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Explain how you know the following system of equations has at most 2 solutions.
Solve the system algebraically. Show your work.
Solve the system by graphing.
y= 2x-1
y= x^2-9
Answers
Answer:
Step-by-step explanation:
Answer:
The said explanation is the answer.
Step-by-step explanation:
1) Graphing the first function (y = 2x-1). When the exponents of the variables are all 1, that is there are no square, cubes, etc. the equation is a line. Then it is enough to find two points to draw it. We can calculate two points assigning a number to x and calculating the corresponding number for y. For example, when x= 0 y= 2 times 0 -1 = -1. Then the line will pass from the point (0,-1). We need a second point, we can take x=1, then y = 2 times 1 -1 = 1. The line will pass from (1,1). We can mark the two points on the plane and draw the line from these two points.
2) Graphing the second function (y = x^2-9). A quadratic equation is of the form: ax^2+bx+c= 0. We have: y= f(x) -9. Set y=0. We have the quadratic equation: x^2-9=0. Using the algebraic identity: a^2-b^2=(a+b)(a-b). We can rewrite x^2-9=0 as x^2-3^2=0: [(x+3)(x-3)=0] - [(x+3)=0,(x-3)=0] - [x= -3, x= 3]. Hence, there are two solutions for x. So we have two x-intercepts: (-3,0) and (3,0). To find the y-intercept, set x=0: [(y = (0)^2-9=0)] - [(y=-9)]. Hence the y-intercept: (0,-9)
In conclusion, this system of equations at most has two real solutions, since two points of both functions intersect each other.
Here's the graph:
Find the value of d so the line that passes through (a,b) and (c,d) has a slope of 12.
Answers
Answer:
d = 12c-12a+b
Step-by-step explanation:
The formula for calculating the slope of a line passing through two points (x1, y1) and (x2, y2)is expressed as:
m = y2-y1/x2-x1
Given the coordinates (a,b) and (c,d) and slope m = 12
Substitute into the formula as shown:
m = d-b/c-a
12 = d-b/c-a
Make d the subject of the formula:
12 = d-b/c-a
cross multiply
12(c-a) = d-b
12c-12a = d-b
add b to both sides
12c-12a + b = d-b+b
12c-12a + b = d
Hence d = 12c-12a+b
Alisa bought 3 shirts for $29 each and then spent $15 on lunch. She has $31 left. How much money did she have before?
Answers
Answer:
$133
Step-by-step explanation:
His supplies cost him $3.25 for a pitcher of lemonade. To make a profit, Ryan will apply a 68% markup. Which is the amount of markup Ryan will add?
helpp
Answers
Answer: 212.50%
Step-by-step explanation:
208=k(k+3) find the value of k
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How much force is needed to push a car with 1,300 kg of mass at an acceleration of 1.5 m/s2?
C)16,562 N
A)8,493 N
B)1,950 N
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Answer:
I think its C
hope this helps you
What is 330000 in standard to scientific notation?
Answers
Answer:
3.3*10^5
Step-by-step explanation:
Answer:
3.3 * 105
Step-by-step explanation:
Write the number between 1 and 9 and place decimal accordingly. So, the answer is 3.3 multiplied by 10 raised to power 5.
PLZPLZPZLZPZLZPZLZPZPPPZZLZP HELP ME WILL NAME BRINLY
Suppose J is between H and K. Use the Segment Addition Postulate to solve for x. Then find the length of each segment.
