Select the correct answer.
What is the exact solution to the system of equations shown on the graph?
OA (-1.4)
oc (-1,63)
OD. (-1,43)
Answers
Answer:
[tex] (-1\frac{1}{3}, 4\frac{3}{5}) [/tex]
Step-by-step explanation:
To find the exact solution, find the equation for each line. And solve for x and y.
To do this, represent each equation in the slope-intercept form, y = mx + b. Where m is the slope, and b is the y-intercept.
✍️Equation 1 for the line that slopes upwards from left to your right:
Slope = [tex] m = \frac{rise}{run} = \frac{2}{1} = 2 [/tex]
b = the point at which the y-axis is intercepted by the line = 7
Substitute m = 2 and b = 7 in y = mx + b
Equation 1 would be:
✔️y = 2x + 7
✍️Equation 2 for the line that slopes downwards from left to your right:
Slope = [tex] m = \frac{rise}{run} = -\frac{3}{1} = -3 [/tex]
b = the point at which the y-axis is intercepted by the line = 1
Substitute m = -3 and b = 1 in y = mx + b
✔️Equation 2 would be:
y = -3x + 1
✍️Solve for x and y:
✔️To solve for x, substitute y = -3x + 1 in equation 1.
y = 2x + 7
-3x + 1 = 2x + 7
Collect like terms
-3x - 2x = 7 - 1
-5x = 6
Divide both sides by -5
[tex] x = \frac{6}{-5} = -1\frac{1}{5} [/tex]
✔️To solve for y, substitute x = -1⅕ in equation 2.
y = -3x + 1
[tex] y = -3\frac{-6}{5} + 1 [/tex]
[tex] y = \frac{18}{5} + 1 [/tex]
[tex] y = \frac{18 + 5}{5} [/tex]
[tex] y = \frac{23}{5} [/tex]
[tex] y = 4\frac{3}{5} [/tex]
✅The exact solution would be: [tex] (-1\frac{1}{3}, 4\frac{3}{5}) [/tex]
Related Questions
[tex]x^2+8x+11=0[/tex]
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i need help because i dont understand it
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Answer:
6,371.15
Step-by-step explanation:
3.14 times 13^2 times 12
Answer:
Volume equals pi times radius to the power of 2 times height
that will be pi times 13^2 times 12= 6,367.92
radius is the 13 and you have to put it to the power of 2 and multiply it by 3.14 which is pi and multiply it by 12 and the answer is 6,367.92
Step-by-step explanation:
You have at most 8 hours to spend at a beach and at a planetarium. You want to spend more than 2 hours at the beach and at least 2 hours at the planetarium. Let x be the number of hours at the beach and let y be the number of hours at the planetarium. Which system represents the situation
Answers
Answer:
x > 2
y ≥ 2
x + y ≤ 8
Step-by-step explanation:
Here, we want to write a system of equations according to the given variables
More than means, greater than
since x is the variable we want to use;
x > 2
At least 2 hours means greater than or equal to 2
That is mathematically represented as;
y ≥ 2
At most means less than or equal to
So;
x + y ≤ 8
A toy maker wants to re-create the Wright Brothers 1903 airplane. The actual plane was 21 feet long. The toy maker wants to use a scale model of 3 feet = 2 inches. How long will the replica plane be?
Answers
Answer:
[tex]x = 14ft[/tex]
Step-by-step explanation:
Given
[tex]Actual\ Length = 21ft[/tex]
Model:
[tex]3\ ft = 2\ in[/tex]
Required
Determine the length of the replica
Represent the model as a ratio:
[tex]Ratio = 3\ in:2\ ft[/tex]
Convert to fraction
[tex]Ratio = \frac{3\ in}{2\ ft}[/tex]
Represent the actual lengths as a ratio
[tex]Ratio = 21\ ft : x[/tex]
Where x is the length of the replica
Convert to fraction
[tex]Ratio = \frac{21\ in}{x}[/tex]
Equate both ratios (because they are in proportion)
[tex]\frac{3\ in}{2\ ft} = \frac{21\ in}{x}[/tex]
[tex]\frac{3}{2\ ft} = \frac{21}{x}[/tex]
Cross Multiply:
[tex]3 * x = 21 * 2\ ft[/tex]
[tex]3x = 42\ ft[/tex]
Solve for x
[tex]x = \frac{42ft}{3}[/tex]
[tex]x = 14ft[/tex]
Hence, the length of the replica is 14ft
I’ll give brainliest
At Silver Gym, membership is $25 per month, and personal training sessions are $40 each. At Fit Factor, membership is $55 per month, and personal training sessions are $30 each. In one month, how many personal training sessions would Sarah have to buy to make the total cost at the two gyms equal?
