Answer:
(4;0)
Step-by-step explanation:
y=0
2x-3×0=8
2x=8
x=4
Multiply the polynomials: (2x^3−4x)(3x^2+2)
6x^5−16x^3+8x
x^5+18x^3−6x
5x^6+11x^3+8x
6x^5−8x^3−8x
Which has a positive value in Quadrant IV?
The height of a parallelogram is one-third its base. If the area of the parallelogram is 363 square inches, find its base and height. (Draw a diagram.)
Answer:
Height = 11 inches
Base = 33 inches
Step-by-step explanation:
In this question, we are asked to find the height and base of a parallelogram given the area of the parallelogram.
From the question, we are told that height is 1/3 of base. This means that base is 3 times the height
So if we represent the height with variable h, then the base is 3h
Mathematically the area of a parallelogram can be calculated by the formula
A = bh
Thus ,
363 = h * 3h
3h^2 = 363
divide through by 3
h^2 = 121
h = √121
h = 11 inches
since b = 3h , then b = 3 * 11 = 33 inches
Hich statement about a quadrilateral is true? A rectangle is a trapezoid. All rhombuses have four right angles. A trapezoid is a rhombus. A square is a rhombus.
Answer:
A square is a rhombus.
Step-by-step explanation:
A square is a geometrical figure which has four sides that are congruent. A rhombus is also a geometrical figure in which the four sides are congruent. Hence, it is true that a square is a rhombus. The difference between the two is that all the angles of a square are a right angle, while in rhombus the opposite angles are congruent.
Derive x and y values from given equations solve for x and y. 6x-2y=8 -6x+5y=7
Answer:
6x -2y = 8
-6x+5y = 7
3y = 15
y = 5
6x - 2(5) = 8
6x - 10 = 8
6x = 18
x = 3
(3, 5)
Step-by-step explanation:
PLEASE HELP I"M BEING TIMED!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Which expression is equivalent to log Subscript 12 Baseline StartFraction x Superscript 4 Baseline StartRoot x cubed minus 2 EndRoot Over (x + 1) Superscript 5 Baseline EndFraction?
4 log Subscript 12 Baseline x + one-half log Subscript 12 Baseline (x cubed minus 2) minus 5 log Subscript 12 Baseline (x times 1)
4 log Subscript 12 Baseline x + one-half log Subscript 12 Baseline StartFraction x cubed Over 2 EndFraction minus 5 log Subscript 12 Baseline 1
log Subscript 12 Baseline 4 x + one-half log Subscript 12 Baseline (x cubed minus 2) minus 5 log Subscript 12 Baseline (x) + 1
4 log Subscript 12 Baseline x + one-half log Subscript 12 Baseline (x cubed minus 2) minus 5 log Subscript 12 Baseline (x + 1)
Answer:
[tex]D)4log_{12}x+\frac{1}{2} log_{12}(x^3-2)-5log_{12}(x+1)[/tex]
(4 log Subscript 12 Baseline x + one-half log Subscript 12 Baseline (x cubed minus 2) minus 5 log Subscript 12 Baseline (x + 1)
Step-by-step explanation:
Given the expression:
[tex]log_{12}\dfrac{x^4\sqrt{x^3-2} }{(x+1)^5}[/tex]
first apply the division law of logarithm:
[tex]log_{a}x/y=log_{a}x-log_{a}y[/tex]
[tex]log_{12}\dfrac{x^4\sqrt{x^3-2} }{(x+1)^5}=log_{12}x^4\sqrt{x^3-2}-log_{12}(x+1)^5[/tex]
Next, by addition law:[tex]log_{a}xy=log_{a}x+log_{a}y[/tex]
[tex]=log_{12}x^4+log_{12}\sqrt{x^3-2}-log_{12}(x+1)^5\\\\Log a^m=mLog a, Log \sqrt{x}=log x^{1/2}\\\\ =4log_{12}x+log_{12}(x^3-2)^{1/2}-5log_{12}(x+1)\\\\=4log_{12}x+\frac{1}{2} log_{12}(x^3-2)-5log_{12}(x+1)[/tex]
Answer:
Its D on edge
Step-by-step explanation:
The function f(x) and g(x) are graphed below. If g(x)=f(x+k) what is the value of k?
