Answers
Answer:
the solutions are {1, -3/2}
Step-by-step explanation:
The given equation 2x^2 + x - 1 = 2 simplifies to 2x^2 + x - 3 = 0 if we subtract 2 from both sides.
We are told that -3/2 is a solution and must find the other solution To do this, use synthetic division; if the remainder is zero, that tells us that -3/2 is actually a solution, and we can obtain the second solution easily, as follows:
-3/2 / 2 1 -3
-3 3
-------------------------
2 -2 0
Since the remainder is 0, we have verified that -3/2 is a solution. The coefficients of the other factor of the original equation are 2 and -2, and so this other factor is 2x - 2, or 2(x - 1). Setting this result equal to zero yields x = 1.
Thus the solutions are {1, -3/2}.
Answer:
1
Step-by-step explanation:
Took the Test edge 2021
Related Questions
Solve the inequality 3(k-9) > 3k + 6.
Answers
Answer:
No solution
Step-by-step explanation:
Solving inequalities is similar to solving equations. First let's distribute the 3 with (k-9)
[tex]3(k - 9) > 3k + 6[/tex]
[tex]3k - 27 > 3k + 6[/tex]
(Subtract 3k from both sides)
[tex] - 27 > 6[/tex]
[tex] - 33 > 0[/tex]
(Subtract 6 from both sides. You can also add 27 to both sides. You will get the same answer.)
This inequality is invalid. There are no values of k that make the inequality true.
Answer:
No solution
Step-by-step explanation:
i will mark as brainliest
Jason has applied to be a camp counselor for the summer. The job pays $9 per hour. The equation to represent Jason’s job is y = 9x, where x is the number of hours he works and y is the total amount he earns.
Mia has applied to be a lifeguard for the summer. The lifeguard job is three days a week with hours and pay as shown in the table below.
Tuesday
Thursday
Saturday
Hours worked
6
8
5
Amount paid
$52.50
$70.00
$43.75
Which statement best describes the hourly rates?
The two jobs pay the same hourly rate.
The comparison cannot be made with the information given.
Jason’s camp counselor job pays a higher hourly rate than Mia’s lifeguard job.
Jason’s camp counselor job pays a lower hourly rate than Mia’s lifeguard job.
Answers
Answer:
Jason's job pays a higher hourly rate than Mia's lifeguard job.
Step-by-step explanation:
It tells that Jason gets paid $9/hour
now divide each amount Mia makes by the number of hours each day and you get the same amount of $8.75/hour.
Find the missing side
Answers
Answer:
x= 40
Step-by-step explanation:
the way to figure out a cale factor is to divide a new side by an old side, in this case you could divide 24 by 15 to get 1.6
multiply the side congruent to x by 1.6, so 25 and 1.6
you should get 40
What is the quotient of 2 3/4 and 7/8?
Answers
Answer:
Step-by-step explanation:
2 3/4 /7/8
11/4*8/7
88/28
Select the line segment
Answers
Answer:
It should be A
Step-by-step explanation:
If you need an explanation lmk
What is the scale factor
Answers
Answer:
1/3
Step-by-step explanation:
33/11=3
so its 1/3 of it
Answer:
1/3
Step-by-step explanation:
If you divide one of the sides in figure A by 3, then you will get the corresponding side for figure B.
So if I divide the uppermost side, which is 33units by 3, I will get the uppermost side in figure B, which is 11units.
Since dividing b 3 is like multiplying by 1/3 then the scale factor is 1/3
The table shows the balance (in dollars) of a bank account each month for three months. What is the average balance of the account?
Answers
Answer:
$1,126.37
Step-by-step Explanation:
Given:
Account balance for:
Month 1 = $1285.12
Month 2 = $961.36
Month 3 = $1132.63
Required:
Average balance of account
SOLUTION:
Average balance of account = sum of account balance for the 3 months ÷ 3
Average balance of account = [tex] \frac{1285.12 + 961.36 + 1132.63}{3} [/tex]
Average balance of account = [tex] \frac{3,379.11}{3} [/tex]
Average balance of account = [tex] 1,126.37 [/tex]
Answer:
$1,126.37
Step-by-step Explanation:
Given:
Account balance for:
Month 1 = $1285.12
Month 2 = $961.36
Month 3 = $1132.63
Required:
Average balance of account
SOLUTION:
Average balance of account = sum of account balance for the 3 months ÷ 3
Average balance of account =
Average balance of account =
Average balance of account =
Evaluate the expression when a= 1/4 and b=6
Answers
Answer:
b=24
Step-by-step explanation:
Which of these terms does not describe polygon A’B’C’D?
