Solve for x in the following equation.

Answer: Option C.

Step-by-step explanation:

The equation of the line in slope-intercept form is:

[tex]y=mx+b[/tex]

Where the slope is "m" and the intersection of the line with the y-axis is "b".

Given the function f(x) in the form [tex]f(x)=x[/tex], you can identify that:

[tex]m=1\\b=0[/tex]

This means that the line passes through the origin (0,0)

And from the function g(x) in the form [tex]g(x)=x-16[/tex], , you can identify that:

[tex]m=1\\b=-16[/tex]

This means that the line of the function g(x) and the line of the function f(x) have the same slope, but the line of g(x) passes through the point (0,-16)

Therefore, the graph of f(x) must be shifted 16 units down to produce the graph of g(x)

I think it’s B) multiplicative

Answer:

Mr. Johnson would have ordered 18816 jaw breakers.

Step-by-step explanation:

Multiply 392 by 48

Mr. Johnson ordered a total of 18816 jawbreakers by multiplying the number of boxes (48) by the number of pieces of candy per box (392).

The question involves calculating the total number of jawbreakers Mr. Johnson ordered. To do this, we need to multiply the number of boxes ordered by the number of pieces of candy per box.

Step-by-step calculation:

Identify the number of boxes ordered: 48 boxes.

Identify the number of candies per box: 392 pieces.

Multiply the number of boxes by the number of candies per box to find the total: 48 boxes × 392 pieces/box = 18816 jawbreakers.

Therefore, Mr. Johnson ordered a total of 18816 jawbreakers.

Answer: real numbers?

Step-by-step explanation:

Answer:

The number line is graph of the or can be graph of any of the following set of numbers.

  1. Natural numbers

  2. Whole numbers

  3. Integers

  4.Rational Numbers

   5.Irrational numbers

   6. Real numbers

We can represent all this set of numbers on the graph of number line.

Answer:

D. Fourth-degree trinomial

Step-by-step explanation:

I think this would be the correct answer because the highest degree the polynomial is raised to would be 4 (hence the fourth degree). It would be a trinomial because of 9x^4, 3x, and 4

Answer:

The left side is not equal to the right side, which means that the given statement is false.

False

Step-by-step explanation:

Answer: g= 3x/c

Not sure if this helps

12 Roses since your multiplying by 2

Answer:12

Step-by-step explanation: there are 8 roses and 6 daisies, if 8 turns into 16, that’s multiplied by 2, so you multiply 6 by 2 and get 12,

8 * 6

_ * _

16*X, cross multiply

Answer:

Changing value of "a" changes the amplitude of the sine graph.

Step-by-step explanation:

Question says to find about how does the a value affect your sine graph.

General equation of sine function can be given as:

[tex]y=a\cdot\sin\left(b\left(x-h\right)\right)+k[/tex]

There value of "a" gives amplitude.

So changing value of "a" changes the amplitude of the sine graph.

Multiply the negative sign into the second bracket and get rid of both brackets

-3y-x-5y+8x

Collect like terms

-8y+7x

Answer:

B:  -8y + 7x

Step-by-step explanation:

Start with (-3y-x)-(5y-8x).  This is a subtraction problem.  Subtract 5y from -3y, obtaining -8y.  Next, subtract -8x from -x; this is equivalent to  -x - (-8x), or 7x.

Then the difference -x + 8x = 7x.

Combining the x and y results, we get   B:  -8y + 7x.

8•9+12\4-(5+3)

We are gonna use the method PEMDAS (Parenthesis, Exponents, Multiplication/Division, Addition/ Subtraction) to help us solve this equation.

8•9+12/4-8

72+12/4-8

72+3-8

75-8

67

To solve the equation 8 × 9 + 12 ÷ 4 - (5 + 3), apply the order of operations (BIDMAS/PEMDAS): Brackets, Indices, Division/Multiplication (left to right), Addition/Subtraction (left to right). The final answer is 67.

The subject of this question is Mathematics and it pertains to the correct order of operations. To solve the provided equation, 8 × 9 + 12 ÷ 4 - (5 + 3), we must follow the order of operations which is popularly known as BIDMAS or PEMDAS. This acronym stands for:

Here, we proceed by doing the operations within the brackets. (5+3) equals 8. Now, substitute 8 in the expression and we get 8 × 9 + 12 ÷ 4 - 8. Now according to BIDMAS/PEMDAS, the next step is to do multiplication and division from left to right. The expression now becomes 72 + 3 - 8. Finally, we do addition and subtraction from left to right, so the final result is 67.

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Answer:

We have

sale price + 6% x sale price = $121.37;

Then

(106/100) x sale price = $121.37;

sale price = $121.37 x 100 / 106;

sale price = $12137 / 106;

sale price = $114.50;

Step-by-step explanation:

To find the sale price of a dress before a 6% tax added up to a total of $121.37, divide the total by 1.06. The original sale price was $114.50.

