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Varvara68 [4.7K]
3 years ago
5

The line that is parallel to the x-axis passes through the point (4,12) has the equation

Mathematics
1 answer:
Solnce55 [7]3 years ago
6 0

Answer:

C

Step-by-step explanation:

The equation of a horizontal line parallel to the x- axis is

y = c

where c is the value of the y- coordinates the line passes through.

The line passes through (4, 12) with y- coordinate 12, thus

y = 12 → C

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Answer:

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2 years ago
Write a quadratic function for each graph described.
user100 [1]

Answer:

y=2x^2-\frac{4}{3}x-\frac{10}{3}

Step-by-step explanation:

we know that

The roots of the quadratic function (x-intercepts) are

x=-1 and x=5/3

so

we can write the equation of the parabola as

y=a(x+1)(x-\frac{5}{3})

where

a is a coefficient

Remember that

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substitute the value of x and the value of y of the ordered pair in the quadratic equation and solve for a

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40=a(5+1)(5-\frac{5}{3})

40=a(6)(\frac{10}{3})

40=20a\\a=2

substitute

y=2(x+1)(x-\frac{5}{3})

apply distributive property

y=2(x^2-\frac{5}{3}x+x-\frac{5}{3})\\\\y=2(x^2-\frac{2}{3}x-\frac{5}{3})\\\\y=2x^2-\frac{4}{3}x-\frac{10}{3}

see the attached figure to better understand the problem

6 0
3 years ago
A girl is 18 years old and her brother is a third of her age. When the girl is 36 what would be the age of the brother?
ale4655 [162]
First we need to calculate how many years her brother has when she is 18. As text says he is:
18/3 = 6 years old

Now when she gains another 18 years (36-18=18) he will also gain those 18 years

When she is 36 he will have 6+18=24 years old

Answer is 24.
8 0
4 years ago
Read 2 more answers
WW and Intervention I circular garden has a g radius of i .5 feet. He wants to enclose the 2 garden with edging that costs per f
sattari [20]
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6 0
4 years ago
Mr.Anderson paid $19.18 for a CD cover. This amount includes a tax of 8.5%. What was the cost of the CD cover before tax ?
MrRa [10]
X * 1.085 = 19.18
solve for x

Why is this how you figure it out? well... you have the price of the CD cover and the total is the price of the CD cover with tax. 

Price of the CD cover would be: x * 1 = price of cd cover
Put that tax on there: x * 1.085 = price of cd cover with tax

why .085? move that decimal over two places to the left from the 8.5%
3 0
3 years ago
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