Answers
Answer:
The graph of the system of equations solves the equation [tex]\frac{1}{2}[/tex] x - 4 = -2x + 1 ⇒ D
Step-by-step explanation:
Let us revise some important notes about the slope and y-intercept of a line
The form of the linear equation is y = m x + b, where m is the slope and b is the y-intercept
If the line has a positive slope then its direction will be to the rightIf the line has a negative slope then its direction will be to the leftThe y-intercept (0, b) is the the point of intersection between the line and the y-axis
If the line cuts the y-axis at a point above the x-axis, then b is positiveIf the line cuts the y-axis at a point down the x-axis, then b is negativeTo solve our question without any calculation, let us find the direction of the slopes and their y-intercepts
∵ The direction of the blue line is to the left
→ That means m in the equation is negative
∴ Its slope is negative
∵ The line intersects the y-axis at point (0, 1)
→ That means b in the equation = 1
∴ The number in the equation is 2
→ Look at the answer we have only one answers have negative slope and
y-intercept = 1 in the right hand side ⇒ D
∴ The equation of the blue line is represented by the left side -2x + 1
→ That means the equation of the red line is represented by the left side
∵ The direction of the red line is to the right
→ That means m in the equation is positive
∴ Its slope is positive
∵ The line intersects the y-axis at point (0, -4)
→ That means b in the equation = -4
∴ The number in the equation is -4
→ Only D has a positive slope and y-intercept = -4 in the left side
∴ The equation of the red line is represented by [tex]\frac{1}{2}[/tex] x - 4
The graph of the system of equations solves the equation [tex]\frac{1}{2}[/tex] x - 4 = -2x + 1
Another way:
You can solve each equation to find the value of x, then substitute it in one side of the equation to find y , the values of x and y must be (2, -3) as the point of intersection of the two lines in the graph
Related Questions
What is the sum of this expression?
2 1/16 + 7 3/8
A. 9 1/4
B. 9 7/16
C. 9 3/4
D. 9 7/8
Answers
Answer: [tex]9\frac{13}{24}[/tex]
Step-by-step explanation:
Add 2 and 7.
9
Add 1/16 and 3/8 = 13/24
9 13/24 is the answer.
Answer:
b. 9 7/16
Step-by-step explanation:
2 1/16 + 7 3/8
= 33/16 + 59/8
= 33/16 + 118/16
= 151/16
= 9 7/16
What is the formula for finding slope?
Answers
Answer:
To find the slope of two given points, you can use the point-slope formula of (y2 - y1) / (x2 - x1). With the points plugged in, the formula looks like (3 - 2) / (4 - 1). Simplify the formula to get a slope of ⅓.
Step-by-step explanation:
HOPE THIS HELPED ✨
4n - 3n3 - 3n3 + 4n
please help quick
Answers
Answer:
8n-6n6
Step-by-step explanation:
collection of like terms
4n+4n-3n3-3n3
8n-6n6
what expression is equal to 6x-8/4
Answers
Answer:
12x-6x-2
Step-by-step explanation:
8/4=2
12-6=6
6x-2
What is the midpoint between -5,-4 and -3,3?
Answers
Answer:
(-4,-0.5)
Step-by-step explanation:
midpoint = ((x1+x2)/2, (y1+y2)/2)
= ((-5+-3)/2, (-4+3)/2)
= (-8/2, -1/2)
= (-4,-0.5)
Work out the answers to:
a) 13+ (-20)
b) (-14) + (-11)
c) 18 -(-9)
d) (-21)-(-36)
Answers
Answer:
a. -7
b. -25
c. 27
d. 15
Step-by-step explanation:
The solution of expression is a) 13 + (-20) = -7
b) (-14) + (-11) = -25
c) 18 - (-9) = 27
d) (-21) - (-36) = 15
a) 13 + (-20) = -7
To add a positive number and a negative number, we subtract the absolute values and use the sign of the number with the greater absolute value.
b) (-14) + (-11) = -25
When adding two negative numbers, we simply add their absolute values and retain the negative sign.
c) 18 - (-9) = 27
Subtracting a negative number is equivalent to adding its positive value. Therefore, 18 - (-9) becomes 18 + 9, which equals 27.
d) (-21) - (-36) = 15
Similar to the previous example, subtracting a negative number is equivalent to adding its positive value. (-21) - (-36) becomes (-21) + 36, which equals 15.
Learn more about expression here
https://brainly.com/question/17508055
#SPJ2
QS bisects ∠PQR. If m∠PQS = (5x)⁰ and m∠RQS = (2x + 6)⁰, then what is m∠PQR? Draw a picture and label before solving. *
Answers
Answer:
m∠PQR = (7x + 6)⁰
Step-by-step explanation:
Please find the diagram in the attachment.
Mathematically, since the angle PQR is bisected by the given line, it means that;
RQS + PQS = PQR
Thus;
PQR = (2x + 6) + 5x
PQR = 2x + 6 + 5x
PQR = 7x + 6
m∠PQR = (7x + 6)⁰
Jenise throws a ball 75 times and hits the target 41 times. What is the experimental probability that she will hit the target? State your answer as a percent.
Answers
Answer:
Step-by-step explanation:
Probability is the ratio of the required outcome to the total possible outcome
Total outcome = 75
Number of times target was hit (expected outcome) = 41
Pr(she will hit target)= 41/75
Next is to state in percent and u do that by multiplying the resulting fraction by 100
41/75 i n percent.
41/75×100
= 4100/75
= 54.67%
Hence the answer in percentage is 54.67%
An athlete is jumping. However, every time she jumps she gets a bit more tired, and every jump goes 1/2 as far as her prior jump. Now, for her very first jump, she goes 1/2 of a foot. On her second jump, she goes 1/4 of a foot, and so on and so forth. How many jumps does it take for her to travel 1 foot?Immersive Reader
Answers
Answer:
She will never complete 1 foot
Steps:
1) We will find the maximum value of this process, when this is carried out infinite times.
This process goes like a Infinite GP, whose
First term,a = 1/2ft.
Common Ratio, r = 1/2ft.
Maximum value of this process is One Foot when the athlete jumps forever or Practically, she will never complete her 1 foot.
Hence, Athlete will never complete. her complete .
Starting from 1/2 ft. ,and ending at 1 foot.
The value always tends toward 1 but never reaches one.
Albert bought 3 blank tapes for $5.95. Find the cost per tape to the nearest cent.
Answers
Answer:
17.85
Step-by-step explanation:
just times 5.95 by 3
What does x equal? 2/7(x+4)=−6
Answers
Answer:
[tex]\boxed{x=-25}[/tex]
Step-by-step explanation:
[tex]\frac{2}{7} (x+4)=-6[/tex]
→ Multiply everything by 7 to get rid of the fraction
[tex]2(x+4)=-42[/tex]
→ Expand the bracket
[tex]2x+8=-42[/tex]
→ Minus 8 from both sides to isolate 2x
[tex]2x=-50[/tex]
→ Divide both sides by 2 to isolate x
[tex]x=-25[/tex]
11) -14 - 8x = -2(-3x + 7)
Needing some help with this
Answers
Answer:
x = 0
Step-by-step explanation:
First, distribute the -2 to the parentheses:
-14 - 8x = -2(-3x + 7)
-14 - 8x = 6x - 14
Add 14 to both sides:
-8x = 6x
Subtract 6x from both sides:
-14x = 0
Divide each side by -14:
x = 0
So, x = 0
Answer:
0
Step-by-step explanation:
-14-8x=6x-14(cancel equal terms)
-8x=6x(move the variable to the left)
-8x-6x=0(collect like terms)
-14x=0Divide both sides)
x=0
If f(x) = -x +6 and the domain of f is { 3, 7 , 11}, what is the range of f(x)?
Answers
Answer:
The domain of a function f(x) is the set of all values for which the function is defined, and the range of the function is the set of all values that f takes. (In grammar school, you probably called the domain the replacement set and the range the solution set.
Step-by-step explanation:
hope it helps
Answer:
B
Step-by-step explanation:
0.00125mi squared=?ft squared
Answers
Answer:
6.6
Step-by-step explanation:
Multiply the length value by 5280
The _______ name of a number is how it sounds when we say its name the long way.
Answers
Answer:
Word. The word name
Step-by-step explanation:
I hope this helps you :)
what is 1000+194728573857275939868385937583957389583898389583958398395
Answers
Answer:
there is no way that is an actual question
Step-by-step explanation:
194728573857275939868385937583957389583898389583958399395
what is y^2 when y=-2?
