Drag each tile to the correct box. Graph the functions as transformations of f(x)=x^2. Arrange the parabolas with respect to the position of their vertices from left to right. 1: y=f(x)
2: y=f(x-4)
3: y=f(x+3)
4: y=f(x-7)
5: y=f(x+2)
6:y=f(x-1/2)

Answer:

c.

Step-by-step explanation:

Students who have chosen to attend a basketball game are more likely to like basketball.

Cost of laying sand on this path = Rs. 1372 at the rate of Rs. 7 per sq. m

Step-by-step explanation:

[ refer to attachment ]

Area of field + path = L × B

=> 35 × 18

=> 630 m² -------------(1)

Area of field = L× B

=> 31 × 14

=> 434 m² --------------- (2)

Area of path = area 1 - area 2

=> 630 - 434

=> 196 m²

Given Rate = Rs. 7/ m²

If cost of 1m² = Rs. 7

Cost of 196m² = 7×196

=> Rs. 1372

Answer:

[tex]\sec\theta=4[/tex]

Step-by-step explanation:

Recall the reciprocal identity [tex]\displaystyle \sec\theta=\frac{1}{\cos\theta}[/tex], thus, [tex]\displaystyle \sec\theta=\frac{1}{\frac{1}{4}}=4[/tex]

Answer:

120 cubes

Step-by-step explanation:

We can find the number of smaller cubes that will fit into larger rectangular prism by dividing the volume of prism by the volume of cube.

  Rectangular prism:

       [tex]\sf l = 2\dfrac{1}{2} =\dfrac{5}{2} \ inches\\\\w = 4 \ inches\\\\h =1\dfrac{1}{2}=\dfrac{3}{2} \ inches\\[/tex]

            [tex]\sf \boxed{\text{\bf Volume of rectangular prism= l * w * h}}[/tex]

                                                                 [tex]\sf =\dfrac{5}{2}*4*\dfrac{3}{2}\\\\= 5*1*3\\\\= 15 \ in^3[/tex]

Cube:

       [tex]\sf side = \dfrac{1}{2} \ inches\\[/tex]

                [tex]\sf \boxed{\text{ \bf Volume of cube = side * side *side}}[/tex]

                                                [tex]\sf =\dfrac{1}{2}*\dfrac{1}{2}*\dfrac{1}{2}\\\\ =\dfrac{1}{8} \ in^3[/tex]

Number of cubes = Volume of prism ÷ volume of a cube

                              [tex]\sf = 15 \div \ \dfrac{1}{8}\\\\=15 *\dfrac{8}{1}\\\\= 120[/tex]

The maximum number of sales will be equal to 37.

A function in mathematics set up a relationship between the dependent variable and independent variable. on changing the value of the independent variable the value of the dependent variable also changes.

Given function is:-

The maximum value of d = 3

s(d)  =  d³   +  10

s(d)  = (3)³  +  10

s(d)  = 27  +   10

s(d)  =  37

Therefore the maximum number of sales will be equal to 37.

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Answer:

-4 < x ≤ -3

Step-by-step explanation:

Separate it into 2 inequalities

2x+6 ≤x+3

x ≤-3

x+3<3x+11

-8 < 2x

x > - 4

Combine the 2 results

-4 < x ≤ -3

Answer:

61 people per each group

Step-by-step explanation:

244/4= 61

Answer: 61 people in each group

Step-by-step explanation: 244 divided by 4 is 61

Answer:

V = 945.7 cm^3

Step-by-step explanation:

I'm assuming the carton is a rectangular prism/has right angles. The volume formula for a rectangular prism is V = lwh, where l = length, w = width, h = height.

Substitute known values into this formula:

V = 7 × 7 × 19.3

V = 945.7 cm^3

Answer:

Option A is correct.

Step-by-step explanation:

1. solve the inequalities

2. find the intersection :)

There are some calculator shortcuts that can be used on a Windows OS and they are:

This refers to the mathematical tool that is used to make scientific calculations to find an expected result and is fully automated.

Hence, we can see that calculator shortcuts in a Windows OS exists and some of them include the combination of keys on a keyboard for quick actions such as clearing and recalling from memory, among many others.

