Mathematics High School

Give the name (monomial,
binomial, trinomial etc.) and
degree of the polynomial.
V29x6

Answers

Answer 1

Answer:

x 3 -2x

Step-by-step explanation:

Related Questions

How do I do these problems?

Answers

Answer:

12) x= 21

13) x = 1

14) x = 9

15) x = 1

Step-by-step explanation:

Here, we are being asked to solve the given equations and check our work.

To check the work, we need to substitute the found value of x into the equation to check if it makes a true and correct statement.

12) Solve for x:

[tex]\sf 12)\ \dfrac{2}{3}x + 2 = 16\ \textsf{[subtract 2 from both sides]}\\\\\implies \dfrac{2}{3}x + 2 - 2 = 16 - 2\\\\\implies \dfrac{2}{3}x = 14\ \textsf{[multiply both sides by 3]}\\\\\implies 3\left(\dfrac{2}{3}\right)x = 14(3)\\\\\implies 2x = 42\ \textsf{[divide both sides by 2]}\\\\\implies \dfrac{2x}{2}=\dfrac{42}{2}\\\\\implies \boxed{\sf x = 21}[/tex]

Check your work:

[tex]\sf \dfrac{2}{3}x + 2 = 16\ \textsf{[substitute 21 for the value of x]}\\\\\implies \dfrac{2}{3}(21) + 2 = 16\ \textsf{[multiply]}\\\\\implies \dfrac{42}{3} + 2 = 16\ \textsf{[divide]}\\\\\implies 14 + 2 = 16\ \textsf{[add]}\\\\\implies 16 = 16\ \checkmark \textsf{[true statement]}[/tex]

13) Solve for x:

[tex]\sf 13)\ \dfrac{x}{2} + \dfrac{x}{3} = \dfrac{5}{6}\ \textsf{[multiply both sides by 6 - LCM of 2, 3, and 6]}\\\\\implies 6\left(\dfrac{x}{2} + \dfrac{x}{3}\right) = 6\left(\dfrac{5}{6}\right)\ \textsf{[multiply]}\\\\\implies \left(\dfrac{6x}{2} + \dfrac{6x}{3}\right) = \dfrac{30}{6}\ \textsf{[divide]}\\\\\implies 3x+2x=5\ \textsf{[combine like terms]}\\\\\implies 5x = 5\ \textsf{[divide both sides by 5]}\\\\\implies \dfrac{5x}{5}=\dfrac{5}{5}\\\\\implies \boxed{\sf x = 1}[/tex]

Check your work:

[tex]\sf \dfrac{x}{2} + \dfrac{x}{3} = \dfrac{5}{6}\ \textsf{[substitute 1 for the value of x]}\\\\\implies \dfrac{1}{2} + \dfrac{1}{3} = \dfrac{5}{6}\ \textsf{[rewrite the fractions with a common denominator of 6]}\\\\\implies \dfrac{1\times3}{2\times3} + \dfrac{1\times2}{3\times2} = \dfrac{5}{6}\ \textsf{[multiply]}\\\\\implies \dfrac{3}{6} + \dfrac{2}{6} = \dfrac{5}{6}\ \textsf{[add]}\\\\\implies \dfrac{5}{6} = \dfrac{5}{6}\ \checkmark \ \textsf{[true statement]}[/tex]

14) Solve for x:

[tex]\sf 14)\ \dfrac{x-1}{6} - \dfrac{x+1}{8} = \dfrac{1}{12}\ \textsf{[multiply both sides by 24 - LCM of 6, 8, and 24]}\\\\\implies 24\left(\dfrac{x-1}{6} - \dfrac{x+1}{8}\right) = 24\left(\dfrac{1}{12}\right)\ \textsf{[multiply]}\\\\\implies \left(\dfrac{24x-24}{6}\right) - \left(\dfrac{24x+24}{8}\right) = \dfrac{24}{12}\ \textsf{[divide]}\\\\[/tex]

[tex]\sf\\\implies (4x-4)-(3x+3)=2\ \textsf{[distribute the negative sign]}\\\\\implies (4x-4)+(-3x-3)=2\ \textsf{[combine like terms]}\\\\\implies x - 7 = 2\ \textsf{[add 7 to both sides]}\\\\\implies x - 7 + 7 = 2 + 7\\\\\implies \boxed{\sf x = 9}[/tex]

