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Answer:

This is the answer, and I'm not very sure of it

Answer:

[tex](x+5)^2=4[/tex]

Step-by-step explanation:

We have:

[tex]x^2+10x+21=0[/tex]

First, subtract 21 from both sides:

[tex]x^2+10x=-21[/tex]

Now, we can complete the square. We will divide the coefficient of the b term and square it. So:

[tex](\frac{b}{2})^2\Rightarrow(\frac{10}{2})^2=(5)^2=25[/tex]

So, we will add 25 to both sides:

[tex](x^2+10+25)=-21+25[/tex]

The left is the perfect square trinomial pattern. Add on the right:

[tex]((x)^2+2(5)(x)+(5)^2)=4[/tex]

Final step:

[tex](x+5)^2=4[/tex]

Answer:

Step-by-step explanation:

Given function to be graphed is,

f(x) = -0.25x + 4

Table for the graph of the given function will be,

x        -2         0         2          4           6          8

f(x)     4.5       4        3.5        3          2.5        0

Now we can plot these points on the graph to find a line.

Graph of the linear function will be as the graph attached.

Answer:

Step-by-step explanation:

I took the test

Answer:

y = 3x - 6

Step-by-step explanation:

What you do is you plug both points in for the equation 2 times and solve as a system of equations.

Equation of a line: y = mx + b

(x,y) = (3,3)

(x,y) = (6,12)

3 = 3m + b

12 = 6m + b

Subtract equations to get rid of b to solve for m.

12 - 3 = 6m - 3m + b - b

9 = 3m

m = 3

Plug m back into both equations get b.

3 = 3(3) + b

b = -6

12 = 6(3) + b

b = -6

y = 3x - 6

Answer:

[tex]\displaystyle y = 3x - 6[/tex]

Step-by-step explanation:

First, find the rate of change of the line:

[tex]\displaystyle \frac{-y_1 + y_2}{-x_1 + x_2} = m \\ \\ \frac{-3 + 12}{-3 + 6} = m \hookrightarrow \frac{9}{3} = m \\ \\ \boxed{3 = m}[/tex]

_______________________________________________

Now plug all the information into the Slope-Intercept Formula. It does not matter which ordered pair is chosen:

[tex]\displaystyle 12 = 3[6] + b \hookrightarrow 12 = 18 + b; -6 = b \\ \\ \boxed{\boxed{y = 3x - 6}} \\ \\ OR \\ \\ 3 = 3[3] + b \hookrightarrow 3 = 9 + b; -6 = b \\ \\ \boxed{\boxed{y = 3x - 6}}[/tex]

I am joyous to assist you at any time.

Answer:

yes a 1:1 ratio

Step-by-step explanation:

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Answer:

hey do you still need the answer

Step-by-step explanation:

Answer:

36. Melissa did not give Billy any pencils.

Answer:

Step-by-step explanation:

Melissa gave Billy 36 shells

Answer:

300 kg

Step-by-step explanation:

Let Constant Ratio be x:

x+3x+5x = 540

9x = 540

x = 60 kg

So, weight of gravel (W) = 5x

5 x 60

W = 300 kg (ANS)

Answer: 7 feet

Step 1: Add the values of the sides we know the length of.

9 + 9 + 10 = 28.

Step 2: Subtract the number 28 from 35.

35 - 28 = 7

The answer is 7. Hope this helps!

Answer:

35 - 28 = 7

Step-by-step explanation:

7

Thanks bro...

Answer:

30

Step-by-step explanation:

Because 30 tens = 300

30 x 10 = 300

Take two points

Slope:-

[tex]\\ \sf\longmapsto \dfrac{-4}{-2}=2[/tex]

Equation in point slope form

[tex]\\ \sf\longmapsto y-y_1=m(x-x_1)[/tex]

[tex]\\ \sf\longmapsto y=2x[/tex]

In slope intercept form

Answer:

Step-by-step explanation:

Line passes through origin (0, 0) so y-intercept is zero: b=0

At x=2, y=4 so slope is 4/2=2: m=2

Answer is y = 2x

Answer:

d=−0.5n+7.5, n=−2d+15

Step-by-step explanation:

Answer: 99

Step-by-step explanation:

Supplementary angles add to 180 degrees, 180-81=99

Answer:

We have to find the LCM(least common multiple) of the two numbers.

