Answer:
n(x)=4x+15;n(x)=7
n(7)=4(7)+15
=》n(7)=28+15
28+15=43
n(7)=43
Expand 25.3(2x+3)please help
Answer:
50.6x + 75.9
Step-by-step explanation:
25.3(2x+3) = 50.6x+75.9
(02.02 MC) Triangle ABC is shown. A is at negative 2, 1. B is at negative 1, 4. C is at negative 4, 5. If triangle ABC is reflected over the x‐axis, reflected over the y‐axis, and rotated 180 degrees, where will point B' lie? (−1, 4) (1, −4) (4, −1) (−4, 1)
Answer:
(-1,4)
Step-by-step explanation:
Point B in the pre-image is at (-1,4).
If triangle ABC is reflected over the x‐axis, the y-coordinate changes to its negative value, thus we have the transformation:
Next, if the point (-1,-4) is reflected over the y‐axis, the x-coordinate changes to its negative, Thus, we have the transformation:
Finally, a rotation by 180 degrees will give the coordinates of B' as:
The point B' will lie in (-1, 4) [ the same place as B].
The coordinates of point B' are [tex](-1,4)[/tex]. So, the first option is correct.
Given:
The vertices of a triangle ABC are [tex]A(-2,1), B(-1,4)[/tex] and [tex]C(-4,5)[/tex].
Triangle ABC is reflected over the x‐axis, reflected over the y‐axis, and rotated 180 degrees.
To find:
The point B'.
Solution:
If a figure reflected over x-axis, then
[tex](x,y)\to (x,-y)[/tex]
[tex]B(-1,4)\to B_1(-1,-4)[/tex]
If a figure reflected over y-axis, then
[tex](x,y)\to (-x,y)[/tex]
[tex]B_1(-1,-4)\to B_2(-(-1),-4)[/tex]
[tex]B_1(-1,-4)\to B_2(1,-4)[/tex]
If a figure rotated 180 degrees about the origin, then
[tex](x,y)\to (-x,-y)[/tex]
[tex]B_2(1,-4)\to B'(-(1),-(-4))[/tex]
[tex]B_2(1,-4)\to B'(-1,4)[/tex]
So, the coordinates of point B' are [tex](-1,4)[/tex].
Therefore, the first option is correct.
Learn more:
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The Sides Of A Quadrilateral Are Shown Below . Express The Perimeter In Terms Of X .
Answer:
C
Step-by-step explanation:
Because the quadruple x is equal to 9
Does the point (–84, –82) satisfy the equation y = x + 2?
Answer:
It does satisfy the equation y=x+2
Step-by-step explanation:
To find if it satisfy the equation y=x+2 is by subsituting x with -84 and y with -82
-82=-84+2
2-84= -82
-82=-82 which is true so it satisfy the equation
Please tell me the surface area of a circle with a volume of 36 and please provide the formula.
Answer:
Step-by-step explanation:
volume of sphere = 4πr³/3 = 36π
r³ = 27
r = ∛27 = 3 ft³
surface area of sphere = 4πr² = 36π ft²
Mrs. Norman has 40 pairs of shoes. 6/8 of her shoes are sneakers. How many of her shoes are sneakers?
Answer:
30 of her shoes are sneakers
Step-by-step explanation:
40 divided by 8 = 5
5 x 6 = 30
hope this helps!
Answer:
30 of her shoes are sneakers
Step-by-step explanation:
you have to divide 40 by 8 which is 5 and 5 x 6 is 30 hope you have a great day
Carl is boarding a plane. He has 2 checked bags of equal weight and a backpack that weighs 4 kg. The total weight of Carl's baggage is 35kg
Write an equation to determine the weight, w, of each of Carl's checked bags.
And the weight of each of Carl's check bags
Answer:
(35 - 4)/2 = w and 15.5kg
Step-by-step explanation:
To get the weight of both bags you would have to first subtract the backpack's weight from the total weight. 35 - 4 = 31. Now divide by 2 to get the weight of one bag. 31/2 = 15.5. Each bag weighs 15.5 kg
Given a polynomial and one of its factors, find the remaining factors of the polynomial. x^4 + 2x^3 – 8x – 16; x + 2
Answer:
The other factors are: [tex](x-2)[/tex] and [tex](x^2+2x+4)[/tex]
Step-by-step explanation:
Given
Polynomial: [tex]x^4 + 2x^3 - 8x - 16[/tex]
Factor: [tex]x + 2[/tex]
Required
Find other factors
[tex]x^4 + 2x^3 - 8x - 16[/tex]
Group into two
[tex]x^4 + 2x^3 - 8x - 16 = (x^4 + 2x^3) - (8x + 16)[/tex]
Factorize:
[tex]x^4 + 2x^3 - 8x - 16 = x^3(x + 2) -8 (x + 2)[/tex]
Factor out common term
[tex]x^4 + 2x^3 - 8x - 16 = (x^3 -8)(x + 2)[/tex]
Rewrite [tex]x^3- 8[/tex] as [tex]x^3 + 2x^2 - 2x^2+ 4x - 4x - 8[/tex]
[tex]x^4 + 2x^3 - 8x - 16 = (x^3 + 2x^2 - 2x^2+ 4x - 4x - 8)(x + 2)[/tex]
Rearrange the terms
[tex]x^4 + 2x^3 - 8x - 16 = (x^3 + 2x^2 + 4x - 2x^2 - 4x - 8)(x + 2)[/tex]
Factorize
[tex]x^4 + 2x^3 - 8x - 16 = (x(x^2+2x+4)-2(x^2+2x+4))(x + 2)[/tex]
Factor out [tex](x^2+2x+4)[/tex]
[tex]x^4 + 2x^3 - 8x - 16 = (x-2)(x^2+2x+4)(x + 2)[/tex]
So, the other factors are: [tex](x-2)[/tex] and [tex](x^2+2x+4)[/tex]
Simplify, 4(x + 6) + 2 (3x- 5)
Answer:
10x + 14
Step-by-step explanation:
begin by distributing the numbers outside of your parentheses:
4x + 4(6) + 6x - 2(5)
4x + 24 + 6x -10
then just combine like terms:
4x + 6x + 24 - 10
10x + 14
2. In the middle school band, there is 1 oboe for every 7 clarinets. Write three equivalent ratios to compare the oboes to the clarinets
1/7, 2/14, 3/21
I took the test
The three equivalent ratios to compare the oboes to the clarinets are,
⇒ 2 : 14
⇒ 3 : 21
⇒ 4 : 28
What is mean by Ratio?A ratio indicates how many times one number contain in another number. The ratio of two number is written as x : y, which is equivalent to x/y. Where, x and y are individual amount of two quantities. And, Total quantity gives after combine as x + y.
We have to given that;
In the middle school band, there is 1 oboe for every 7 clarinets.
Here, The ratio of the oboes to the clarinets is,
⇒ 1 : 7
Hence, Three three equivalent ratios to compare the oboes to the clarinets are,
⇒ 1 : 7
⇒ 1 / 7
⇒ 1×2 / 7×2
⇒ 2 / 14
And, 1 : 7
⇒ 1×3 / 7×3
⇒ 3 / 21
And, 1 : 7
⇒ 1×4 / 7×4
⇒ 4 / 28
The three equivalent ratios to compare the oboes to the clarinets are,
⇒ 2 : 14
⇒ 3 : 21
⇒ 4 : 28
Learn more about the ratio visit:
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Sonya added two rational expressions, and then simplified her answer. The simplified answer was x + 1. What are the missing values in her original expression?
