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3 years ago

Which line will have no solution with the parabola y – x + 2 = x2? y = –3x –3 y = –2x –3 y = 2x –3 y = 3x –3

1 answer:

jeka943 years ago

3 0

Try this option:
the line y=-2x-3.
Explanation:
if to see the pair of equations: y=x²+x-2 and y=-3x-3, ⇔ x²+x-2=-3x-3, ⇔ x²+4x+1=0, D>0, then they have two common points.
if to see the pair of equations: y=x²+x-2 and y=-2x-3, ⇔ x²+3x+1=0, ⇒D>0, then they have two common points.
for y=x²+x-2 and y=2x-3: x²+x+1=0, D<0, it means, that these equations have no common points.
for y=x²+x-2 and y=3x-3: x²-2x+1=0, D=0, it means, that these equations have the only common point.

answer: y=2x-3.

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Martin throws a ball straight up in the air. the equation h(t) = -16t^2 + 40t + 5 gives the height of the ball, in feet, t secon

Lisa [10]

Answer:

2.62 seconds

Step-by-step explanation:

Let

t ----> the time in seconds

h(t) ----> he height of the ball, in feet

we have

$h(t)=-16t^2+40t+5$

we know that

When the ball hits the ground, the height is equal to zero

$-16t^2+40t+5=0$

The formula to solve a quadratic equation of the form

$at^{2} +bt+c=0$

is equal to

$t=\frac{-b\pm\sqrt{b^{2}-4ac}} {2a}$

in this problem we have

$-16t^2+40t+5=0$

$a=-16\\b=40\\c=5$

substitute in the formula

$t=\frac{-40\pm\sqrt{40^{2}-4(-16)(5)}} {2(-16)}$

$t=\frac{-40\pm\sqrt{1,920}} {-32}$

$t=\frac{-40+\sqrt{1,920}} {-32}=-0.12\ sec$

$t=\frac{-40-\sqrt{1,920}} {-32}=2.62\ sec$

therefore

The solution is t=2.62 seconds

4 0

2 years ago

as a contractor to make a hole 4 5/8 inches diameter. express the mixed number as an improper fraction.

san4es73 [151]

The mixed number as an improper fraction is 37/8

<h3>How to express the mixed number as an improper fraction?</h3>

The diameter is give as:

Diameter = 4 5/8

Next we convert the above number to an improper fraction

The numerator is calculated as

Numerator = 8 * 4 + 5

This gives

Numerator = 37

Hence, the mixed number as an improper fraction is 37/8

Read more about fractions at:

brainly.com/question/18734292

#SPJ1

7 0

1 year ago

22. Mona is in her garden jumping on stones (as shown below).

iris [78.8K]

$\large\green{\sf\boxed{Given:-}}$

Mona starts from 68th stone

She jumps 23 stones ahead 

Then she jumps 28 stones back

$\large\red{\sf\boxed{To \:find:-}}$

Her final position=?

$\large{|\underline{\mathtt{\red{S}\blue{o}\orange{l}\pink{u}\blue{t}\purple{i}\green{o}\red{n}\blue{:}\orange{-}}}}$

Add 23 in 68 [Given]

$\begin{gathered}\\ \sf\longmapsto 68+23=91\end{gathered}$

Subtract 28 from 91

$\begin{gathered}\\ \sf\longmapsto 91-28=Her\:final\:position\end{gathered}$

$\begin{gathered}\\ \sf\longmapsto =63\end{gathered}$

To find how much stones she is ahead or back we will Subtract 63 from 68 which was her initial position.

$\begin{gathered}\\ \sf\longmapsto 68-63=5\end{gathered}$

So, Mona will be 5 stones behind from the starting stone.

☯️Hence, Option C is correct

7 0

2 years ago

Which equation below shows a correct first step for solving 3x = -12

Wewaii [24]

The answer is A. You just solve each one and you would find that it would be the same as 3x=-12.

5 0

2 years ago

your friend spends 6+5x minutes lifting weights and 9x+8 minutes running on a treadmill. write a polynomial that represents how

ser-zykov [4K]

(4x + 2) more minutes is spent running on the treadmill than lifting weights

Solution:

Given that,

your friend spends 6+5x minutes lifting weights

9x+8 minutes running on a treadmill

Therefore,

Time spent on lifting weight = 6 + 5x minutes

Time spent on treadmill = 9x + 8 minutes

Write a polynomial that represents how much more time is spent running on the treadmill than lifting weights.

Thus we need to find the difference between time spent on treadmill and time spent on lifting weight

Difference = Time spent on treadmill - Time spent on lifting weight

Difference = 9x + 8 - (6 + 5x)

Difference = 9x + 8 - 6 - 5x = 4x + 2

Thus 4x + 2 more minutes is spent running on the treadmill than lifting weights

7 0

3 years ago