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3 years ago

Evaluate the expression y=7 x=8 x+ 4y

Mathematics

2 answers:

Elena L [17]3 years ago

8 0

Answer:

Step-by-step explanation:

x+4y=8+4(7)=8+28=36

alexira [117]3 years ago

3 0

You just plug in the numbers: 8+4(7)=8+28=36. Hope this helped!

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Suppose that 62 percent of the graduates from your high school go on to four-year colleges, 15 percent go on to two-year college

inn [45]

Answer:

b) .474

Step-by-step explanation:

If 62% go to a four-year college, that means that those who don't represent 38% of the high-school graduates.

You pick up someone who is NOT going to a four-year college (so, he's among the 38%)... what's the chance he's in the 18% of the whole high-school graduates population that found a job?

To calculate that probability, we have to divide 18% by 38%.

P = 18% / 38% = 0.4736, so 0.474

Since we are sure he doesn't go to a four-year college, there's 47.4% of chances he finds a job.

3 0

3 years ago

Given the equation y = 4x - 3.A) If x increases by 1 unit, what is the corresponding change in y? B) If x decreases by 5 units,

DedPeter [7]

Answer:

A) y will increase by 4 unit.

B) y will decrease by 20 units

Step-by-step explanation:

Given equation that shows relation between x and y.

$y=4x-3$

A) If x is increased by 4 units

New value of y = $4(x+1)-3$

$=4x+4-3$

$=4x+1$

So, change in y = new value of y- original value of y

$=4x+1-(4x-3)$

$=4x+1-4x+3$

$=4$

Thus, the value of y will be increased by 4 units.

B) If x is decreased by 5 units

New value of y = $4(x-5)-3$

$=4x-20-3$

$=4x-23$

So, change in y = new value of y- original value of y

$=4x+1-(4x-3)$

$=4x-23-(4x-3)$

$=4x-23-4x+3$

= -20

Thus, the value of y will be decreased by 20 units.

7 0

2 years ago

Which situation can be modeled by the inequality 60−15x≥7?

Pepsi [2]

Answer:

Step-by-step explanation:

To find a situation for 60−15x≥7, look for a story where 60 is a constant value that is decreasing by 15 for a number of times and where equal to or at least 7 is an option.

A. x would be weeks and it would decrease by 7x. This is not it.

B. 15 songs packages would have x be the number of packages not the price. This is not it.

C. This doesn't work either because if you want to owe them less than 7 it would have the sign < not >.

D. You have 60 to spend and you decrease it by $15 for each hat you buy till you save $7. This is it.

8 0

3 years ago

Read 2 more answers

Select one of the factors of x2y3 − 11x2y + 6y2 − 66

EleoNora [17]

We try to factor by maybe grouping
experiment

(x²y³-11x²y)+(6y²-66)
factor
x²y(y²-11)+6(y²-11)
undistribute (y²-11) from each
(x²y+6)(y²-11)
we can force a factor out of the 2nd group in the form of a difference of 2 perfect squares
(x²y+6)(y-√11)(y+√11)
either of those 3 are factors

5 0

3 years ago

Read 2 more answers

The area of the triangle formed by points of intersection of parabola y=a(x−3)(x+2) with the coordinate axes is 10. Find a if it

ICE Princess25 [194]

Answer: a = 4

Step-by-step explanation: Area of a triangle is calculated as: $A_{t}=\frac{b.h}{2}$ .

The triangle formed by the parabola has base (b) equal to the distance between the points where the graph touches x-axis and height (h) is the point where graph touches the y-axis.

The points on the x-axis are the roots of the quadratic equation:

a(x-3)(x+2)=0

(x-3)(x+2)=0

x - 3 = 0

x = 3

x + 2 = 0

x = -2

So, base is the distance between (-2,0) and (3,0).

Since they are in the same coordinate, distance will be:

b = 3 - (-2)

b = 5

Area of the triangle is 10. So constant a is

$10=\frac{5.a}{2}$

5a = 10.2

a = 4

The constant a of the function y = a(x-3)(x+2) is 4.

7 0

2 years ago