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3 years ago

Write an equation of the line below.

Mathematics

1 answer:

gayaneshka [121]3 years ago

6 0

Answer:

y=3/1x -1

Step-by-step explanation:

we are using y=mx+b to find the equation therefore:

1. you must find the slope

the slope is 6/2 but you can simplify it to 3/1

2. you must find the y intercept

the y intercept is where the point is on the y axis which is -1

hope this helps!

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Ramen purchase a box of candy for himself on the way back to the dorm he ate 2/3 of the candy while he was putting away grocerie

Aleksandr [31]

Answer:

12 chocolates

Step-by-step explanation:

Represent the original number of chocolates by c.

Then (1/4)(2/3)c = 2

Solving this for c, we multiply both sides by 4: (2/3)c = 8

and then multiply both sides by (3/2): c = (3/2)(8) = 12

Originally the box contained 12 chocolates.

6 0

3 years ago

2. 90 rock CD's out of 125 CD's.

lidiya [134]

Answer:

72%

Step-by-step explanation:

90/125 is .72

out of 125 CD's there are 72% of rock CD's and 28 of unknown CD's

5 0

3 years ago

Write the following in standard form: Write A = 4 B = 2 C = 7

bonufazy [111]

Answer:

4x + 2y = 7

Step-by-step explanation:

The standard form equation goes as follows: Ax + By = C

We know what A, B, and C is so all we need to do is fill them in.

7 0

3 years ago

Need help please and thank you

viktelen [127]

The answer is B) -x^2-3
This is because you have an exponential graph that is flipped, hence the negative sign, and down 3.

4 0

3 years ago

If GF is a midsegment of CDE, find CD. A. 3.4 B. 6.8 C. 13.6 D. 14

bogdanovich [222]

Answer:

Step-by-step explanation:

Triangle CGF and triangle CED are similar. Hence, the ratio of their corresponding sides are equal. Thus we can write:

$\frac{5x+4}{2x+3}=\frac{CD}{3x+0.8}$

We can now cross multiply and solve for CD:

$\frac{5x+4}{2x+3}=\frac{CD}{3x+0.8}\\(5x+4)(3x+0.8)=(2x+3)(CD)\\15x^2+4x+12x+3.2=(2x+3)(CD)\\15x^2+16x+3.2=(2x+3)(CD)\\CD=\frac{15x^2+16x+3.2}{2x+3}$

Since GF is a midsegment of CDE, CD is double of CF. So we can write:

$CD=2CF\\\frac{15x^2+16x+3.2}{2x+3}=2(3x+0.8)\\\frac{15x^2+16x+3.2}{2x+3}=6x+1.6\\15x^2+16x+3.2=(6x+1.6)(2x+3)\\15x^2+16x+3.2=12x^2+18x+3.2x+4.8\\15x^2+16x+3.2=12x^2+21.2x+4.8\\3x^2-5.2x-1.6=0$

By using quadratic formula $\frac{-b+-\sqrt{b^2-4ac} }{2a}$ and with a=3, b= -5.2, and c= -1.6, we find the value of x to be:

$\frac{5.2+-\sqrt{(-5.2)^2-4(3)(-1.6)} }{2(3)}=2$

Since the expression for CD is $\frac{15x^2+16x+3.2}{2x+3}$ , we plug in $x=2$ into this expression to find value of CD:

$\frac{15(2)^2+16(2)+3.2}{2(2)+3}=13.6$

The correct answer is C

6 0

3 years ago

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