Solve the equation using either addition or substitution. Show all your work
Answers
Answer:
(x1, y1) = (1, 3)
(x2, y2) = (4, 12)
Step-by-step explanation:
y= x^2 - 4
y= 5x - 8
(substitute the value for y)
x^2 - 4 = 5x - 8
(solve the equation)
x = 1
x = 4
(substitute the values)
y = 5 × 1 - 8
y = 5 × 4 - 8
(solve the equations)
y = -3
y = 12
( the possible solutions are)
x1, y1 = 1, -3
x2, y2 = 4, 12
(check the solutions)
-3 = 1^2 - 4
-3 = 5 × 1 - 8
12 = 4^2 - 4
12 = 5 × 4 - 8
(simplify)
-3 = -3
-3 = -3
12 = 12
12 = 12
(the ordered pairs are the solutions)
Related Questions
Suppose a person is riding a plane 154ft above the ground and drops a box of supplies. The height of the box
is given by the formula:
h = -16+2 + 154
After how many seconds does the box hit the ground? (round to the nearest hundredth of a second)
Answers
x
-5
-4
-3
-2
-1
0
1
2.
3
f(x)
14
6
CO
O
-4
-6
-6
-4
0
6
Based on the table, which statement best describes a prediction for the end behavior of the graph of f(x)?
O As x = 0,f(x) = -00, and as x -o, f(x) o
As x = 0,f(x) - 00, and as x = -00,f(x) = 0
O As x - ,f(x) 0, and as x - -0,f(x) --
O AS X - c.f(x) - --, and as x + -0,f(x) ---
Answers
The solution is : Option C, function is → f(x) = x + 2
What is function?Function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable.
here, we have,
From the table give in the picture,
Let the linear function represented by the table is,
f(x) = mx + b
Here, m = Slope of the line
b = y-intercept
Slope of a line passing through two points (-2, 0) and (1, 3) will be,
m = y2 - y1 / x2 - x1
= 1
Equation of the function will be,
f(x) = x + b
Since, a point (1, 3) lies on he given function,
3 = 1 + b
b = 3 - 1
b = 2
Therefore, function is → f(x) = x + 2
Option C will be the correct option.
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complete question:
X f(x)
-2 0
5. Which function matches the function table at the right?
A. f(x) = x+3
B.f(x) = 2x
C.f(x) = x + 2
D. f(x) = 4x - 1
Pls help
Luke now takes 20 cards numbered 1 to 20. Show how the cards can
be paired to give an LCM of 60.
Answers
Answer:
Step-by-step explanation:
The pair members cannot be multiplied. Look at the last numbers that are prime starting with eleven
What are you going to pair these primes with
11 13 17 19
So they must be added (or maybe subtracted).
1 19
2 18
3 17
4 16
5 15
6 14
7 13
8 12
9 11
and 20 which no matter how you do this, there will be 1 card left over.
Each of them adds to 20 so the LCM is 20
3. In chemistry, Isaac can mix the correct solution in 20 minutes. Together,
Isaac and Newton can mix the same solution in 11 minutes. How long
does it take Newton to mix the solution when he is working alone
Answers
The illustration below shows the graph of yyy as a function of xxx.
Complete the following sentences based on the graph.
Initially, as xxx increases, yyy
.
Afterward, the slope of the graph of the function is equal to
for all xxx between x=3x=3x, equals, 3 and x=5x=5x, equals, 5.
The slope of the graph is equal to
for xxx between x=5x=5x, equals, 5 and x=9x=9x, equals, 9.
The greatest value of yyy is y=\:y=y, equals
, and it occurs when x=\:x=x, equals
.
Answers
answer in the picture
Answer:
The illustration below shows the graph of yyy as a function of xxx.
Complete the following sentences based on the graph.
Initially, as xxx increases, yyy
Step-by-step explanation:
The range of a projectile that is launched with an initial velocity v at an angle of a with the horizontal is given by R
sin
where g is the acceleration due to gravity or 9.8 meters per second squared. If a projectile is launched with an initial velocity of 1
meters per second, what angle is required to achieve a range of 20 meters? Round answers to the nearest whole number.
