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borishaifa [10]
1 year ago
8

4. An equation that crosses the y-axis at -5 and crosses the x-axis at -65. An equation that crosses the y-axis at -5 and crosse

s the point (2,3)
Mathematics
1 answer:
Vlad [161]1 year ago
8 0

4.

The points are:

(0,-5)

(-6,0)

Slope is:

m=\frac{y_2-y_1}{x_2-x_1}

Basically change in y's divided by change in x's.

So, we have:

\begin{gathered} m=\frac{y_2-y_1}{x_2-x_1} \\ m=\frac{0--5}{-6-0} \\ m=\frac{5}{-6} \\ m=-\frac{5}{6} \end{gathered}

The y-intercept is -5

The equation of line is y = mx + b

Where m is slope and b is y-intercept.

Thus, we have:

y=-\frac{5}{6}x-5

The graph is:

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4 0
2 years ago
Which situation below has a negative correlation?
Schach [20]

Which situation below has a negative correlation?

The younger the child, the more sleep they need.

<em>*100% CORRECT ANSWERS (SEE ATTACHMENTS)</em>

7 0
3 years ago
A ball is thrown from an initial height of 2 feet with an initial upward velocity of 31 ft/s. The ball's height h (in feet) afte
Vlad1618 [11]

A quadratic equation is in the form of ax²+bx+c. The time at which the height of the ball is 16 feets is 0.717 seconds and 1.221 seconds.

<h3>What is a quadratic equation?</h3>

A quadratic equation is an equation whose leading coefficient is of second degree also the equation has only one unknown while it has 3 unknown numbers. It is written in the form of ax²+bx+c.

The complete question is:

A ball is thrown from an initial height of 2 feet with an initial upward velocity of 31 ft/s. The ball's height h (in feet) after 7 seconds is given by the following, h=2+31t-16t². Find all values of t for which the ball's height is  16 feet. Round your answer(s) to the nearest hundredth.

The time at which the height of the ball is 16 feet can be found by,

h = 2 + 31t - 16t²

16 = 2 + 31t - 16t²

16 - 2 - 31t + 16t² = 0

16t² - 31t + 14 = 0

t = \dfrac{-(-31)\pm \sqrt{(-31)^2-4(16)(14)}}{2(16)}\\\\

t = 0.717 , 1.221

Hence, the time at which the height of the ball is 16 feets is 0.717 seconds and 1.221 seconds.

Learn more about Quadratic Equations:

brainly.com/question/2263981

#SPJ1

4 0
2 years ago
A pencil and a ruler cost $1.50 together. The ruler costs $1.00 more than the pencil. How much does the pencil cost?
Vlad1618 [11]
<span>So we want to know how much does the pencil costs if the ruler costs 1$ more than the pencil and together they cost 1.5$. So lets start with converting dollars into cents. Lets turn this into an equation. Ruler is x and the pencil is y. So together ruler and pencil cost 150cents or: x+y=150 cents. The ruler costs 100 cents more than the pencil, or: (x+100 cents ) + y = 150 cents. So we see that we need to put the values of x=25 cents and y=25 cents to get the ruler to cost 125 cents which is 100 cents or 1$ more than the pencil. So the pencil costs 25 cents. </span>
7 0
3 years ago
The temperature was -5 ℉ in Denver and then fell 8 ℉ by the morning.<br> Answer now please
allochka39001 [22]

Answer:

it was -5 and then it fell 8 degrees

-5 -8 = -13 degrees F

Step-by-step explanation:

8 0
3 years ago
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