An expression is defined as a set of numbers, variables, and mathematical operations. The factored form of the expression 16x²+8x+32 is 8(2x²+x+4).
What is an Expression?In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
The completely factored form of the expression can be written as,
[tex]16x^2+8x+32\\\\=8(2x^2+x+4)[/tex]
Thus, the factored form of the expression 16x²+8x+32 is 8(2x²+x+4).
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The ratio of the measures of the sides of a triangle is 9:12:5. If the perimeter of the triangle is 130 feet, find the measure of the sides.
Answer:
The sides of the triangle are 45, 60, and 25 ft
Step-by-step explanation:
9 + 12 + 5 equals 26.
Now we need to get the first two sides.
9/26 × 130 = 1170/26 = 45
In order to obtain the other side;
12/26 = 1560/26 = 60
And to obtain the third side:
5/26 × 130 =650/26 = 25
Therefore, the sides of the triangle are 45, 60, and 25 ft
I hope this helps! ^-^
What is the solution to the inequality 3a/2 < 24
Answer:
a < 16
Step-by-step explanation:
We must get a alone to solve this. So first multiply by 2
3a/2 < 24
*2
3a < 48
Divide by 3
a < 16
help me please please
Answer:
x + 1, y - 4
Step-by-step explanation:
Look at a point on EFGH, then its corresponding point on E'F'G'H'. Taking E, you can see that E' is one to the right and four down from it.
If you want it in math terms instead of visual ones, you can see that E is (-1, 1) and E' is (0, -3). How do you get from (-1, 1) to (0, 3)? You add 1 to x and subtract 4 from y. You can then go through all 4 points and see this is the relationship between all of them! :-)
If f (x) = 5 x minus 25 and g (x) = one-fifth x 5, which expression could be used to verify g(x) is the inverse of f(x)? one-fifth (one-fifth x 5) 5 one-fifth (5 x minus 25) 5 startfraction 1 over (one-fifth x 5) endfraction 5 (one-fifth x 5) 5
We study if the composition of both functions equals the identity ("x") that is if f(g(x)=x
What is a function?Function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
The composition of the two functions should render 'x" if one is the inverse of the other. That is, we need to find what f(g(x)) renders. Notice as well that the same verification could be done by examining g(f(x) .
Let's work with f(g(x).
[tex]f(g(x)=f(\dfrac{1}{5}+5)\\\\f(g(x)=5(\dfrac{1}{5}x+5)-25\\\\f(g(x)=x+25-25\\\\f(g(x)=x[/tex]
So we see that the composition of both functions indeed renders "x", and that way we have verified that one is the inverse of the other.
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What is the slope of the line?
Answer:
[tex]\text{slope} =\frac{3}{2}[/tex]
Step-by-step explanation:
Firstly ,check the image I provided.
we notice that the points A(1 , -3) and B(3 , 0) lie on the line
then
[tex]\text{slope} =\frac{0-\left( -3\right) }{3-1} =\frac{3}{2}[/tex]
Jerry observed 5 heads in 100 tosses of his coin. Do you think this was a fair coin? Why or why not?
Tossing of the coin by Jerry is an illustration of probability
The coin is not a fair coin
How to determine if the coin is fair?The sample space of a toss of coin is:
S = {H, T}
This means that the probability of head is:
P(H) = 0.5
In 100 toss, the expected number of heads is:
E(x) = 0.5 * 100
E(x) = 50
This means that the number of head in 100 toss should be close to 50
5 head in 100 tosses is not close to the expected value
Hence, the coin is not a fair coin
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Write an equation for the line in point-slope and slope-intercept forms.
Passes through (2, -4) and has a slope of -1.
Answer: It should be -(x - 2)
Step-by-step explanation:
the reason is this right here
y - y1 = m(x - x1)
y1 = 4
x1 = 2
m = -1
y - 4 = -(x - 2)
point-slope form: y-y₁ = m (x-x₁)
=============
y -(-4) = -1(x-2)y + 4 = -1(x-2)slope-intercept form: y = mx + b
============
y + 4 = -1(x-2)y + 4 = -x + 2y = -x + 2-4y = -x -2If you are using algebra tiles to factor a trinomial of the form ax2 bx c, when would you need to bring in zero pairs? why?