A. Rotation
B. Transformation
C. Reflection
D. Image
Answers
The terms that does not describe polygon A’B’C’D should be considered as the option c. reflection.
What is reflection?In terms of geometry, a reflection should be known as the flip, It should be considered as the mirror image of the shape. The image should reflect via the line that we called as the reflection line.
When it should be at reflection so each and every point in the figure should be equidistant with respect to the another figure.
hence, The terms that does not describe polygon A’B’C’D should be considered as the option c. reflection.
Learn more about polygon here: https://brainly.com/question/24452286
9x+ 27 = 9(x+ 2) + 9
Answers
Answer Infinitely many
Step-by-step explanation:
a) Sheetal has eight Rs 5. coins. After purchasing 1 kg of tomatoes, only one coin left with her. What is the price
of 1 kg of tomatoes? b)The shopkeeper has 46 kg 750 g of tomatoes in his stock. He sells 28 kg 850 g of
tomatoes. What is the weight of tomatoes that are left?
Answers
Step-by-step explanation:
please check the attached picture..and rotate it
If the 8th graders raise 2/3 of their fundraising goal of $240, how much money have they raised?
Answers
Answer:
$160 do you need the work?
Answer:
$160
Step-by-step explanation:
Money raised = 2/3 of 240
[tex]=\frac{2}{3}*240\\\\=2*80\\\\[/tex]
= $ 160
The temperature in Montreal was -8° C. In New York the temperature was 11° C. How many degrees warmer was the temperature in New York?
Answers
Answer:
19
Step-by-step explanation:
An artist is making a scale model of A statue on the model 2 inches represents 1 foot on the actual statue which graph best represents this relationship
Answers
Answer:
0.166667
Step-by-step explanation:
Which statement about the ordered pairs (3, -8) and (4, 4) is true for the equation 3x - y/4 = 11?
A. Neither ordered pair is a solution.
B. Both ordered pairs are solutions.
C. (4, 4) is a solution to the equation but not (3, -8).
D. (3, -8) is a solution to the equation but not (4, 4).
Answers
Answer:
Neither ordered pair is a solution.
Step-by-step explanation:
If we substitute an ordered pair which is the correct solution, we will obtain the value at the right hand side of the equation.
Now let us try it;
Substitute (3,-8)
3(3)-(-8)/4 = 9 +8/4 =17/4
Again;
3(4) - 4/4 = 8/4 =2
Hence, none of the ordered pairs is a solution.
Derek has a bird that weighs 4 pounds. Use the double line diagram below to help you determine approximately how many kilograms this bird weighs. (2 points)
2 lines. The first line is labeled Pounds and has 6 marks, equally spaced apart, and every other mark labeled 3, 5, 7, respectively. The second line is labeled Kilograms and has 6 marks, equally spaced apart, and every other mark labeled, 1, 2, 3, respectively.
Group of answer choices
1.5 kilograms
2 kilograms
5 kilograms
7 kilograms
Answers
Answer:
2 killograms
Step-by-step explanation:
hope this helps :)
Answer:
2 2 2 it is 2
Step-by-step explanation:
what is the solution of the equation 2/5x - 4 = 26
Answers
Answer:
x=75
Step-by-step explanation:
2/5x=26+4
2/5x=30
2x=30*5
2x=150
x=150/2
x=75
Answer: x=75
Step-by-step explanation:
Find the product of each pair of complex conjugates.
(3 + 8i)(3 – 8i)
Answers
Answer:
73
Step-by-step explanation:
Can someone help please :)
The least common multiple of 54 c^2 de^3 and 38 c^4 is _____.
A. 1,026 c^4
B. 342 c^4 de^3
C. 342 c^2
D. 1,026 c^4 de^3
Answers
The correct answer is 1,026 c^4 de^3.
Explanation: 1,026 is the lowest number both 38 and 54 go into. c^4 is the lowest that both go into. de^3 is also the lowest they all go into since de^3 is only in the first equation.
Answer:
The correct answer is 1,026 c^4 de^3.
Step-by-step explanation:
Factor: 3(5x+2)(5x-2)
Answers
What is 100% written as a decimal?
Answers
Answer:
100 percent written as a decimal would just be 1
Step-by-step explanation:
For example, 50% is 0.50 in decimal form that would make 100% well, 1.0
Hope this helps and have a great day!
You got this :)
plz help asap im being timed and i only have 20 minutes left
Answers
Answer:
first question is B
second F
third C
fourth pretty sure its C
last C
Step-by-step explanation:
Can someone help me?
Answers
9514 1404 393
Answer:
54w^7/v^17
Step-by-step explanation:
The applicable rules of exponents are ...
(a^b)(a^c) = a^(b+c)
a^-b = 1/a^b
a^0 = 1 . . . . for any a ≠ 0
__
[tex]3y^5y^{-5}v^{-9}\cdot6wv^{-8}\cdot3w^6=(3\cdot6\cdot3)v^{-9-8}w^{1+6}y^{5-5}\\\\=54v^{-17}w^7y^0=\boxed{\dfrac{54w^7}{v^{17}}}[/tex]
What is 10 to the 5th power times 456
Answers
Answer:
45,600,000
Step-by-step explanation:
10 to the 5th power is 100,000 times 456 which is 45,600,000
Correct me if I am wrong
Hope this helps!
The width of a rectangle is 12 cm less than the length the perimeter is 156 cm. Which equations represents how to find the length and the width?
Answers
Answer:
x+x+x+12+x+12=156
width is 33
length is 45
Step-by-step explanation:
for for the width we will substitute it for x, and for the length we will substitute for x + 12 since the width is 12 cm less than the length. and, we know that to find the perimeter, you just have to add the widths and lengths. and since the perimeter is given the equation is:
x+x+x+12+x+12=156
width is 33
length is 45
Please can someone please tell me how to do thisss
Answers
Answer:
Rotate it 90°
Step-by-step explanation:
First graph D(-3, -10)
And a rotation of 90° clockwise is when you move the shape to the left 90°.
And that’s it
Answer:
I have a set of rules that should help you:
When rotating a point or shape 90 degrees counterclockwise switch the x and y values of that point and then change the sign (negative or positive) of the new x value. When rotating 90 degrees clockwise switch the x and y values of that point and then change the sign of the new y value. Finally when rotating 180 degrees just change the sign of both points to get your new value. Keep in mind that these rules only work when rotating around the origin which is (0,0)
IN this case, your point is -3, -10 and since we rotate it 90 degrees clockwise we just switch the x and y so it is now -10, -3 and then change the sign of the y which makes your final answer -10, 3
-Hope this helps
Step-by-step explanation:
Please help ME!!! I need help
Answers
the graph represents a function with the form f(x)=asin(bx+c) which values of a,b, and c are possible
Answers
Answer:B
Step-by-step explanation: edge 2020
A box of cereal states that there are 81 cal in a 3/4 cup serving what is the unit rate for calories per cup how many calories are there in 3 cups of cereal
Answers
Answer:
324 calories
Step-by-step explanation:
A box of cereal states that there are 81 cal in a 3/4 cup serving what is the unit rate for calories per cup how many calories are there in 3 cups of cereal
The unit rate for calories per cup = calories per cup
3/4 cup serving = 81 calories
3 cups of cereal = x calories
We Cross Multiply
3/4 × x = 81 × 3
x = (81 × 3) ÷ 3/4
x = 243 × 4/3
x = 324 calories per cup
There are 324 calories in 3 cups of cereal
PLZ HELP! I WILL MARK YOU BRAINLIEST!
Answers
Answer:
6
Step-by-step explanation:
[tex]\sqrt[3]{216}[/tex] = 6