The graph of f(x) = ax^2 opens upward and is narrower than the graph of g(x) = x^2 . Which of the following could be the value of a?

A. -0.5

B. 6

C. 0.25

D. -2

Answer:

Option D.

y = 1/3x

Answer:

Step-by-step explanation:

reason 1:

opening of brackets to solve the expression

reason 2:

in multiplication order is followed i.e. the number always lead the variable in the expression

reason 3:

for clarification brackets are added to multiply like terms i.e. numbers with numbers and variable with the variable

reason 4:

the solved and simplified expression is delivered as a result

Answer:

Step-by-step explanation:

x/6 - 1 = -2

x/6 = -1

x = -6

$0.20

Hey! Let's help you with your question here!

So, let's start with what we are trying to find and that's the unit rate price per ounce of a large box of cereal. Now, let's focus on what we're given.

Alright! We've figured out what we know and what we need to find! Now, we can start figuring out how to solve it! Now how do we do that? Well in order to figure out the unit rate price, we need to take the price and divide it by the total quantity. In a formula, it looks like this:

\(Unit Rate=\frac{cost}{quantity}\)

If we plug everything into the formula, it would look like this:

\(UnitRate=\frac{5.20}{26}\)

\(UnitRate=0.20\)

Therefore, we can conclude that the unit rate price per ounce for the large box of cereal is $0.20 per ounce.

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Answer:

the of a is ABC are similar and b is 302ft

Answer:

Put it in between the 0 and -1. Put it on the last line closer to the -1 but not on the -1.

Step-by-step explanation:

This is because 3/4 in general is less than one.

Answer:

It does not represent a proportional relationship; it represents a non-proportional relationships.

Step-by-step explanation:

1. All proportional relationships follow the following equation: y = kx.

2. Because the equation y = 2x + 4 does not follow y = kx (because it has + 4), it is not proportional.

Therefore, the equation does not represent a proportional relationship.

Answer:

x÷3+5=6

Step-by-step explanation:

1. (x/3)+5=6

2. x/3=1/3x

3. subtract 5 from both sides and get 1/3x=1

4. multiply both sides by 3 because if u want to find what x equals u need to multiply it so its not 1/3x

Answer:

1st one 8/20

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

The cube root of 64 is the number which when multiplied by itself three times gives the product as 64. Since 64 can be expressed as 2 × 2 × 2 × 2 × 2 × 2. Therefore, the cube root of 64 = ∛(2 × 2 × 2 × 2 × 2 × 2) = 4.

The cube root of 64 is 4.

Before solving the question, let's understand the concept of cube root.

The cube root of a number is the value obtained by multiplying it by itself three times or thrice. When we multiply 3 by itself three times, we get 3 x 3 x 3 = 27 = 3³, so the cube root of 27 is 3. Thus, we can say that the cube root gives a value that is basically cubed.

The cube root is denoted by ∛

Now, we will find the cube root of 64.

Firstly, we have to find factor 64.

64 = 2 × 2 × 2 × 2 × 2 × 2.

64 = ∛4³

64 = 4

Therefore, the cube root of 64 is 4.

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Answer:

Step-by-step explanation:

do you think you could take a closer up one then I will help you.

Answer:

w

Step-by-step explanation:

Answer:

576 ft²

Step-by-step explanation:

Large rectangle:

21·36=756

Smaller rectangle:

15·12=180

Find leftover area:

756-180

=576 ft²

Hope this helps! :)

Answer:

The area that is left for development in the field outside the playground is 576 ft².

Step-by-step explanation:

To calculate the area left for development in the field outside the playground, we need to subtract the area of the smaller rectangle from the area of the larger rectangle.

The area of a rectangle is the product of its width and length:

\(\boxed{\sf Area\;of\;a\;rectangle=width \times length}\)

The dimensions of the larger rectangle are:

The dimensions of the smaller rectangle are:

Therefore, the development area can be calculated as follows:

\(\begin{aligned}\sf Development \;area&=\sf Area_{large\;rectangle}-Area_{small\;rectangle}\\\\&=(21 \times 36)-(15 \times 12)\\\\&=756-180\\\\&=576\; \sf ft^2\end{aligned}\)

Therefore, the area that is left for development in the field outside the playground is 576 ft².

Answer:

12) v=0

13) w=9

14) y=5

15) z=-8

16) n=2, m=-2

17) x=3

18) 1, because \(2^{4}/{2^{4} =1\). Therefore \(2^{4}/{2^{4} = 2^{4-4}=2^{0}=1\)

Step-by-step explanation:

12) Exponent Zero rule. Anything raise to 0 power equals 1.