Answers
Answer:
[tex]\theta=30.285^{\circ}[/tex]
Step-by-step explanation:
The range of a projectile is given by :
[tex]R=\dfrac{u^2\sin2\theta}{g}[/tex]
Put R = 20 m, u = 15 m/s and finding the value of angle of projection
So,
[tex]R=\dfrac{u^2\sin2\theta}{g}\\\\\sin2\theta=\dfrac{Rg}{u^2}\\\\\sin2\theta=\dfrac{20\times 9.8}{15^2}\\\\\sin2\theta=0.871\\\\2\theta=\sin^{-1}(0.871)\\\\2\theta=60.57\\\\\theta=30.285^{\circ}[/tex]
So, the required angle of projection is equal to [tex]30.285^{\circ}[/tex].
What is the value of x?
Answers
Answer:
C
24Step-by-step explanation:
Trust me on this one.
HELPPP!!
Find the value of x in the parallelogram!
Answers
Answer:
x = 17
Step-by-step explanation:
Area of a parallelogram:
A = bh
Given:
A = 153
b = 9
Work:
A = bh
h = A/b
h = 153/9
h = 17
The area of the following parallelogram is 77m2. What is the length it’s base?
Answers
Answer:
11 maybe???
Step-by-step explanation:
20
94
Find the value of the missing angle
Answers
Answer:
x = 74°
Step-by-step explanation:
supplementary angle to 94° = 86°
x = 180° - 20° - 86° = 74°
Minh wants to buy a car costing $9,950. She can put $1,000 down and finance the rest at 10.9% APR, making the monthly payments for 3 years. How will Minh pay in finance charges? What will her monthly payments be?
Answers
Answer:
piip;[-p-o-ul0i
Step-by-step explanation:
Find two negative consecutive integers such that the square of the first is five more than the second. Find the integers.
Answers
Answer:
the two consecutive negative integers are -2 and -1.
Step-by-step explanation:
Represent these negative integers by m and n.
Then (because the integers are consecutive) n = m + 1, and m^2 = n + 5.
Substituting m + 1 for n in the second equation, we get:
m^2 = m + 1 + 5, or
m^2 - m - 6 = 0
This factors into (m - 3)(m + 2) = 0. The only negative root is -2.
Thus, the two consecutive negative integers are -2 and -1.
Check: Is the square of the first five more than the second?
Is (-2)^2 = -1 + 5? YES
The integers aer -2 and -1.
15. A ball is dropped from a 75 foot tall tower, and the height of the ball (in feet) can be represented by the
equation h = -16t? + 75 where t is time (in seconds). Determine the amount of time it will take for the ball
to hit the ground. Round your answer to the nearest hundredth of a second.
Answers
Joe, Josie and Bob has $35 when they put their money together. Joe has half as much as Josie. Bob has four times as much money as Joe. How much money does Josie have?
Answers
Answer: $10
Step-by-step explanation:
Let Josie's money be x
Since Joe has half as much as Josie. Joe's money will be: x/2 = 0.5x
Bob has four times as much money as Joe. Bob's money will be = (4 × 0.5x) = 2x
Therefore, we add all the amount together and equate to $35. This will be:
x + 0.5x + 2x = 35
3.5x = 35
x = 35/3.5
x = 10
Josie has $10
To find the x-intercept, we let y = 0 and solve for x and to find y-intercept, we let x=0 and solve for y. Figure out the x-intercept and y-intercept in given equation of the line.
6x + 2y = 12
not bots with links or so help me i will
Answers
Answer:
X-intercept: (2, 0) Y-intercept: (0, 6)Step-by-step explanation:
X-intercept: y=0:
6x +2×0 = 12
6x = 12
x = 2
Y-intercept: x=0:
6×0 + 2y = 12
2y = 12
y = 6
divide 150 toys amongst two groups of children in the ratio 6:9
Answers
Answer:
60 and 90
Step-by-step explanation:
150/15 = 10
6 x 10 = 60
9 x 10 = 90
The required number of toys that can be divided among two groups is 60 and 90.
Given that,
To divide 150 toys amongst two groups of children in a ratio of 6:9.
The ratio can be defined as the proportion of the fraction of one quantity towards others. e.g.- water in milk.
Here,
Ratio = 6 / 9
Total of ratio = 15
Now,
For 1 group toys = 150 [6 / 15] = 60
For group 2 toys = 150 [9 / 15] = 90
Thus, the required number of toys that can be divided among two groups is 60 and 90.
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The cone below has a radius of 1 inch and height of 4 inches. What is the slant height in inches?
a. √-5
b. √−−17
c. 15
d. 17
Answers
Answer:
B is the correct answer ([tex]\sqrt{-17}[/tex])
Step-by-step explanation:
The slant height of the cone is √17.