If HJ=x+10
JK=9x
KH=14x−58
a) Draw a sketch of the segments described above
b) Write an equaation using the segment addition postulate that will help you solve the problem
____+_____=____
c) combine like terms ( x terms on one side of the equal sign and numbers in the other side of the equal sign) _____=______
d)
x= __
HJ=__
JK=__
HK=__
Answers
Answer:
x= 17
HJ= 27
JK= 153
HK= 180
Step-by-step explanation:
If HJ=x+10
JK=9x
KH=14x−58
a) Draw a sketch of the segments described above
Find attached to this answer the diagram of the sketch of the segments described above
b) Write an equation using the segment addition postulate that will help you solve the problem
HJ + JK = KH
x + 10 + 9x = 14x - 58
c) combine like terms ( x terms on one side of the equal sign and numbers in the other side of the equal sign) x + 10 x + 10 + 9x = 14x - 58
10 + 58 = 14x - x -9x
68 = 14x - 10x
68 = 4x
x = 68/4
x = 17
d)
x= 17
HJ= x + 10
= 17 + 10
= 27
JK= 9x
= 9 × 17
= 153
HK=14x −58
HK = 14 × 17 - 58
= 238 - 58
= 180
Estimate the √14.6. Round to the nearest tenth.
Answers
Answer:
3.8
Step-by-step explanation:
Answer:
3.82/ 3.8
Step-by-step explanation:
I invest £2,000 at a rate of 5% compound interest. I leave the amount 5 years. How much will I have after 5 years?
Answers
Answer:
£10,000 at a rate of 5%
Answer:
£10,000
Step-by-step explanation:
£2,000x5= £10,000
A student organization sells shirts to raise money for events and activities. The shirts are printed with the organization's logo and the total costs are $100 plus $7 for each shirt, x. The students sell the shirts for $15 each.
Write an expression for the cost AND an expression for the revenue (money earned). Then evaluate for the specified number of shirts.
Solution
Write the expression in the order of the problem.
Cost Expression: Answer
(View hint)
Revenue (Money Earned) Expression: Answer
(View hint)
How much would it cost to make 25 shirts?
$ Answer
How much would students earn if they sold 25 shirts?
$ Answer
Will students make more money than they spent if they make and sell exactly 25 shirts?
Answers
Answer:
The answer is below
Step-by-step explanation:
The total cost for producing x number of shirts = 100 + 7x
The price of each shirt is $15, therefore:
Revenue = price per shirt × number of shirts = 15 × x = 15x
Revenue = 15x
The cost of making 25 shirts is given as:
Cost = 100 + 7x = 100 + 7(25) = $275
The money earned from producing 25 shirts is given as:
Revenue = 15x = 15(25) = $375
Since the revenue is greater than cost, the students would make more money than they spent if they make and sell exactly 25 shirts
solve for U
32=2u
Simplify your answer as much as possible.
Answers
Answer:
16
Step-by-step explanation:
32 divided by 2 equals 16 so u = 16
You do 32/2 to get U, 32/2=16 so that would be your U.
Hope this helps!
There are 32 students in the school drill team performance. Each row of team members must have the same number of students. If there are at least 8 students in each row, what are all the possible arrangements?
Answers
Answer:
4 rows with 8 students in each
Step-by-step explanation:
4x8=32
An irregularly shaped stone was lowered into a graduated cylinder holding a volume of water equal to 2 ml. The height of the water rose to 7 ml. If the mass of the stone was 25 g, what was its density?
Answers
Answer:
Step-by-step explanationNote:
1
ml
=
1
cc
If the water rose
7
ml
−
2
ml
=
5
ml
then the stone had a volume of
5
ml
or
5
cc
With a mass of
25
g
it must have a density of
XXX
25
g
5
cc
=
5
g/cc
An angle measures 40 more than the measure of its supplementary angle. What is the measure of each angle
Answers
Sum of two angles that are supplementary = 180°
Let the first angle be x .
Then the other angle = x + 40
Measure of each angle =
[tex]x + x + 40 = 180[/tex]
[tex]2x + 40 = 180[/tex]
[tex]2x = 180 - 40[/tex]
[tex]2x = 140°[/tex]
[tex]x = \frac{140}{2} [/tex]
[tex]x = 70°[/tex]
Which means :-
The first angle:-
[tex]= x = 70°[/tex]
The second angle :-
[tex]x + 40[/tex]
[tex]70 + 40[/tex]
[tex] = 110°[/tex]
Therefore , the two supplementary angles are 70° and 110° .
