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3 years ago

If f(x) = 3x + 10 and g(x) = 2x - 4, find (f+ g)(x).

Mathematics

1 answer:

ad-work [718]3 years ago

7 0

Answer:

5x+6

Step-by-step explanation:

f(x) = 3x + 10

g(x) = 2x - 4

(f+ g)(x)= 3x + 10 + 2x - 4

Combine like terms

= 5x+6

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Daniel created an intersection with his race track. One of the angles at the intersection is 55°. What are the three other angle

melomori [17]

Answer:

55, 125 and 125

Step-by-step explanation:

In this question, we are asked to find the other 3 angles in an intersection.

Please check attachment for what the diagram of the intersection might look like.

The intersection consists simply of 4 angles meeting at a point with the 2 angles on each side vertically opposite to the angles on the other side.

since one of the angles is 55, and we are having a straight line, the other angle would be 180-55 = 125.[ sum of angles on a straight line is 180]

These two angles are vertically opposite, this means that the other three angles are 55,125 and 125.

3 0

3 years ago

the 90 members of a service Club had the opportunity to vote for a club officers on Tuesday or Wednesday 3/5 of the members vote

oee [108]

For this problem, it is really important to find who voted on Tuesday first.
90×(3/5)= 54
54 people voted on Tuesday. Since the people who voted on Wednesday was 1/4 of the members who did not vote on Tuesday.
90-54=36×(1/4)=9
9 people voted on Wednesday. Now add Tuesday and Wednesday together to find the ones that didn't vote.
54+9=63;90-63=27
27 people did not vote at all.

6 0

2 years ago

Read 2 more answers

Find the distance from P to l.

ki77a [65]

$Equation\ of\ a\ line\ from\ 2\ points (x_1;\ y_1);\ (x_2;\ y_2):\\\\y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)\\\\(-4;\ 2)\ and\ (3;-5)\\subtitute:\\\\y-2=\dfrac{-5-2}{3-(-4)}\cdot(x-(-4))\\\\y-2=\dfrac{-7}{7}\cdot(x+4)\\\\y-2=-(x+4)\\\\y-2=-x-4\ \ \ |add\ x\ and\ 4\ to\ both\ sides\\\\x+y+2=0\\-------------------\\$

$Point-line\ distance\\l:Ax+By+C=0;\ (x_0;\ y_0)\\\\d=\dfrac{|Ax_0+By_0+C|}{\sqrt{A^2+B^2}}\\\\x+y+2=0\to A=1;\ B=1;\ C=2\\(1;\ 2)\to x_0=1;\ y_0=2\\subtitute\\\\d=\dfrac{|1\cdot1+1\cdot2+2|}{\sqrt{1^2+1^2}}=\dfrac{|1+2+2|}{\sqrt2}=\dfrac{|5|}{\sqrt2}=\dfrac{5}{\sqrt2}=\dfrac{5\cdot\sqrt2}{\sqrt2\cdot\sqrt2}\\\\=\boxed{\dfrac{5\sqrt2}{2}}$

4 0

3 years ago

A hot-air balloon is released at ground level, and it rises into the air at a constant rate. After 5 seconds the height of the b

mr_godi [17]

The constant rate = 20 ft / 5 seconds = 4 feet per second

Find the chart that shows an increase of 4 feet for every second the balloon travels.

3 0

2 years ago

X is number of 1$ bills 1/2x =20

SOVA2 [1]

If your trying to solve for x it’s 40, x=40
2 times 1/2x =2x20
x=2x20
x=40

4 0

3 years ago