Answers
Six coins are tossed. How many TOTAL ways can you get AT LEAST 3 tails?
Answers
Answer:32
Step-by-step explanation:
so all you have to do to find all posible combinations is 2 to the 6 power (64
) and devide that by 2 sience each of the "winners" have half tails
Covert the equations from standard form to slope intercept form y=-3 and x=-6
Answers
Answer:
y = -3x + 0
and
y = -6x + 0
Step-by-step explanation:
I think this is correct we're currently working on slope in my class.
What is the slop of a line that passes through (2,10) and (1,6)
Answers
Answer:
4
Step-by-step explanation:
Slope is x2-y2/ x1-y1
So, its 6-10/1-2
or, -4/-1
Or 4.
Hope this helps you!
#Team Rainbows.
Answer:
4.
Step-by-step explanation:
The slope = (difference in y coordinates) / (corresponding difference in the x coordinates)
= (10-6)/ (2-1)
= 4 / 1
= 4.
There are three nickels, three dimes, and three quarters in your pocket. You randomly pick a coin. It is a nickel or dime.
Answers
Answer:
(B) mutually exclusive
Step-by-step explanation: hope this helps!
charli has 100 million!!!
Answers
A student records the sexes and breeds of a dog in animal shelter. Which kind of data is the student recording
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Answer:
sexes and breeds duh
Step-by-step explanation:
Answer:
data of the dogs
Step-by-step explanation:
If the mean of the four numbers 4, 8, 2x and
12 is 10, then x is
Answers
Answer:
8
4+8+2x+12=10*4
24+2x=40
2x=16
x=8
Samantha and her friends are going on a road trip that is 245 7/50 miles long. They have already driven 128 53/100. How much farther do they have to go?
Answers
Answer:
They have to drive 182, 2820 miles more.
Step-by-step explanation:
... ;)
Answer:
no :)
Step-by-step explanation:
f(x)=4x-3
find f(5)
Answers
Answer:
17
Step-by-step explanation:
4(5)-3
20-3
17
the answer is 17
Select the correct answer.
Which point is a solution to the system of inequalities graphed here?
ys 2x + 2
ya -5x + 4
y 710
-10
10
7-10
Answers
Answer:D. (5,0)
Step-by-step explanation:
The point which is a solution to the system of inequalities graphed here is (0, 5)
The solution to the system of inequalityFrom the given graph, the solution of the system of inequality is the point where the two lines meet.From the graph, you can see that the x-coordinate of the solution is at x = 0 while the y-coordinate of the solution is at y = 5.Hence the point which is a solution to the system of inequalities graphed here is (0, 5)
Learn more on inequality graph here: https://brainly.com/question/24372553
HELP ILL GIVE BRAINLIEST AND POINTS
Find the percent decrease. Where necessary round to the nearest tenth of a percent
1. from 60 to 48
2. from 180 to 108
3. from 64 to 24
4. from 6.5 to 4.8
5. The average cost of a gallon of gasoline was $1.29 in 1997 and $1.12 in 1998. Find the percent of decrease.
Answers
Answer:
Hey, ill do like 2 and you can do the rest
percent decrease or change is
new-old over old
So like #1
1) 60 is old, 48 is new
so 48-60=-12
now over old which is 60
-12/60
-1/5
20 percent decrease
2) 180 is old, 108 is new
108-180=-72
-72/180
40 percent decrease
Step-by-step explanation:
20%= ?/50. What is the question mark?