Answer:
65 and 25
Step-by-step explanation:
another way to write 2 5/2×4
Answers
Answer:
4 1/2(4)
Step-by-step explanation:
djjdiebjeidjjexjjebej
Solve for x.
Please help quickly
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A figure is located entirely in the third quadrant. If it is reflected over the y-axis, what will the signs of the coordinates be?
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Answer:
Step-by-step explanation:
Hello friend!!!
The signs of the coordinates will be ( - , - )
This is because it is located in the third quadrant and the coordinates of any point on the third quadrant are ( - , - )
Hope this helps
plz mark as brainliest!!!!!!!
The signs of the coordinates should be ( - , - )
Signing of the coordinates:Since we know that there are 4 quadrants. In 1st quadrant, the sign is (+,+). In the 2nd quadrant, the sign is (-,+). The 3rd quadrant, the sign is (-,-), And, the fourth quadrant, the sign is (+,-),
So based on this, the above sign should be considered.
learn more about coordinates here: https://brainly.com/question/13596846
Write the equation in slope-intercept form. What are the slope and y-intercept?
-2x-11y=5
a. y=2/11x+5/11;slope: 5/11;y-intercept: 2/11
b. y= 2/11x+5/11;slope: 2/11; y-intercept: 5/11
c. y= 2/11x-5/11;slope: 2/11; y-intercept: -5/11
d. y= 2/11x-5/11;slope: -2/11; y-intercept: -5/11
Answers
Answer:
The Answer is D
Step-by-step explanation:
I hope This helps
Use the following federal tax table for biweekly gross earnings of a single person to help answer the question below.
A 9-column table with 7 rows is shown. Column 1 is labeled If the wages are at least with entries 720, 740, 760, 780, 800, 820, 840. Column 2 is labeled But less than with entries 740, 760, 780, 800, 820, 840, 860. Column 3 is labeled And the number of withholding allowances is 0, the amount of income tax withheld is, with entries 80, 83, 86, 89, 92, 95, 98. Column 4 is labeled And the number of withholding allowances is 1, the amount of income tax withheld is, with entries 62, 65, 68, 71, 74, 77, 80. Column 5 is labeled And the number of withholding allowances is 2, the amount of income tax withheld is, with entries 44, 47, 50, 53, 56, 59, 62. Column 6 is labeled And the number of withholding allowances is 3, the amount of income tax withheld is, with entries 26, 28, 31, 34, 37, 40, 43. Column 7 is labeled And the number of withholding allowances is 4, the amount of income tax withheld is, with entries 14, 16, 18, 20, 22, 24, 26. Column 8 is labeled And the number of withholding allowances is 5, the amount of income tax withheld is, with entries 1, 3, 5, 7, 9, 11, 13. Column 9 is labeled And the number of withholding allowances is 6, the amount of income tax withheld is, with entries 0, 0, 0, 0, 0, 0, 1.
Molly has biweekly gross earnings of $839.52. By claiming 1 more withholding allowance, Molly would have $16 more in her take home pay. How many withholding allowances does Molly currently claim?
a.
1
b.
2
c.
3
d.
4
Please select the best answer from the choices provided
A
B
C
D
Answers
Answer:
Hi! The answer is actually C. 3
Step-by-step explanation:
I just did the practice and it said 3 was the answer:)
Based on the number of exemptions claimed by Selina and her biweekly gross pay, her state tax will be $16.80.
Here, we have,
given that,
from the given information, we get,
Selina is to pay 21% of her federal taxes.
Seeing as she claims a single exemption and falls in the $840 to $860 bracket, the table shows that her federal tax contribution would be $80.
State taxes are therefore:
= 80 x 21%
= $16.80
Find out more on tax at
brainly.com/question/11308445.
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y + 7 = 4(x + 2)
Write in standard form.
