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Viefleur [7K]
3 years ago
15

Let h(x) = 3x – 7. If h(x) = 0, find x.

Mathematics
2 answers:
vekshin13 years ago
4 0

\text{Plug in 0 to h(x) and solve:}\\\\0=3x-7\\\\\text{Add 7 to both sides}\\\\7=3x\\\\\text{Divide both sides by 3}\\\\\frac{7}{3}=x\\\\\boxed{\frac{7}{3}=x}

Genrish500 [490]3 years ago
3 0

h(x)=3x-7

And we are given that h(x)=0 and want to find the value of x. Set h(x) to 0 and we get the equation:

3x-7=0

Add both sides by 7

3x=7

Divide both sides by 3

x=\dfrac{7}{3}

This is the answer (as an improper fraction). Let me know if you need any clarifications, thanks!

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How can i write a decimal whose value is greater then five tenths
IrinaK [193]

Answer: Write something greater than 5 at the ones place or the tenths place or having digits that are greater than 0 after the 5 in the tenths place.

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
Completing the sqaure <br> x^2+14x+34
DiKsa [7]

Answer:

-7-√15

Step-by-step explanation:

First move the constant to the right hand side and change it's sign

x^2+14x=-34

Then add (14/2)^2 or 7^2 to both sides

x^2+14x+49=-34+49

Then factor the expression

(x+7)^2=-34+49

Then solve (x+7)^2=15

You should get:

x=-√15-7

or

x=√15-7

7 0
3 years ago
write an equation in slope intercept form of a line that passes through the point (14,8) and is (a) parallel (b) perpendicular t
LenKa [72]

Slope-intercept form:

y = mx + b       "m" is the slope, "b" is the y-intercept (the y value when x = 0)


First find the slope of the line that passes through (4,9) and (-3,6).

Use the slope formula and plug in the two points:

m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}

m=\frac{6-9}{-3-4}

m=\frac{-3}{-7} =\frac{3}{7}



A.) For lines to be parallel, their slopes have to be the same.

Since the given line's slope is 3/7, the parallel line's slope is also 3/7


y = 3/7x + b    To find "b", plug in the point (14,8) into the equation

8 = 3/7(14) + b

8 = 42/7 + b

8 = 6 + b    Subtract 6 on both sides

2 = b


y=\frac{3}{7}x+2



B.) For lines to be perpendicular, their slopes have to be the opposite/negative reciprocal (flipped sign and number)

For example:

slope is 3

perpendicular line's slope is -1/3

slope is -2/3

perpendicular line's slope is 3/2


Since the given line's slope is 3/7, the perpendicular line's slope is -7/3

y = -7/3x + b    Plug in (14, 8) to find "b"

8 = -7/3(14) + b

8 = -98/3 + b   Add 98/3 on both sides

8 + 98/3 = b       Make the denominators the same

24/3 + 98/3 = b

122/3 = b


y=-\frac{7}{3}x+\frac{122}{3}

7 0
3 years ago
A Cashier has fifteen $5 bills . How Much does he have in $5 bills
Mila [183]
Lets make a known and an unknown chart:

KNOWN: Fifteen $5 bills.

UNKNOWN: How much is that?

So to find the answer to this, we are going to do 5+5+5+5+5+5+5+5+5+5+5+5+5+5+5=??
The answer is $75.
~Hope I helped!~
4 0
3 years ago
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kogti [31]

Answer:

3x^3-18x^2+26x-8

Step-by-step explanation:

(x-4)(3x^2-6x+2)

3x^3-6x^2+2x-12x^2+24x-8

3x^3-18x^2+26x-8

5 0
3 years ago
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