7/4
7/1
10/4
3/2
Answers
Answer:
10/4
Step-by-step explanation:
PLEASE ANSWER THESE FOR GOD SAKE IF YOU DONT KNOW THEN DONT ANSWER PLEASE. Giving up all my points.... I only had 28
Answers
Answer:
d. y=2x-8
b. y=3/4x-1 & y=-4/3x+9
Step-by-step explanation:
I used desmos and put in all of the answer options to see which one worked the best.
f(x) = -4x^2+ 10
Find f(-2)
Answers
Answer:
-6
Step-by-step explanation:
plug -2 into x
Write 2200 feet to 6 seconds as a rate in lowest terms. Label the rate correctly.
1100 feet/6 sec
2200 feet/6 sec
2200 feet/3 sec
1100 feet/3 sec
Answers
Answer:
1100/3
Step-by-step explanation:
Help once more please
Answers
Answer:
84
Step-by-step explanation:
they are all equal sides so what you'd do is 28+28+28= 84
Answer: 56
Step-by-step explanation: It's an equilateral shape so all sides are equal, so then both angle UVS and UTS are congruent to each other. But since it's asking for the whole angle T you can just do 28+28=56 and that's your answer. Hope I'm right
The quotient of a number and 8 decreased by 17 is -15. What is the number?
Answers
Answer: 1/4
Step-by-step explanation:
Courtney drove 48 miles to her friends house she got there in a hour and 12 minutes how fast was she driving on average
Answers
Answer:
Yea she drove
Step-by-step explanation:
Answer:
40 mph
Step-by-step explanation:
s=vt
v = s/t
putt values
A shirt is advertised for 30% off the list price of $19.00. What is the sale price?
The sale price is $ ????????????
Answers
Answer:
13 dollars
Step-by-step explanation
30 percent - 0.3
0.3 times 19 = 13
Answer:
$13.30
Step-by-step explanation:
This problem is asking you to find thirty percent of nineteen. So, after setting up the proportion and doing the cross multiplying, I found that the amount of the discount is five dollars and seventy cents.
Now that I have the discount price, I just needed to subtract that from the regular price. Nineteen dollars minus five dollars and seventy cents is thirteen dollars and thirty cents. The cost of the shirt on sale is thirteen dollars and thirty cents.
What is 30% of 19? ?/ 19 = 30/100 19 x 30 = 570 ÷100= 5.7. The discount is $5.70 $19.00-$5.70= $13.30. so the sale price is $13.30
45 points I will give BRAINLIEST! I give stars to! First place gets Brainlest, 5 stars, and a heart! Second place gets 4 stars and a heart! But it has to be right or you won't get anything.
Write the percent as a fraction in simplest form and as a decimal. 23.5%
The fraction is
The decimal is
Answers
Answer:
Fraction: 47/200
Decimal: 0.235
Step-by-step explanation:
Answer:
fraction is 47/200
decimal is 0.235
Step-by-step explanation:
sorry i forgot to add a couple numbers i was in a rush
If f(x) = 7x - 3, then f(4) = ?
Answers
Step-by-step explanation:
7(4)-3=25
i hope it will help
A circular clock has a circumference of 48.5 meters. What the measurement of the radius, in meters, of the clock?
Answers
Answer:
The radius of the clock is 7.72 meters
Step-by-step explanation:
Here, we want to calculate the radius of a clock which has a circumference of 48.5 m
Mathematically;
Circumference C = 2 * pi * r
48.5 = 2 * 22/7 * r
7 * 48.5 = 44r
r = (7 * 48.5)/44
r = 7.72 meters
In triangle ABC, what is the measure of angle Cif A = 85°, a = 35, and c = 25?
Answers
yes the answer is C = 25
Samuel earns $5 per hour plus 65% commission on all his sales. If y represents
his sales for one day, which expression represents Samuel’s total earnings for a
day when he worked 6 hours?
A. 5(6) + 65y
B. 5(65) + 6y
C. 5(6) + 0.65y
D. 5(6) + 1.65y
Answers
Answer:
B
Step-by-step explanation:
Answer:
5(6)+0.65y
Step-by-step explanation:
$5(6hrs)+65÷100=0.65
5(6)+0.65y
Armoni took a quiz. On her quiz, she got a 95%. If there were 20 questions on the quiz, how many did Armoni get correct?
Answers
Answer:
19 questions right
Step-by-step explanation:
95% > .95
.95 * 20 = 19
Armoni got 19 questions correct
hope it helps!