13) Exponent Negative rule: \(b^{-n} =\frac{1}{b^n}\)

14) Exponent Quotient rule: \((a^n/a^m)=a^{n-m}\)

In this case, \((3^3/3^5)=3^{3-5}=3^{-2}=1/3^2=1/9\)

15) Exponent Product rule: \((a^n*a^m)=a^{n+m}\)

In this case, \((5^8*5^{-8})=5^{8-8}=5^0=1\)

16) Same rule as #15, \((7^2*7^{-2})=7^{2-2}=7^0=1\)

17)We can work backwards here, we know \(2^{2} = 4\) and \(3^{1} =3\), so we need \(2^2/3^1=4/3\).

To achieve this, use Exponent Quotient rule, what x-4=1? x=5.

Similar base: \((3^5/3^4)=3^{5-4}=3^{1}=1/3\). Put \(2^{2}\) back for \(\frac{4}{3}\)

18) 1*1*1*1=1. Anything raise to 0 power equals 1 (Exponent Zero rule). To prove this, any number(except 0) divided by itself equals 1.

Ex: 1/1=1, 4/4=1, \(2^4/2^4=1\).

We can prove this with the Exponent Quotient rule. \(1=\frac{3}{3} =\frac{3^1}{3^1}=3^{1-1}=3^0=1\). No matter how I write it, it's equal to 1.

The one exception is \(0^{0}\), which is undefined, since dividing by zero is illegal.

Hope this helps. ;)

Answer:

12) v=0

13) w=9

14) y=5

15) z=-8

16) n=2, m=-2

17) x=3

18) 1, because . Therefore

Step-by-step explanation:

12) Exponent Zero rule. Anything raise to 0 power equals 1.

13) Exponent Negative rule:

14) Exponent Quotient rule:

In this case,

15) Exponent Product rule:

In this case,

16) Same rule as #15,

17)We can work backwards here, we know  and , so we need .

To achieve this, use Exponent Quotient rule, what x-4=1? x=5.

Similar base: . Put  back for

18) 1*1*1*1=1. Anything raise to 0 power equals 1 (Exponent Zero rule). To prove this, any number(except 0) divided by itself equals 1.

Ex: 1/1=1, 4/4=1, .

We can prove this with the Exponent Quotient rule. . No matter how I write it, it's equal to 1.

Answer:

B. 42 Mins

Step-by-step explanation:

you take .70x60mins and that is 42 mins.

The area of the parallelogram given in the image is 72 square units.

The area of a parallelogram is taken as base × height because it can be divided into two different parts and then reshuffled to make a rectangle, whose area is also base × height.

We know that the area of a parallelogram = base × height  ......(i)

Also, we are given quantities for base = 6 units

and height = 12 units

So, putting the values in equation (i), we get

⇒ area = base × height

⇒ area = 6 × 12

⇒ area = 72 square units

So, the area of the parallelogram given is 72 square units.

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Answer:

A.3,000 prairie dogs

B. 18,000 pounds  

C. 6 pounds per prairie dog

Step-by-step explanation:

A. Use graph

B. 2000x9=18,000

C.18000 divided by 3000= 6

*Give 5 stars*

Answer:

d =13 cm

r = 6.5 cm

Step-by-step explanation:

The diameter is the distance across the circle, going through the center

d = 13 cm

The radius is 1/2 of the diameter

r = d/2 = 13/2 = 6.5 cm

Answer:

Radius is 6.5

Diameter is 13

Step-by-step explanation:

The diameter is the distance across the circle. The radius is half the distance across the circle.

Answer:

I don't know

Step-by-step explanation:

The correct equation to represents the price P in dollars of c cookies will be;

⇒ P = $0.75c

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The cost of 6 cookies = $4.50

Now,

Since, The cost of 6 cookies = $4.50

Hence, The cost of 1 cookies = $4.50/6

                                              = $0.75

So, We can formulate;

The cost of c cookies = $0.75c

Hence, The equation to represents the price P in dollars of c cookies is;

⇒ P = $0.75c

Thus, The correct equation to represents the price P in dollars of c cookies will be;

⇒ P = $0.75c

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Answer:

The point-slope form of the equation of a line is given by y - y1 = m(x - x1), where (x1, y1) is a point on the line and m is the slope of the line. In this case, we have a point (-1,-2) and a slope of 3. Substituting these values into the equation, we get:

y - (-2) = 3(x - (-1))

Simplifying this equation, we get:

y + 2 = 3(x + 1)

So, the equation for the linear function whose graph contains the point (-1,-2) and has a slope of 3 is y + 2 = 3(x + 1).

Answer:

3x+7 = 6x-8

7+8=6x-3x

15=3x

x=5

3x5+7=22

6x5-8=22

Step-by-step explanation: