Unit 5 Lesson 7 POLYNOMIALS AND PROPERTIES OF EXPONENTS UNIT TEST

Supposed you earned 7t - 1 dollars on Monday and 8t + 5 dollars on Tuesday. What were your total earnings? Simplify your answers.

A. -t + 4 dollars
B. -t - 6 dollars
C. 15t - 6 dollars
D. 15t + 4 dollars

The result is 332.5 degrees.

To convert an angle from radians to degrees, we use the conversion factor that 1 radian = 180/π degrees. In this case, the angle is 133π/72 radians.

So, to convert 133π/72 radians to degrees, we multiply by the conversion factor:

(133π/72) * (180/π) degrees.

Solving this gives us the angle in degrees:

133 * 180 / 72 = 332.5 degrees.

Answer:

(-5,-8)

Step-by-step explanation:

Given in the question an equation,

x² + 10x = - 17

x² + 10x + 17 = 0

here a = 1

        b = 10

        c = 17

Step 1

Find the value of x using the formula

x = -b/2a

x = -10/2

x = -5

Step 2

Find the value of y by plugging x = -5 in the equation above

(-5)² + 10(-5) + 17 = y

25 - 50 + 17 = y

y = -8

vertex (h,k) = (-5,-8)

Answer:

Cost of shipping and handling = $23.453

Step-by-step explanation:

Given

Price of Chair=$220.59

Tax=7.9%

Invoice Price=$261.47

In order to find the cost of shipping and handling, we have to subtract the cost of chair and the tax from the invoice price of chair.

To find the tax,

Tax amount=220.59*0.079

=$17.42661

Now,

Cost of shipping and handling=$261.47-$220.59-$17.42661

=$23.453 ..

Answer:

The cost of shipping and handling is $23.45 .

Step-by-step explanation:

As given

Business services ordered a chair that cost $220.59.

if the California sales tax rate is 7.9%

7.9% is written in the decimal form

[tex]= \frac{7.9}{100}[/tex]

= 0.079

Thus

Sales tax price = 0.079 × Cost of the chair

                         = 0.079 × $220.59

                         = $ 17.43 (Approx)

Thus

Cost of the  ordered chair with sales tax price = Cost of the chair + Sales tax price .

                                                                            = $ 220.59 + $17.43

                                                                            = $ 238.02

As given

Upon arrival they received an invoice for $261.47.

Thus

Cost of  shipping and handling = Cost mentioned in invoice - Cost of the  ordered chair with sales tax price.

Put all the values in the above

Cost of  shipping and handling = $261.47 - $238.02

                                                   = $ 23.45

Therefore the cost of shipping and handling is $23.45 .

A standard deck is composed of 52 cards, and contains 13 cards per suit. So, the theoretical probability of picking a card of any suit (and thus, in particular, a heart) is given by

[tex]P(\text{hearts}) = \dfrac{\text{\# of hearts in the deck}}{\text{\# of cards in the deck}} = \dfrac{13}{52} = \dfrac{1}{4}[/tex]

On the other hand, the experimental probability is (as the name suggests) the probability that we can deduce from our experiment: we picked 60 cards, and 12 of these were hearts. This means that it would seem to us that

[tex]P(\text{hearts}) = \dfrac{\text{\# of hearts we picked}}{\text{\# of cards we picked}} = \dfrac{12}{60} = \dfrac{1}{5}[/tex]

Answer:

"Mean = Mode"

Step-by-step explanation:

Let's find the mean, median, and mode of the number set.

-1, -1, 0, 1, 1, 1, 1, 2, 2, 2, 3

Mean:

this is the average. We add up all of the numbers and divide by the number of numbers (11).

Mean = [tex]\frac{-1+-1+0+1+1+1+1+2+2+2+3}{11}\\=\frac{11}{11}\\=1[/tex]

the mean is 1

Median:

this is the "middle" number when arranged from least to greatest. From 11 numbers, the 6th number is the middle one. We can see from the arrangement below, that "1" is the middle number.

the median is 1

Mode:

this is the number that occurs the "most". Looking at the numbers, "1" occurs 4 times, which is the most. So

mode is 1

From the 3 choices, the first choice is right "mean = mode".

Pablo amd his mom would take Eight minutes

Final answer:

Pablo and his mom would take 3 minutes to put up the tent working together, as they combine their work rates to determine their joint effectiveness.

Explanation:

To determine how many minutes Pablo and his mom would take to put up the tent working together, we can use the concept of combined work rates. Pablo can put up a tent in 12 minutes and his mom can do it in 4 minutes. We calculate their combined work rate by adding the reciprocal of each person's time because working together means their rates add up.

Pablo's rate is 1 tent per 12 minutes, or 1/12 tents per minute. His mom's rate is 1 tent per 4 minutes, or 1/4 tents per minute. Combined, their rate is (1/12) + (1/4) tents per minute.

First, find a common denominator for the fractions, which would be 12 in this case, so we get:

(1/12) + (3/12) = 4/12

Therefore, their combined rate is 4/12 or 1/3 tents per minute. To find out how long it would take them to set up one tent, we take the reciprocal of the combined rate. Thus, 1 tent would take them 1/(1/3) minutes, or simply 3 minutes.

Working together, Pablo and his mom can put up the tent in 3 minutes.

Answer:

A; The integer is 16

B; The integer has an absolute value of 16

D; The integer has an absolute value of 16

Answer:

b and d

Step-by-step explanation:

Answer:

y = 2x + 3

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

here m = 2

The line passes through the y- axis at (0, 3) ⇒ c = 3

y = 2x + 3 ← equation of line

Y=24 because 60/20 is 3. 3*8 is 24

Answer:

[tex]y=24[/tex]

Step-by-step explanation:

Cross multiply, isolate the variable, and divide by the coefficient to solve.

[tex]\frac{8}{20}=\frac{y}{60} \\ \\ 20y=480 \\ \\ y=24[/tex]

formula for slope y2-y1 over x2-x1 so the answer should be -1.1 over -6.3

Answer:

5

Step-by-step explanation:

we know that

A degree in a polynomial function is the greatest exponent of that equation

In this problem the greatest exponent is x^5

therefore

the degree of the polynomial is 5

Answer:

n= -0.7

Step-by-step explanation:

so first subtract 1.8 from 3.2 and then divide by -2

-2n = 1.4

n = -0.7

hope this helps!!

Answer: The answer is D) 126in3

Step-by-step explanation:

When you multiply 42 and 9 you get 378, so from there you divide your answer by 3 which gets you

126in

ANSWER

[tex]GCF=5x {y}^{2}

[/tex]

[tex]5x {y}^{2} (4+ 2y + 3{x}^2 )[/tex]

EXPLANATION

The given expression is

[tex]20x {y}^{2} + 10x {y}^{3} + 15 {x}^{3} {y}^{2} [/tex]

This can be rewritten as:

[tex] {2}^{2} \times 5x {y}^{2} + 2 \times 5x {y}^{3} + 3 \times 5{x}^{3} {y}^{2} [/tex]

The greatest common factor is the product of the least powers of the factors common to all the terms;

[tex]GCF=5x {y}^{2}

[/tex]

We factor to obtain;

[tex]5x {y}^{2} (4+ 2y + 3{x}^2 )[/tex]

Answer:

D.  [tex]y=\tan (x-\pi)+2.[/tex]

Step-by-step explanation:

Consider parent function [tex]y=\tan x.[/tex] The graph of this function is the same as the graph of the function [tex]y=\tan (x-\pi),[/tex] because the tangens has period of [tex]\pi.[/tex] (See first attached diagram)

Now, you can see that the graph of the function [tex]y=\tan (x-\pi)[/tex] is translated 2 units up. This translation gives you the function [tex]y=\tan (x-\pi)+2.[/tex] (see second attached diagram)

Answer: D

Step-by-step explanation: Apex

Answer:5-log^3 2

Step-by-step explanation:

Answer:

The answer is 5-log 3 2

Step-by-step explanation:

this is the answer on edge

you're welcome

Answer:

Tan (M) = m/p

Step-by-step explanation:

Tan (M) = Oppo. / Adj.

Tan (M) = m/p

The required value of the tanM for the given triangle is tanM = m/p.

These are the equation that contains trigonometric operators such as sin, cos.. etc. In algebraic operations.

The triangle is a geometric shape that includes 3 sides and the sum of the interior angle should not be greater than 180°

here,
For the given triangle,
TanM = perpendicular / base

From the figure  perpendicular =  m, base = p
Now,
tanM = m/p

Thus, the required value of the tanM for the given triangle is tanM = m/p.

Learn more about trigonometry equations here:

brainly.com/question/22624805

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The slope is found by the change in Y over the change in X.

Slope = (25 - -3) / (-36 - 12)

Slope = 28 / -48

Simplify:

Slope = -7/12

Answer:

12x^2

Step-by-step explanation:

The correct answer after simplification is  [tex]=64x^3+98x^2+48x+8[/tex]

To simplify (4x + 2)3, Use the identity,

[tex]\left(a+b\right)^3=a^3+3a^2b+3ab^2+b^3\\\\a = 4x \\b= 2[/tex]

Put the value of a nd b in the identity  and simplify,

[tex]\left(4x+2\right)^3=\left(4x\right)^3+3\left(4x\right)^2\cdot \:2+3\cdot \:4x\cdot \:2^2+2^3\\\\[/tex]

Perform elementary multiplication and addition,

[tex]=64x^3+98x^2+48x+8[/tex]

The correct answer is   [tex]=64x^3+98x^2+48x+8[/tex]

Learn more about  Polynomial identities here"

https://brainly.com/question/29634517

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Answer: 0.122449

Step-by-step explanation:

If one side is 1/7, first convert that into a decimal, which is 0.14286. Than square that 0.14286 x 0.14286= 0.020408. That’s the area of one square. Now multiply that by 6 (the number of sides in a cube) and you get 0.122449.

if you mean 60 × 2 it will be 120

Answer:

12

Step-by-step explanation:

just use google or a calculater or a phone

Hello, let's solve this step by step.

You're asking, 2s=7+s and to solve for S.

Now first, simplify both sides of the equation.

                              2s=s+7

Then, subtract s from both sides.

                              2s−s=s+7−s

Simplify to get 7.

Therefore, S = 7.

Answer:

Step-by-step explanation:

Section II would be correct

ANSWER

ii

EXPLANATION

The region that represents A intersection B is region ii.

This is the region that contains elements that belongs to A or B or both.

From the Venn Diagram,

[tex]A\cap B = ii[/tex]

The correct choice is A.

Answer:

y = [tex]\frac{x+4}{-2}[/tex] or [tex]\frac{-x}{2}[/tex] -2

Step-by-step explanation:

This question is asking to find the inverse of the equation therefore you will have to interchange x and y

ie : x= -2y-4

THEN solve for y ( perform opposite operation )

x = -2y -4

(take -4 to the other side ) [it will be a +4 ]

x+ 4 = -2y

NOW take -2 to the other side [ you will divide everything on the left by -2]

[tex]\frac{x+4}{-2}[/tex] ( this could be your final answer )

OR

simplify

( NOT complusory)

[tex]\frac{-x}{2} - 2[/tex]

Final answer:

To find the inverse function of f(x) = -2x - 4, switch x and y and solve for the new y to get the inverse function f¹(x) = -0.5x - 2.

Explanation:

The question asks to find the inverse function of f(x) = -2x - 4. To find the inverse, we switch the roles of x and y in the equation and solve for the new y. Here are the steps:

Write the function as y = -2x - 4.

Swap x and y to get x = -2y - 4.

Solve for y to find the inverse function. Add 4 to both sides to get x + 4 = -2y, and then divide by -2 to find y = -0.5x - 2.

Therefore, the inverse function, f⁻¹(x), is y = -0.5x - 2.

Answer:

[tex]\large\boxed{B.\ w=-\dfrac{4}{3},\ w=\dfrac{5}{2}}[/tex]

Step-by-step explanation:

[tex]6w^2-7w-20=0\\\\6w^2-15w+8w-20=0\\\\3w(2w-5)+4(2w-5)=0\\\\(2w-5)(3w+4)=0\iff2w-5=0\ \vee\ 3w+4=0\\\\2w-5=0\qquad\text{add 5 to both sides}\\2w=5\qquad\text{divide both sides by 2}\\\boxed{w=\dfrac{5}{2}}\\\\3w+4=0\qquad\text{subtract 4 from both sides}\\3w=-4\qquad\text{divide both sides by 3}\\\boxed{w=-\dfrac{4}{3}}[/tex]

Answer:

538-8=530

530/10=53

your answer is 53 students

Step-by-step explanation:

Answer:

[tex]\large\boxed{3a^n(a^n+a^{n-1})=3a^{2n}+3a^{2n-1}}[/tex]

Step-by-step explanation:

[tex]3a^n(a^n+a^{n-1})\qquad\text{use the distributive property}\ a(b+c)=ab+ac\\\\=(3a^n)(a^n)+(3a^n)(a^{n-1})\qquad\text{use}\ x^n\cdot x^m=x^{n+m}\\\\=3a^{n+n}+3a^{n+n-1}\\\\=3a^{2n}+3a^{2n-1}[/tex]

Answer: C) y ≥ 3x - 2;  [tex]y\leq \dfrac{1}{2}x+3[/tex]

Step-by-step explanation:

Blue line:

y-intercept (b) = -2

slope (m) is 3 up, 1 right = 3

shading is above

⇒ y ≥ 3x - 2

Yellow line:

y-intercept (b) = 3

slope (m) is 1 up, 2 right = [tex]\dfrac{1}{2}[/tex]

shading is below

[tex]\implies \bold{y\leq \dfrac{1}{2}x+3}[/tex]

Answer:

D???

Step-by-step explanation:

D????

stand·ard de·vi·a·tion

/ˈstandərd ˌdēvēˈāSHən/

nounSTATISTICS

a quantity calculated to indicate the extent of deviation for a group as a whole.

[tex]\bf ~\hspace{7em}\textit{negative exponents} \\\\ a^{-n} \implies \cfrac{1}{a^n} ~\hspace{4.5em} a^n\implies \cfrac{1}{a^{-n}} ~\hspace{4.5em} \cfrac{a^n}{a^m}\implies a^na^{-m}\implies a^{n-m} \\\\[-0.35em] \rule{34em}{0.25pt}[/tex]

[tex]\bf \cfrac{(a^{-3}b^{-1}c^{-5})^{-2}}{(a^5b^4c^2)^5}\implies \stackrel{\textit{distributing the exponent}}{\cfrac{(a^6b^2c^{10})}{(a^{25}b^{20}c^{10})}}\implies \cfrac{c^{10}c^{-10}}{a^{25}a^{-6}b^{20}b^{-2}} \\\\\\ \cfrac{c^{10-10}}{a^{25-6}b^{20-2}}\implies \cfrac{c^0}{a^{19}b^{18}}\implies \cfrac{1}{a^{19}b^{18}}[/tex]