If the value of c is negative then zero pairs are required to mimic the polynomial factorization.
What is a factorization?It is the method to separate the polynomial into parts and the parts will be in multiplication. And the value of the polynomial at this point will be zero.
If you are using algebra tiles to factor a trinomial of the form
[tex]\rm ax^2 + bx + c[/tex]
If the value of c is negative, zero pairs are required to mimic the polynomial factorization.
The constants in the factors are determined by the x-tiles on the board.
Because the product of these constants equals the value of c, you'll need positive x-tiles on one side and negative x-tiles on the other side of the x-squared tile to have opposite signs on the constants.
When multiplying the components, opposite signs on the constants will result in a negative value for c.
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Answer:
Sample Response: If the value of c is negative, you would need zero pairs to model the factorization of the polynomial. The x-tiles on the board determine what the constants are in the factors. The product of these constants is equal to the value of c, so you would need positive tiles on one side of the x-squared tile and negative x-tiles on the other side to have opposite signs on the constants. Opposite signs on the constants will result in a negative value for c when multiplying the factors.
Step-by-step explanation:
There is a spinner with 15 equal areas, numbered 1 through 15. If the spinner is spun one time, what is the probability that the result is a multiple of 3 and a multiple of 5?
Answer:
Step-by-step explanation:
7 / 15 ≈ 0.47Explanation:1) Probability = number of positive outcomes / number of possible outcomes2) Positive outcomesMultiples of 5: 5, 10, and 15Multiples of 3: 3, 6, 9, 12, 15.Different outcomes (cancel the repetitions): 3, 5, 6, 9, 10, 12, and 15.Number of different positive outcomes: 73) Number of possible outomes: 154)
Probability = 7 / 15 ≈ 0.47
a store found out that 10% of people who had bought a certain brand of a coffee grinder were unhappy with it. if there were 72 people who were happy with it, then how many people in total had bought that brand
Answer:
the answer is 720
Step-by-step explanation:
you multiply 72 × 10.
Which statement is correct? twenty-nine seventh-grade students chose a sports activity. twenty-eight eighth-grade students chose a sports activity. twenty-four seventh-grade students chose a non-sports activity. thirty-nine eighth-grade students chose a non-sports activity.
There are 24 students in the 7th grade who chose non-sports. Then the correct option is C.
What are statistics?Statistics is the study of collection, analysis, interpretation, and presentation of data or to discipline to collect, and summarise the data.
A group of 120 seventh- and eighth-grade students were asked whether they participate in sports or in non-sports-related activities. The two-way table shows.
Participation in Sports or Non-Sports
There are 24 students in the 7th grade who chose non-sports.
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Answer:
C
Step-by-step explanation:
In football, the team that has the ball has four chances to gain at least ten yards. If they don't gain at least ten yards, the other team gets the ball. Positive numbers represent a gain and negative numbers represent a loss. Select all of the sequences of four plays that result in the team getting to keep the ball. A: 8, -3, 4, 21 B: 30, -7, -8, -12 C: 2, 16, -5, -3 D: 5, -2, 20, -1 E: 20, -3, -13, 2
solve the inequality 8x > 48
Step-by-step explanation:
[tex] = 8x > 48[/tex]
Now , divide both side by the same number...
[tex] = 8x \div 8 > 48 \div 8[/tex]
[tex] = x > 6[/tex]
Type the correct answer in the box. the volume of clay used to build a cylindrical pillar with a height of 9 centimeters is 324π cubic centimeters. the area of the base of the pillar is π square centimeters.
Answer:
113.04
Step-by-step explanation:
Given:V = 324 cu
cmh = 9 cm
Since the formula for the volume of a cylinder is V = AreaBase*heightAreaBase = V/height = 324cu cm/ 9 cmAreaBase = 113.04 square centimetresTherefore, the area of the pillar in square centimeters is 113.04
The base area of the cylindrical pillar would be; 113.04 cm²
What is the Volume of a cylinder?The volume of the cylinder is the product of the height, pie, and square of the radius.
v = πr²h
where, r = radius, h = height
Therefore,
v = 324π cm³
h = 9cm
Consider find the radius;
324π = 9πr²
r² = 324π /9π
r² = 36
r = √36
r = 6 cm
Base area of the pillar = πr²
Base area of the pillar = 36π
Base area of the pillar = 36 × 3.14
Base area of the pillar is 113.04 cm²
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the sum of two rational number is -8 ,if one of the number is -10/1, find the other number.
Answer:
2
Step-by-step explanation:
-10 + x = - 8 add 10 to both sides of the equation
x = 2
NEED HELP ASAP ! 30 POINTS
The graph of a line has a slope of 3 and passes through the point (–4, –5).
What is the equation of the line in point-slope form?
Answer:
y-5=3(x-2) is point slope form. y-y1=m(x-x1) is the general equation for point slope.
What scenarios are examples of fair use of a copyrighted image?
Select all that apply.
A newspaper prints a small image of a book cover alongside a review of the book.
A company that sells educational applications pays a license fee to use an image for one of its applications.
A city government department uses part of a copyrighted image for its anti-littering campaign.
An environmental nonprofit organization uses copyrighted images on the donation portion of its website.
Answer:
D) An environmental nonprofit organization uses copyrighted images on the donation portion of its website.
i need help plsss !!!!!!
Answer:
I think the 2nd and the forth
What I'd the value of x
Answer:
Can you please give us figure so that i can help you
Find the volume of the prism below.
7 cm
3 cm
16 cm
A cubic cm
Answer:
i dont have the answer but heres a little help to find your answer:)
Step-by-step explanation:
The formula for the volume of a prism is V=Bh , where B is the base area and h is the height. The base of the prism is a rectangle.
A cylinder has a base radius of 10in and a height of 20in. What is its volume in cubic in, to the nearest tenths place?
Answer:
6283.2
Step-by-step explanation:
[tex]V=\pi r^{2} h[/tex]
[tex]= \pi*10^{2} *20=6283.2[/tex]
Answer:
V=1570.8in³
Step-by-step explanation:
The formula for finding a cylinder using base diameter and height: V= π(d/2)² • h
if the:
D-10in
H-20in
V=π(10/2)²•20
which equals 1570.8in³
-my bad thought it said base diameter no radius
The interior angles formed by the sides of a hexagon have measures that sum to 720°.
What is the measure of angle F?
Enter your answer in the box.
m∠F=
°
Answer:
Angle F = 140°
Step-by-step explanation:
Add up all the angles and set it equal to 720°
x-20+x-40+x-60+130+120+110=
720
Add the x's together. And the numbers together.
3x - 120 + 360 =720
3x + 240 = 720
Subtract 240.
3x = 480
Divide by 3.
x = 160
Now find Angle F.
F = 160 - 20
F = 140°
Find the value of x.
Y
23
X
L
K
29
N
11x + 2
W
35
3
33
None of these
Answer: 3
Step-by-step explanation:
The answer to the question including equations is "None of these."
The value of x cannot be determined from the information given. The answer choices are all numbers, but they do not follow any obvious pattern. There is no mathematical operation that can be performed on the answer choices to arrive at a single value for x.
If we were given more information about the problem, such as the relationship between the answer choices, then we might be able to determine the value of x. For example, if we were told that the answer choices are all prime numbers, then we could rule out all of the answer choices except for 2 and 3. However, without more information, the value of x cannot be determined.
Here is a more detailed explanation of why the value of x cannot be determined:
The answer choices are all numbers, but they do not follow any obvious pattern. For example, the answer choices are not consecutive numbers, nor are they all even or odd numbers.
There is no mathematical operation that can be performed on the answer choices to arrive at a single value for x. For example, we cannot add, subtract, multiply, or divide the answer choices to get a single value for x.
