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Vedmedyk [2.9K]
2 years ago
5

If f(x)=4x-2 and g(x)=-8x+7, find h(x)=f(x) - g(x)

Mathematics
1 answer:
user100 [1]2 years ago
3 0

Answer:

h(x)=12x-9

Step-by-step explanation:

We are given the two functions:

f(x)=4x-2\text{ and } g(x)=-8x+7

And we want to find:

h(x)=f(x)-g(x)

So, by substitution:

h(x)=(4x-2)-(-8x+7)

Simplify. Distribute:

h(x)=(4x-2)+(8x-7)

Rearrange:

h(x)=(4x+8x)+(-2-7)

Combine like terms. Hence:

h(x)=12x-9

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Solve in(5x+7)=8 round to the nearest thousandth
Ivan

Answer:

x=\frac{1}{5}

x=0.2

Step-by-step explanation:

(5x+7)=8

5x+7=8

Subtract 7 from both sides.

5x+7-7=8-7

Simplify.

5x=1

Divide both sides by 5.

\frac{5x}{5} =\frac{1}{5}

Simplify.

x=\frac{1}{5}

Decimal form:

0.2

7 0
3 years ago
Read 2 more answers
Given $dc = 7$, $cb = 8$, $ab = \frac{1}{4}ad$, and $ed = \frac{4}{5}ad$, find $fc$. Express your answer as a decimal.
Pachacha [2.7K]

A ↔ B ↔ C ↔ D ↔ E ↔ F

 \frac{1}{4} AD      8      7      \frac{4}{5} AD   ???

AB + BC + CD = AD   <em>segment addition postulate</em>

\frac{1}{4} AD   +   8   +   7   = AD

\frac{1}{4} AD   +       15        = AD

AD         + 60    = 4AD

                  60    = 3AD

                  20    = AD

AB =  \frac{1}{4} AD    =  \frac{1}{4}(20)    = 5

DE =  \frac{4}{5}AD   =  \frac{4}{5}(5)    = 4

CD + DE + EF = CF   <em>segment addition postulate</em>

7   +   4   + EF  = CF

     11        + EF  = CF

Answer: 11 + EF

Note: You did not provide any info about EF.  If you have additional information that you did not type in, calculate EF and add it to 11 to find the length of CF.

7 0
3 years ago
Read 2 more answers
Una superficie mide 400 cm de largo y 360 cm de ancho. Se quiere dividir en cuadrados que tengan la mayor área posible y que la
victus00 [196]

Answer:

https://scuolaelettrica.it/correttore/spagnolo/manutenzione/risolutore/risolti/risoltirettangolo.php

Step-by-step explanation:

here use this

5 0
2 years ago
Evaluate 0 × |-6|. ......
kupik [55]

Answer:

0

Step-by-step explanation:

Any value multiplied by zero equals zero , thus

0 × | - 6 | = 0

6 0
2 years ago
HELPPPPPPPPPPPPPPPPPPPP
Gnesinka [82]
A.
the y intercept is where x=0
x represents the number of months
when the number of months is 0, that is the initial number of games won

that looks to be a little below y=2, so maybe y=1.8?
the y intercept is y≈1.8
it represents the number of games won with 0 months of practice



B.
we can use y=mx+b
m=slope
b=y intercept
we know the y intercept
find the slope
slope=rise/run
the I'm going from x=0 to x=10
the rise is about 18.95 (from 1.8 to 20.75)
the run is 10
so slope would be 18.95/10=1.895

the equation would be y=1.895x+1.8
the points were (0,1.8) and (10,20.75)
6 0
3 years ago
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