The student is asking how to calculate the sale price of a dress before tax when the total cost, including a 6% tax, was $121.37. To find the sale price before taxes, you need to divide the total cost by 1 plus the tax rate expressed as a decimal.

First, convert the percentage to a decimal, which gives us 0.06 for a 6% tax. Then, add 1 to the tax rate (1 + 0.06 = 1.06) and divide the total cost by this sum to get the original price:

Sale price = Total cost / (1 + Tax rate)
Sale price = $121.37 / 1.06
Sale price = $114.50 (rounded to the nearest penny)

Therefore, the original sale price of the dress was $114.50.

2x - 5 = x - 7

First, let's subtract x from both sides:

2x - x - 5 = x - x - 7

x - 5 = -7

Now, let's add 5 to both sides:

x - 5 + 5 = -7 + 5

x = -2

Answer:

x = -2

Step-by-step explanation:

2x - 5 = x - 7

2x - x - 5 = -7

2x - x = -7 + 5

Now we have isolated x

2x - x = 5 - 7

2x - x = -2

x = -2

Wouldn’t it be 36.7 because that’s the arch am I right?

Answer:

The measure of arc CD is 114.6°.

Step-by-step explanation:

Let the center of the circle be O and OP is perpendicular to CD at point point P.

The perpendicular line from the center of circle divide each chord in two equal parts. so, CP=DP.

[tex]CP=\frac{CD}{2}=\frac{36.7}{2}=18.35[/tex]

In a right angles triangle,

[tex]\sin\theta =\frac{opposite}{hypotenuse}[/tex]

In a right angles triangle OPC,

[tex]\sin\angle POC =\frac{18.35}{21.8}[/tex]

[tex]\angle POC =\sin^{-1} (\frac{18.35}{21.8})[/tex]

[tex]\angle POC \approx 57.3[/tex]

In triangle OPC and OPD,

[tex]OC=OD[/tex]                  (Radius)

[tex]OP=OP[/tex]                  (Reflexive property)

[tex]CP=DP[/tex]                   (Altitude on chord from center)

By SSS postulate

[tex]\triangle OPC\cong \triangle OPD[/tex]

[tex]\angle POC\cong \angle POD[/tex]                      (CPCTC)

[tex]\angle POC=\angle POD[/tex]

The measure of angle COD is

[tex]\angle COD=\angle POC+\angle POD[/tex]

[tex]\angle COD=2\angle POC[/tex]

[tex]\angle COD=2(57.3)[/tex]

[tex]\angle COD=114.6[/tex]

Therefore the measure of arc CD is 114.6°.

It is undefined, meaning it will not pass the vertical line test

Answer:

6.7 years (approx)

Step-by-step explanation:

Answer:

P - 4

Step-by-step explanation:

there are 12 collectors donating a total of 48 paintings.

48/12=4

each collector will donate 4 paintings.

Sergio has (p) paintings now, so after he donates 4 paintings, he will have p-4 paintings in his art collection.

Sergio will have p-4 paintings in his art collection after his donation

Answer:

ONE

Step-by-step explanation:

ONE real number solution.  The graph intersects the x-axis in only one place.

Answer:

The price been reduced by a percentage of 40%

Step-by-step explanation:

we know that

$39.95 -----> represent the 100%

so

The difference of prices is equal to ($39.95-$23.97)=$15.98

Using proportion

Find the percentage of the difference

100/39.95=x/15.98

x=100*15.98/39.95

x=40%

Answer:

40% is the percentage decreased.

Hope it helped!

Thanks.

Answer:

y=5x-10

Step-by-step explanation:

slope intercept form is y=mx+b

since we know it is parallel to y=5x-1, we know that it has the same slope of 5.

So, we plug it in:

y=mx+b

y=5

x=3

(taken from point (3,5))

m=5

(taken from parallel line)

5=(5)(3)+b

5=15+b

b=-10

The equation would be y=5x-10

Answer:

The polynomial 4uv²w²  is a monomial, since its a single term.

Degree of polynomial: it is sum of exponent of its variables.

power of u = 1, power of v = 2, power of w = 2

Degree of polynomial: 5

3 is correct , base is never equal to 1 cause all of solves of logarithm will be 0

Answer with explanation:

Consider a Logarithmic Function

  [tex]y=\log_{a} b\\\\y=\frac{\log b}{\log a}\\\\ \text{if, a=1,then}\\\\y=\frac{\log b}{\log 1}\\\\y=\frac{\log b}{0}[/tex]

which is not defined.

Also,⇒ a∈(0,∞)≠1.

b> 0, that is, b∈(0,∞)

Option C:

 is not a logarithmic function because the base is equal to 1.