Answers
Answer:
4
Step-by-step explanation:
y=-2
-2*-2
4 (2 negatives is a positive)
Answer:
y ^ 2 = 4
Step-by-step explanation:
y ^ 2
= -2 ^ 2
= 4 (since - * - = +)
if the volume of a cube is 1,729 cubic inches, what is the length of each of its sides
Answers
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
I think It must be 1,728.
So :
[tex] \sqrt[3]{1728} = 12[/tex]
Thus each of its sides has a length of 12 inch.
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
Pls help me fast! Thank you! 10 points
Answers
53.28 is what percent of 71.04?
Answers
Answer:
15.43
Step-by-step explanation:
71.04% off 53.28 is 15.43
The difference is 37.85 ,hope i helped
Susan is training for a marathon. In the marathon the distance required to run is 5.2 miles. Susan is currently running 4.8 miles in 22 minutes. She does not want her total run time to exceed 22 minutes. How much further does she need to run in the 22 minutes to complete the marathon and reach her goal?
Answers
Answer:
0.4miles.
Step-by-step explanation:
The total distance to run for the marathon = 5.2 miles
Susan is currently running 4.8 miles in 22 minutes.
How much further does she need to run in the 22 minutes to complete the marathon and reach her goal?
= 5.2 - 4.8
= 0.4 miles.
A finance magazine did a survey and found that the average American family spends $1,600 on a summer vacation. If the distribution is normal with standard deviation $411, find the amount a family would have spent to be the 80th percentile. PreviousNext
Answers
Answer:
$1945Step-by-step explanation:
Let X be the normal distribution
Kindly find attached a detailed annotation of the solution to the problem.
in the attached document, we found the value that corresponds to 80th percentile, hence we found the value such that the probability that the variable x is lower than this value is 0.8.
Also, from the calculation, we found that the value which corresponds to the 80th percentile is $1945
Solve the compound inequality and graph the solutions,
-1
Answers
Answer:
Step-by-step explanation:...
pleasee helpp. Find all missing angles.
Answers
Answer:
1-51
2-18
3-123
4-39
Step-by-step explanation:
solve for r step by step v =1/3 IIR^3 h
Answers
Answer:
[tex]r=\sqrt[3]{\frac{3v}{\pi h} }[/tex]
Step-by-step explanation:
The equation is v=1/3πr³h
Multiply both sides of equation by 3 to get
3v=πr³h
Divide both sides of the equation by πh to get
3v/πh = r³
Apply cube root on both sides of the equation as;
[tex]\sqrt[3]{\frac{3v}{pih} } =r[/tex]
.!.!.!$$.!.!.!help !!.!.!
Answers
Answer:
y=9
Step-by-step explanation:
Plugin what we know
[tex]\frac{y}{12} =\frac{3}{4}[/tex]
Simplify the equation by using cross-multiplication
4y=36
Divide both sides of the equation by 4
y=9
If this helped, please rank me brainliest! :)
Answer:
Y would be 9
Step-by-step explanation:
If the x is 12 and it shows the simplified version take the 4 and multiply it by how much you would need which is 3 so you go to the 3 above 4 and multiply it by 3 and you will get 9/12
Sorry if its a bit hard to understand but hope this helps!
LAST QUESTION TO MY TEST I DONT WANNA FLUNK HELP ME
Find the slope given these points:
(-1,7) & (2,2)
-5/3
5
5/3
Answers
Answer:
the answer to the question is -5/3
Find AC,AB=9x+1 BC=6x+25
Answers
Answer:
do u have a pic
Step-by-step explanation:
i need more info
2. Find the value of x for which l | | m.
Answers
i'm back at it again. anyone helppp I'm so confused rnn
Answers
Explanation:
For every problem, plug in the number where the variable is.
For example:
Evaluate the following expression by substituting 8 for x.
x + 9
You would take the x and turn it into 8, then you would do 8 + 9.
Answer:
1)
a= 17
b= 7
c= 56
d= 4
e= 29
f= 10
g= 18
h= 4
2)
a= -1
b= 2/3
c= -4/3
d= -5/3
e= -2
f= -8/3
g= -14/9
h= -17/9
3)
a= 1/2
b= 5/6
c= 1/6
d= -1/3
e= 1/3
f= 5/12
g= 7/18
h= 0.75
Step-by-step explanation: