natural logarithm in both sides:

[tex]ln(0.001) = ln(e^{-0.00043*t})\\\\ln(0.001) = -0.00043*t\\\\\frac{ln(0.001)}{-0.00043} = t = 16,064.5[/tex]

So it takes 16,064 years for the 500g of radium to decay to 5g.

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Answer:

2/5

Step-by-step explanation:

Answer:

Yes, the relation is proportional because the ratios are equivalent between each pair of values

Step-by-step explanation:

 Proportional relationships are relationships with equal ratios.

Entries in the respective columns are:

        column 1 (Minutes)              column 2 (Blocks)                 Ratios

                   6                                           3                                    1/2                

                   14                                          7                                    1/2

                   20                                         10                                  1/2

  As the ratio of Blocks and Minutes is same for every row,

   the given table represent a proportional relationship.

  hence, option c is correct.

   Yes, because the ratios are equivalent between each pair of values.

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Answer: Yes, the relation is proportional because the ratios are equivalent between each pair of values :)

The distance Leah would have to walk home is 1.5 miles

From the question, we are to determine the distance Leah will have to walk home

From the given information,

Price of journey in pounds = 3 + 2 × distance in miles

Let the distance be d

Then,

Price of journey in pounds = 3 + 2d

Since Leah has £5, we can write that

5 = 3 + 2d

5 - 3 = 2d

2 = 2d

∴ d = 2/2

d = 1 mile

This means her money can only cover 1 mile

But the journey to her home is 2.5 miles

Therefore, she will have to walk

2.5 mile - 1 mile  = 1.5 miles

Hence, the distance Leah would have to walk home is 1.5 miles

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