All categories

3 years ago

This system has one solution what is the y coordinate of the solution y= -2x+4 y= x^2 +4x+13

1 answer:

8 0

Hello : the system is :
 y= -2x+4 ...(1)
y= x² +4x+13....(2)
x²+4x+13 = -2x+4
x²+6x+9=0
(x+3)² =0
x+3=0
x= -3
subsct in (1) : y=-2(-3)+4 =10

You might be interested in

I need to increase my sales by 35% this month I’m currently at 45 sales how many sales do I need to meet my goal ?

telo118 [61]

Assume that 100% = 45 sales and 35% = X sales amount

You can create a ratio to help you solve for x

45 = 100%
x = 35 %

Which is equal to this fraction: (45/x) = (100/35)

Solving for X by cross multiplying and dividing by 100:
[(45)(35)] / 100 = X = 15.75 = 16 sales (rounded up)

You would need at least 16 sales to increase sales total by 35%

8 0

3 years ago

Read 2 more answers

VERY IMPORTANT... write the equation of the line that has a y intercept of (0.4) and a slope of -3/2

shutvik [7]

Answer:

y = -3/2 x + 4

Step-by-step explanation:

y-4 = -3/2 ( x-0)

y = -3/2 x + 4

7 0

3 years ago

For each of the graphs below choose inequality that best represent the graph. explain your reasoning.

Sveta_85 [38]

The desired inequalities are given as follows:

A. A. x > x + 1. because solving it yields an inequality that is False for all real numbers x.

B. D. x < x + 1, because solving it yields an inequality that is True for all real numbers x.

<h3>Which inequality represents graph A?</h3>

For graph A, as nothing is plotted on the line, we have a inequality with no solution.

The successor of a number(number plus 1), will always be greater than the number, hence the inequality that has no solution is:

A. x > x + 1. because solving it yields an inequality that is False for all real numbers x.

<h3>Which inequality represents graph B?</h3>

For graph B, as the entire line is plotted, we have a inequality with all real values as solution.

From the same logic above, of the successor, the correct option is:

D. x < x + 1, because solving it yields an inequality that is True for all real numbers x.

More can be learned about inequalities at brainly.com/question/25235995

#SPJ1

4 0

2 years ago

Find the slope of the line passing through the points (-5,1) and (2,4).

Leno4ka [110]

Answer:

<h3> $\boxed{ \bold{ \huge{ \boxed{ \sf{ \frac{3}{7} }}}}}$ </h3>

Step-by-step explanation:

Let the points be A and B

A ( -5 , 1 ) ⇒( x₁ , y₁ )

B ( 2 , 4 )⇒( x₂ , y₂ )

Finding the slope of the line passing through these Points

Slope = $\sf{ \frac{y2 - y1}{x2 - x1} }$

plug the values

⇒ $\sf{ \frac{4 - 1}{2 - ( - 5)} }$

We know that $\sf{( - ) \times ( - ) = ( + )}$

⇒ $\sf{ \frac{4 - 1}{2 + 5} }$

Subtract 1 from 4

⇒ $\sf{ \frac{3}{2 + 5} }$

Add the numbers

⇒ $\sf{ \frac{3}{7} }$

Hope I helped!

Best regards!!

7 0

3 years ago

Suppose y varies inversely with x. Write an equation if y=-3 when x=17

vodka [1.7K]

Answer:

y = -51 ÷ x

Step-by-step explanation:

The standard format of a inversely proportional equation goes by the format of y = k ÷ x. The question asks us to write an equation if y = -3 when x = 17 and y varies inversely with x.

So we substitute the values y = -3 and x = 17 in the equation y = k ÷ x

K = constant, we have to work this out

-3 = k ÷ 17

-3 × 17 = k

k = -3 × 17

k = -51

k = -51 So then we put this back into the original y = k ÷ x to find our final equation which is y = -51 ÷ x

6 0

3 years ago