Answers
What is the solution to the equation? -16x=80
Answers
Here the answer
:))
Answer:
x = -20
Step-by-step explanation:
just divide -4 into both sides
Can someone help me please?
Answers
Answer:
Instead of shane just taking all the exponents and counting them one by one, she could have added all the exponents because that's what you're supposed to do when multiplying exponents.
A system is described by the equations
2x + 3y = 10
4x + By = 20
For what value of B will the system have infinitely many solutions?
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Deepak is measuring sides and angles of triangle FGH to determine whether it is congruent to triangle MNP shown below. Triangle M N P. Side P N is 26.7 centimeters, side M N is 18.3 centimeters, and side P M is 14.2 centimeters. Angle P is 40 degrees, angle N is 30 degrees, and angle M is 110 degrees. Deepak found that Angle G has a measure of 50° and Segment F H is 18.3 centimeters long. Does he need to continue measuring sides and angles of triangle FGH and why? No, he knows that the triangles are congruent because there are corresponding sides and angles that are congruent. No, he knows that the triangles are not congruent because those measurements are not equal to the corresponding parts of triangle MNP. Yes, he must verify that the other two side lengths and the other two angle measures are the same as those found in triangle MNP. Yes, he must only verify that the other two angle measures are the same as those found in triangle MNP.
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Answer:
B. No, he knows that the triangles are not congruent because those measurements are not equal to the corresponding parts of triangle MNP.
Step-by-step explanation:
I took the test.
The correct option is B. No, he knows that the triangles are not congruent because those measurements are not equal to the corresponding parts of triangle MNP.
What is the congruent triangle?Two triangles are said to be congruent if the length of the sides is equal, a measure of the angles are equal and they can be superimposed.
We are given that Deepak is measuring sides and angles of triangle FGH to determine whether it is congruent to triangle MNP,
In Triangle M N P.
Side P N = 26.7 centimeters,
M N is 18.3 centimeters,
P M is 14.2 centimeters.
Angle P is 40 degrees, angle N is 30 degrees, and angle M is 110 degrees.
He found that Angle G has a measure of 50° and Segment F H is 18.3 centimeters long.
Based on the definition, two triangles are congruent if the three sides are equal and the three angles are equal.
Hence, he need to know the other lengths of the sides of the triangle and the others angles to know if they are congruent or not.
Learn more about congruent triangles;
https://brainly.com/question/12413243
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if m<2=44, what is m<1?
Answers
Answer:
Step-by-step explanations:
POSSIBLE POINTS: 0.86 Marcus is trying to decide between a cable subscription and a satellite dish. The cable subscription has a $40 setup fee and costs an additional $38 per month. Marcus has $500 budgeted for cable. How many months (m) can he pay for the cable subscription? WRITE AN EQUATION THAT CAN BE USED TO FIND THE NUMBER OF MONTHS HE CAN PAY FOR THE CABLE SUBSCRIPTION
Answers
Answer:
0.156
Step-by-step explanation:
step1. add 40 + 38 = 78
step2. divide 78 by 500 to get 0.156
hope im right
can someone answer this and maybe explain it?
Answers
Answer:
yea what he said..........
okay, so I know someone else asked for help on this and it said it was 280, but it was not correct on mine for some reason. So, someone please help.
Eric traveled to three cities on a single highway. The distance from his original location to the first city was 100 miles more than the distance from the first city to the second city. The distance from the second city to the third city was 10 miles less than the distance from the first city to the second city. If the distance from his original location to the first city and the distance from the second city to the third city were the same, what was the total distance Eric traveled?
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Possible Answers: I searched too as I’m not very smart but I found one that happened to be multiple choice and this were the options. A. 120 miles
B. 200 miles C. 280 miles D. 360 miles E.400 miles
Step-by-step explanation: Personally I believe it should be 400.
(2x3)7x4)8x1)
I will makr brainliest if you get it right !!
Answers
Answer: 1344?
Step-by-step explanation:
Answer:
1344
Step-by-step explanation:
hope this helps