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2 years ago

Pls Help!!! 50 points!!! Question in picture

Mathematics

1 answer:

Leya [2.2K]2 years ago

5 0

Answer:

I'm not pretty sure but I think is the second option, B

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Martina creates the graph of function g by applying a transformation to function f.

MrRa [10]

Answer:

B.a vertical shift of 9 units up

Step-by-step explanation:

Given $f(x) = 4x-2\\g(x) = 4x+7$

$g (x) = f (x) + k$

It means shifting $f (x)\ k$ unit vertically.

Now, we will find the value of $k$ for the given function

$g(x) = 4x+7\\\\add\ 2\ and\ subtract\ 2\\\\g(x) = 4x+7+2-2\\g(x) = 4x-2+9\\\\We\ have\ f(x)=4x-2\\\So,\ g(x)=f(x)+9$

$k=9$

Hence, vertical shift of 9 units.

6 0

2 years ago

Read 2 more answers

In 1/8 days, a construction crew built 1/4 miles of a road. What is the unit rate in miles per day.

tigry1 [53]

The unit rate of road construction is 2 miles per day.

Step-by-step explanation:

Given,

In $\frac{1}{8}$ days $\frac{1}{4}$ miles road is constructed.

To find

The rate of road constructed per day

Method

We will apply unitary method to solve it.

Now,

In $\frac{1}{8}$ days $\frac{1}{4}$ miles road is constructed.

In 1 day the road will be constructed = $\frac{1}{4}$ ÷ $\frac{1}{8}$ miles

= 2 miles

4 0

2 years ago

20 points help plz.

Andrews [41]

This area is equal to the sum of a circle with a radius of 5/2 in and a rectangle 5 by 15 in so:

A=πr^2+xy

A=π(2.5)^2+5*15

A=6.25π+75 in^2

A≈94.63 in^2 (to nearest hundredth) so

A≈95 in^2 (to nearest whole square inch)

8 0

2 years ago

Solve the system of equations -2x+y=5 x-3y=-30

EastWind [94]

-2x+y=5
x-3y=-30 so you can multiply the bottom equation by 2 you'll get 2x-6y=-60

-2x+y=5
2x-6y=-60 And subtract the equations. You'll get -5y=-55 y=11. Plug it in to one of the original equations. -2x+(11)=5
-2x=-6 so x=3

y=11 and x=3

5 0

2 years ago

A person borrows $10,000 and repays the loan at the rate of $2,400 per year. The lender charges interest of 10% per year. Assumi

omeli [17]

Answer:

a) $M(t)=24000-14000e^{t/10}$

b) It takes 5.390 years to pay off the loan.

Step-by-step explanation:

(a) The differential equation for the variation in the amount of the loan M is

$\frac{dM}{dt}=0.1M-2400$

We can express this equation as:

$\frac{dM}{dt}=0.1M-2400\\\\10\int \frac{dM}{M-24000} =\int dt\\\\10ln(M-24000)=t\\\\M-24000=Ce^{t/10}\\\\M=Ce^{t/10}+24000\\\\M(0)=Ce^{0/10}+24000=10000\\\\C+24000=10000\\\\C=-14000\\\\M(t)=24000-14000e^{t/10}$

(b) We can calculate this as M(t)=0

$M(t)=24000-14000e^{t/10}=0\\\\e^{t/10}=24000/14000=1.714\\\\t=10ln(1.714)=10* 0.5390=5.390$

It takes 5.390 years to pay off the loan.

8 0

2 years ago