24 is the LCM, because;

Multiples of 8 are -

8 x 1 = 8

8 x 2 = 16

8 x 3 = 24

Multiples of 12 are -

1 x 12 = 12

2 x 12 = 24

24 is their least common multiple.

Answer:

Step-by-step explanation:

Both angles added together = 180 degrees. They both have a straight line as their base.

So let <ABC = x

Then <CBD = 3x      Add the two angles

x + 3x = 180              Combine

4x = 180                    Divide by 4

4x/4 = 180/4

x = 45

So 3x = 3*45 = 135

Answer:

4 bags

Step-by-step explanation:

Answer:

3 bags

Step-by-step explanation:

each bag will have 8 almonds and 8 walnuts.

Answer: $827

Step-by-step explanation:

Given that :

Cash down payment = 5880

Payment at end of first year = 5880

Payment at end of second year = 5880

Interest rate = 5% = 0.05 compounded yearly

Let purchase amount = y

Amount left after cash down = amount on which interest is paid = y - 5880

Interest at end of first year :

(y - 5880) * 0.05 = 0.05y - 294

Amount to pay plus interest :

Amount left after cash down payment - amount paid at end of first year + interest

y - 5880 - 5880 + 0.05y - 294

y - 12054 + 0.05y

= 1.05y - 12054

2nd year interest :

(1.05y - 12054) * 0.05

= 0.0525y - 602.7

Amount left + interest = 2nd year payment

(1.05y - 12054) + (0.0525y - 602.7) = 5880

1.1025y - 12656.7 = 5880

1.1025y = 5880 + 12656.7

1.1025y = 18536.7

y = 18536.7 / 1.1025

y = 16813.33

Hence,

Sales price of washing machine = 16813.33

Total amount paid = (5880 + 5880 + 5880) = 17640

Interest paid = $(17640 - 16813.33) = $826.67

= $827

The total interest paid by him in this scheme, if the rate of interest is 5% compounded yearly is INR 826.67

Given:

Down payment = INR 5880

Payment at end of first year = INR 5880 (same as down payment)

Payment at end of second year = INR 5880 (same as down payment)

Interest rate = 5%

= 5/100

= 0.05 compounded yearly

Amount of purchase = x

Amount remaining after down payment

= x - 5880

Interest at end of first year :

(x - 5880) * 0.05(5,880)

= 0.05x - 294

Amount to pay plus interest = Amount remaining after down payment - amount paid at end of first year + interest

= x - 5880 - 5880 + 0.05x - 294

= x - 12,054 + 0.05x

= 1.05x - 12,054

2nd year interest :

(1.05x - 12054) * 0.05

= 0.0525x - 602.7

Amount left + interest = 2nd year payment

(1.05x - 12054) + (0.0525x - 602.7) = 5880

1.1025x - 12656.7 = 5880

1.1025x = 5880 + 12656.7

1.1025x = 18536.7

divide both sides by 1.1025

x = 18536.7 / 1.1025

x = 16,813.33

Therefore, The cost of washing machine b is INR 16,813.33

Total amount paid = (5880 + 5880 + 5880) = INR 17,640

Amount of Interest paid = (17640 - 16813.33)

= INR 826.67

Read More:

https://brainly.com/question/18456266

Answer:

D: -12

R:6

Step-by-step explanation:

I hope this right

Answer:

50° Because considering the total angles is still half a line segment 50° is

Answer:

40 degrees  A for me on EDG 2022

Step-by-step explanation:

June 21st

Answer:

60.5

Thanks!

Mark me brainliest!

~[tex]FieryAnswererGT[/tex]~

Answer:

6 inches

Step-by-step explanation:

6 inches is the only feasible answer because if the length is 6 inches, you have 6 + 6  which equals 12. This leaves 2 more units for the perimeter so the width would be 1 unit. The other choices could not exist, because 7 x 2 is 14 (no units left for width, and the width of a rectangle cannot be 0), 8 x 2 is 16, and 9 x 2 is 18.

Answer:

the answer is 2996848

Step-by-step explanation:

Answer:

x=3

Step-by-step explanation:

simplify

6x−8=3x+1

subtract 3x

3x−8=1

add 8 to each side

3x=9

divide both sides by 3

x=3

Complete Question

It is found that on average, 9% of the population recycles its garbage. Under this assumption, if a random sample of 120 households in Iowa City is taken, would you be surprised to find that fewer than 3% of households in the sample recycle their garbage? Use the fact that p-hat has an approximately normal distribution.

Group of answer choices

A I would not be surprised because there are lots of lazy students in Iowa City.

B I would not be surprised because 3% is not that far away from 9%.

C I would be surprised because Iowa City is a very clean community which means lots of people recycle their garbage.

D I would be surprised because if the 9% average is true, the chance of a sample proportion being less than 3% is very small (only 1%). Who cares? It's only garbage!

Answer:

The correct option is D

Step-by-step explanation:

From the question we are told that

    The sample size is  n  = 120

    The  mean of the proportion is  p =  0.09

Generally the standard deviation is mathematically represented as

      [tex]\sigma  =  \sqrt{\frac{p(1-p)}{n} }[/tex]

=>   [tex]\sigma  =  \sqrt{\frac{0.09(1-0.09)}{120 } }[/tex]

=>   [tex]\sigma  = 0.02612[/tex]

Generally the chance that fewer than 3%   of households in the sample recycle their garbage is mathematically represented as

    [tex]P(X < 0.03) =  P( \frac{X - p}{\sigma}  <  \frac{0.03 -0.09}{0.02612} )[/tex]

    [tex]P(X < 0.03) =  P( Z  < -2.297 )[/tex]

From the z-table  

     [tex]P( Z  < -2.297 ) = 0.01[/tex]

=> [tex]P(X < 0.03) = 0.01/tex]

=>   [tex]P(X < 0.03) = 1\% /tex]

Answer:

KR //MT

Since angle JKR and LMT are equal as they are corresponding angle.

Answer:

[tex]2\frac{13}{120}[/tex]

Step-by-step explanation:

**Fractions for addition and/or subtraction need equal denominators

Alike denominators in parentheses

[tex]4\frac{2}{5} -(1\frac{2}{3}+\frac{5}{8})\\4\frac{2}{5} -(1\frac{2}{3}(\frac{8}{8}) +\frac{5}{8}(\frac{3}{3} ))\\4\frac{2}{5}-(1\frac{16}{24}+\frac{15}{24})\\4\frac{3}{5} -(1\frac{31}{24} )\\4\frac{3}{5} -(2\frac{7}{24} )[/tex]

[tex]4\frac{2}{5}-2\frac{7}{24}[/tex]

Solve

[tex]4\frac{2}{5}-2\frac{7}{24} \\4\frac{2}{5}(\frac{24}{24}) -2\frac{7}{24}(\frac{5}{5})\\4\frac{48}{120}-2\frac{35}{120}\\2\frac{13}{120}[/tex]

Answer:

60 degrees

Step-by-step explanation:

Answer:

The answer is 60

Step-by-step explanation:

45-60 = -15

Answer:

y=5x+7

Step-by-step explanation:

y-y₁=m(x-x₁) will be our starting equation

Now input (-2, -3) and 5 as our slope because a parallel line has the same slope.

y-(-3)=5(x-(-2))  Input

y+3=5(x+2)      Simplify

y+3=5x+10      Distribute 5 into the parenthesis

y=5x+7            Subtract 3 from both sides

Answer:

y=5x+7

Step-by-step explanation: