Answers
7) -7,0,5 A or (1)
8) 3x +5 C or (3)
9) 2 B or (2)
6) The solution set of the equation x² + 8x - 15 = 5x + 13 is {-7, 4}.
7) The zeroes of the expression 2x (x - 5) (x + 7) are {-7, 0, 5}.
8) The expression (x + 5) (x + 8) + (x + 5)(2x - 3) can be written as a product of (x + 5) and (3x + 5).
9) There are 2 integer solutions on the interval 0 ≤ x ≤ 10 for the equation x³ - 5x² + 2x + 13 = 5.
We have,
6)
x² + 8x - 15 = 5x + 13
Rearranging the equation:
x² + 8x - 5x - 15 - 13 = 0
x² + 3x - 28 = 0
Now, factorize the quadratic equation:
(x + 7)(x - 4) = 0
Setting each factor equal to zero:
x + 7 = 0 or x - 4 = 0
Solving for x:
x = -7 or x = 4
7)
2x (x - 5) (x + 7) = 0
Setting each factor equal to zero:
2x = 0 or x - 5 = 0 or x + 7 = 0
Solving for x:
x = 0 or x = 5 or x = -7
8)
(x + 5) (x + 8 + 2x - 3)
Simplifying the expression inside the parentheses:
(x + 5) (3x + 5)
9)
x³ - 5x² + 2x + 13 = 5
Substitute each integer value from 0 to 10 into the equation and count the number of solutions.
Substituting each integer value,
x = 0,
x³ - 5x² + 2x + 13 = 5
0 - 0 + 0 + 13 = 5
13 = 5
Not true.
Similarly,
x = 2,
x³ - 5x² + 2x + 13 = 5
8 - 20 + 4 + 13 = 5
25 - 20 = 5
5 = 5
True.
x = 4,
x³ - 5x² + 2x + 13 = 5
64 - 80 + 8 + 13 = 5
85 - 80 = 5
5 = 5
True.
There are two integer solutions:
x = 2 and x = 4.
Therefore,
The solution set of the equation x² + 8x - 15 = 5x + 13 is {-7, 4}.
The zeroes of the expression 2x (x - 5) (x + 7) are {-7, 0, 5}.
The expression (x + 5) (x + 8) + (x + 5)(2x - 3) can be written as a product of (x + 5) and (3x + 5).
There are 2 integer solutions on the interval 0 ≤ x ≤ 10 for the equation x³ - 5x² + 2x + 13 = 5.
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Related Questions
Jack and Jill are going up the hill to pull weeds. Jack can pull all of the weeds by himself in 8 hours; if Jill helps him they can pull the same amount of weeds in 5 hours. How long would it take Jill to pull the weeds working alone?
Answers
Answer:
it would take jill 12 hours
Answer:
13.3 hours
Step-by-step explanation:
5/8 +5/b = 1
8b(5/8+5/b=1)
5b+40=8b
40=3b
40/3=b
40/3=13.3 hours
There are 30 students Ms. Washington’s class. Sixteen of the students are in band. What percent of Ms. Washington’s class is in band?
Answers
Answer: 53.33
Step-by-step explanation:
Joe Howard earns an annual gross pay of $955,520 as a
professional baseball player. He is married with 4 dependents.
How much is withheld from his monthly paycheck for state
income tax?
Answers
Answer: 3924.25
Step-by-step explanation:
0.0150x1000=15
0.0300x2000=60
0.0450x2000=90
0.0500x938520=46926
Add the numbers
47091÷12=3924.25
Additional work:
955520-12000=943520-1000=942520-2000=940520-2000=938520
His monthly paycheck for state income tax is $19,906.65.
What is Unitary Method?The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.
For exmaple, Let's say Ram spends 36 Rs. for a dozen (12) bananas.
12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.
As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.
This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.
Given:
Annual Gross pay = 955520
He is married with 4 dependents.
So, every month he earn
= 955520/12
= 79,626.6
and, Also have 4 dependents
= 79,626.6 /4
= 19,906.65
Hence, his monthly paycheck for state income tax is $19,906.65.
