Viktoriya solved an equation as shown below.

5 (x - 2) -3 x = 2 (x - 3) - 16
5 x - 10 -3 x = 2 x -6 = 16
2 x - 10 = 2 x - 22.
-10 = -22.

She says that the equation has infinitely many solutions. Which describes Viktoriya’s error?

A.) Viktoriya used the distributive property incorrectly when she found the solution.
B.) Viktoriya should have said that the equation has no solution.
C.) Viktoriya should have continued to solve the equation to find that x = 0.
D.) Viktoriya should have said that the equation has one unique solution.

Answer:

C'(1, 2 )

Step-by-step explanation:

The translation (x + 3, y - 2 ) means add 3 to the original x- coordinate and subtract 2 from the original y- coordinate, thus

C(- 2, 4 ) → C'(- 2 + 3, 4 - 2 ) → C'(1, 2 )

Answer:

A,E

Step-by-step explanation:

A    The minimum number of pages read was 24.  The smallest number is the dot on the left side which is at 24

E    The mean is the middle line in the box, this is at 48

Answer:

39/10

Step-by-step explanation:

Answer:

39/10

Step-by-step explanation:

happy to help u:)

Answer:

1 , 29/11

Step-by-step explanation:

3x+y = 10 ....(1)

2x² +y² = 19 ....(2)

3x+y= 10

y = 10-3x

substituting the value of y in 2nd equation

2x² + y² = 19

2x² + (10-3x)² = 19

2x² + 100 + 9x² - 60x -19 = 0

11x² - 60x +81 = 0

11x² - 33x - 27x + 81 = 0

11x( x-3) - 27(x-3) = 0

(x-3)(11x-27) = 0

x = 3, 27/11

substituting x value on first equation

x= 3 x= 27/11

y= 10-3(3) y= 10 - 81/11

= 10-9 = (110-81)/11

= 1 = 29/11

Hope it helps...

Answer:

Option D. will be the answer.

Step-by-step explanation:

Given function is f(x) = 2x³ + 2x² - x

Table of input and output:

Input (x)     -2        -1         0         1          2

Output (y)  -6         1         0         3        22

Option (A).

From the graph attached,

It passes the vertical line test.

Option (B).

Since every input value gives a unique output value, it's not a many-to-one function.

Option (C).

It's a function.

Option (D).

It's a one-to-one function.

Answer: It is a many-to-one function.

Step-by-step explanation:

just did the test

Answer:

b => base  => 40 cm

h => altitude => 30 cm

A = h*b/2

h=b-10

600=(b-10)b/2

600 = (b^2-10b)/2

1200=b^2-10b

b^2-10b-1200=0

(b-40)(b+30)=0

b=40 cm

h=b-10 = 40-10=30

Answer: Incomplete question

Step-by-step explanation: The question does not provide a diagram, and that makes it difficult to determine which side is labelled as B. Nevertheless I will give you clues to help you answer your question by explaining  this topic which is SIMILAR TRIANGLES.

When you have been given two triangles with a scale factor, the scale factor is an important part of answering the question eventually.

Consider a triangle which I shall call triangle 1, with sides abc and another triangle ABC, which I shall call triangle 2. The scale factor is 8, which means triangle 1 can be enlarged into a similar triangle by simply multiplying any corresponding side by 8. Hence, if in triangle abc, you have a side that measures 8 centimetres, the corresponding side in triangle ABC would be 8 times 8 which equals 64 centimetres.

The question states that side A corresponds with a side measuring length 2 centimetres. That means side A is derived as 2 times 8 which equals 16 centimetres, as explained above (and as shown in the question). Therefore side B which is yet unknown shall also be the corresponding side in triangle 1 multiplied by 8.

Since the corresponding side was not stated, I shall assume for the sake of explanation that the corresponding side is 10 centimetres. That means, side B would now be derived as 10 times 8 which equals 80 centimetres.

These can be expressed mathematically as follows;

If A = 16, a = 2 and b = 10 then B would be calculated as follows;

A/a = B/b

16/2 = B/10

By cross multiplication, you now have

16 * 10 = 2 * B

160/2 = B

80 = B

Following these steps along with the explanations, the length of side B can be derived if the value of its corresponding side is given or a diagram is provided.

Answer:

its 40 because the dude above is an but face (sorry) (not sorry u suk)

Step-by-step explanation:

welcum

Answer:

1/12

Step-by-step explanation:

The desired probability is the product of the probabilities of two independent events.  The probability of obtaining a 4 on the fair 6-sided die is 1/6 (one out of 6) and that of the spinner's coming to rest on Yellow is 2/4, or 1/2.

Calculate the probability of this joint event as follows:  (1/6)(1/2) = 1/12

Answer:

The difference is 11 units

Step-by-step explanation:

When we talk of the abscissa, we are referring to the x-axis.

So what this question is asking us is the difference between the values of the x-axis

At point A, the value is 4 while at point B, the value here is -7

So the difference between this two would be 4-(-7) = 4 + 7 = 11 units

[tex]tom \: will \: get \:£166 \\ ben \: will \: get \: £581\\ solution \\ let \: the \: ratios \: be \: 2x \: and \: 7x \\ 2x + 7x = 747 \\ or \: 9x = 747 \\ or \: x = \frac{747}{9} \\ x = £83 \\ replacing \: value \\ 2x \\ = 2 \times 83 \\ = 166 \\ 7x \\ = 7 \times 83 \\ = 581 \\ hope \: it \: helps[/tex]

Answer:

Tom=£166

Ben=£581

Step-by-step explanation:

Answer:

To factor trinomals in the form of x^2+bx+c, you have to find 2 integers, r and s, whose product is c, and whose sum is b. You have to rewrite the trinomial as x^2+rx+sx+c and then using the grouping and distribution of property to factor the polynomial. The result of the factors will be (x+r) and (x+s)

Step-by-step explanation:

Answer:

Rational number

Step-by-step explanation:

Rational numbers repeat and terminate. The square root of 9 is 3, and 3 is a whole number as well as a number that terminates,  which makes it a rational number

Answer:

Step-by-step explanation:

Given the height of the ball modelled by the equation h(t)=16t²+84 after t secs. At the maximum height, the velocity of the ball is zero.

Velocity V is the change of rate of displacement.

V = dh/dt = 32t

0 = 32t

t = 0secs

at t = 0;

h(0) = 16(0)²+84

h(0) = 84feet

This shows that the maximum height of the ball is 84feet

Answer:

Step-by-step explanation:

First problem:  3x + 8 ≥ y  

Second problem:  Represent the number of cupcakes with n and that of balloons by m.  Then ($2/cupcake)(n) + ($1.25/balloon)(m) ≥ $25

Answer:

C) 3x

Step-by-step explanation:

There are three feet in a yard. Yards are represented by x in this problem and therefore the answer is 3x.

Answer:12ft

Step-by-step explanation:

As per linear equation, the resulting width of the satellite dish is 12 feet.

A linear equation is an equation that may contain one or multiple variable with the highest power of the variable is 1.

The width of the satellite dish extended along with the x-axis from (- 6, 0) to (6, 0).

Therefore, the width of the satellite dish is

= (6 + 6) feet

= 12 feet

Therefore, the width is 12 feet.

Learn more about a linear equation here: https://brainly.com/question/16908943

#SPJ3

Answer:1 1/6

Step-by-step explanation:

Answer:

This is an enlargement.

Step-by-step explanation:

This is an enlargement.

A reduction would be smaller

A rotation would be changing the angle and a reflection would be a mirror image

Answer:

The answer would be -9 and -3 which would be B and D

Step-by-step explanation:

Answer:

False

Step-by-step explanation:

Let us check using Pythagorean Theorem

[tex]c^2 = a^2 + b^2[/tex]

Where c is the hypotenuse (14), a is the base (13) and b is the perpendicular (5)

Putting in the above formula

[tex]14^2 = 13^2 + 5^2[/tex]

196 = 169+25

196 ≠ 194

So, It is not a right angled triangle

Step-by-step explanation:

y + 2. = -2(x - 5)

y + 2 = -2x + 10.

y = -2x + 8

Answer:

301.44 cm ^ 2

Step-by-step explanation:

We have that the total surface area of a cone would be the sum of the base area and the lateral surface area.

the area of the base, being a circle is pi * r ^ 2

the lateral area would come being the multiplication between the inclined height, the radius and the number pi, that is to say pi * r * l

the inclined height is calculated using the Pythagorean theorem, the legs being the radius and the altitude, thus:

l ^ 2 = 6 ^ 2 + 8 ^ 2

l ^ 2 = 100

l = 10

Therefore, we can replace:

A = 3.14 * 6 ^ 2 + 3.14 * 10 * 6

A = 301.44

It means that the total surface area is 301.44 cm ^ 2

Answer:

p ∨ q → True

(q → p) → True

Step-by-step explanation:

If the truth value of the statement p is 'True' and truth value of statement q is 'False',

p ∧ q → False [Conjunction of both the statements will be true only when both the statements are True]

p ∨ q → True [Disjunction of two statements will be false only when both the statements are false]

(p → q) → False

(q → p) → True [Implication of both the statements is false only when p is true and q is false otherwise true]

(p ↔ q) → False [Bi-conditional statements are true if and only when both the statements are true]

(q ↔ p) → False

Answer:

Your answer would be answer two and four.

Complete question:

Two stacks of 23 quarters each are shown below. One stack forms a cylinder but the other stack does not form a cylinder.

Use Cavelieri’s principle to explain why the volumes of these two stacks of quarters are equal.

Answer:

In this image, we have 2 stacks, whereby one stack forms a cylinder and the other stack doesn't form a cylinder.

We are required to use Cavelieri’s principle to explain why the volumes of the two stacks of quarters are equal.

Cavelieri’s principle states that the volume of two solid figures will be equal if both figures have equal height, the distance from their respective base is equal and their corresponding cross section are of the same area.

Here, we can see that the quater of each stack have the same base area. Since, both quaters have the same base area, there will be no difference in the area of the cross section of both stacks.  

The volume of these 2 stacks of quarters will be equal because both stacks have have the same height of 23 quaters.

Answer: 18 tiles

Step-by-step explanation:

Area of the floor = l x w = 3.6 * 2.4 = 8.64 sq. m.

Area of one tile = l x w = 8 * 6 = 48 cm = 0.48 m

No. Of tiles that can fit the floor =

8.64 / 0.48 = 18

Answer:

He saves £133 every week

Answer:

0

Step-by-step explanation:

Rewrite the equation as x^2-3x+9=0

find the determinant.

D = b^2-4ac = (-3)^2-4*1*9 <0

no solution

Answer:

D

C

B

A

Step-by-step explanation:

In the picture ⬆️

Llllllllllllllllllllll

Answer:

The answer of -1.

Step-by-step explanation:

You have to add both numbers together :

[tex] - 30 + 29 \\ = - 1[/tex]

[tex] - 30 + 29 \\ = - 1 \\ hope \: it \: helps \\ good \: luck \: on \: your \: assignment[/tex]