Mathematics, 04.06.2020 19:57, tttyson

Product 48 and sum 14 what are the factors

Answers: 1

Show answers

Answers

answered: o10889084

Step-by-step explanation:

Let's write a system.

Let's say that the variables are x and y.

xy=48

x+y=14

Solve for one of the variables, let's say, x.

x=14-y.

Now substitute x into the 1st equation.

(14-y)y=48

Simplify.

-y²+14y=48

Make it into a quadratic equation.

-y²+14y-48=0

Make sure y²'s coefficient is one. Divide everything by -1

y²-14y+48=0

Now factor!

What factors add up to 14 and multiply to 48.

6 and 8!

Since the 2nd term is negative, and the 3rd term is positive, the factors have to be negative.

y²-6y-8y+48=0

Group.

(y²-6y)+(-8y+48)=0

y(y-6)-8(y-6)=0

(y-8)(y-6)=0

y-8=0

y-6=0

y=8 y=6

now let's substitute each y value into y²-14y+48=0

8²-14(8)+48=0

64-112+48=0

0=0. so y=8 checks out!

6²-14(6)+48=0

36-84+48=0

0=0 so y=6 also checks out!

Choose one y value and solve for x, in each equation :

xy=48

x+y=14

8x=48

x+8=14

x=6

It checks out!

so the factors are

x=6 y=8.

answered: Guest

step-by-step explanation:

i have done this all on a piece of paper but idk how to put it on here cuz it needs to be drawn

answered: Guest

the system of inequity is

$y\leq -x+4$

$3y> x$

step-by-step explanation:

from the given graph it is noticed that we have two related lines. one is solid and another is dashed.

if a line passing through two points, then the equation of line is

$y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)$

the solid line passing through the points (0,4) and (4,0).

$y-4=\frac{0-4}{4-0}(x-0)$

$y=-x+4$

the related equation of solid line is $y=-x+4$ .

similarly, find the related equation of dashed line. the dashed liune passing through the points (0,0) and (3,1).

$y-0=\frac{0-1}{3-0}(x-0)$

$3y=x$

the related equation of dashed line is $3y=x$

from the given graph it is noticed that the point (0,1) lies on the shaded region, therefore the point (0,1) must be satisfied by the related equations.

check the related equations by the point (0,1).

$1=-0+4$

$1=4$

this statement is true if the sign of inequality is < instead of equality. since it is an solid line therefore the sign of inequality will be $\leq$ . the required inequality is

$y\leq -x+4$

similarly, check the second related equation.

$3(1)=0$

it is a dashed line, so this statement is true if the sign of inequality is > . the required inequality is

$3y> x$

15 points write a system of inequalities to represent the shaded portion of the graph

Other questions on the subject: Mathematics

Mathematics, 21.06.2019 15:00, SunsetPrincess

The system of equations graphed below has how many solutions? y = 2x + 2

Answers: 1

continue

Mathematics, 21.06.2019 15:40, sheabenitez305

Jonathan pays $1.90 per pound for potatoes. he buys 8.3 pounds of potatoes. he determines that he will pay $15.77, before tax, for the potatoes. which best describes the reasonableness of jonathan’s solution? jonathan’s answer is reasonable because there are two decimal places in the factors and two in the product. jonathan’s answer is unreasonable because there are three decimal places in the factors and two in the product. jonathan’s answer is reasonable because is 16, and 16 is close to 15.77. jonathan’s answer is unreasonable because is 8, and 8 is not very close to 15.77.

Answers: 1

continue

Mathematics, 21.06.2019 19:00, adam463

Analyze the graph of the cube root function shown on the right to determine the transformations of the parent function. then, determine the values of a, h, and k in the general equation. y=a3x-h+k h= . k= done 000000l o 7 of 8

Answers: 2

continue

Mathematics, 21.06.2019 20:40, selenamr

Formulate the indicated conclusion in nontechnical terms. be sure to address the original claim. the foundation chair for a hospital claims that the mean number of filled overnight beds is over 523, and she is therefore justified starting a funding campaign to add a wing to the hospital. assuming that a hypothesis test has been conducted and that the conclusion is failure to reject the null hypothesis, state the conclusion in nontechnical terms.

Answers: 3

continue

Do you know the correct answer?

Product 48 and sum 14 what are the factors...