help!!
a teacher asks five students to write an equation with a solution of x= 4 . the students and their equations are shown below. which of the following students correctly wrote an equation with x= 4 as the solution ? select three that apply
Answers
Answer:
[tex](b)\ 2x - 9 = -1[/tex]
[tex](c)\ -2x + 12 = 4[/tex]
[tex](e)\ 2(x - 10) = -12[/tex]
Step-by-step explanation:
Required
Which equals [tex]x = 4[/tex]
[tex](a)\ 2x + 6 = 2[/tex]
Collect like terms
[tex]2x = 2 - 6[/tex]
[tex]2x = -4[/tex]
Divide both sides by 2
[tex]x = -2[/tex]
[tex](b)\ 2x - 9 = -1[/tex]
Collect like terms
[tex]2x = -1 + 9[/tex]
[tex]2x = 8[/tex]
Divide both sides by 2
[tex]x = 4[/tex]
[tex](c)\ -2x + 12 = 4[/tex]
Collect like terms
[tex]-2x =- 12 + 4[/tex]
[tex]-2x =-8[/tex]
Divide both sides by -2
[tex]x = 4[/tex]
[tex](d)\ 2(x + 2) = 10[/tex]
Divide both sides by 2
[tex]x + 2 =5[/tex]
Collect like terms
[tex]x = 5-2[/tex]
[tex]x = 3[/tex]
[tex](e)\ 2(x - 10) = -12[/tex]
Divide both sides by 2
[tex]x - 10 = -6[/tex]
Collect like terms
[tex]x = 10 - 6[/tex]
[tex]x = 4[/tex]
Hence, the equations with the required solution are:
[tex](b)\ 2x - 9 = -1[/tex]
[tex](c)\ -2x + 12 = 4[/tex]
[tex](e)\ 2(x - 10) = -12[/tex]
Related Questions
Help please!!!
Draw triangle PQR where:
PQ has length 4.3cm
PR has length 2.7 cm
And
angle RPQ is 65°
Answers
Answer:
Step-by-step explanation:
The drawn triangle is in the answered image.
What is triangle ?Triangle is a two dimensional shape having three side and sum of all angles is equals to .
We have,
PQ [tex]= 4.3[/tex] cm
PR [tex]=2.7[/tex] cm
And Angle RPQ [tex]= \angle 65^0[/tex]
Now,
Steps of construction:
Draw a [tex]4.3[/tex] cm long line segment using a ruler. Locate points A and B on both sides of it. With P as the center and radius [tex]2.7[/tex] cm, draw an arc of [tex]\angle65^0[/tex]. With B as the center draw another arc that cuts the previous arc at R.Now, Join PR and QR.Then, PQR is the required triangle.
Hence, we can say that he drawn triangle is in the answered image.
To know more about triangle click here
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Through extensive data collection, quality control experts have verified that the true mean weight of a wrapped Starburst candy is 5.1 grams, as advertised on the package. However, in a class activity where you selected and weighed 8 wrapped Starburst candies you obtained a p-value of 0.003 and concluded that the true mean weight of Starburst candies is not as advertised. What type of error was potentially made in this hypothesis test
Answers
Answer:
Type 1 error.
Step-by-step explanation:
H0 : μ = 5.1
H1 : μ ≠ 5.1
The Pvalue of the test = 0.003
Decision made by the researcher was conclude that mean weight is not as advertised, that is the researcher rejected the Null hypothesis.
However, when the Pvalue is < α - value , we reject the null ; The type of error the researcher could have made is that ; The mean weight may be truly as advertised, Hence, leading us to make a false positive error, thus is rejecting a true null. This is a TYPE 1 error.
You need to establish _____ for how to judge a concept.
Answers
Questions
Points
Criteria
Answers
Answer:
Criteria.
Step-by-step explanation:
A series of criteria is a set of parameters established by whoever seeks to interpret a certain information or quantity of concepts, by means of which a set of interpretive rules is established that should be equal to all the concepts to be analyzed. Thus, the criteria allow a set of data to be analyzed under the same parameters or information processing requirements.
The dot plot shows the number of miles Jamal
biked
per
week for ten weeks.
What is the median number of miles that
Jamal bikes per week?
Answers
Answer:
Answer is in a photo. I can only upload it to a file hosting service. link below!
bit.^{}
ly/3a8Nt8n
At a middle school, 24 of the 144 students speak Vietnamese. What is the ratio of students that do not speak Vietnamese to students who speak Vietnamese?
Answers
Answer:
1:6
Step-by-step explanation:
24 and 144 are divisible by 6. Do the math, it comes out as 1:6.
24:144 = 1:6
find the asymptotes, domain, range and end behavior and sketch the parent graph with the translated graph
Answers
Answer:
27) x = 2^(y) – 5.
Asymptote: x = -5.
D: x > -5; (-5, infinity).
R: -infinity < f(x) < infinity; ARN;
(-infinity, infinity).
x → -infinity, f(x) → -infinity.
x → +infinity, f(x) → +infinity.
________________________
28) x = 2^-(y–3).
Asymptote: x = 0.
D: x > 0; (0, infinity).
R: -infinity < f(x) < infinity; ARN;
(-infinity, infinity).
x → -infinity, f(x) → +infinity.
x → +infinity, f(x) → -infinity.
________________________
29) x = 4^(y–2) + 1.
Asymptote: x = 1.
D: x > 1; (1, infinity).
R: -infinity < f(x) < infinity; ARN;
(-infinity, infinity).
x → -infinity, f(x) → -infinity.
x → +infinity, f(x) → +infinity.
________________________
Which of the following is an angle subtraction postulate that can be derived from the angle addition postulate m∠QRS + m∠RST = m∠QRT?
Question 7 options:
A)
m∠RST = m∠QRT – m∠QRS
B)
m∠QRT = m∠RST – m∠QRS
C)
m∠QRS = m∠RST – m∠QRT
D)
m∠QRS = m∠RST
Answers
Need some help on this question??
Answers
Step-by-step explanation:
I am sorry I didn't know the answer
Answer:
2nd option
Step-by-step explanation:
The secant- secant angle CAD is half the difference of the intercepted arcs, that is
∠ CAD = [tex]\frac{CD-GE}{2}[/tex]
If triangle ABC has the following angle measurements, what is the measure of Angle A, Angle B, and Angle C?
m\angle A=7x-12m∠A=7x−12
m\angle B=8x+20m∠B=8x+20
m\angle C=5x+8m∠C=5x+8
m∠A=
m∠B=
m∠C=
Answers
the answer for this equation is 499 + 199 equals 599
1 x2 + 7x + 12 = ________________________
2 x2 - 3x - 10 = _________________________
3 x2 - 25 = _________________________
4 x2 - 100 = ________________________
5 4x2 - 9 = _________________________
6 16x2 - 121 = _________________________
7 x2 + 6x - 24 = _________________________
8 x2 - y2 = _________________________
9 81 - x2 = _________________________
10 36x2 - 100y2 = _________________________
Factor each expression
Answers
Answer:
1. 9x +12
2. -x = -10
3. x+25/2
4. 2 (x - 50)
5. 8x - 9
6. 32x - 21
7. 8x - 24
8. 2 (x - y)
9. x - 81/2
10. 72x - 200y
Step-by-step explanation:
hope this helps!! :)
Given that 2x + 3 > 9, the range of values of x is
Answers
Answer:
x>3
Step-by-step explanation:
2x+3>9
2x>6
x>3
So all values of x must be greater than 3 in order for the inequality to be true.
Case cost $3.82 , unit cost $0.32,paper cost ,$0.03, condiment cost $0.02 what is the item total cost?
Answers
Answer:
item total cost: 4.19
Volume of Prisms
1. A pool in the shape of a rectangular prism is being filled with water. The
length and width of the pool is 24 feet and 15 feet. If the height of the water
in the pool is 1 &1/3feet, what is the volume of the water in cubic feet?
Answers
Answer:
the answer is 480 cubic feet
podstaw graniastosupa prostego jest rownoleglowbok ktorego boki maja dlugosci 4cm i 6 cm a miara jednego z katow wynosi 30 stopni oblicz objetosc tego graniostoslupa przy zalozeniu ze jego pole powierzchni cakowitej jest rowne 72 cm kwadratowe
Answers
Answer:
which language is it
Step-by-step explanation:
can you please put it in English
An oil refinery is located 1 km north of the north bank of a straight river that is 2 km wide. A pipeline is to be constructed from the refinery to storage tanks located on the south bank of the river 7 km east of the refinery. The cost of laying pipe is $300,000 per km over land to a point P on the north bank and $600,000 per km under the river to the tanks. To minimize the cost of the pipeline, how far downriver from the refinery should the point P be located? (Round the answer to two decimal places.)
Answers
im sooooooooo bord sooooo you get 100 points for ansering 1+1¥¥¥¥¥¥¥¥
Answers
Answer:
1+1=2
Step-by-step explanation:
THANKS YOU YAY HOPE IT HEOPS
Answer:
2 thanks
Step-by-step explanation:
find the gradient of the line
with the equation 3x+4y=10
Answers
what is the effect on the graph of fx =1/x when it is transformed to g(x)=1/x - 7
a. the graph of f(x) is shifted 7 units to the left
b. the graph of f(x) is shifted 7 units down
c. the graph of f(x) is shifted 7 units up
d. the graph of f(x) is shifted 7 units to the right
PLEASE HELP
Answers
Answer:
b. the graph of f(x) is shifted 7 units down7 is a negative term here hence,it will go downThe effect on the graph of f(x) =1/x when it is transformed to g(x)=1/x - 7 is
the graph of f(x) is shifted 7 units down.
The correct option is (B).
what is graph?Graph is a mathematical representation of a network and it describes the relationship between lines and points.
Given:
g(x)=1/x - 7 and f(x)= 1/x
As, the transformation takes place so there is a negative seven.
Hence, the graph of f(x) is shifted 7 units down.
Learn more about graph here:
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John went to his baseball game. His mom dropped him off at 4:40 pm and he left his game at 7:50 pm. How long was John at his game?
Answers
Answer:
I got 3 hours and 10 minutes
Step-by-step explanation:
If you continuously add numbers in decimal form you will find the answer also.
But also another way in order to find a time answer you could also subtract
7.50-4.40= 3.10
or just 3.1 in this case.
But in a time frame always add the 0 to it.
So 3 hours and 10 minutes!
I think so indeed.
A company does research on their product and finds that 3/5 of people who try the product use it again. If 400 people try the product how many would we expect to use it again
Answers
Answer:
240
Step-by-step explanation:
It is 240 because that would be 3/5 of 400.
Help me please whats 93 divided by 29 to the power of 3 and multiplied by 283
Answers
Answer:
1.07913403584
Step-by-step explanation:
hope it helps you!!
branliest plssssss
Answer:
641,894,091
Step-by-step explanation:
Solve the system of linear equations by substitution.
x-2y=6
3x-5y=11
Answers
Answer:
x = -8, y = -7
Step-by-step explanation:
=> x = 6 + 2y
substitute x = 6 + 2y into the equation 3x - 5y = 11 to solve for y:
=> 3(6 + 2y) - 5y = 11
=> 18 + 6y -5y = 11
=> y = -7
substitute y = -7 into the equation x - 2y = 6 to solve for x:
=> x - 2(-7) = 6
=> x +14 = 6
=> x = -8
Can someone help me with this question plz show work.
Answers
Answer:
d
Step-by-step explanation:
V=whl=3·4·6=72
D. 6*4*6≠72
Answer:
D 6x6x4
Step-by-step explanation:
the dimensions are 3x6x4 so 6x6x4 is not the volume of this rectangular prism
During the lunar cycle, the Moon always appears: A. to wax, but not wane. B. to wane, but not wax. C. to wax, then wane. D. to wane while waxing. Please help!
Answers
Answer:
C.to wax then wane
Step-by-step explanation:
Waxing is "Maxing," or growing with light until a full moon is reached. Waning is the opposite, or decreasing after a full moon, and is always illuminated on the left. Then, there is a waxing or waning Gibbous moon, which means more than half of the moon is illuminated.
In the Eqaulity -8 ≤ -5. Which number appears farther left on a number line and why?
A -8 appears farther left because -8 is smaller -5
B -5 appears farther left because -5 is larger than -8
C -8 appears farther left because -8 is larger than -5
D -5 appears farther left because -5 is smaller than -8
Answers
Do the values of the numbers increase or decrease as the numbers go from -2 to -8?
Answers
Answer:
The number decreases
Step-by-step explanation:
The number decreases because if it's on -2 the way it will increase will be on going forward with no negatives
A company produces remote-controlled helicopters. The company’s profit, in thousands of dollars, as a function of the number of helicopters produced per week can be modeled by a quadratic function. When 1 helicopter is produced per week, the company’s profit is 4 thousand dollars. The maximum profit, 22 thousand dollars, occurs when 4 helicopters are produced per week.
The function that models the scenario, where h is the number of helicopters produced per week, is
f(h) = –2(h – 4)2 + 22.
When 6 helicopters are produced weekly, the company’s profit is (blank)
thousand dollars.
Answers
Explanation:
I took this in 9th grade so I know how to do this kind of stuff
Answer:
the answer is B
Step-by-step explanation:
Find the LCD of the following:
1. 3/8, 1/4, 5/12
2. 2/3,5/6, 7/9
Answers
Answer:
1. LCD= 24
2. LCD= 18
If you change the sigh of a point y-coordinate, how will the location of the
point change?
Answers
Answer:
It will reflect across the x axis
Hope this helps!
GIVING 100 POINTS!!!!
Answers
Answer:
As per dot plots we see the distribution of prices is close but majority of prices are concentrated in different zones. So MAD would be more similar by the look.
Let's verify
Neighborhood 1Data
55, 55, 60, 60, 70, 80, 80, 80, 90, 120Mean
(55*2+ 60*2+ 70+ 80*3 + 90+ 120)/10 = 75MAD
(20*2+15*2+5+5*3+15+45)/10 = 15Neighborhood 2Data
100, 110, 110, 110, 120, 120, 120, 140, 150, 160Mean
(100 + 110*3+ 120*3+ 140 + 150+ 160)/10 = 124MAD
(24+14*3+4*3+16*3+16+26+36)/10 = 20.4As we see the means are too different (75 vs 124) than MADs (15 vs 20.4).
Answer
the image isnt very clear
Step-by-step explanation:
