The perfect square trinomial will be [tex]\rm x^2+14x+49[/tex] , [tex]x^2-24x+144[/tex]Expression 2 and 4 are correct.
What are trinomials?A mathematical expression with three terms or three monomials is called a trinomial. Polynomials having only three terms are known as trinomials.
The second and fourth expression seems to be the perfect square let's check it.
Expression 2;
[tex]x^2 + 14x+49 \\\\ x^2+7x+7x+49 \\\\ x(x+7)+7(x+7)\\\\ (x+7)(x+7) \\\\ (x+7)^2[/tex]
Expression 4;
[tex]x^2-24 x +144 \\\\ x^2-12x-12x+144 \\\\ x(x-12)-12(x-12) \\\\ (x-12)^2[/tex]
Hence the perfect square trinomial will be [tex]\rm x^2+14x+49[/tex] , [tex]x^2-24x+144[/tex] .Expressions 2 and 4 are correct.
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Answer:
Options 2 and 4
Step-by-step explanation:
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.
What is the slope of the line 5y = 2x - 15?
Answer:
2/5x
Step-by-step explanation:
The equation of a line in slope intercept form:
y = mx + b, where m is the slope and b is the y-intercept.
1) Rearrange the terms so it matches y = mx + b. In this case, it is already rearranged.
5y = 2x - 15
2) Divide the terms by 5.
y = 2/5x - 3
Answer:
2/5 is the slope of the line 5y = 2x - 15
Step-by-step explanation:
y = mx + b
m = slope
b = y-intercept.
5y = 2x - 15
Divide both sides by 5.
y = 2/5x - 3
2/5 =m
2/5=slope
I can’t figure out the answer
Answer:
B
Step-by-step explanation:
using the rule of radicals
[tex]\sqrt{\frac{a}{b} }[/tex] × [tex]\sqrt{\frac{c}{d} }[/tex] = [tex]\sqrt{\frac{ab}{cd} }[/tex] , then
[tex]\sqrt{\frac{3x}{2} }[/tex] × [tex]\sqrt{\frac{x}{6} }[/tex]
= [tex]\sqrt{\frac{3x^2}{12} }[/tex]
= [tex]\sqrt{\frac{3x^2}{3(4)} }[/tex]
= [tex]\sqrt{\frac{x^2}{4} }[/tex]
= [tex]\frac{\sqrt{x^2} }{\sqrt{4} }[/tex]
= [tex]\frac{x}{2}[/tex]
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]
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:
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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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.
i need help plsss !!!!!!
Answer:
I think the 2nd and the forth
Which decimal is equal to 3/5?
0.25
0.3
0.4
0.6
0.75
Answer:
.6
Step-by-step explanation:
We want to get the denominator to 10
3/5 * 2/2 = 6/10
The decimal equivalent is
.6
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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
During the movie norma ate 3 handfuls of snack mix and brennan ate 1 3/8 handfuls how much more did norma eat?
1.625 more handfuls
Explanation:To start, we know that Norma ate 3 handfuls
n (Norma) = 3
Next, we learn that Brennan ate 1 and 3/8 handfuls. 3/8 converted into decimal form is 0.375, so Brennan ate 1.375 handfuls
b (Brennan) = 1.375
To figure out the difference between the two, you do Brennan's 1.375 and subtract it from Norma's 3.
An equation for this (if it helps) would be
n - b = x
To solve, substitute the values to find x
In conclusion, Norma ate 1.625 more handfuls than Brennan
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Write a story that could represent the math problem in the picture. You can do itttt!
Here is a story problem that can go with this:
There was [tex]\frac{3}{4}[/tex] of the cake left after the party. Matthew ate [tex]\frac{2}{6}[/tex] of the leftover cake. How much of the cake did Matthew have?
Answer:
See below ↓
Step-by-step explanation:
There were 24 ice cream cones of different flavors for sale. Marcos buys 3/4 of them and Angelo buys 2/6 of them from Marcos. What is the fraction of the flavors Angelo bought?
Suppose Gina can spend a maximum of $150 for fabric for her project. To the nearest tenth, how many yards of each type of fabric could she buy? Write your answer as an inequality. Show your work.
The length restrictions for each fabric are described by the following inequalities:
Batik0 ≤ n ≤ 16.67 yd
Linen0 ≤ n ≤ 18.75 yd
How to determine an inequation related to the quantity of yards bought
In this question we notice that the quantity of yards of fabric (n) is directly proportional to the cost (C). First, we should derive the formulae based on the information contained in tables:
BatikC = 9 · n (1)
LinenC = 8 · n (2)
Now we proceed to determine the maximum possible amount of fabric:
Batikn = 150/9
n = 16.67 yd
Linenn = 150/8
n = 18.75 yd
The length restrictions for each fabric are described by the following inequalities: (Please notice that length is a positive real variable)
Batik0 ≤ n ≤ 16.67 yd
Linen0 ≤ n ≤ 18.75 yd
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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
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 -2The 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°
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! :-)
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
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.
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.
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%
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.
Simplify.
23+4⋅8
40
80
96
160
HELP HELP HELP !!!!!!!!!!!!
Answer:
40 is answer follow me I give you the answer
Answer:
40 i think
Step-by-step explanation:
name this polynomial:-14
Answer:
monomial
Step-by-step explanation:
monomial eg 14 , x , 15x , -50 , -70x
What I'd the value of x
Answer:
Can you please give us figure so that i can help you
If 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:
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 value of x? *
150
Х
4x
15
Answer:
Hope it helps you.......
When darryl and his family moved to the city, there were 133 retail stores. use the equation to predict what year darryl’s family moved to the city.
According to the information, the year Darryl and his family arrived in the city was 2001.
How to calculate the year that Darryl and her family moved to the city?To calculate what year Darryl and her family moved to this city, we need to replace the value of x with the year they moved and the result should be 133.
y = 11x + 12133 = 11x + 12133 - 12 = 11x121 = 11x121 ÷ 11 = x11 = xAccording to the above, 11 years passed from 1990 to the year in which Darryl and his family moved to the city, that is, the year 2001.
Note: This question is incomplete because the options and image are missing. Here is the complete information:
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