Check your work:

[tex]\sf 14)\ \dfrac{x-1}{6} - \dfrac{x+1}{8} = \dfrac{1}{12}\ \textsf{[substitute 9 for the value of x]}\\\\\implies \dfrac{9-1}{6} - \dfrac{9+1}{8} = \dfrac{1}{12}\ \textsf{[simplify]}\\\\\implies \dfrac{8}{6} - \dfrac{10}{8} = \dfrac{1}{12}\ \textsf{[rewrite the fractions with a common denominator of 24]}\\\\\implies \dfrac{8\times4}{6\times4} - \dfrac{10\times3}{8\times3} = \dfrac{1\times2}{12\times2}\ \textsf{[simplify]}\\\\[/tex]

[tex]\sf\\\implies \dfrac{32}{24}-\dfrac{30}{24}=\dfrac{2}{24}\ \textsf{[subtract]}\\\\\implies \dfrac{2}{24}=\dfrac{2}{24}\ \textsf{[reduce]}\\\\\implies \dfrac{1}{12}=\dfrac{1}{12}\ \checkmark\ \textsf{[true statement]}[/tex]

15) Solve for x:

[tex]\sf \dfrac{1}{4}+\dfrac{x+1}{8}=\dfrac{1}{2}\ \textsf{[multiply both sides by 8 - LCM of 2, 4, and 8]}\\\\\implies 8\left(\dfrac{1}{4}+\dfrac{x+1}{8}\right)=8\left(\dfrac{1}{2}\right)\textsf{[multiply]}\\\\\implies \left(\dfrac{8}{4}+\dfrac{8x+8}{8}\right)=\dfrac{8}{2}\ \textsf{[divide]}\\\\\implies 2 + x + 1 = 4\ \textsf{[add]}\\\\\implies x + 3 = 4\ \textsf{[subtract 3 from both sides]}\\\\\implies x + 3 - 3 = 4 - 3\\\\\implies \boxed{\sf x = 1}[/tex]

Check your work:

[tex]\sf \dfrac{1}{4}+\dfrac{x+1}{8}=\dfrac{1}{2}\ \textsf{[substitute 1 for the value of x]}\\\\\implies \left(\dfrac{1}{4}+\dfrac{1+1}{8}\right)=\dfrac{1}{2}\ \textsf{[simplify]}\\\\\implies \left(\dfrac{1}{4}+\dfrac{2}{8}\right)=\dfrac{1}{2}\ \textsf{[reduce]}\\\\\implies \left(\dfrac{1}{4}+\dfrac{1}{4}\right)=\dfrac{1}{2}\ \textsf{[add]}\\\\\implies \dfrac{2}{4}=\dfrac{1}{2}\ \textsf{[reduce]}\\\\\implies \dfrac{1}{2}=\dfrac{1}{2}\ \checkmark\ \textsf{[true statement]}[/tex]

original price $18 and percent of discount is 65% what is the sale price

Answers

Answer:

$6.3

Step-by-step explanation:

Original price = $18

Percentage Discount = 65%

Discount = 18*65% = 18*0.65 = $11.7

Sale Price = Original price - Discount

= $18 - $11.7

= $6.3

One side of Dylan's
square bedroom is 10
feet long
What is the
total perimeter of
Dylan's bedroom?

Answers

Answer:

Step-by-step explanation:

10+10+10+10 = 40

A square has 4 sides which is why you add 10, 4 times.

What is the equation of the line parallel to the line with equation y=2/3x +1 and passing through the point (6,-2)?

Answers

Step-by-step explanation:

y= (-2/3) x-6 is parallel to y= (-2/3)x +4 goes through the point (3,-8)

Examine the following piecewise function.

Which statements are true?
Select all that apply.

1.The function is increasing over the interval 2≤x≤3.

2.The function is increasing over the interval −2≤x≤2.

3.The function is increasing over the interval −8≤x≤−2.

4.The function is decreasing over the interval 3≤x≤7.

5.The function is constant over the interval −2≤x≤2.

Answers

A piecewise function is a function that's simply built from pieces of different functions over several intervals.

What is a piecewise function?

