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2 years ago

Solve the system of equations: y = 3x y=x2-4

Mathematics

2 answers:

Evgesh-ka [11]2 years ago

8 0

Answer:

y=12 x=4

Step-by-step explanation:

I will be using the elimination method to solve this

*2 y= 3x

*3 y= 2x-4.

2y= 6x

- 3y= 6x-12

-1y= -12. y= 3x

/-1 /-1. 12= 3x

y=12. /3 /3

4=x

Lubov Fominskaja [6]2 years ago

3 0

Answer:

x = -4

y = -12

Step-by-step explanation:

Since y is 3x,

3x = 2x - 4

On solving we get x as -4

Substitute x and we get y as -12

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Help please it’s due hella soon also please leave a small explanation

murzikaleks [220]

1) y=3x-4
When x increases by 1, y increases by 3 so the slope is rise/run → 3
y-int is -4 bc y-value is -4 when x=0

2)y=-3x+4
When x increase by 2, y decreases by 6 so the slope is rise/run → -3
y-int is 4 bc y-value is 4 when x=0

3)y=-1/3x+4
When x increase by 3, y decreases by 1 so the slope is rise/run → -1/3
y-int is 4 bc you now have the equation y=-1/3x+b and u just have to plug in random point from the graph, so ex, 6 into x and 2 into y. You can get 4 as b in the equation.

4)y=1/3x-4
When x increases by 6, y decreases by 2 so the slope is rise/run → 1/3
y-int is -4 bc u do the same thing as 3)
For ex, plug in 6 for x and -2 for y and you can get -4 as the b in the equation.

6 0

2 years ago

Evaluate 12 ÷ 2 × 6.

Murrr4er [49]

Division first
12 over 2 x 6
= 6 x 6
= 36

6 0

2 years ago

Read 2 more answers

PLEASE HELP

igor_vitrenko [27]

Answer:

43 + 3.4 =46.4

Step-by-step explanation:

add it up

6 0

2 years ago

Read 2 more answers

PLEAZZZZZZZZZZ HELP ASAP

stich3 [128]

QUESTION 1

GIVEN:

$long \: base = 3 \times (short \: base)$

$height = (short \: base) - 2$

$area = 30 {in}^{2}$

IMPORTANT EQUATIONS

$trapezoid \: area = \frac{sum \: of \: bases}{2} \times height$

SOLVE:

$30 = \frac{short + long}{2} (short - 2)$
$30 = \frac{(short + 3short)}{2} \times (short - 2)$

$30 = \frac{4short}{2} (short - 2)$

$30 = 2{(short)}^{2} - 4(short)$

${short}^{2} - 2(short) - 15 = 0$

factor:

$(short - 5)(short + 3) = 0$

$short = 3 \: and \: - 5$
Negative five is not a reasonable answer, so we focus on the positive three and say that is the length of the short base.

so, the answers:

$short \: base = 3 \: in$

$long \: base = 3 \times 3 = 9 \: in$

$height = 3 - 2 = 1 \: in$

QUESTION 2

GIVEN
convert 3ft to inches.

$l = 32 + w$

$area = lw = 130 {in}^{2}$
or

$w = \frac{130}{l}$

substitute

$l = 32 + \frac{130}{l}$

solve for l:

${l}^{2} - 32 l- 130 = 0$
QUESTION 3

$x(x + 2) = 80$

solve for X

${x}^{2} + 2x - 80 = 0$
$(x - 10)(x + 8) = 0$

$x = 10 \: and \: - 8$

take the positive value since it's the only one that makes sense in this context.

so the two values are:

$10 \: and \: 8$

8 0

2 years ago

Are similar this triangles

Tanzania [10]

Yes.

Both triangles have sides in the ratios 9 : 11 : 13.

3 0

2 years ago