Answer:
The value of k = -6
Step-by-step explanation:
First lets concentrate at the most obvious point, the top. Top(f) = ( 4, 1) and Top(g) = ( -2, 1).
The translation factor k ( which is called a vector ), which accounts for the trandlation of any point of f(x) --> g(x).
To translate the x coordinate of the top from 4 to -2, you have to subtract 6 of it.
Because 4 -6 = -2
Hence the factor k must be -6.
The value of k = -6
70 % of 90 please give all right answers this is the last question of this assignment and i dont want to fail
what is the slope of the line below? If necessary, enter your answer as a fraction in lowest terms, using the slash as the fraction bar. Do not enter your answer as a decimal number or an equation. (3, 9) (1, 1)
Answer:
The slope of the graph is equal to 4
Step-by-step explanation:
When you do y2-y1 divided by x2-x1 you get the fraction 8/2 however when simplified you get 4, 8/2=4
Answer:
The slope is 4
Step-by-step explanation:
Why? Because the point (3,9) is labeled as x1 and y1 and the point (1,1) is labeled as x2 and y2, which means that the equation is set up as 1-9 / 1-3, which equals -8 / -2 , which turns out to be 4 when it is simplified. :)
Which can be used to describe an equivalent expression for (s Superscript 6 Baseline) Superscript negative 3? Adding the exponents will create an equivalent expression. Dividing the exponents will create an equivalent expression. There are three factors of StartFraction 1 Over s Superscript 6 Baseline EndFraction. There are three factors of StartFraction 1 Over s Superscript 3 Baseline EndFraction.
Answer:
D
Step-by-step explanation:
i took the test
The equivalent expressions of [tex](x^{6} )^{-3}[/tex] will be [tex](x )^{-18}[/tex].
What are equivalent expressions?Those expressions who might look different but their simplified forms are same expressions are called equivalent expressions.
To derive the equivalent expressions of some expression, we can either make it look more complex or simple. Usually, we simplify it.
The given expression is;
[tex](x^{6} )^{-3}[/tex]
Required to Determine the equivalent expression.
First, we need to evaluate the expression in the bracket:
Apply the following law of indices:
[tex](x^a)^b = x ^{ab}[/tex]
So:
[tex](x^{6} )^{-3}[/tex]
becomes
[tex](x )^{6 \times -3}\\\\[/tex]
[tex](x )^{-18}[/tex]
Hence: the equivalent expressions of [tex](x^{6} )^{-3}[/tex] will be [tex](x )^{-18}[/tex].
Learn more about expression here;
https://brainly.com/question/14083225
#SPJ5
1.The two angles 21 degrees and (2x+29)degrees are SUPPLEMENTARY ANGLES. Solve for x. SHOW YOUR WORK.
And 2.The two angles (x-36)degrees and 73 degrees SUPPLEMENTARY ANGLES. Solve for x. SHOW YOUR WORK.
PLZZ ANSWER RIGHT AWAY. I'M GIVING 15 POINTS PLZZ HURRY.
Answer:
See below in bold.
Step-by-step explanation:
1. 21 + 2x + 29 = 180 (as supplementary angles sum to 180 degrees).
2x + 50 = 180
2x = 130
x = 65 degrees.
2. x - 36 + 73 = 180
x = 180 + 36 - 73
x = 143 degrees.
evaluate the expression -3 times 0.4 to the power of 2 + -1.1 to the power of 3?
Answer:
idk i have the same question
Step-by-step explanation:
out of 17,21,14,17,12,15,16 what is the mean?
Answer:
mean is 16
Step-by-step explanation:
to find the mean of the data set u add up all the numbers and then u see how many number there are in total and u divided the solution of the sum and divided it by the total number of numbers.
17+21+14+17+12+15+16 = 112
then u see how many number there are and there are 7
112/7= 16
Jason runs 440 yards in 75 seconds.at this rate,how many minutes does it take him to run a mile
Answer:
5 minutes
Step-by-step explanation:
Do a proportion
440/75= 1760/x
cross multiply
440x=1760(75)
simplify
132000/440
how many grams each of a 10% salt solution and a 5% salt solution must be mixed in order to obtain 400g of an 8% solution?
I dont want to give you the exact equation so u wont be copying- here is an example.
let x=grams of salt that you already have
let y=grams of salt that need to be added
let z=total amount of salt in the solution after adding salt
We know that salt makes up 25% of the 400g solution, and that 25% can also be written as .25. Thus, we can write an equation to determine x's value:
x=.25*400g
x=100g
Therefore, there are 100 grams of salt already in the solution.
Now that we've determined x's value, we'll bring z into the equation. There are two ways to calculate z. z is equivalent to the sum of x and y. Remember, x is equal to 100 grams. So, z's equation is as follows:
z=100g+y
The other way to calculate z is as a percentage of the final solution. As the question states, we want the final solution to have a salt content of 40% (which we can write as .40). The final amount of solution can be written as below:
400g+y=total amount of solution after adding salt.
This is because we are adding y (the amount of salt needed to bring the salt content to 40 percent)to the amount of solution which we already have.
Therefore, the second way to express z is below:
z=.40*(400g+y)
After we have two equations for z, we can set them equal to each other as follows:
100g+y=.40*(400g+y)
We then can distribute the .40 over the parenthesis.
100g+y=160g+.40y
And then we can subtract 100 grams from both sides of the equation.
y=60g+.40y
Next, we subtract .40 y from both sides of the equation to get y on one side.
.6y=60g
Finally, we can divide both sides by .6 to isolate y.
y=100g
Therefore, you must add 100g of salt to the solution to make it 40 percent salt.
DID I DO IT RIGHTT?? pls tell me
pays $0.72\$0.72 $0.72 dollar sign, 0, point, 72 in sales tax. The sales tax rate is 6%6\% 6% 6, percent . What is the original price of the bracelet, before tax?
Complete Question
Casey buys a bracelet. She pays for the bracelet and pays $0.72 in sales tax. The sales tax rate is 6%. What is the original price of the bracelet, before tax?
Answer:
$12
Step-by-step explanation:
Let the original price of the bracelet before tax =x
Tax rate =6%
That means:
6% of x =$0.72
0.06x=0.72
Divide both sides by 0.06
x=$12
The original price of the bracelet, before tax is $12.
What is another way to represent 3%?
Answer: 0.03
Step-by-step explanation:
3% in decimal form is 0.03
Answer:
The decimal form, which would be 0.03
People would say the decimal will be 0.3, but that is 30%, so the decimal would be 0.03.
Need question help here!
Answer:
C
Step-by-step explanation:
There is a 20% chance of rain on Tuesday and a 30% chance of rain on Friday. What percent chance will it rain both Tuesday and Friday?
Answer:
There is a 40% chance that it will rain Tuesday and Friday.
Step-by-step explanation:
This is a good way to check you've done it correctly. Rains on Tuesday + doesn't rain on Friday: 40%⋅50%=20%
Answer:
60 percent chance
Step-by-step explanation:
First you multiply the two together. Then move the decimal to get a percent! HOpe this helps
One telephone company charges $16.95 per month and $0.05 per minute for local calls. Another company charges $22.95 per month and $0.02 per minute for local calls. For what number of minutes of local calls per month is the cost of the plans the same?
Answer:.03x=6
Step-by-step explanation x=200 minutes
Answer:
200 minutes
Step-by-step explanation:
To find this, you should first set up an equation. Since you are trying to find the point where both plans cost the same, set them equal to each other. Let x be the cost for both. Write the equation:
[tex]16.95+0.05x=22.95+0.02x[/tex]
We place the x with the cost per minute because this is what you are trying to find. We add the cost per month.
Solve for x. Subtract 16.95 from both sides and simplify:
[tex]16.95-16.95+0.05x=22.95-16.95+0.02x\\0.05x=6+0.02x[/tex]
Subtract 0.02x from both sides:
[tex]0.05x-0.02x=6+0.02x-0.02x\\0.03x=6[/tex]
Divide both sides by 0.03:
[tex]\frac{0.03x}{0.03}=\frac{6}{0.03}\\ x=200[/tex]
At 200 minutes, the cost for both plans would be the same.
Cal's go cart has a gas tank with the dimensions shown below. He uses a gas can that holds 111 gallon of gas, to fill the go cart tank. 111 gallon = 231 inches^3
Awnser
8 gallons of cans
How to convert a decimal to a fraction
Step-by-step explanation:
Step 1: Write down the decimal divided by 1, like this: decimal 1.
