Ask question

Ask question

All categories

1 year ago

13

For the two numbers listed find two factors of the first number such that their product is the first number and there sum is the

second number

1 answer:

Ivanshal [37]1 year ago

7 0

Given:

Product of two numbers is 24

Sum of two numbers is -11

-8 and -3 are the two numbers.

You might be interested in

leva [86]

Answer:

h(x) = 3(x - 5)^2 + 6.

Step-by-step explanation:

g(x) = 3x^2 + 8

Shifting 5 units to the right gives:

3(x - 5)^2 + 8

Now 2 units down :

3(x - 5)^2 + 8 - 2

= 3(x - 5)^2 + 6.

5 0

3 years ago

Read 2 more answers

SOLVE THE QUESTION BELOW ASAP

qwelly [4]

Answer:

Part A) The graph in the attached figure (see the explanation)

Part B) 16 feet

Part C) see the explanation

Step-by-step explanation:

Part A) Graph the function

Let

h(t) ----> the height in feet of the ball above the ground

t -----> the time in seconds

we have

$h(t)=-16t^{2}+98$

This is a vertical parabola open downward (the leading coefficient is negative)

The vertex is a maximum

To graph the parabola, find the vertex, the intercepts, and the axis of symmetry

<em>Find the vertex</em>

The function is written in vertex form

so

The vertex is the point (0,98)

Find the y-intercept

The y-intercept is the value of the function when the value of t is equal to zero

For t=0

$h(t)=-16(0)^{2}+98$

$h(0)=98$

The y-intercept is the point (0,98)

Find the t-intercepts

The t-intercepts are the values of t when the value of the function is equal to zero

For h(t)=0

$-16t^{2}+98=0$

$t^{2}=\frac{98}{16}$

square root both sides

$t=\pm\frac{\sqrt{98}}{4}$

$t=\pm7\frac{\sqrt{2}}{4}$

therefore

The t-intercepts are

$(-7\frac{\sqrt{2}}{4},0), (7\frac{\sqrt{2}}{4},0)$

$(-2.475,0), (2.475,0)$

Find the axis of symmetry

The equation of the axis of symmetry in a vertical parabola is equal to the x-coordinate of the vertex

so

$x=0$ ----> the y-axis

To graph the parabola, plot the given points and connect them

we have

The vertex is the point $(0,98)$

The y-intercept is the point $(0,98)$

The t-intercepts are $(-2.475,0), (2.475,0)$

The axis of symmetry is the y-axis

The graph in the attached figure

Part B) How far is the artifact fallen from the time t=0 to time t=1

we know that

For t=0

$h(t)=-16(0)^{2}+98$

$h(0)=98\ ft$

For t=1

$h(t)=-16(1)^{2}+98$

$h(1)=82\ ft$

Find the difference

$98\ ft-82\ ft=16\ ft$

Part C) Does the artifact fall the same distance from time t=1 to time t=2 as it does from the time t=0 to time t=1?

we know that

For t=1

$h(t)=-16(1)^{2}+98$

$h(1)=82\ ft$

For t=2

$h(t)=-16(2)^{2}+98$

$h(2)=34\ ft$

Find the difference

$82\ ft-34\ ft=48\ ft$

so

The artifact fall 48 feet from time t=1 to time t=2 and fall 16 feet from time t=0 to time t=1

therefore

The distance traveled from t=1 to t=2 is greater than the distance traveled from t=0 to t=1

8 0

3 years ago

Is (1, -2) a solution of the graphed inequality?

jeyben [28]

Answer:

No, it is not it is a coordinate point

A graphed inequality x<8 that example

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

Y= -2x + 15<br> y= -2(x-2)2 + 35

barxatty [35]

Answer:

(x, y)=(301 43)

( ---- , ---)

( 29 29)

Step-by-step explanation:

4 0

3 years ago

This is due tomorrow and PLEASE HELP ME ON THESE QUESTIONS! THIS IS DUE TOMORROW!

Usimov [2.4K]

3: multiply the change per minute by how many minutes: 3.1x15=46.5. 5: Is your opinion, I can't tell you how to feel. But a negative times a negative is a positive, so if there is an even number of negatives no matter how many positives there are it will be positive, if there is an odd number of negatives it will be negative. :) Hope this helps!

4 0

3 years ago