A
the domain is the x-axis number soooo
Use long division to divide and use the result to factor the dividend completely.
(5x2-13x - 28) + (x – 4)
(5x² - 13x -28)/(x-4) = (x-4)(5x+7) so x = -7/5 and x = 4 are the two factors of the given polynomial.
What is a factor of a polynomial ?The factors of a polynomial are those values of x for which the given polynomial satisfies.
According to the given question we have to divide a polynomial (5x² - 13x -28) by (x - 4).
(5x² - 13x -28)/(x-4) = (x-4)(5x) + (7x - 28).
(5x² - 13x -28)/(x-4) = (x-4)(5x+7).
So, the obtained factor is (5x+7) = 0.
∴ 5x + 7 = 0
5x = -7
x = -7/5 is a factor of the given polynomial and by substituting these value in x.
(5x² - 13x -28)
5(-7/5)² - 13(-7/5) - 28 = 0
5(49/25) + 91/5 - 28 = 0
49/5 + 91/5 - 28 = 0
140/5 - 28 = 0.
28 - 28 = 0
0 = 0 ( hence satisfied that -7/5 is a factor of the given polynomial ).
learn more about polynomials here :
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The diagram shows two parallel lines cut by a transversal.
If the measure of ∠3=(2y+20)∘ and the measure of ∠5=(210−4y)∘, what is the measure of ∠4 ?
Enter the correct answer in the box.
Answer:
∠4 = 110
Step-by-step explanation:
∠3 + ∠5 = 180 {Co-interior angles are supplementary}
2y + 20 + 210 - 4y = 180
2y - 4y + 20 + 210 = 180 {Combine like terms}
-2y + 230 = 180
Subtract 230 from both sides
-2y = 180 - 230
-2y = -50
Divide both sides by (-2)
y = -50/-2
y = 25
∠5 = 210 - 4y
= 210 - 4*25
= 210 - 100
∠5 = 110
∠4 = ∠5 {Alternate interior angles are equal}
∠ 4 = 110°
Answer:
Step-by-step explanation:
110
Mike has 1 apple he ads an other one of his apples how many does he has now
Answer:
2 apples :,) cucucyvtrvfrg
How is multiplying and dividing numbers in scientific notation different from adding and subtracting numbers in scientific notation?
You can _____ numbers written in scientific notation only if their powers of 10 are the same. You can _____ numbers written in scientific notation that have different powers. The laws of exponents are used to combine powers.
Answer:
add or subtractmultiply or divideHope this helps!
Sven participates in his employer’s 401k plan. His annual salary is $52,000. Sven contributes 7.5% of his annual salary. His employer matches his contributions up to 5% of his salary. How much money will be contributed to Sven’s plan for one year?
Answer:
$ 6,500
Step-by-step explanation:
(52,000)(0.075)+(52,000)(0.05) = 3,900 + 2,600
= 6,500
if tanA/2=4/3, find The value of sinA, cosA
given :- tanA=4/3
we already know that tanA=P/B
From Pythagorean theorem we get..
H²=P²+B²
H²=4²+3²
H²=16+9
H²=25
H²=5²
H=5
SinA=P/H
CosA=B/H
from that
SinA= 4/5
CosA=3/5
jeremy swims 5 3··5 kilometers in a 7-day period. He swims the same distance each day. What distance does he swim in a day?
A: 39 1/5 km
C:4/5km
B:1 1/5km
D 4/35km
Eli chose A as the correct answer. How did he get that answer?
Answer:
Jeremy swims 4/5 of a kilometer each day.
Step-by-step explanation:
Since 5 3/5 can be turned into 28/5, then divided by 7/1, you will get 4/5. So Jeremy swims 4/5 of a kilometer each day.
Eli got his answer by multipying 5 3/5 by 7 which was an incorrect process.
Segment AB measures 3 cm.
How long is the image of AB after a dilation with scale factor 1/5
Answer:
The answer is 3/5cm
Step-by-step explanation:
To find:
3 x 1/5.
3 x 1/5 = 3/5.
Therefore the answer is 3/5cm
8th grade math!!! Help ILL BRAINLIST
Please help me solve this I am begging you
Answer:
Line 1
√7 is between √4 and √9 ⇒ Square root of all termsLine 2
√7 is between 2 and 3 ⇒ Results of the square rootsLine 3
5√7 is between 10 and 15 ⇒ Multiply all terms by 5Can someone help me with this thank you
Answer:
4b
Step-by-step explanation:
when u add you don't add the exponents of the variable.
when you multiy you add the exponents and put the variable. it would be 4b^4 if you were multiplying but ur adding
Please answer this ASAP
Step-by-step explanation:
It's B.You want a explaination ???
-2r+3s
r=-8.2 s=-3.7
Answer:
5.3
Step-by-step explanation:
-2r+3s
Let r=-8.2 s=-3.7
-2(-8.2) +3(-3.7)
16.4-11.1
5.3
Answer:
5.3
Step-by-step explanation:
Substitute the variables.
-2(-8.2) + 3(-3.7) = 5.3
can someone help me, please?
Answer:
C. angle bisector
Step-by-step explanation:
Answer:
the third one
Step-by-step explanation:
Hope this helps and hope you have a happy and joyful day <3
Kevin earns 2.4% interest each year on the money in his savings account. He kept $157.00 in his savings account for an entire year. How much money did Kevin earn in interest?
Answer:
That is the solution
Step-by-step explanation:
157,00.102,4%=
..........
..........
160,768
guy pls help me!!!!!
Answer:
a= 11
Step-by-step explanation:
9a+ 6°+75° =180° (straight angle, they are called supplementary angles. so sum is equal to 180°
9a +81 = 180
9a= 99
a= 11
Peter uses 13.5 cups of flour tomake 6 batches of muffins. How many cups of flour did he use per batch?
Answer:
2.25
Step-by-step explanation:
13.5 divided by 6 = 2.25
PLEASE GIVE BRAINLIEST!!!
SOMONE HELP ME I HAVE
TO DO THIS AFTER SCHOOL PLS ASAP!!!
Answer:
1 no
2 I don't know
3 no
4 yes
5 2.5 is the slope
6 -0.5
7 no slope
Step-by-step explanation:
1 no because the y overlaps
2 not sure
3 it over laps
4 it never overlaps
5 y=2.5x-3
6 y=-0.5x+1
7 no slope it's just x=-2
for the 5-7 you can type that into demos and get more info
y=mx+b
m is the slope and b is y intercept
Job 1 at the Minute Mart
Heather works 3 days at the Minute Mart. Each day consists of 8 hour shifts and the pay rate is £6.29. Work out how much Heather earns a week from the Minute Mart?
Answer:
£150.96
Step-by-step explanation:
Multiply 6.29 by 8. This is how much she makes a day.
(£50.32)
Multiply £50.32 by 3 because she works for 3 days.
(£150.96)
Which of the ratios below is equivalent to 5:2? Select all that apply.
A) 6:3
B) 10:25
C) 20:8
D) 10:4
E) 30:12
Answer:
Your answer to this question is C, D, and E.
Step-by-step explanation:
A and B are incorrect.
Choose the point-slope form of the equation below that represents the line that passes through the points (−6, 4) and (2, 0)
Answer:
B. y - 4 = - 1/2(x + 6)Step-by-step explanation:
Given points on the line:
(−6, 4) and (2, 0)Find the slope:
m = (0 - 4)/(2 - (-6)) = -4/ 8 = -1/2Point slope form using the first point:
y - 4 = - 1/2(x - (- 6)) ⇒ y - 4 = - 1/2(x + 6)Correct choice is B
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
The required equation is :
[tex]\boxed{ \boxed{y - 4 = - \dfrac{1}{2} (x + 6)}}[/tex]
[tex] \large \boxed{ \mathfrak{Explanation}}[/tex]
Let's find the slope (m) ~
[tex] \mathrm{\dfrac{y_2 - y_1}{x_2 - x_1} }[/tex][tex] \dfrac{4 - 0}{ - 6 - 2} [/tex][tex] - \dfrac{4}{8} [/tex][tex] - \dfrac{ 1 }{2} [/tex]now, let's use the slope and the points to write the equation of line in point slope form ~
[tex]y - 4 = - \dfrac{ 1}{2} (x - ( - 6))[/tex][tex]y - 4 = - \dfrac{1}{2} (x + 6)[/tex]In Exercises 9-12, tell whether the lines through the given points are parallel, perpendicular, or neither. Justify your answer 12. Line 1: (10, 5), (-8, 9) Line 2: (2, -4), (11, -6)
Answer:
They're parallel.
Step-by-step explanation:
The reason they're parallel is because they both have the same slope.
2
What is the value of f(x) = 23.22 + 2.5 at x = -4.22
=
Answer:
yo download Gauth math it gives u the answer instantly
(6m^2-3m+15)(4m-7) simplify
2 4[tex]m^{3}[/tex] − 5 4[tex]m^{2}[/tex] + 8 1 − 1 0 5
Answer:
24m^3−54m^2+81m−105
Step-by-step explanation:
Solving Exponential Equations and Inequalities Solve for x 169% = 13"
Answer:
x = 100/13
Step-by-step explanation:
x 169% = 13
x = 13/169%
x = 13/1.69 = 13/169/100
x = 13 × 100/169
x = 100=13
[tex]\\ \sf\longmapsto 169\%x=13[/tex]
[tex]\\ \sf\longmapsto 1.69x=13[/tex]
[tex]\\ \sf\longmapsto x=\dfrac{13}{1.69}[/tex]
[tex]\\ \sf\longmapsto x=7.69[/tex]
The ages of the members of a family are 65, 58, 27, 25, 5, and 2 years old. What is the total admission price for the family to visit the zoo?
A picture shows an admission price board for people of different ages at a zoo. The ages of people and their admission price per person in dollars are as follows: 12 and under, 8; 13-59, 12; 60 and older, 10.
Answer:$62
Step-by-step explanation: 62 becuase I took your formula and plugged it in. There are 2 kids under 12 so thats $16, then there are 3 people who are 12-59 that equals $52, then 1 person who is over 60. So $62.
Brody is taking a multiple choice test with a total of 20 points available. Each
question is worth exactly 1 point. What would be Brody's test score (out of 20) if he
got 9 questions wrong? What would be his score if he got x questions wrong?
Use coordinate pair to find u(2)
Answer:
[tex]u(2) = 3[/tex].
Step-by-step explanation:
A function [tex]f: A \to B[/tex] is a set of ordered pairs ([tex]2[/tex]-tuples in the form [tex](a,\, b)[/tex]), such that for any [tex]a \in A[/tex], there is exactly one [tex]b \in B[/tex] such that [tex](a,\, b) \in f[/tex].
In other words, for any element [tex]a[/tex] in the domain of this function, there must be exactly one ordered pair with this [tex]a\![/tex] as the first element.
If [tex]f[/tex] meets these requirements, then for any [tex]a \in A[/tex] and [tex]b \in B[/tex], write [tex]f(a) = b[/tex] if and only if [tex](a,\, b) \in f[/tex].
In other words, write [tex]f(a) = b[/tex] ([tex]f[/tex] maps [tex]a[/tex] to [tex]b[/tex]) if and only if there is an ordered pair in [tex]f\![/tex] with [tex]a\![/tex] as the first element and [tex]b\![/tex] as the second element.
The [tex]u[/tex] in this question is indeed a set of ordered pairs and meet the requirements for being a function from [tex]\lbrace 1, 2, 3\rbrace[/tex] to [tex]\lbrace 2,\, 3,\, 4 \rbrace[/tex].
The question is asking for the value of [tex]u(2)[/tex]. Thus, it would be necessary to find an ordered pair in [tex]u[/tex] with [tex]2[/tex] as the first element.
The only ordered pair in [tex]u[/tex] with [tex]2[/tex] as the first element is [tex](2,\, 3)[/tex]. Thus, [tex]u\![/tex] maps [tex]2\![/tex] to [tex]3\![/tex], such that [tex]u(2) = 3[/tex].
How can you find the unit rate?
Answer:
Understand unit rate. The unit rate is a special type of ratio in which the two separate measurements are compared and expressed as a quantity of one.
Look at the data. The problem must have two terms, and you must be asked to determine how much of one term exists per unit of the other term.
Rewrite the data as a division problem.
Step-by-step explanation:
Which statement is true? 13/14=169/182 13/14<169/182 13/14>169/182
pls help me
Answer: 13/14 = 169/182
Step-by-step explanation:
If you do 13 x 182 = 2,366
And then do 14 x 169 = 2,366
Making both sides equal if you multiple the numerator by denominator using cross multiplication
The fraction number 13/14 is equal to the fraction number 169/182. Then the true statement is A.
What is Algebra?Algebra is the study of mathematical symbols, while logic is the manipulation of those icons.
The product is another name for it. If the same thing, n, is delivered to m different people, we merely multiply them.
The fraction number is given below.
⇒ 13/14 and 169/182
Multiply the fraction number 13/14 by 13 in numerator and denominator. Then the expression is written as,
⇒ (13 x 13)/(14 x 13)
⇒ 196 / 182
The fraction number 13/14 is equal to the fraction number 169/182. Then the true statement is A.
More about the Algebra link is given below.
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