Solve the equation by factoring.
4x2 + 8x = 21

Answer:

b

Step-by-step explanation:

there's a property for Alternate Interior Angles

Answer:

Choice B

Step-by-step explanation:

The reason why < 3 is equal to < 6 is because they are alternate interior angles.

The first choice are supplementary angles they add up to 180 so they can't be equal.

The third one is false because we don't actually know the measurements of the angles but they both need to be 45° to add up to 90 since they are equal to each other.

The last one is also incorrect because they are vertical angles just like the third choice and they aren't on a line so they can't add up to 180.

Step-by-step explanation:

2 * 2 for potatoes = £4

3 * 3 for carrots = £9

90p * 3 for turnips = 270p = £2.70

total price = 9+4+2.70=15.70

change = 20 - 15.70 = £4.30

11/12 -5/12 would equal 7/12. 7/12 can not be simplified, because seven and twelve can not be divided by the same number to get smaller numbers. 7/12 is the simpliest form

Answer:

1/2

the 1 goes on top and the 2 goes at the bottom

Answer:

2.47 feet

Step-by-step explanation:

Let l, b, and h be the length, width, and height of the box.

As the length is twice the width, so l=2b ...(i)

The volume of the box is 20 cubic feet, so

lbh=20

(2b)bh=20  [by using (i)]

[tex]h=\frac {20}{2b^2} \\\\h= \frac {10}{b^2} ...(ii)[/tex]

The material required= surface area, S, of the open box

S= lb+2bh+2lh

By using equation (i) and (ii), we have

[tex]S= 2b(b)+2b\times \frac {10}{b^2} +2(2b)\times \frac {10}{b^2}[/tex]

[tex]S= 2b^2+ \frac {20}{b} + \frac {40}{b} \\\\S= 2b^2+ \frac {60}{b} \cdots(i)[/tex]

Now, we have the surface area, S, as the function of width, b.

Differentiate S with respect to b then equate it to zero to get the extremum values, as

[tex]\frac {dS}{db}=0 \\\\\frac {d}{db}(2b^2 +60/b)=0 \\\\4b-\frac{-60}{b^2}=0 \\\\4b=\frac{60}{b^2} \\\\b^3=\frac{60}{4} \\\\b=(15)^{1/3}[/tex]

b=2.47 feet.

Now, by second differentiation, checking the nature of extremum value.

[tex]\frac {d^2S}{db^2}=4+\frac {120}{b^3}[/tex]

For [tex]b>0, \frac {d^2S}{db^2} >0[/tex]

So, the width of the box,  b=2.47,  is the minima for the area, S(b).

Hence, the width of the box that can be produced using the minimum amount of material is 2.47 feet.

Answer:

No picture?

Step-by-step explanation:

i need a picture to anwser

The answer is B. x=-7

Explanation:

I just substituted x for all of the answer choices until I found the right one.

Please mark Brainliest!

Answer:

B

Step-by-step explanation:

[tex]P=2L+2W[/tex]

[tex]P-2L=2W[/tex] (Subtract 2L from both sides of the equation)

[tex]2W=P-2L[/tex] (Symmetric Property of Equality)

[tex]W=\frac{P-2L}{2}[/tex] (Divide both sides of the equation by 2)

[tex]W=\frac{P}{2} -\frac{2L}{2}[/tex] ("Split" the fractions)

[tex]W=\frac{1}{2}P-L[/tex] (Simplify)

Hope this helps!

Work Shown:

Divide the two amounts, smaller over bigger, to get

231/2100 = 0.11

Then move the decimal point over two spots to the right to get to 11%

Note how 11% of 2100 = 0.11*2100 = 231.

(I copied this from another answer, but hope it helps!)

Answer:

Step-by-step explanation:

5 miles = 8 km

Then:

Then 27.4 miles is:

Answer:

2

Step-by-step explanation:

3x30=90

15x3=45

90/45=2

Answer:

He makes 14 field goals and 7 extra point kicks

Step-by-step explanation:

f=#of field goals

e=extra kick points

f+e=21

3f+1e=49

subtract top from bottom

2f=28

f=14

Good luck!

Answer:

240 hours

Step-by-step explanation:

1 week = 20 hours

12 weeks = 20 × 12

= 240 hours

Answer:

1/4

Step-by-step explanation:

I believe the answer is 1064.

P.s. your cute matsuki <3

Answer:

The total amount after five years =  $7,000

Step-by-step explanation:

Step(i):-

Given Esther deposited $5,000 into an account

Principal amount 'P' = 5000

Given rate of interest (R) = 8%

r = R / 100 = 0.08 per year

Step(ii):-

The total amount after 5 years

            [tex]A = P( 1 + r t )[/tex]

          [tex]A = 5000(1+ (0.08 X 5) = 7000[/tex]

Final answer:-

The total amount after five years =  $7,000

Answer:

1.05

Step-by-step explanation:

3.5x.30=1.05

Answer:

1.05

Step-by-step explanation:

You will have to multiply if you are trying to find the amount of water in total. So, 0.30*3.5=1.05. So, that would be your answer for the amount of rainfall.

