Kelsey graphed the equation y = 3x + 1 as shown below. On a coordinate plane, a line goes through points (negative 3, 0) and (0, 3). Which describes Kelsey’s error?

Answer:

B, 24 (second answer choice)

Step-by-step explanation:

4r+7s=23

r-2s=17

8r+14s=46

7r-14s=119

15r=165

r=11

11-2s=17..........by putting value of r in ii

-2s=17-11

2s= -6

s= -3

3r+3s=3*11+3(-3) you get this by putting values of r and s

       =33-9

       =24    (B)

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Explanation:

Add the left hand sides of the two equations to get (4r+7s)+(r-2s) = 5r+5s

Do the same for the right hand sides of the two equations 23+17 = 40

After adding the equations, we end up with 5r+5s = 40 which is the same as 5(r+s) = 40

Next, divide both sides by 5 to lead to r+s = 8

Finally, multiply both sides by 3 to end up with 3(r+s) = 24 which is the same as 3r+3s = 24

----------------------------

An alternative is to solve r-2s = 17 for r to get r = 2s+17. Then plug this into 4r+7s = 23 getting 4(2s+17)+7s = 23. This solves to...

4(2s+17)+7s = 23

8s+68+7s = 23

15s+68 = 23

15s = 23-68

15s = -45

s = -45/15

s = -3

Which means,

r = 2s+17

r = 2(-3)+17

r = 11

and therefore,

3r+3s = 3(-3)+3(11) = -9+33 = 24

Answer:

2.(3y+4)

Step-by-step explanation:

1/2

8y-1/2.(4y -16))

3.1

4y-16=4.(y-4)

5.1 6y +8 =2•(3y+4)

final answer 2•(3y+4)

Answer:

D. 325 cubic units

Step-by-step explanation:

Since this is an irregular 3 dimensional object, I'm going to cut it into a 5 by 5 by 5 cube and a 5 by 5 by 8 rectangular prism.

Solving for the cube:

5*5*5=

25*5=

125 units³

Solving for the rectangular prism:

5*5*8=

25*8=

200 units³

Now to find the total volume of the figure, we need to add those 2 volumes together:

200+125=325 units³

Our answer is D. 325 cubic units.

Answer:

20

Step-by-step explanation:

Answer:

3y(y−5)

Step-by-step explanation:

I factored the expression

mark me brainliest please

Answer:

[tex]10\left(h+3+5j\right)[/tex]

Step-by-step explanation:

[tex]10h+30+50j\\10h+3\cdot \:10+5\cdot \:10j\\10\left(h+3+5j\right)[/tex]

Answer:

10(h+3+5j) and 2(5h+15+25j

Step-by-step explanation:

To factor means to rewrite an expression as a product. Let's try dividing the expression then we find if its equivalent or not and there is the answer ;)

mark brainliest

Answer:

[tex]k=5[/tex]

Step-by-step explanation:

[tex]18 + 8k = 58\\\\\text {Subtract 18 from both sides.}\\\rightarrow 18-18+8k=58-18\\\boxed {8k=40}\\\\\text {Divide by 8 on both sides.}\\8k/8 = 40/8\\\boxed {k=5}[/tex]

Brainliest Appreciated!

Answer:

k>3.

Step-by-step explanation:

Hello there!

Just graph this on a number line, and you will see that any number above 3 can be equal to k.

:)

Answer:

The percentage of error in the question is 75%.

Step-by-step explanation:

To find the percentage of error, we need to subtract the actual value from the value that was expected, divide the result by the expected value.

He predicted that the crop would produce 8 bushels so this is our expected value. The actual value, which is the number of bushels produced, is 14.

So the percentage of error in the question is 75%.

I hope this answer helps.

Answer:

356

Step-by-step explanation:

.55*647=356

Answer:

[tex]6.31*10^{-4} \\8.1*10^{9}[/tex]

Step-by-step explanation:

0.00065 - 0.000019 = 0.000631

Move back 4 decimal places.

5300000000 + 2800000000 = 8100000000

Move forward 9 decimal places.

Hope this helps! If you need help on converting them back to scientific notation or getting the value of the exponent, just ask!

Final answer:

To find the sum or difference, adjust the scientific notations to have the same exponent, perform the operation, and keep the result in scientific notation. (6.5×10⁻⁴) − (1.9×10⁻⁵) equals 6.31×10⁻⁴ and (5.3×10⁹) + (2.8×10⁹) equals 8.1×10⁹.

Explanation:

To find the sum or difference of numbers in scientific notation, we need to make sure that the exponents are the same. If they're not, we adjust one of the numbers by changing its exponent and mantissa accordingly.

Solution for (6.5×10⁻⁴) − (1.9×10⁻⁵)

First, we adjust the second term so that it has the same exponent as the first:
(1.9×10⁻⁵) = (0.19×10⁻⁴)
Now, we subtract the mantissas while maintaining the exponent:
(6.5 - 0.19)×10⁻⁴ = 6.31×10⁻⁴.

Solution for (5.3×10⁹) + (2.8×10⁹)

Since the exponents are the same, we can directly add the mantissa:
(5.3 + 2.8)×10⁹ = 8.1×10⁹.

Both answers are now in scientific notation.

Answer:

(2x+5)(2x-5)

x=-5/2, +5/2

Step-by-step explanation:

Answer:

You would do 18/2 first.

Step-by-step explanation:

In order of P.E.M.D.A.S (Parentheses, Exponents, Multiplication, Division, Addition, Subtraction), Division is the first main operation you would do, therefore making 18/2 the first thing to do.

Answer:

  x = 149

Step-by-step explanation:

The transversal t crosses parallel lines m and n creating a number of angles. Both marked angles are above and to the right of the point of intersection, so they are corresponding angles.

Corresponding angles in this geometry have identical measures:

  x° = 149°

  x = 149

Answer:

Part 1) 12, 31, 9, 20, 36, 5, 22

Sort the data:

5, 9, 12, 20, 22, 31, 36

Median: 20

First Quartile: 9

Third Quartile: 31

IQR: 31 - 9 = 22

and

Part 2) 63, 68, 58, 77, 50, 49, 63, 73

Sort the data:

49, 50, 58, 63, 63, 68, 73, 77

Median: (63÷63)/2 = 63

First Quartile: (50+58)/2 = 54

Third Quartile: (68+73)/2 = 70.5

IQR: 70.5 - 54 = 16.5

Answer:

its true

Step-by-step explanation:

3 and 6 are are the multiples of three on a standard number cube 2 numbers out of six are multiples so 2/6 2/6 reduced is 1/3

Let x represent temperature of the ocean.

We have been given that the temperature of the ocean at Huntington Beach can vary up to 8.6°F from the  average temperature of 75°F. We are asked to write an absolute value equation to find the temperature extremes of the ocean.

We will use tolerance formula to solve our given problems.

[tex]|\text{Actual}-\text{Ideal}|\leq\text{Tolerance}[/tex]

Upon substituting our given values in above formula, we will get:

[tex]|x-75|\leq 8.6[/tex]

Therefore, our required inequality would be [tex]|x-75|\leq 8.6[/tex].

Using absolute value rule [tex]\text{If }|u|\leq a,\text{ then } -a\leq u\leq a[/tex], we will get:

[tex]-8.6\leq x-75\leq 8.6[/tex]

[tex]-8.6+75\leq x-75+75\leq 8.6+75[/tex]

[tex]66.4\leq x\leq 83.6[/tex]

Therefore, the temperature extremes of the ocean would be [tex]66.4\leq x\leq 83.6[/tex].

Answer:

D

Step-by-step explanation:

[tex]\frac{1}{18}[/tex]

Probability is a discipline of mathematics concerned with numerical explanations of the likelihood of an event occurring or the truth of a claim. An event's probability is a number between [tex]0[/tex] and [tex]1[/tex].

Number of white socks [tex]=6[/tex]

Number of black socks [tex]=4[/tex]

Number of brown socks [tex]=2[/tex]

A brown sock is picked and replaced  then a black sock is picked.

Probability that a brown sock is picked and replaced  then a black sock is picked [tex]=\frac{2}{12}\times \frac{4}{12}[/tex]

           [tex]=\frac{1}{3}\times \frac{1}{6}[/tex]

           [tex]=\boldsymbol{\frac{1}{18}}[/tex]

For more information:

https://brainly.com/question/11234923?referrer=searchResults

Answer:

Account 1 yields greater return.

Step-by-step explanation:

Lets solve for the first formula:

[tex]A=P(1+\frac{r}{n} )^{nt}[/tex]

First, change 6.5% into a decimal:

6.5% -> [tex]\frac{6.5}{100}[/tex] -> 0.065

Now, plug in the values for Account 1:

[tex]A=3,000(1+\frac{0.065}{2})^{2(10)}[/tex]

[tex]A=5,687.51[/tex]

Now solve for Account 2:

Change 6% into a decimal:

6% -> [tex]\frac{6}{100}[/tex] -> 0.06

Now plug in the values:

[tex]A=3,000e^{0.06(10)}[/tex]

[tex]A=5,466.36[/tex]

Account 1 yields better money after 10 years.

Answer:

∠TSR= 48°

∠RTS = 107°  

∠TRS = 25°

Step-by-step explanation:

As we know in any triangles,

We can apply The Law of Cosines , which is:

[tex]c^{2}[/tex] = [tex]a^{2}[/tex] + [tex]b^{2}[/tex]  − 2ab cos(C)

In this situation we have:

Apply The Law of Cosines to find the angle of TRS

<=> [tex]6^{2} = 11^{2} + 14^{2} - 2*11*14*cos(TRS)[/tex]

<=> cos(TRS ) = ([tex]11^{2} + 14^{2} - 6^{2}[/tex]) / 2*11*14

<=> cos(TRS ) = 0.91

<=> ∠TRS  = 25°

Apply The Law of Cosines to find the angle of RTS

<=> [tex]14^{2} = 11^{2} + 6^{2} - 2*11*6*cos(RTS)[/tex]

<=> cos(RTS) =  ([tex]11^{2} + 6^{2} - 14^{2}[/tex]) / 2*11*6

<=> cos(RTS) = -0.29

<=> ∠RTS = = 107°  

So we can find the measure of angle TSR

∠TSR= 180° - 107°  - 25°

∠TSR= 48°

Using cosine law or sin law the angles of the triangle is as follows:

∠T = 107.2°

∠S = 48.6°

∠R = 24.2°

Using cosine rule,

Therefore,

14² = 6² + 11²- 2 × 6 × 11 cos T

196 - 36 - 121 = -132 cos T

cost T = 39 / - 132

T = cos⁻¹ -0.29545454545

T = 107.184793175

T = 107.2°

Therefore, let's find angle S using sine law

s / sin S = t / sin T

11  / sin S = 14 / sin 107.2

11 sin 107.2 = 14 sin S

sin S = 10.5080619833 / 14

S = sin ⁻¹ 0.75057585595

S = 48.6397771973

S = 48.6°

R = 18 0 - 48.6 - 107.2 = 24.2

R = 24.2°

learn more on triangle here: https://brainly.com/question/9838941

Answer:

B. 68 feet

Step-by-step explanation:

So you realize that 30 + 30 + w + w = P. We likewise realize the territory is 240 square feet. Gap 240 by 30 to discover the width of the territory. 240/30 = 8. w = 8. So include 30 + 30 + 8 + 8 to find that P = 76. Notwithstanding, recall that George is utilizing some portion of his home as a divider rather than a fence. So take away 8 from 76 to get 68 ft. George will require 68 ft. of fencing for his dog run.

Answer: (B) 68.

Have a great day!

Answer:

-3/2

Step-by-step explanation:

That is the answer on Khan.

The slope of the graph passes through the points (0, 2) and (2, - 1) is, - 3/2

Used the concept of the slope of the line which states that,

The slope of a line passing through the points (x₁ , y₁) and (x₂, y₂) is,  

[tex]m = \dfrac{(y_2 - y_1)}{(x_2 - x_1)}[/tex]

Given that,

The graph of a line is shown.

Let two points on the graph be (0, 2) and (2, - 1).

Hence, the slope of the line is,

[tex]m = \dfrac{(-1 - 2)}{(2 - 0)}[/tex]

[tex]m = \dfrac{- 3}{2}[/tex]

So, the slope of the graph is - 3/2.

To learn more about the equation of line visit:

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#SPJ4

Answer:

2000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

Step-by-step explanation:

Answer:

Length of the tape = Length of the side of the Cube = ³√ V

Step-by-step explanation:

The Volume of a cube box = s³

Where s = length of the side of a cube.

The units of a cube is given as cubic units.

From the question, we were told, a decorative tape was placed at the side of the cube.

Since the volume of a cube is designated as V,

The length of the tape is equivalent to the side of a cube.

Therefore, Since V = s³

Length of the tape = Length of the side of the cube is derived as :

V = s³

Find the cubic root of both side

³√ V = ³√ s³

s = ³√V

Therefore the Length of the tape = Cubic root of the Volume of the cube and it is expressed mathematically as :

s = ³√V

Answer:

4[tex]\sqrt[3]{V}[/tex]

Step-by-step explanation:

This is the correct answer off imagine math

Answer:

1/4

Step-by-step explanation:

Answer:

This is what I got 0.375

Step-by-step explanation:

But this is in decimal form. Sry

Answer:

D. Side FG is two times the length of side PQ.

Step-by-step explanation:

Because FGH was dilated by a scale factor of 1/2 to create PQR, that means that every side of FGH is two times the side lengths of PQR.

Answer:

C. 14xy - 6y²

Step-by-step explanation:

The distributive property will essentially result in the sum of the product of the "outside term" with each of the "inside terms".

Here, the "outside term" is 2y and the "inside terms" are 7x and -3y. So:

2y(7x - 3y) = 2y * 7x + 2y * (-3y) = 14xy - 6y²

The answer is C.

Answer:

32.42  miles

Step-by-step explanation:

you could have just added

Answer:

32.42 miles

hope this helped