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Julli [10]
3 years ago
10

What is and how do you do it? H(x) = 4x-2 G(x) = x^2 -5 Find h(x) + g(x)

Mathematics
1 answer:
sineoko [7]3 years ago
6 0

h(x)=4x-2\\\\(x)=x^2-5\\\\h(x)+g(x)=(4x-2)+(x^2-5)=x^2+4x+(-2-5)\\\\=x^2+4x-7

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How do you solve the three forms: Slope Y-intercept form Standard Form Point slope form
Nostrana [21]

Answer:An equation in the slope-intercept form is written as

y=mx+b

Where m is the slope of the line and b is the y-intercept. You can use this equation to write an equation if you know the slope and the y-intercept.

Example

Find the equation of the line

Choose two points that are on the line

Calculate the slope between the two points

m=y2−y1x2−x1=(−1)−33−(−3)=−46=−23

We can find the b-value, the y-intercept, by looking at the graph

picture28

b = 1

We've got a value for m and a value for b. This gives us the linear function

y=−23x+1

In many cases the value of b is not as easily read. In those cases, or if you're uncertain whether the line actually crosses the y-axis in this particular point you can calculate b by solving the equation for b and then substituting x and y with one of your two points.

We can use the example above to illustrate this. We've got the two points (-3, 3) and (3, -1). From these two points we calculated the slope

m=−23

This gives us the equation

y=−23x+b

From this we can solve the equation for b

b=y+23x

And if we put in the values from our first point (-3, 3) we get

b=3+23⋅(−3)=3+(−2)=1

If we put in this value for b in the equation we get

y=−23x+1

which is the same equation as we got when we read the y-intercept from the graph.

To summarize how to write a linear equation using the slope-interception form you

Identify the slope, m. This can be done by calculating the slope between two known points of the line using the slope formula.

Find the y-intercept. This can be done by substituting the slope and the coordinates of a point (x, y) on the line in the slope-intercept formula and then solve for b.

Once you've got both m and b you can just put them in the equation at their respective position.

4 0
3 years ago
PLEASE HELP ME! Find the cube roots of 125(cos 288° + i sin 288°).
shutvik [7]
◆ COMPLEX NUMBERS ◆

125 ( cos 288 + i sin 288 )  can be written as -

125.e^i( 288) 
125.e^i( 288 +360 ) 
125.e^i( 288+ 720)

[ As , multiples of 360 can be added to an angle without changing any trigonometric functions or sign ]

To find the cube root , take the cube root of above 3 expressions ,

We get -
5 e^( i 96 ) 
5 e^( i 216 )  
5 e^( i 336 )

Now using Euler's formula , We rewrite above as -

5 ( cos 96 + i sin 96 ) 
5(c os 216 + i sin 216 ) 
5 ( cos 336 + i sin 336 ) Ans.
6 0
3 years ago
The Nike store is having a SALE!!! A toddler suit with an original cost of $54 is marked down to $22.95. How much is the discoun
pishuonlain [190]

Answer:

The Discount Percent is 57.50% and the Discount Amount is $31.05

Step-by-step explanation:

To find the discount percent you use the formula D = (L - S) / L x 100. To find the discount amount you take the <u>inital list price</u> and subtract it from the <u>sale price</u>.

4 0
3 years ago
What is the value of x in the equation 2 (x 3) = 4 (x minus 1)? 1 2 3 5.
nordsb [41]

Answer:

-2

Step-by-step explanation:

8 0
2 years ago
Work on Screenshot i got this one wrong when i first tried it
adell [148]
The answer to your question is 30
3 0
2 years ago
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