Answer:

D [tex]\left[\begin{array}{ccc}-6&-6.5&1.7\\-2&-8.5&19.3\end{array}\right][/tex]

Step-by-step explanation:

Two matrices are equal when they

If in option D the second row is 2  -8.5  19.3 , then these matrix is equal to the given.

Answer:

Its D on edge

Step-by-step explanation:

Final answer:

To find the unknown values in the given ratios, solve for x by setting up proportions and using cross-multiplication to calculate the missing value.

Explanation:

Find the unknown: 4:2:3 = x : 18: 27

Each time, you are subtracting 6 to get to the next term. The 8th term would be 12.

Answer=5288

Step-by-step explanation: I got it know so basically (18*274) + (89*4) which equals 4932+356=5288

Answer:

5288 wheels

Step-by-step explanation:

Wheel count:  18(274) + 89(4) (since regular trucks have 4 wheels)

This comes to 4932 + 356, or 5288 wheels in the lot.

[tex]\bf ~~~~~~~~~~~~\textit{angle between two vectors } \\\\ cos(\theta)=\cfrac{\stackrel{\textit{dot product}}{u \cdot v}}{\stackrel{\textit{magnitude product}}{||u||~||v||}} \implies \measuredangle \theta = cos^{-1}\left(\cfrac{u \cdot v}{||u||~||v||}\right) \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \begin{cases} u=i+\sqrt{7}j\implies &<1,\sqrt{7}>\\\\ v=-i+9j\implies &<-1,9> \end{cases} \\\\[-0.35em] ~\dotfill[/tex]

[tex]\bf u\cdot v\implies (1)(-1)~+~(\sqrt{7})(9)\implies -1+9\sqrt{7}\implies 9\sqrt{7}-1~\hfill dot~product \\\\[-0.35em] ~\dotfill\\\\ ||u||\implies \sqrt{1^2+(\sqrt{7})^2}\implies \sqrt{1+7}\implies \sqrt{8}~\hfill magnitudes \\\\\\ ||v||\implies \sqrt{(-1)^2+9^2}\implies \sqrt{1+81}\implies \sqrt{82} \\\\[-0.35em] ~\dotfill[/tex]

[tex]\bf \theta =cos^{-1}\left( \cfrac{9\sqrt{7}-1}{\sqrt{8}\cdot \sqrt{82}} \right)\implies \theta =cos^{-1}\left( \cfrac{9\sqrt{7}-1}{\sqrt{656}} \right) \\\\\\ \theta \approx cos^{-1}(0.8906496638868531)\implies \theta \approx 27.05[/tex]

make sure your calculator is in Degree mode.

Answer:

0.34

Step-by-step explanation:

Do the inverse operation so;

0.034 / 1/10 = 0.34

Now go back and subsitute,

0.34 * 1/10 = 0.034

In the equation □ x 1/10 = 0.034, the missing value is 0.34 as obtained by isolating □ on one side, i.e., □ = 0.34.

The equation presented in the question is □ x 1/10 = 0.034. The missing value is the number that should be multiplied by 1/10 to result in 0.034. To solve for this missing value, we can rearrange the equation using the basic algebraic method. We isolate the missing value (□) on one side by dividing both sides of the equation by 1/10. This results in □ = 0.034 / (1/10), which simplifies further to □ = 0.34. Therefore, the missing value in the equation □ x 1/10 = 0.034 is 0.34.

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Answer:

102

Step-by-step explanation:

Answer:

102.

Step-by-step explanation:

First, divide 255 by 5 (255÷5=51).

Then multiply the result of 255÷5 by 2 (51×2)

And 51×2=102

Answer:

d = sqrt(101)

Step-by-step explanation:

To find the distance between two points, we use the formula

d =sqrt ((x2-x1)^2 + (y2-y1)^2)  where (x1,y1) and (x2,x2) are the points

d = sqrt ((-13--3)^2 + (-23--22)^2)

d = sqrt ((-13+3)^2 + (-23+22)^2)

d = sqrt((-10)^2 + (-1)^2)

d = sqrt(100)+1)

d = sqrt(101)

I also think its A cause you find the next term when your multiply the constant (common ratio) so it makes sense for it to be A

Answer:

Step-by-step explanation:

[tex]\text{A geometric sequence:}\\\\a_1,\ a_2,\ a_3,\ a_4,\ ....\\\\\dfrac{a_2}{a_1}=\dfrac{a_3}{a_2}=\dfrac{a_4}{a_3}=...=\dfrac{a_n}{a_{n-1}}=r=constant\\\\r-\text{common ratio}\\\\a_2=a_1r\\a_3=a_2r\\a_4=a_3r\\\vdots\\a_n=a_{n-1}r\\\\\text{next term is created from the previous one by multiplying it}\\\text{by the same number}[/tex]