Your information is incomplete as the function isn't given. Therefore, an overview will be given. It should be noted that a piecewise function simply means a function that's defined by multiple sub functions.

In this case, each sub-function applies to different interval in the domain as it's way of expressing the function.

Learn more about piecewise function on:

https://brainly.com/question/17966003

PLEASE HELP ASAP!!
A savings account starts with $420. After 6 years of continuously compounding at an interest rate, r, the account has a balance of $1,300. What is the interest rate percentage (do not type % it is already there)? Round answer to the nearest hundredth.

Answers

Answer:

18.83% (nearest hundredth)

Step-by-step explanation:

Continuous Compounding Formula

[tex]\sf A=P(e)^{rt}[/tex]

where:

A = amountP = principal (initial amount)e = mathematical constant ≈ 2.7183r = interest rate (in decimal form)t = time in years

Given:

A = $1,300P = $420t = 6 years

Substituting given values into the formula:

[tex]\sf \implies 1300=420(e)^{6r}[/tex]

[tex]\sf \implies \dfrac{1300}{420}=e^{6r}[/tex]

[tex]\sf \implies e^{6r}=\dfrac{65}{21}[/tex]

Taking natural logs of both sides:

[tex]\sf \implies \ln e^{6r}=\ln \dfrac{65}{21}[/tex]

[tex]\sf \implies 6r\ln e=\ln \dfrac{65}{21}[/tex]

[tex]\sf \implies 6r(1)=\ln \dfrac{65}{21}[/tex]

[tex]\sf \implies 6r=\ln \dfrac{65}{21}[/tex]

[tex]\sf \implies r=\dfrac16 \ln \dfrac{65}{21}[/tex]

[tex]\sf \implies r=0.1883108054...[/tex]

Therefore, the interest rate is 18.83% (nearest hundredth)

Which of the following is the equation of the circle shown below?

Answers

Answer: A

Step-by-step explanation:

The radius of the circle is 7, and the center is at (6,-2), so if we substitute into the formula for the general equation of a circle, we get answer choice A.

Select all the expressions that describe the area of this rectangle.

Answers

Answer:

a, c, d

So, let's use Trigonometry here :

[tex]\qquad \sf \dashrightarrow \: \cos(45) = \dfrac{10}{x} [/tex]

[tex]\qquad \sf \dashrightarrow \: \dfrac{1}{ \sqrt{2} } = \dfrac{10}{x} [/tex]

[tex]\qquad \sf \dashrightarrow \:x = 10 \sqrt{2} [/tex]

Therefore, the value of x is 10√2 units

If f(3) = 3^x and g(x) = 7^x then the graph of g(x) will be — the graph of f(x) when x<0.

Answers

Using the given exponential functions, it is found that the graph of g(x) will be less than than the graph of f(x) when x < 0.

What are the exponential functions?

The given exponential functions, f(x) and g(x), are respectively given by:

[tex]f(x) = 3^x[/tex][tex]g(x) = 7^x[/tex]

When x < 0, one possible value is x = -1, hence evaluating the functions at these values:

[tex]f(-1) = 3^{-1} = \frac{1}{3}[/tex]

[tex]g(-1) = 7^{-1} = \frac{1}{7}[/tex]

[tex]\frac{1}{3} > \frac{1}{7}[/tex], hence, the graph of g(x) will be less than than the graph of f(x) when x < 0.

More can be learned about exponential functions at https://brainly.com/question/25537936

What is the measure of the third angle in a triangle if the sum of the other two angle measures is 110°?

Answers

Step-by-step explanation:

the third angle in a triangle= 70

Moesha needs $79 for a class trip.
She alreadv has s22 and she can earn
the rest by babysitting for 8 hours.
If h represents her hourly earnings,
which of the following equations can
be solved to find Moesha's hourly
earnings? Select all that apply. Answer : 79=22+8H

Answers

Answer:

79-22=57.

Your answer is correct. You also have to fill in the second one (B)

Answer:

79-22=57

Step-by-step explanation:

I can explain on phone

Round 15.209 to the nearest hundreth
A. 15.21
B. 15.20
C. 15.2
D. 16

Answers

Answer:

A.15.21

Step-by-step explanation:

In rounding of numbers when the next number is greater than 5 u round it on next number by adding one

help its for calculus

Answers

Answer:

the first one

Step-by-step explanation:

Answer:

its 1/sqrt{5}+2

What is the result when the number 51 is decreased by 75%?

Answers

Answer:

12.75

Step-by-step explanation:

12.75

Answers

Answer:

11.5

Step-by-step explanation:

10 + a / 4 if a = 6

10 + 6 / 4

10 + 1.5

11.5

I hope this helps! Have a lovely day!! :)

Answer:

23/2 or 11.5

Step-by-step explanation:

Simplify 6/4 --> 3/2

Convert 10 into a fraction --> 20/2

20/2 + 3/2 = 23/2

A cell phone company charges $20 for a customer to open a new account and $35for each month of phone service.

Write a linear function to represent the total cost,y,a new customer would pay for x months of service

Answers

y=20+35x because the 20 is a 1 time thing and 35x because 35 is charged each month

Triangle XYZ is translated by the rule (x + 1, y − 1) and then dilated by a scale factor of 4 centered at the origin. Which statement describes the properties of triangles XYZ and X''Y''Z'' after the transformations?

A. Y and ∠Y'' are congruent after the translation, but not after the dilation.

B. ∠Y and ∠Y'' are congruent after the dilation, but not after the translation.

C. segment YZ and segment Y double prime Z double prime are proportional after the translation, but not after the dilation.

D. segment YZ and segment Y double prime Z double prime are proportional after the dilation and congruent after the translation.

Answers

The statement that described the triangle properties is that the segment YZ and segment Y"Z" should be proportional when the dilation is done and it should be congruent when the translation should be done.

Given that,

There is the rule i.e. (x +1, y - 1) and it should be dilated by a scale factor of 4 centered at the origin.

Based on the above information,

The figure should be proportional as the angle and the points should be the same. And, when the translation is done the image should be congruent to the pre-image

Therefore we can conclude that option d is correct.

Learn more: https://brainly.com/question/25063346

Hussain and sam are sharing money in the ratio of 2:5 sam got 70p how much money were they sharing in total

Answers

Answer:

if 5=70

2=?

cross multiply=28

add 70+28=98

Step-by-step explanation:

A metal with a specific heat of 0.780 J/g oC requires 940 J of heat to raise the temperature (the change in temperature) by 15 oC. What is the mass of the metal?
SOMEONE HELP PLEASE GIVING BRIANLEST THANK YOU

Answers

Step-by-step explanation:

Q = msdt

or, 940 = m* 0.780* 15

or, 940 = 11.7m

or, 940/11.7 = m

m = 80.341

Therefore the mass of the metal is 80.341g.

What is the answer elmo wants it

Answers

[tex]\bold{Heya!}[/tex]

→ Answer :-

[tex]\sf{= 10}[/tex]

→ EXPLANATION :-

Convert mixed numbers to imporved fractions: [tex]\sf{3 \frac{3}{4} = \frac{15}{4}[/tex]

[tex]\sf{= \frac{15}{4}[/tex] ÷ [tex]\sf{\frac{3}{8}[/tex]

Apply the fraction rule: [tex]\sf{\frac{a}{b}[/tex] ÷ [tex]\sf{\frac{c}{d} = \frac{a}{b} \: x \: \frac{d}c}[/tex]

[tex]\sf{= \frac{15}{4} \: x \: \frac{8}{3}[/tex]

Multiply fractions: [tex]\sf{\frac{a}{b} \: x \: \frac{c}{d} = \frac{a \: x \: c}{b \: x \: d}[/tex]

[tex]\sf{= \frac{15 \: x \: 8}{4 \: x \: 3}[/tex]

Multiply the numbers: [tex]\sf{ 4 \: x \: 3 = 12}[/tex]

[tex]\sf{= \frac{110}{12}[/tex]

Divide the numbers [tex]\sf{\frac{120}{12} = 10[/tex]

[tex]\sf{= 10}[/tex]

Hopefully This Helps! ~

#LearnWithBrainly

[tex]\underline{Answer :}[/tex]

Jaceysan ~

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Give the name (monomial, binomial, trinomial etc.) and degree of the polynomial. V29x6

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Give the name (monomial,
binomial, trinomial etc.) and
degree of the polynomial.
V29x6