If we were given more information about the problem, such as the relationship between the answer choices, then we might be able to determine the value of x. For example, if we were told that the answer choices are all prime numbers, then we could rule out all of the answer choices except for 2 and 3. However, without more information, the value of x cannot be determined.
Therefore, the answer to the question is "None of these."
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A manager drew this box-and-whisker plot to represent the ages of her 23 employees. Every employee is a different age.
Box-and-whisker plot ranging from 34 to 58 with ticks at increments of 1. Plot defined by points at 35, 42, 49, 54, 57.
How many employees are older than 54 ..?
Explanation:
The left and right edges of the box represent Q1 and Q3 respectively
Q1 = first quartile
Q3 = third quartile
The boxplot shows Q3 = 54
The span from Q3 to the max represents exactly 25% of the population.
Take 25% of the 23 employees
0.25*23 = 5.75
Rounding to the nearest whole number leads to 6.
Mia placed a point P on the number line give the value of the number P as a fraction what does the denominator denominator of a fraction present on the number line what does the numerator of a fraction represent a number one answer answer and explain your explanation boat space provided
Mia's fraction is an illustration of number lines
The fraction present on the number line is 5/6
How to determine the fraction?From the complete question, we have the following parameters:
Sections on the number line = 6Section on the point P = 5This means that, the fraction represented by the point P is:
P = 5/6
Hence, the fraction present on the number line is 5/6
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Because bernard has some health issues, he must pay 15% more for life insurance. about how much more annually will a $115,000 10-year term insurance at age 35 cost bernard than someone of the same age without health issues? a 3-column table with 3 rows. column 1 is labeled age with entries 35, 40, 45. column 2 is labeled 10-year term, male, with entries 1.40, 1.64, 2.07. column 3 is labeled 10-year term, female, with entries 1.36, 1.59, 2.01. a. $161 b. $185 c. $1,073 d. $24
The amount more annually a $115,000 10-year term insurance at age 35 cost Bernard than someone of the same age without health issues is $24.
What are insurance premiums?The insurance premium is paid as a cost to cover a possible loss that is unseen.
The annual premium rate as a percentage of the value insured a person at age 35 has to pay is 0.14%.
From the given information, we have that the amount a 35-year-old without health issues will pay per $1,000 is $1.40
The amount to be paid for $115,000 is 115 × $1.4 = $161
The amount Bernard pays = 15% more
= 1.15 × $161
= $185.15
Therefore,
The amount more Bernard has to pay = $185.15 - $161
= $24.15 ≈ $24
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Answer:
b
Step-by-step explanation:
Find the volume to the nearest hundredth using 3.14 instead of Pi.
22/7 lord to the nearest hundreds.
Step-by-step explanation:
yes the volume and use 3.14 for PI is 22/7 lord to the nearest hundreds.
PLEASE I NEED HELP!!!
The original cost for a pair of sneakers is $65. After discounts, the total price for the sneakers came to $55.25. What percentage discount is that?
15%
20%
18%
5%
Marcus traveled 45.5 miles in 3.25 hours. Part A: How many feet did Marcus travel? (1 mile = 5,280 feet) feet Part B: How many minutes did Marcus travel? minutes
Answer:
part a is 240240
Step-by-step explanation:
multiply the value in miles by the conversion factor '5280'.
Korey is planning to open a comic book store near his home. after completing a population survey for 3,520 homes in a 5 mile radius, korey created the chart below to include in the market analysis section of his business plan. korey expects 75% of his business to come from kids in high school and grade school. about how many of homes surveyed fit into one of these two categories? a pie chart titled population surveys. retired (55 plus), 10 percent; family (kids in college), 8 percent; family (kids in high school), 18 percent; family (kids in grade school), 32 percent; family (no kids), 20 percent; single, 12 percent. a. 493 b. 637 c. 1,126 d. 1,760
Kids in grade school have a maximum percentage of 32 reasons that Option (d) is the correct answer.
why are the grade-school-aged kids surveyed?Korey did the market analysis section of his business plan after conducting a population survey of 3,520 homes within a 5-mile radius.
He discovered that younger children who read comic books as children are more likely to read them as adults, resulting in a current and future client base.
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