What is Cone?A cone is a shape formed by using a set of line segments or the lines which connects a common point, to all the points of a circular base.
Here, radius = 1 inch
height = 4 inches
Slant height = [tex]\sqrt{r^2+h^2}[/tex]
= [tex]\sqrt{1^2+4^2}[/tex]
= [tex]\sqrt{1+16}[/tex]
l = √17 inches.
Thus, the slant height of the cone is √17.
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Craig opened a savings account and deposited $600.00 as principal. The account earns 2%
interest, compounded annually. What is the balance after 6 years?
Use the formula A =
1 +
(starting amount), r is the interest rate expressed as a decimal, n is the number of times per
year that the interest is compounded, and t is the time in years.
Round your answer to the nearest cent.
Answers
Answer:
the answer is 675.70 or 4,504.33
Step-by-step explanation:
the right answer is that
One kilogram is approximately 2.2 pounds. Write a direct variation equation that relates x kilograms to y pounds.
Answers
Answer:
2.2y=1x or just x
Step-by-step explanation:
Answer: y=2.2x
Step-by-step explanation:
In the figure shown, what is the measure of the indicated angle?
Answers
Answer:
60 degrees
Step-by-step explanation:
Each triangle needs to add up to 180 total degrees. 70+50=120,
180
-
120
___
60
Why? because all triangles equal 180, so 70+50= 120 and 180-120= 60, all straight lines are 180 and 180-60= 120
What is the discriminant of the quadratic equation 0 = -x2 + 4x - 2? 4 8 012 O 24
Answers
Answer:
It's 8
Step-by-step explanation:
Can someone help please!!
Answers
Answer:
75.39 in^2 (round to the nearest hundreds)
Step-by-step explanation:
I think that we have to find the lateral area
circumference = 2 x radius x pi = 2 x 4 x pi = 25,13 in^2 (round to the nearest hundreds)
lateral surface = (circumference x slant height)/2 = (25,13 x 6)/2 = 75,39 in^2 (round to the nearest hundreds)
Can someone help me with this problem
Answers
Answer:
51 degrees
Step-by-step explanation:
As we already know that this triangle is a right triangle.
To find x, you need to subtract both angles.
90 - 39
= 51
Maths
Oder of rotations symmetry and number of lines of symmetry
Answers
Answer:
i) a) 4 lines
b) 1 line
c) 3 line
d) 2 line
ii) don't know
If 1+1= window, 2 + 2 equals...
Answers
Answer:
door?
Step-by-step explanation:
Or is it 2 windows?
The follow-ups to the Window Equation don't as a rule utilize the a additionally image and rises to sign, and are drawn by flipping one of the numbers.
1 + 1 = window
2 + 2 = fish
3 + 3 = eight
4 + 4 = arrow
5 + 5 = apple
6 + 6 = cherry
7 + 7 = triangle
8 + 8 = butterfly
Hope this helps!
Picture below: The steps and associated words showing how to complete the window symbol.
Please help!!!I’ll mark you as brainliest!!!!
Round 0.206896552 to the nearest tenth as a percentage
Answers
Answer:
20%
Step-by-step explanation:
Answer:
20%
Step-by-step explanation:
0.206896552 rounded to the nearest tenth is 0.2 (The 0 in the hundredths place rounds down)
To find 0.2 as a percentage simply multiply it by 100
0.2*100=20%
The triangle has a height of 8 and a base of 14.
What is the area of the triangle?
Answers
Answer:
The answer is 56.
Step-by-step explanation:
The formula for a triangle is b×h÷2. So you just input the data. 8×14÷2.
Find the slope And y-intercept
Answers
Answer:
Answer is (a)
Step-by-step explanation:
Well I didn’t really do any work but you can tell right away theres a ton of slope options so you can’t eliminate from there, BUT when you look at the y-intercept, 3 is the only y-intercept option here and the only choice with the y-intercept of 3 is (a).
Please help.
Is algebra.
Answers
Answer:
question 3= c question 4= a
Step-by-step explanation:
PLEASE HURRY 12 POINTS PLEASE HELPPPPPP
Answers
Step-by-step explanation:
to find the area of a circle, it is pi times radius squared. so 1 times pi squared is pi^2 the area is 4 plus 2pi^2