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astraxan [27]
3 years ago
10

4x+5=45 (Show work to get brainliest) A) 5 B) 10 C) 15 D) 20

Mathematics
2 answers:
solmaris [256]3 years ago
6 0

Answer: x = 10

Step-by-step explanation: To solve for <em>x</em> in the equation you see here, our goal is to get <em>x</em> by itself on one side of the equation.

Our first step will be to isolate the term containing <em>x</em> which in this case is 4x. To isolate 4x, we have to get rid of the +5 by subtracting 5 from both sides of the equation.

On the left, +5 -5 cancels and we're left with 4x. On the right, 45 - 5 simplifies to 5.

So our equation now reads 4x = 40.

To get <em>x</em> by itself since it's being multiplied by 4, we just divide both sides of the equation by 4. On the left, the 4's cancel and we're left with <em>x</em>. On the right, 40/4 simplifies to 10 so our answer is <em>x = 10</em>.

jasenka [17]3 years ago
3 0

Answer:

B) 10

Step-by-step explanation:

4x+5=45

     -5   -5

4x=40

/4    /4

x=10

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Help me with these 3 and explain too thank you :))
xz_007 [3.2K]

Answer:

1) 25

2) 2

3) f(g(1)) = 42

Step-by-step explanation:

1) Given that f(x) = 4x^2  + 9

If x = -2

f(-2) = 4(-2)^2 + 9

f(-2) = 4(4) + 9

f(-2) = 16 + 9

f(-2) = 25

2) Given that f(x) = 4x - 6

y = 4x - 6

Replace y  with x

x = 4y - 6

MAke y the subject of the forfmula

4y = x+ 6

y = (x+6)/4

SInce x = 2

f^(-1)(2) = (2+6)/4

f^(-1)(2) = 8/4 = 2

3) If f(x) = 6x and g(x) = x+6

f(g(x)) = f(x+6)

f(x+6) = 6(x+6)

Since x = 1

f(g(1)) = 6(1+6)

f(g(1)) = 6(7)

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5 0
3 years ago
Determine the equation of each line with the following properties:
iris [78.8K]

Answer:

a) y =2/3 x + 7.

b) x = -1

c) y = -4/5 x - 1/5

d) y = -3/2 x + 5/2.

Step-by-step explanation:

a) Intercept form y = mx + b where m = 2/3 and  b = 7

b) y can take any value but x is always -1.

c) Slope m = (-1-3)/ (1 - -4)

= -4/5

Using point-slope form where m = -4/5 and x1 y1 = 1 , -1:

y - y1 = m(x - x1)

y - -1 = -4/5(x - 1)

y + 1 = -4/5x + 4/5

y = -4/5 x - 1/5

d)  The slope m of the line perpendicular to this line is:

-1 / 2/3

m = -3/2.

When x = -1 , y = 4 so using the slope intercept form of a line

y = mx + b

4 = -3/2 * -1 + b  where b = the y-intercept.

4 = 3/2 + b

b = 4 - 3/2 = 5/2.

The equation is  y = -3/2 x + 5/2.

3 0
3 years ago
Find the value of x so that the shaded region is a gnomon to the white rectangle.
RUDIKE [14]

Based on the shaded region, the value of x which makes this region a gnomon is x = 1.

<h3>What is value of x?</h3>

Based on the dimensions of the side that isn't shaded, and the dimensions of the side that is shaded, the value of x can be found as:

3/ 6 = (1 + 3) / (x + 6 + x)

1/2 =  4 / (6 + 2x)

6 + 2x = 4 / (1/2)

2x = 8 - 6

x = 2/2

x = 1

Find out more on shaded regions at brainly.com/question/9767762.

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1 year ago
Answer please #1-4 !!!!!!
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Answer: I can't see the image

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pantera1 [17]

Answer:

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