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Find the product using distributive property 563x67
Answers
(60×563)+(7×563)=37,721
If fabric costs $4 a foot, which graph below shows this relationship?
A. Graph A
B. Graph B
C. Graph C
D. Graph D
Answers
Answer:
Graph A
Step-by-step explanation:
Answer:
A.)
Step-by-step explanation:
since here using for example just one foot is (1,4) add another (2,8) since you are doubleing the price. and the rest are just going in weird derections.
A car travels 54.9 miles in an hour. If the car continues at the same speed for 12 hours, how many miles will it travel? Round to the nearest whole mile. *
Answers
Answer:
658.8 so 659
Step-by-step explanation:
9) What is the x-coordinate of point A in a triangle with vertexes in A (3, 5), B(6, – 3) and C (-2, - 2) after
undergoing a translation of 5 units to the right and 2 units down?
Answers
A because that's the only one that makes sence
Algebra 1 KK.12 Scatter plots: line of best fit Y2S
What is the equation of the trend line in the scatter plot?
10
9
8
7
6
5
.
4
3
2
1
.
.
.
09
1
2
3
4 5
6 7
8 9
10
Use the two yellow points to write the equation in slope-intercept form. Write any coefficients
as integers, proper fractions, or improper fractions in simplest form.
Answers
Answer:y= - 2x + 16
Step-by-step explanation:
Which type of activity does Jeff do at a speed of 4.5 point, 5 miles per hour?
Answers
Answer:
Swimming
Step-by-step explanation:
The type of activity that Jeff does at a speed of 4.5 miles per hour is Swimming
If this was helpful, please mark brainliest. Have a beautiful day.
1.Two cyclists are 7 miles apart when they begin biking away from each other in opposite directions. The speed of the first cyclist is 12 miles per hour. The speed of the second cyclist is b miles per hour greater than the speed of the first cyclist.
How many miles does the first cyclist bike in 45 minutes?
Answers
Answer:
9 miles
Step-by-step explanation:
If 1 hour is 12 miles, then 30 mins is 6 miles, then 15 minutes is 3 miles.
30+15=45
6+3=9
The first cyclist bikes 9 miles in 45 minutes.
Since two cyclists are 7 miles apart when they begin biking away from each other in opposite directions, and the speed of the first cyclist is 12 miles per hour, to determine how many miles does the first cyclist bike in 45 minutes the following calculation must be done:
60 = 12 45 = X 45 x 12/60 = X 540/60 = X 9 = X
Therefore, the first cyclist bikes 9 miles in 45 minutes.
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what is the equation shown on this graph?
Answers
Answer:
y=1
Step-by-step explanation:
there is no slope therefore dont place it. however there is a Y intercept.
I will give Brainlyest if you are first
Answers
Answer: -4/7
brainiest pls
Evaluate the following expression if x=12, y=6, and z=-4
Answers
Answer:
wheres the expression
Step-by-step explanation:
please answer correctly
-6 - 2 (4x - 7) = -32
Answers
Answer:
x=5
Step-by-step explanation:
-6 - 2(4x - 7) = -32
Distribute -2
-6 - 8x +14 = 32
Combine Like Terms
-8x + 8 = -32
Subtract 8 from both sides
-8x = -40
Divide each side by -8
- x - = +
So the final answer would be:
x = 5
When = 3, what will the value for y be for the equation - 4x + 5y = 18?
Answers
If x equals 3 then y must equal 1.2
Answer: y=6
-4(3)+5y=18
-12+5y=18
add 12 to both sides
-12+5y+12=18+12
5y=18+12
5y=30
divide both sides by 5
5y÷5=30÷5
y=30÷5
y=6
I hope this is good enough:
what are the three legal moves when using algebra tiles
Answers
Answer:
There are three types of “legal moves” in which you can preform on your expression math that help you simply an algebraic expression.
Flipping. Flipping a tile to move it out of one region into the opposite region (i.e., finding its opposite). ...
Zero Pairs.
Step-by-step explanation:
thats your answer :)
credit: Google
Annie bought a gym membership that cost $50 when she signed up and
then she paid $10 each time she visited. If "V" represents the number of
times Annie went to the gym before she canceled her membership, which
of the following expressions best shows the total amount the gym
membership cost her?*
10V - 50
50v + 10
50 - 10v
V + 50 + 10
50 +10v
50 + 10/v
Answers
Answer:
50+10v should be the right answer.
For each 90 mm of coloured fabric Paul uses to make his curtains, he also uses 10 cm of white fabric. Express the amount of white fabric to coloured fabric as a ratio in its simplest form.
Answers
Simplified
1:9
Hope this helps you
Please help!!! Brainliest?
Answers
I need to know ASAP! Thanks ^^
Answers
Answer:
PQ=30
Step-by-step explanation:
Knowing that the segment has 3 parts that are 3:1:1 and sum up to 50, you could find how much 1 would equal by finding the total in relation to the ratio (doing 3+1+1) which gets you 5 parts. Then you can divide the total (50) by 5 to figure out how much one part would equal (10). Now, since you know that 1 part is equal to 10 and that PQ is 3 parts, you can find that PQ is equal to 3x10, or 30.
can someone pls help me out
Answers
Answer:
1. y=1/5x-1 2/5
2. y=-1/2x+1/2
Step-by-step explanation:
Plzzzzz cannn someone he’lppppp meeeeee
Answers
The first two steps in the derivation of the quadratic formula by completing the square are shown below.
Which answer choice shows the correct next step?
step 1: ax^2 + bx + c = 0
step 2: ax^2 + bx = -c
ax + b = -c/x
Answers
Answer:C
Step-by-step explanation:
The derivation of the quadratic function is true
What is Quadratic Equation?A quadratic equation is a second-order polynomial equation in a single variable x , ax² + bx + c=0. with a ≠ 0. Because it is a second-order polynomial equation, the fundamental theorem of algebra guarantees that it has at least one solution. The solution may be real or complex.
The roots of the quadratic equations are
x = [ -b ± √ ( b² - 4ac ) ] / ( 2a )
where ( b² - 4ac ) is the discriminant
when ( b² - 4ac ) is positive, we get two real solutions
when discriminant is zero we get just one real solution (both answers are the same)
when discriminant is negative we get a pair of complex solutions
Given data ,
Let the quadratic equation be represented as A
Now , the value of A is
ax² + bx + c = 0
Step 1 :
ax² + bx + c = 0
Step 2 : Subtracting c on both sides , we get
ax² + bx = -c
Step 3 : Divide by x on both sides , we get
ax + b = -c/x
Hence , the steps are true in solving the quadratic equation
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Solve the system of equations below.
2x - y = 26
3x - 2y = 42
Here are the answer choices
A. (8,1)
B. (3,2)
C. (10,-6)
Answers
What are the steps on how to copy an angle? (Geometry)
Answers
Step-by-step explanation:
Make a point P that will be the vertex of the new angle.
From P, draw a ray PQ. ...
Place the compasses on point A, set to any convenient width.
Draw an arc across both sides of the angle, creating the points J and K as shown.
Hope this helps :)
Noa buys 6 items that each cost $4.25 and 3 items that each cost $6.75. How much does Noa spend in total?
$20.25
$25.50
$38.25
$45.75
Answers
She spent $45.75 in total.
what is the equation of the line that passes through the point (-3, 4) and has a slope of 1/3?
Answers
Answer:
Y=1/3x+5
Step-by-step explanation:
I hope it help you
Jaxon was asked 40 questions on a test he answered 80% incorrectly how many did he get correct
Answers
Answer:
8 correct.
Step-by-step explanation:
80 / 100 = x / 40 (Since he got 80% INCORRECT you will subtract the value of x from 40)
100x = 80 x 40
x = 3200 / 100
x = 32
40 - 32 = 8
HELP PLEASE ITS DUE TODAY
Answers
Answer:
6/10, 9/15, 12/20, 15/25, 18/30, etc so Edgar is wrong. 3/5 is not equivalent to 18/32
Step-by-step explanation:
(Gimme Brainliest Please)
Which one of these relationships is different than the other three? Explain how you know.
Answers
Answer:
I does not say.
Step-by-step explanation:
