lesson 5 practice problems

The solution to the equation are (2, 9) and (-1, 0)

Given the functions as shown below:

Equating both equations will give;

–x^2 + 4x + 5 = x^2 + 2x + 1

Collect the like terms to have:

–x^2 + 4x + 5 –x^2 - 2x - 1 = 0

-2x^2 + 2x + 4= 0\

2x^2 - 2x - 4  = 0

x^2 - x - 2 =0

Factorize to have:

x^2 - x - 2 =0

x^2 - 2x + x - 2 = 0

x(x-2)+1(x-2) = 0

x = 2 and -1

If x = 2

y = 2^2 + 2(2) + 1

y = 9

If x  = -1

y = (-1)^2 + 2(-1) + 1

y = 1 - 2 + 1

y = 0

Hence the solution to the equation are (2, 9) and (-1, 0)

Learn more on equations here: https://brainly.com/question/16863577

Answer:

Because. I need to keep this balanced. I just bring down 2x I didn't do anything with him 8 minus 8 is 0 bring down my equal sign and 20 minus 8 is 12.

Step-by-step explanation:

can you me as brainliest if its right? i need 10000 points and 35 brainliest's to rank up to genius

Answer:

1. Yes;   2. Yes ;     3. No;       4. Yes

Step-by-step explanation:

The proportion will have to be read the same way.  For example top Δ bottom  to the lower Δ bottom (locate in the same place)

14/21 = 6 /9     Yes  because the top Δ bottom to lower Δ bottom = top side to  

                         lower same side

13.5/21 = 9/ 14   Yes    because the same two sides to the same two sides in

                                     the lower Δ  

9/13.5 = 6 21      No   because top Δ side to lower Δ same location  but the

                                  second one top Δ side to the lower bottom

14 /6 =  21/6      Yes   because top Δ bottom to top side = lower Δ bottom to

                         lower side (in the same place)

Adding this so you can give the other dude the brailyist

The range is the y value of where the dots are located.

Answer: (3,4,5,6)

Answer:

  x = 60 cm

Step-by-step explanation:

If we assume the figures are similar, then corresponding sides are proportional.

  x/36 = 35/21

  x = 36(35/21) = 60 . . . . cm

_____

You can consider the ratios of side lengths. Shortest to longest, they are ...

  7 : 9 : 12 = 21 : 27 : 36 = 35 : 45 : 60

The smaller figure is 3 times the basic ratio; the larger figure is 5 times the basic ratio.

Answer:

614.5

Step-by-step explanation:

Hope this helps!

Answer:

87.9

Step-by-step explanation:

The formula for the area of a circle is pi times r to the power of two, written as πr^2. so we input our values.

πr^2

(3.14)(14^2)

(3.14)(196) ≈ 87.9

Answer:

Step-by-step explanation:

Answer:

volume of sphere is 4000cubic ft..... when

[tex]\pi = 3 \: and \: r = \frac{1}{2} d[/tex]

Answer: domain are the ones that go side to side or the x range is the ones that go up and down or the y

Step-by-step explanation:

Step-by-step explanation:

[tex] \large\tt\underline\blue{a} \underline\pink{n} \underline\green{s} \underline\red{w}\underline \purple{e} \underline\orange{r}[/tex]

A geometric progression is a sequence in which any element after the first is obtained by multiplying the preceding element by a constant called the common ratio which is denoted by r.

Answer:

9139.50

Step-by-step explanation:

since it didn't mention any withdraws from the account or any charges, its just a matter of multiplying 7.75 by 18 and adding it to the original balance.

Answer:

9139.50

Step-by-step explanation:

Answer: the answer is 3.7%

Step-by-step explanation:

We know there’s total 80 glasses and if 3 are broken we can represent it in a fraction which is 3/80

3/80=0.0375

to find percentage take 0.0375 and multiply it by 10 to get 3.7

therefor the answer is 3.7%

Answer:

Option D

Step-by-step explanation:

Expanding option A equations:

8 + (3 * y) = 8 + 3y

(8 + 3) * y = 11y

∴ not equivalent.

Expanding option B equations:

(7 - 3) * y = 4y

7 - (3 * y) =  7 - 3y

∴ not equivalent.

Expanding option C equations:

(6 ÷ y) + 13 = [tex]\frac{6}{y} + 13[/tex]

13 + (y ÷ 6) = [tex]13 + \frac{y}{6}[/tex]

∴ not equivalent.

Expanding option D equations:

7 + (y * 5) = 7 + 5y

7 + (5 * y) = 7 + 5y

∴ equivalent.

Hope this helps!

Answer:

B. - 3 / 2

Step-by-step explanation:

Let,

( x1, y1 ) = ( - 2, 5 )

So,

x1 = - 2

y1 = 5

( x2, y2 ) = ( 4, - 4 )

So,

x2 = 4

y2 = - 4

Formula : -

Slope = ( y2 - y1 ) / ( x2 - x1 )

Slope = ( - 4 - 5 ) / ( 4 - ( - 2 ) )

= - 9 / ( 4 + 2 )

= - 9 / 6

Slope = - 3 / 2

Answer:

B

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 2, 5 ) and (x₂, y₂ ) = (4, - 4 )

m = [tex]\frac{-4-5}{4-(-2)}[/tex] = [tex]\frac{-9}{4+2}[/tex] = [tex]\frac{-9}{6}[/tex] = - [tex]\frac{3}{2}[/tex] → B

[tex] \frac{1}{2} [/tex]

Answer:

the correct answere is 1:2

Step-by-step explanation:

my sister is working on the same thing and I helped her and she got it right.

Answer: $3550 or letter: I

Step-by-step explanation: 35*100= $3,500 + $50 (tax)= $3,550 or in your case it is closest to letter i

Answer:

x

=

−

8

−

√

13

3

,

−

8

+

√

13

3

I dont know why the answer is spacing out like this

Answer:

I would tell you

Step-by-step explanation:

you need to put 2 y and 2 x and that you need to divide

Answer:

1.50

Step-by-step explanation:

divide 2 add 5 divide 2 again

First we need to differentiate y

[tex]\\ \sf\Rrightarrow \dfrac{dy}{dx}[/tex]

[tex]\\ \sf\Rrightarrow \dfrac{d}{dx}(-16x^2-110x+15)[/tex]

[tex]\\ \sf\Rrightarrow -32x-110[/tex]

Now let it be 0

[tex]\\ \sf\Rrightarrow -32x-110=0[/tex]

[tex]\\ \sf\Rrightarrow -32x=110[/tex]

[tex]\\ \sf\Rrightarrow x=|110/-32[/tex]

[tex]\\ \sf\Rrightarrow x=3.44s[/tex]

Put it in y

[tex]\\ \sf\Rrightarrow y=15-110(3.44)-16(3.44)^2[/tex]

[tex]\\ \sf\Rrightarrow y=204.05ft[/tex]

Answer:

-3

Step-by-step explanation:

r = 12

s = -4

t = -6

Equation

rs ÷ 16

12(-4) ÷ 16

-48 ÷ 16

-3

The value of the expression rs ÷ 16 at r = 12,  s = -4, and t = -6 will be negative 3.

When the relevant components and basic processes of a numerical method are given values, the expression's result is the result of the computation it depicts.

The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.

The expression is given below.

⇒ rs ÷ 16

The value of the expression at r = 12,  s = -4, and t = -6 will be given as,

⇒ [12 × (-4)] ÷ 16

Simplify the expression, then we have

⇒ [12 × (-4)] ÷ 16

⇒ - 48 / 16

⇒ - 3

The worth of the articulation rs ÷ 16 at r = 12, s = - 4, and t = - 6 will be negative 3.

More about the value of the expression link is given below.

https://brainly.com/question/23671908

#SPJ2

Answer:

the baseball traveled 66 feet per second if that helps

Step-by-step explanation:

Answer:

A. (-5,4)

Step-by-step explanation:

A reflect on y=4 does not affect point (1,4) since it is on y=4

So a reflect on itself is the same

A reflection of x= -2 is trickier

Since the distance between x=-2 and (1,4) is 3 (I am only counting x-axis the distance between -2 and 1 is 3)

So we have to start at (-2,4) (Since the y-axis, "4" didn't change) and move it 3 points to the left

Which is (-5,4)

Thus A

Hope this helps!

The rate of change of the radius is 1.32cm²/s

The formula for calculating the volume of a sphere is expressed as:

The rate of change of the volume is given as:

Given the following paramters;

dv/dt = 23cm³/s

Volume = 7cm³

Get the radius of the sphere:

7 = 4/3 πr³\

21 = 4πr³

r³ = 21/4π

r = 1.18 cm

Get the rate of change of the radius to have:

[tex]23 = 4(3.14)(1.18)^2 \frac{dr}{dt} \\23 = 17.48 \frac{dr}{dt} \\\frac{dr}{dt}=1.32cm^2/s[/tex]

Hence the rate of change of the radius is 1.32cm²/s

Learn more on volume of a sphere here: https://brainly.com/question/22807400

Answer:

the answer is 5.25

Step-by-step explanation:

subtract the amount from the drink and should give you the cost of the sandwich

Answer:

25.6

Step-by-step explanation:

32-(32*20%)=32-6.4=25.6

Answer:

He caught 13 squirtles

Step-by-step explanation:

104/8 = 13 squirtles

Squirtles divided by pidgeys

Answer:

4

Step-by-step explanation:

Answer:

2 x 2 = 4

Step-by-step explanation:

if you count 2 2 times then you would get 4. EASY