Select the correct answer.
If the graph of f(x) = 4x is shifted 7 units to the left, then what would be the equation of the new graph?
A.
g(x) = 4x + 7
B.
g(x) = 4(x + 7)
C.
g(x) = 4(x − 7)

Answer:

There would be 15 tablespoons of lime juice and 12 tablespoons of soy sauce.

Answer:

The expression that represents the approximate area of the circle in square inches is;

9.42 times 3

Step-by-step explanation:

From the question, we have;

The shape of the figure which Kyra is finding the area for = A circle;

The number of equal pieces Kyra cuts the shape into = 8 equal sectors

The shape the sectors are arranged into = A parallelogram

The base of the parallelogram = 9.42 inches

The height of the parallelogram = 3 inches

Therefore, the area of the approximate parallelogram formed ≈  The area of the circle

The area of a parallelogram = The base × The height

∴ The area of the approximate parallelogram formed = 9.42 × 3 ≈ The area of the circle

The approximate area of the circle = 9.42 × 3 square inches.

Answer:

B

Step-by-step explanation:

Just to simplify the top answer :)

Answer:

If the numbers next to the "x" are "carroted" ( ^ ) then the answer is

-3x^4 + 9x^3 -8x^2 -2x +12

Step-by-step explanation:

Basically, you just add the like terms together.

70.. not pretty sure tho

Answer:

B: 170

Step-by-step explanation:

Answer: The length is 0

Step-by-step explanation:

Answer: 5/9

Decimal form: 0.555.......

Step-by-step explanation:

Area = length • width

Answer:

mean=2.6

Step-by-step explanation:

1+3+4+4+1=13

13 divided by 5=2.6

Answer:mean= 2.6=13/5

Step-by-step explanation:

mean=sum of all values/number of values

so,

mean=(1+3+4+4+1)/5

mean=13/5=2.6

Answer: 4/16 or 1/4 (simplified)

Answer:

1/4

Step-by-step explanation:

put # of green over total # of marbles in bag

4/16 and simplify by dividing both by 4

1/4

Answer:

D. 1, 1, 2

Step-by-step explanation:

A triangles sides have to have the two smallest side's sum add up to be greater than the largest number. In D, 1+1 = 2, and 2 is the largest number, since 2 is not greater than 2, It cannot be a triangle.

Answer:

y=7, -3, 3, -9, 1 (in the empty boxes from left to right)

Step-by-step explanation:

Since y=x-2, all you have to do is take an x value from the top box and subtract 2 from that number to find the value of y.

Answer:

$50

Step-by-step explanation:

Given data

Let the total purchase be x

Hence 30% of x is $15

Let us find the value of x

30/100*x= 15

0.3*x=15

0.3x=15

x= 15/0.3

x= $50

Hence the purchase is $50

Answer:

$50 is the total

Step-by-step explanation:

30% over 100% =  15 over x

then you cross multiply and get:

30x = 1500

you then divide both sides by 30

30 and 30 cross out

1500 ÷ 30 = $50

Answer:

Step-by-step explanation:

Cost per day = 40

Cleaning fee = 60

Budget = 275

Total cost for one day = 100

The family can stay two whole days

Answer:

2)

Step-by-step explanation:

plug in a random number for x i used 2. So y=2^x+14x-3 which equals 29 and 1)=253 2)=29 3)=207 4)=35

Answer:

B

Step-by-step explanation:

2x^2 + 14x + 12 = 0

x^2 + 7x + 6 = 0

( x + 1 )( x + 6 ) = 0 ==》 x = - 1 Or x = - 6

Answer:

14 inches

Step-by-step explanation:

She measures along the outer edge of the crust from one piece and finds it to be 5.5 inches.

We need to find the diameter of the pizza. A pizza is divided into 8 equal parts.

The circumference of one part = [tex]\dfrac{2\pi r}{8}=\dfrac{\pi r}{4}[/tex]

So,

[tex]\dfrac{\pi r}{4}=5.5\\\\2r=D=14\ inch[/tex]

So, the diameter of the pizza is 14 inches.

