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Diano4ka-milaya [45]
3 years ago
9

Complete the following statements

Mathematics
1 answer:
hodyreva [135]3 years ago
4 0

ANSWER

See explanation.

EXPLANATION

The given expression is

y =  {x}^{2}  + 5

The parent function is

y =  {x}^{2}

We can see that the transformation is of the form:

y =  {x}^{2}  + k

This is a vertical upward shift of the parent function by k units.

The graph of y=x^2+5 can be obtained from the graph y=x^2 by shifting the graph of y=x^2 up by 5 units.

b) The graph of y= 10x^2 can be obtained from the graph y=x^2 by stretching vertically the graph of y=x^2 by a factor of 10.

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Rise over run or the change in Y over the change in X
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3 years ago
Very easy question I will mark you brainliest
sesenic [268]

Answer:

1. Yes

2. Yes

Step-by-step explanation:

A monomial is an algebraic expression consisting of one term. So, 29 is a monomial.

5x^{7} has only one term. So, 5x^{7} is a monomial.

3 0
3 years ago
How do you solve -9=x-3
Ede4ka [16]

Answer:

Step-by-step explanation:

-9= x -3  (add 3 to both sides of the equal sign)

-9+3  = x -3+3

-6 = x

solved  :)

8 0
3 years ago
Read 2 more answers
A college surveys local businesses about the
Mrrafil [7]

Answer:

approximately 54.7% did not respond.

Step-by-step explanation:

Consider the provided information.

The  college chooses 150 businesses at random  from telephone listings.

Of these, 68 return  the questionnaire.

That means 68 of them responded.

The number of people who did not respond are:

150-68=82

The number of people who did not respond are 82.

Now find the percentage of people who did not respond.

\frac{82}{150}\times 100 \approx 54.7\%

Hence, approximately 54.7% did not respond.

7 0
3 years ago
Someone help ASAP!!!!!!
Alchen [17]

Answer:

Length, l = 11 ft.

Width, w = 9 ft.

Step-by-step explanation:

From the given data, the area of the rectangle = 99 ft².

Area of the rectangle = Length, l X Width, w

Here, Length, l = 7 more than twice the width

⇒       Length, l = 7 + 2w

Therefore, Area, A = 99 = (7 + 2w)w

⇒ 99 = 7w + 2w²

⇒ 2w² + 7w - 99 = 0

Solve the Quadratic equation using the formula: x = $ \frac{-b \pm \sqrt{b^2 - 4ac}}{2a} $ for the quadratic equation ax² + bx + c = 0.

Therefore, w = $ \frac{-7 \pm \sqrt{7^2 -4(2)(-99)}}{2(2)} $

$ = \frac{-7 \pm \sqrt{49 + 8(99)}}{4} $

$ = \frac{-7 \pm + \sqrt{841}}{4} $

Since, $ \sqrt{841} = 29 $ we get:

$ w = \frac{-7 \pm 29}{4} $

This gives two values of 'w', viz., w = $ \frac{-7 - 29}{4} $, $ \frac{-7 + 29}{4} $

$ \implies w = \frac{22}{4}, \frac{-36}{4} $

⇒ w = $ \frac{22}{4} $, -9.

We take the integer values.

If w = -9, then l = 2(-9) + 7

⇒ l = - 18 + 7 = - 11

Therefore, the length, l of the rectangle = - 11 ft.

and the width, w of the rectangle = - 9 ft.

Hence, the answer.

3 0
3 years ago
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