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
Work out the answers to:
a) 13+ (-20)
b) (-14) + (-11)
c) 18 -(-9)
d) (-21)-(-36)
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
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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
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.
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.
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%
what is y^2 when y=-2?
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 - * - = +)
what expression is equal to 6x-8/4
Answer:
12x-6x-2
Step-by-step explanation:
8/4=2
12-6=6
6x-2
Albert bought 3 blank tapes for $5.95. Find the cost per tape to the nearest cent.
Answer:
17.85
Step-by-step explanation:
just times 5.95 by 3
.!.!.!$$.!.!.!help !!.!.!
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!
pleasee helpp. Find all missing angles.
Answer:
1-51
2-18
3-123
4-39
Step-by-step explanation:
0.00125mi squared=?ft squared
Answer:
6.6
Step-by-step explanation:
Multiply the length value by 5280
Find AC,AB=9x+1 BC=6x+25
Answer:
do u have a pic
Step-by-step explanation:
i need more info
Solve the compound inequality and graph the solutions,
-1
Answer:
Step-by-step explanation:...
The _______ name of a number is how it sounds when we say its name the long way.
Answer:
Word. The word name
Step-by-step explanation:
I hope this helps you :)
if the volume of a cube is 1,729 cubic inches, what is the length of each of its sides
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
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.
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
53.28 is what percent of 71.04?
Answer:
15.43
Step-by-step explanation:
71.04% off 53.28 is 15.43
The difference is 37.85 ,hope i helped
11) -14 - 8x = -2(-3x + 7)
Needing some help with this
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)?
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:
What is the formula for finding slope?
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 ✨
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. *
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
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
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
i'm back at it again. anyone helppp I'm so confused rnn
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:
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
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
What does x equal? 2/7(x+4)=−6
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]
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
Answer:
the answer to the question is -5/3
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?
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.
solve for r step by step v =1/3 IIR^3 h
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]
Pls help me fast! Thank you! 10 points
2. Find the value of x for which l | | m.
4n - 3n3 - 3n3 + 4n
please help quick
Answer:
8n-6n6
Step-by-step explanation:
collection of like terms
4n+4n-3n3-3n3
8n-6n6
what is 1000+194728573857275939868385937583957389583898389583958398395
Answer:
there is no way that is an actual question
Step-by-step explanation:
194728573857275939868385937583957389583898389583958399395
What is the midpoint between -5,-4 and -3,3?
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)