60°

take (43.4-1.4)m to get the remaining height which Wii be you height ie.42m

base is the distance that the man stands away from the pole

using tan rule will be opposite/adjacent

Answer:

The vertices of triangle A'B'C' produced by (x, y)  →  (x+5, y-2)  will be:

Step-by-step explanation:

Given the vertices of an original triangle ΔABC such that

As the rule of translation is given by

Translation: (x, y)  →  (x+5, y-2)

So, after the translation the vertices of the original triangle ΔABC will be translated as:

A = (3, 0)  → (x+5, y-2)  ⇒ (3+5, 0-2) = A'(8, -2)

B = (3, 2)  →  (x+5, y-2)  ⇒ (3+5, 2-2) = B'(8, 0)

C = (0, -3) → (x+5, y-2)  ⇒ (0+5, -3-2) = C'(5, -5)

Therefore, the vertices of triangle A'B'C' produced by (x, y)  →  (x+5, y-2)  will be:

Answer:

A(5,2)

Step-by-step explanation:

A 90 degree rotation counterclockwise is

(x , y) -> (-y , x)

Therefore the coordinates of A changes from

A(2 , -5) to A(-(-5) , 2)

A(5,2)

Answer: extrapolation, and 25 months

Step-by-step explanation:

I took the Plato test and got it right, but if you want to know. Interpolation means based on the numbers given you could see the answer, extrapolation means you have to go farther than the last plot point given to get your answer. Which you do since it does not go past 12 months.

The second answer you can roughly get by pluging in each of the choices in the equation for x

For example: y=-200.22(25)+5015.20

That should give you an answer pretty close to zero so there is your answer

Answer:

extrapolation, and 25 months

Step-by-step explanation:

Answer:

Step-by-step explanation:

slope-intercept form of equation:  y = mx + b

where m is slope and b is y-intercept

If line y=ax+b passes through point (x₀,y₀) that means

that the equation y₀=ax₀+b is true

(2, 5)    ⇒   x=2,   y=5

m = 5

So:

              5 = 5×2 + b

               5 = 10 + b

               b = -5

Therefore equation in  slope-intercept form:

                                                                      y = 5x + (-5)

                                                                      y = 5x - 5                          

The equation of the line in slope-intercept form is y = 5x - 5.

Given that the slope of the line is 5 and it passes through the point (2, 5), we can use the point-slope form of a linear equation to find the equation of the line.

The point-slope form is given by:

y - y1 = m(x - x1),

where (x1, y1) is the given point and m is the slope.

Substituting the values, we have:

y - 5 = 5(x - 2).

Now, let's simplify this equation:

y - 5 = 5x - 10.

Next, let's isolate y:

y = 5x - 10 + 5.

Simplifying further:

y = 5x - 5.

So, the equation of the line in slope-intercept form is y = 5x - 5.

Learn more about slope-intercept form here:

https://brainly.com/question/29146348

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[tex]\huge \mathscr{\blue {\underline {\red{\underline{Answer :-}}}}} [/tex]

[tex] \bf \frac{5}{2} x - 7 = \frac{3}{4} x + 14[/tex]

[tex] \bf \implies \: \frac{5}{2} x - \frac{3}{4} x = 14 + 7[/tex]

[tex] \bf \implies \: \frac{10x - 3x}{4} = 14 + 7[/tex]

[tex] \bf \implies \: \frac{7}{4} x = 21[/tex]

[tex] \bf \implies \: 7x = 21 \times 4[/tex]

[tex] \bf \implies \: x = \frac{21 \times 4}{7} [/tex]

[tex] \bf \implies \: x = 3 \times 4[/tex]

[tex] \bf \implies \: x = 12[/tex]

ᴏᴘᴛɪᴏɴ (ᴅ) x = 12 ɪs ʏᴏᴜʀ ᴄᴏʀʀᴇᴄᴛ ᴀɴsᴡᴇʀ

[tex]{\huge{\underline{\small{\mathbb{\blue{HOPE\:HELPS\:UH :)}}}}}}[/tex]

Answer:

300 pickles

Step-by-step explanation:

9/3=3, 3*100=300

Answer:

11.1 repeating

Step-by-step explain

You would figure out that they have 3 pickles on each burger so do 100/9 and 11.1 repeating.

Answer:

56

Step-by-step explanation:

80 x (7 / 10) = 56

i dont think it right i only could do the first one i dint know the last one cuz ...

Answer:

2.3

Step-by-step explanation:

Your beginning equation is 5 (t + 3) = -3.5. You start by dividing by 5. This leaves you with t + 3 = 0.7. If you add 3 you get 2.3

Answer: m=1/6

Step-by-step explanation: