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3 years ago

Let f(x)=-2x-7 and g(x)=-4x+6 find (g o f )(-5)

1 answer:

3 0

Easy

(g o f)(-5)=g(f(-5))

first evaluate f(-5), then input the result into g(x)

f(-5)=-2(-5)-7
f(-5)=10-7
f(-5)=3

g(3)=-4(3)+6
g(3)=-12+6
g(3)=-6

(g o f)(-5)=-6

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The sum of 5 times one number, x, and 4 times a second number, y, is 75. If the sum of the two numbers is 18, find the two numbe

satela [25.4K]

Answer: $x=3$ and $y=15$

Step-by-step explanation:

First, we are told "sum of 5 times one number, x, and 4 times a second number, y, is 75":

$5x+4y=75$ (1)

Then, we are told "he sum of the two numbers is 18":

$x+y=18$ (2)

At this point we have our system of equations and now we are able to find the values of $x$ and $y$ .

So, let's begin by isolating $x$ from (2):

$x=18-y$ (3)

Substituting (3) in (1):

$5(18-y)+4y=75$ (4)

Finding $y$ :

$90-5y+4y=75$

$y=15$ (5) This is the value of $y$

Substituting (5) in (1):

$5x+4(15)=75$ (6)

Finding $y$ :

$5x+60=75$ (7)

$x=3$ (8) This is the value of $x$

4 0

3 years ago

If r is ten more than the square root of l , then r = A) l2 + 10 B) (l + 10)2 C) l + 10 D) l + 10 E) l + 10

stiv31 [10]

Answer:

$r=\sqrt {I}+10$

Step-by-step explanation:

We first need to know the square root of I then add 10 on that square root since r is 10 more than the square root of I

Therefore,

$r=\sqrt {I}+10$

4 0

3 years ago

If you answer both I will give Brainliest they have to be correct.Good luck

svetlana [45]

Answer:

Step-by-step explanation:

6 0

2 years ago

Read 2 more answers

1.7% as a fraction in simplest form

Sophie [7]

Answer:

$\sf1.7\% \\ = \sf \frac{1.7}{100} \\ = \boxed{ \bold{ \red{\frac{17}{1000} }}}$

Hope it helps!!

4 0

2 years ago

What is the radius of a sphere if its surface area is 2,122.64 square inches? (Use 3.14 for π.) 11 in. 13 in. 121 in. 169 in.

crimeas [40]

To solve this, we are going to use the surface are of a sphere formula: $A=4 \pi r^2$
where
$A$ is the surface area of the sphere
$r$ is the radius of the sphere

We know for our problem that $A=2122.64$ and $\pi =3.14$ , so lets replace those vales in our formula:
$A=4 \pi r^2$
$2122.64=4(3.14)r^2$
$2122.64=12.56r^2$
Now, we just need to solve our equation for $r$ :
$\frac{2122.64}{12.56} =r^2$
$r^2=\frac{2122.64}{12.56}$
$r^2=169$
$r=+or- \sqrt{169}$
$r=13$ or $r=13$
Since the radius of a sphere cannot be a negative number, $r=13$ .

We can conclude that the radius of a sphere with surface area <span>2,122.64 </span> $in^2$ is 13 in.

3 0

2 years ago