Step 2: Multiply both top and bottom by 10 for every number after the decimal point. (For example, if there are two numbers after the decimal point, then use 100, if there are three then use 1000, etc.)
Step 3: Simplify (or reduce) the fraction
hope it helps
63x−8≤23 OR −4x+26≥6
Answer:
63x-8<23
63x<23+8
63x < 31
63. 63
x < 0.492
a trapezoid has bases that measure 9cm and 5 cm. the height of the figure is 4cm. what is the area of the trapezoid
Answer:
28cm^2
Step-by-step explanation:
The area of a trapezoid is the bases added divided by two times the height.
(9+5)/2*4=7*4=28
28cm^2
laura goes shopping she spends one fourth of her money on a pair of shorts and one third of her remaining money on a belt if laura has $42 dollars left after these two purchases how much money did she have when she started shopping?
Answer:
84 dollars
Step-by-step explanation:
use x to represent the amount of money Laura had when she started shopping.
use y to represent the amount of money she had left after buying a pair of shorts.
You can create these two equations:
3/4x=y
2/3x=42
now, subsitute the value of y into the second equation.
2/3(3/4x)=42
1/2x=42
x=84
16x^4y^2(9x^3y^4) fully simply
Answer:
[tex]=144x^7y^6[/tex]
Step-by-step explanation:
[tex]16x^4y^2\left(9x^3y^4\right)\\\mathrm{Apply\:exponent\:rule}:\quad \:a^b\cdot \:a^c=a^{b+c}\\x^4x^3=\:x^{4+3}\\=16y^2\cdot \:9x^{4+3}y^4\\\mathrm{Add\:the\:numbers:}\:4+3=7\\=16y^2\cdot \:9x^7y^4\\\mathrm{Apply\:exponent\:rule}:\quad \:a^b\cdot \:a^c=a^{b+c}\\y^2y^4=\:y^{2+4}\\=16\cdot \:9x^7y^{2+4}\\\mathrm{Add\:the\:numbers:}\:2+4=6\\=16\cdot \:9x^7y^6\\\mathrm{Multiply\:the\:numbers:}\:16\cdot \:9=144\\=144x^7y^6[/tex]
Answer:
Step-by-step explanation:
2 x(4−3xy^2)/y
Siobhan has two babysitting job offers for the same weekend.The snachez family would like her to babysit from Friday at 6:00 pm through Saturday at 9:30 am.They will pay her $150.The martins would like her to babysit friday night from 5:00 pm to 11:00 pm and will pay her $15 per hour.Wich family is offering to pay her more per hour?Wich is offering to pay her more overall?
Answer:
The Martin family pays $5.33 more per hour
The Sanchez family pays $60 more in total
Step-by-step explanation:
The Sanchez family want her to babysit for 15.5 hours for a total of $150.
To find out the hourly rate you do $150/15.5 which is $9.67 per hour.
The Martin family wants her to babysit for a total of 6 hours for $15 an hour.
To find out the total you do $15 x 6 which is $90.
Help me with my assignment if u are brilliant
Answer:
0° and 90°
Step-by-step explanation:
Bearing is simply the angle, clockwise, between the north direction and any other direction;
In the first image (on the left) B is exactly in the north direction as compared to A so the bearing is 0°;
In the other image, B is to the right of A, which is a clockwise rotation of 90° from the north direction.
Sammy has 2 pair of jeans, 3 pair of black pants, and 1 skirt. She also has 2 pink shirts, 4 striped shirts, and 2 hooded sweatshirts. How many different outfits can Sammy make?
Answer: 72
Step-by-step explanation:
Ok, in her legs the options are:
2 jeans + 3 black pants + 1 skirt = 6 options.
on her torso the options are:
2 pinks shirts + 4 striped shirts = 6 options.
And on top of that she has:
2 hooded sweatshirts = 2 options.
The total number of combinations is equal to the product of options for each type of garmet; this is:
C = 6*6*2 =36*2 = 72
So she has 72 different outfits.
Answer:
It is 70 becouse of how many clothing ther is and u just mulytly
it tell me if im right or wrong
thanks stay safe
byebye
Step-by-step explanation:
Please help!!!! AWARDING BRAINLIEST!!
