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2 years ago

Graph the system of equations on your graph paper to answer the question.

Mathematics

1 answer:

ddd [48]2 years ago

8 0

Answer:

The solution of the two give equations is (-1,4)

Step-by-step explanation:

i) First equation is y = -x + 3

ii) Second equation is y = x + 5

iii) If we add the two equations we get 2y = 8 ∴ y = 4

iv) Substituting the value of y obtained in iii) in equation i) we get

4 = -x + 3 ∴ -x = 4 - 3 ∴ -x = 1 ∴ x = -1

v) substituting x = -1 and y = 4 in the second equation we see that the equation is satisfied.

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Fabio and Gwen are saving money to buy a new gaming station. They need at least $510 to purchase the new gaming station. Gwen we

Phoenix [80]

<u>Answer-</u>

Set of constraints to model the problem are,

$12x+9y\geq 510$

$y \leq 2x$

$y \geq 25$

<u>Solution-</u>

<em>x = the number of lawns weeded by Gwen,</em>

<em>y = the number of dogs walked by Fabio.</em>

As, Gwen charges $12 each time she weeds a yard and Fabio charges $9 each time he walks a dog,

$\text{Earnings of Gwen} = 12x$

$\text{Earnings of Fabio} = 9y$

$\text{Total earning} = 12x+9y$

They need at least $510 to purchase the new gaming station, means they need $510 or more than $510.

The equation for this is,

$12x+9y\geq 510$

The number of dog walks that Fabio has scheduled is no more than twice the number of yards Gwen has scheduled to weed, means

y must be less than or equal to 2x.

The equation for this is,

$y \leq 2x$

Fabio will walk at least 25 dogs, means y must be greater than of equal to 25.

The equation for this is,

$y \geq 25$

8 0

2 years ago

Read 2 more answers

Anna11 [10]

Answer: -104

Explanation: x=-9 y=2
2(y-3xy)
=2(2-3(-9)(2))
=4-2(3(-18))
=4-108
=-104

Hope it helped

4 0

1 year ago

One of the legs of a right triangle measures 12 cm and the other leg measures 9 cm.

PolarNik [594]

Answer:

15cm

Step-by-step explanation:

a^2+b^2=c^2

12^2+9^2=c^2

144+81=c^2

c^2=225

c=15

7 0

2 years ago

Read 2 more answers

PLEASE HELP!!!!!!!!!!!!

bixtya [17]

Answer: Numbers of servings: 10 and 13, Liters of punch: 14

Step-by-step explanation:

Number of servings - 6 = Liters of punch.

4 0

2 years ago

Find the value of X

olchik [2.2K]

<h3>Answer: 112</h3>

=========================================================

Explanation:

The angle adjacent to the 146 degree angle is 180-146 = 34 degrees.

In other words, the angles 34 and 146 combine to 180. These angles are supplementary.

The tickmarks on this triangle tell us it is isosceles. The angles opposite the congruent sides are congruent angles. So the unmarked interior angles (not marked x) are 34 degrees each.

Now use the fact that any triangle has its interior angles always add to 180

x+34+34 = 180

x+68 = 180

x = 180-68

x = 112

5 0

2 years ago