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Answer:

12:28

Step-by-step explanation:

yesterday the ratio would be 6:14 so then you double that to get 12:28

Step-by-step explanation:

with 2 dice we have 6×6 = 36 possible outcomes.

you know

1, 1

1, 2

1, 3

...

6, 6

from these 36 possible outcomes only the following have a sum of 4 :

1, 3

2, 2

3, 1

so, 3 out of 36.

that mags the probability is

3/36 = 1/12

the first answer option is correct.

Answer:

I think it might be 156 square milimeters. I could be totally wrong though.

Step-by-step explanation:

Answer:

isosceles

Step-by-step explanation:

just ask

Answer:

See below.

Step-by-step explanation:

To find the surface area, find the area of the square base and add it to the area of each triangle face. Find the area of the base by multiplying base length by base length. Find the area of each triangle face by multiplying 1/2 * b*h.

Example:

For a base which is 12 by 12. The area is 12 x 12 = 144.

For the triangle face, the area is 1/2 * 12 * 15 = 90. Since there are 4 faces, the total area is 4 * 90 = 360.

Together the surface area is 360 + 144 = 504.

Answer:

2x+8

Step-by-step explanation:

The rate of change of function 1 is 2

A line is a one-dimensional figure, which has length but no width. A line is made of a set of points which is extended in opposite directions infinitely.

Given function: y = 2x + 7.

As the graph of function 1 is not given.

the rate of change of function 2 : y = 2x + 7.

As the the value of m or rate of change of above equation is 2

m=2.

as,  the horizontal line passes, the rate of change is 0

Hence, rate of change is 2.

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Answer:

learn

Step-by-step explanation:

Answer:number 1 and 4

Step-by-step explanation:

The value of y in y = 5x if the value of x doubles itself is y also doubles itself; option A

y = 5x

if x = 2

y = 5(2)

y = 10

if the value of x doubles, for instance, if x = 4

y = 5(4)

y = 20

y = 5/x

if x = 0.5

y = 5/0.5

y = 10

if the value of x triples, for instance, if x = 0.125

y = 5/x

= 5/0.125

y = 40

The value of y in y = 5/x if the value of x triples itself is y also triples itself; option B

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Answer:

the given expression is equivalent to the

Step-by-step explanation:

[tex] {3}^{7} \times \frac{1}{ {3}^{4} } [/tex]

Using proportions, it is found that Bob will be 90 feet from the surface of the water after 2 minutes.

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

In this problem, every half-minute, he ascends 15 feet. Hence in 2 minutes = 4 half-minutes, he will have ascended 15 x 4 = 60 feet.

He is 150 feet below the surface of the water, hence after 2 minutes he will be 150 - 60 = 90 feet from the surface of the water.

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Answer:

899

Step-by-step explanation:

h[f(10)]=h(30)

=(30)^2-1=900-1=899

Answer:

0.97

Step-by-step explanation:

To convert a fraction to a decimal, divide the numerator by the denomiator.

29 ÷ 30 = 0.966666667

= 0.97 (rounded)

hope this helps!

Answer:

(-11, -25)

Step-by-step explanation:

Use substitution.

Answer:

1-2*sin^2 (x) = 2cos^2(x) -1

Step-by-step explanation:

1-2sin^2(x)

= 1-2(1-cos^2(x)) =2cos^2(x)-1; Pythagorean identity, sin^2(x)=1-cos^2(x)

=1-2+2cos^2(x)=2cos^2(x)-1; distribute

= -1+2cos^2(x)=2cos^2(x) -1; collect and rearrange terms

= 2cos^2(x)-1 = 2cos^2(x)-1

so x-3=4 you add 3+4=7 and your answer is x=7

Answer:

12:)

Step-by-step explanation:

Answer:

The answer would be Science.

I don't know how to explain it just yet :(

Answer (if the number is 10 3/8):

83/8

Step-by-step explanation:

to find out we multiply the whole number (10) by the denominator (x/8) as shown below

10 * 8 = 80

then we just add the product to the numerator (3/y)

3 + 80 = 83

usually we would simplify the new expresion given -wich is 83/8- by finding the least common denominator, however this improper fraction is already in simplest form