Answer:
[tex]a = 2[/tex] and [tex]b = 4[/tex]
Step-by-step explanation:
Given
The expression is:
[tex]\frac{x^2 + ax - 4}{x + 2} + \frac{x + b}{x + 2} = x + 1[/tex] --- missing from the question
Required
Find a and b
Take LCM
[tex]\frac{x^2 + ax - 4+x + b}{x + 2} = x + 1[/tex]
Cross Multiply
[tex]x^2 + ax - 4+x + b = (x+2)*(x + 1)[/tex]
Open brackets
[tex]x^2 + ax - 4+x + b = x^2+2x + x + 2[/tex]
[tex]x^2 + ax - 4+x + b = x^2+3x + 2[/tex]
Collect Like Terms
[tex]x^2 + ax +x + b- 4 = x^2+3x + 2[/tex]
[tex]x^2 + (a +1)x + b- 4 = x^2+3x + 2[/tex]
By comparing the coefficients:
[tex]a + 1 = 3[/tex]
[tex]a = 3 - 1[/tex]
[tex]a = 2[/tex]
[tex]b - 4 = 2[/tex]
[tex]b = 4[/tex]
Hence,
[tex]a = 2[/tex] and [tex]b = 4[/tex]
Answer:
a = 2
b = 6
Edg 2021
Can somebody please hellllp me with thissssss!!! please
Answer:
A
Step-by-step explanation:
Answer:
59 m
Step-by-step explanation:
16 + 15 + 13 + 15 = 59
Nov 19 F
Time Remaining 0:43:35
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a) Use the * tool to plot the point
with coordinates (4, 1)
1
point
B
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b) Write down the coordinates of the
midpoint of AB.
4 -3 -2-10
- 1
1 2 3 4
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Total marks: 2
Answer:
l.mao you could just send a picture, it's a bit hard to actually answer any of the questions if it's jam-packed like that
According to Synthetic division below, which of the following statements are true
Answer:
B, E, and F.
Step-by-step explanation:
We can apply synthetic division when dividing a polynomial P(x) by a binomial in the form (x - a).
Looking at the coefficients, we can see that our dividend is:
[tex]3x^2-11x+10[/tex]
Our divisor will be (x - a), where a is the number on the very top left.
So, a = 2.
Thus, our divisor is:
[tex](x-2)[/tex]
Note that our remainder is 0.
So, the synthetic division shown is telling us that:
[tex]( 3x^2 - 11x + 10) \div (x-2) = 3x - 5[/tex]
Hence, E is the correct choice. A uses the incorrect divisor.
If the divisor successfully divides with no remainder, then the divisor is a factor.
Since (x - 2) successfully divided with no remainder, (x - 2) is indeed a factor of the polynomial.
Hence, B is also correct.
C uses the wrong factor.
D uses the wrong value. It should be positive 2.
So, F is the correct choice.
Therefore, the answers are: B, E, and F.
NEED ASAP 7TH GRADE MATH
Find the percent increase. Round to the nearest percent. From 95 books to 159 books The percent increase is ( ) %.
Answer:
67.3684% or 67%
Step-by-step explanation:
percent increase = 100 X (final amount-initial amount)/(initial amount)
so
percent increase = 100 X (159-95)/95
159 - 95 = 64
64/95 = 0.6736842105263158
0.6736842105263158 X 100 = 67.36842105263158
Answer:
67% increase
159 is 167% of 95, which means this is a 67% increase.
x - 8 = 40 solve in word form
Answer: 48
Step-by-step explanation:
add 8 to both sides
-8 and 8 both cancel out and 40 and 8 add to 48
A piece of wood is cut into three different sized pieces. The ratio of the three pieces is 4:5:6. If the actual length of the wood is 45 inches, then what is the length of the short side?
Answer:
12
Step-by-step explanation:
So 4:5:6 = 45
4+5+6 = 15
45/15 = 3
Since 4 is the smallest, 4*3 = 12.
Hope this works!
Answer:
Step-by-step explanation:
This is a question worth knowing how to do. It is prime candidate for a test question.
Equation
Let the unit be x
therefore
4x + 5x + 6x = 45
Solution
15x = 45
x = 45/15
x = 3
The shortest piece is 4*3 = 12
The middle piece = 5*3 = 15
The longest piece = 6*3 = 18
Total 45
Sneezie's Tissues currently packages
tissues in a box shaped like a
rectangular pyramid with length 9
centimeters, width 5 centimeters, and
height 4 centimeters. The design team
would like to change the box to a
rectangular prism with the same base
and height. How many times greater
will the volume be when the box is
changed?
Answer:
3 timesStep-by-step explanation:
Volume of the pyramid:
V = lwh/3Volume of the prism:
V = lwhSince all dimensions remain as is, the volume of the prism is:
lwh / (lwh/3) = 3 times greaterMax has three pieces of oak trim that are 7 inches, 11 inches, and 18 inches long. He wants to use them to make a triangular base for a candleholder. Will the pieces make a triangle? Explain your answer.
Answer:
NoStep-by-step explanation:
Use triangle inequality theorem, which states
"The sum of the lengths of any two sides of a triangle is greater than the length of the third side."
The sum of two sides compared to the remaining side:
7 + 11 = 18 = 18 - not ok7 + 18 = 25 > 11 - ok11 + 18 = 29 > 7 - okThe sum of two sides is equal to the third side. This makes it impossible to make a triangle. Therefore the answer is no.
Graph the inequality y<4
Hi there!
Hope this helps!
y could be anything so I made it less than 4.
use the diagram below to help you find the volume of the figure when the length = 5, the width = 6, and the height = 10
please please help i will mark brainliest
Answer:
300
Step-by-step explanation:
5 times 6 is 30. 30 times 10 is 300. l times w times height. So 300 is the answer
Answer:
300
Step-by-step explanation:
The formula is length x width x height
So it would be 5 x 6 x 10 which equals 300! :)
The equation -3x2 + 12x = 10 is rewritten in the form of -3(x - p)2 + g = 0. What is the value of q?
A.-22
B.2
C.22
D.134
Answer:
A
Step-by-step explanation:
-3(x-p)2+g=0
-3x2+12x=10
-3(x2-4x)=10
-3(x2-4x+4)=10+12
x2-4x+4 = (x-2)2
-3(x-2)2=22
-3(x-2)2-22=0
q = -22
Helpppppp I’ll mark you brainlist
Answer
GCF is 1 and the x is
Multiples of 7 are: 7, 14, 21, 28, 35, 42, 49, 56, 63, 70, ... A common multiple is a whole number that is a shared multiple of each set of numbers. The multiples that are common to two or more numbers are called the common multiples of those numbers.
Snowden has a new park designed to contain two circular gardens. Garden A has a diameter of
50 m, and garden B has a diameter of 70 m. If the gardener wants to fertilize the surface area
of both gardens, how much surface will he cover? (Write in terms of 3.14) 5
Answer:
5,809 m^2
Step-by-step explanation:
50/2=25 m
25^2 times 3.14=1,962.5 m^2
70/2=35 m
35^2 times 3.14=3,846.5 m^2
1,962.5+3,846.5=5,809 m^2
The circumference of a circular garden is 106.76 feet. What is the radius of the garden?
Answer:
16.9659
Step-by-step explanation:
you have to divide the circumference by pi, then you will have your diameter, after that you have to divide the diameter by 2 to get your radius
a car cost $20000 when it was purchased. the value of the car decreases by 8% each year. find the rate of decay each month and select the correct answer below.
-0.6667%
-0.81%
-0.0067%
-0.6924%
What is the 3rd root of 125
Answer:
its five
Step-by-step explanation:
¿Qué es 0.4 como porcentaje?
a) 400%
b) 4%
c) 0.4%
d) 40%
-5(-1.6z+2.4)+7.4z
Simplify the expression to create an equivalent expression.
Answer:
15.4z-12
Step-by-step explanation:
A local movie theater has an offer that for every seven movies you pay to go see, they will give you free passes for two other movies. If you paid to see 42 movies last year, how many free passes did you receive?
_free passes
A local movie theater has an offer that for every seven movies you pay to go see, they will give you free passes for two other movies. If you paid to see 42 movies last year, how many free passes did you receive?
Answer: 12
Step-by-step explanation: 42/7 = 6 and you get 2 free passes so 6 x 2 = 12