Answer:

The average speed between the times given is 12 m/s

Step-by-step explanation:

Here, we want to calculate rate of change between the times given

Mathematically , we can get the average rate of change using the formula

f(b)-f(a)/b-a

in this case, b = 10 s and a = 5 s

f(b) is d(10) = 0.8(10)^2 = 80

f(a) is d(5) = 0.8(5)^2 = 20

Rate of change is thus;

(80-20)/(10-5) = 60/5 = 12 m/s

Answer:

NO

Step-by-step explanation:

A statistical question is a question that can be answered by collecting data that vary. For example, “How old am I?” is not a statistical question, but “How old are the students in my school?” is a statistical question.

Answer:

C. since 8, 15, 17 are pythagorean triples

Answer:

484feet

Step-by-step explanation:

If the height as a function of time could be modeled by the function h(t)=−16t^2 +16t+480, where t is the time in seconds and h is the height in feet.

The maximum height of Jason occurs when dh/dt = 0 (velocity is zero)

dh/dt = -32t + 16

0 = -32t + 16

32t = 16

t = 16/32

t = 1/2

t = 0.5secs

Get the maximum height

Recall that h(t)=−16t^2 +16t+480

Substitute t = 0.5

h(0.5)=−16(0.5)^2 +16(0.5)+480

h(0.5) = -4 + 8 + 480

h(0.5) = 4 + 480

h(0.5) = 484

Hence the maximum height reached by Jason is 484feet

The maximum height that Jason reaches is h =  484 feet and it will be reached at t = 0.5 sec.

Let the function be denoted by [tex]y = f(x)[/tex]

If it is twice differentiable, then, firstly, we differentiate it with respect to x and equate with 0 to find the critical values.

Let the obtained critical values be [tex]x_1, x_2, ... x_n[/tex]

The second derivative of that function is then evaluated on those critical values.

The [tex]i^{th}[/tex] critical value has got the maximum if [tex]f''(x_i) < 0[/tex]

That means, if at  [tex]x = x_i[/tex] , we get

[tex]f'(x-i) = 0\\and\\f''(x_i) < 0[/tex]

Then that point is where function will have maximum.
If [tex]f''(x_i) > 0[/tex], then the point where the function will have minimum

If value of second rate at point [tex]x_i[/tex] is 0, then we go for third rate of function and check the same facts so on for upper rate(if they exist).

For the given case, we're given the height function as:

[tex]h(t) = - 16t^2 + 16t + 480[/tex]

The function is infinitely differentiable as its polynomial(by a theorem).

Its first and second rate with respect to 't', we get;

[tex]h(t) = - 16t^2 + 16t + 480\\h'(t) = -32t + 16\\h''(t) = -32 < 0[/tex]

Thus, all critical points will be maximum points.

The critical points are evaluated by [tex]h'(t) = 0[/tex]

They are calculated as:

[tex]h'(t) = 0\\-32t + 16 = 0\\t = 0.5 \: \rm sec[/tex]

The height at t = 0.5 s is evaluated as:

[tex]h(0.5) = - 16(0.5)^2 + 16(0.5) + 480 = 484 \: \rm feet[/tex]

Thus, at time 0.5, the height function will be at its maximum value(484 feet). That means, the height of Jason will be maximum when time will be 0.5 seconds from initial time.

Learn more about maximum and minimum values here:

https://brainly.com/question/13333267

Answer:

720

Step-by-step explanation:

Potato has 6 letters

6!/2!×2!

6×5×4×3×2/2×2

Answer:

x = 17

I think this is the value for x

Answer:

B: (-2,-8)

Step-by-step explanation:

(-2,-8) works because (-2-5)^2 + (-8+11)^2 = 49 + 9 = 58

Answer:

x=3/2 or x=6

Step-by-step explanation:

2x2−15x+18=0

Step 1: Factor left side of equation.

2x^2-12x-3x+18=0

taking common factors

2x(x-6)-3(x-6)=0

(2x−3)(x−6)=0

Step 2: Set factors equal to 0.

2x−3=0 or x−6=0

x=3/2 or x=6

Answer:

44

Step-by-step explanation:

sum of two interior angle is equal to the exterior angle

: . 14 +30 = 44

Answer:

the answer is d

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Step-by-step explanation:

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