Answer: b
Step-by-step explanation:
Combine the terms after removing the parentheses.
Reference equation: 4x + 12
a. 4x + 12
b. 4X +7
c. 4x + 12
d. 4x + 12
A. Complete the table if y varies
directly as x or x2
B. Complete the table if y varies inversely as x.
Direct variation is represented by the equation y = k × x and inverse variation is represented by y = k/x
Table 1:
y = k × x
30 = k × 5
30 = 5k
k = 30/5
k = 6
So,
y = 30
y = 30 k = 6
y = 30 k = 6x = 5
y = 30 k = 6x = 5Equation: y = 6x
y = k × x
y = 10 × 8
y = 80
So,
y = 80
y = 80 k = 10
y = 80 k = 10x = 8
y = 80 k = 10x = 8Equation: y = 10x
y = 3x
18 = 3x
x = 18/3
x = 6
So,
y = 18
y = 18k = 3
y = 18k = 3x = 6
y = 18k = 3x = 6Equation: y = 3x
y = 2x²
72 = 2x²
x² = 72/2
x² = 36
x = √36
x = 6
So,
y = 72
y = 72k = 2
y = 72k = 2x = 6
y = 72k = 2x = 6Equation: y = 2x²
Table 2:
y = k/x
5 = k/6
5 × 6 = k
30 = k
So,
y = 5
y = 5k = 30
y = 5k = 30x = 6
y = 5k = 30x = 6Equation: y = 30/x
y = k/x
y = 36/4
y = 9
So,
y = 9
y = 9k = 36
y = 9k = 36x = 4
y = 9k = 36x = 4Equation: y = 36/x
y = 60/x
20 = 60/x
20x = 60
x = 60/20
x = 3
So,
y = 20
y = 20k = 60
y = 20k = 60x = 3
y = 20k = 60x = 3Equation: y = 60/x
y = 24/x
y = 24/12
y = 2
So,
y = 2
y = 2k = 24
y = 2k = 24x = 12
y = 2k = 24x = 12Equation: y = 24/x
Read more:
https://brainly.com/question/472621
6. Order the following decimal numbers
from least to greatest.
0.3
3.45
34.5
1.03
Answer:
In order: 0.3 - 1.03 - 3.45 - 34.5
Step-by-step explanation:
0.3 is less than 1. 1.03 is over 1. 3.45 is over 3. 34.5 is over 34, which is the greatest.
REWARDING BRAINLIEST!
What is the value of x?
Enter your answer in the box.
x =
Answer:
7
Step-by-step explanation:
5/45 = 3/2x+13
your internet provider offers two different plans. One plan costs $.02 per email plus a $9 monthly service charge. the other plan costs $.05 per email with no service charge.
Answer:
Step-by-step explanation:
y=.02x+9 - First Part
y=.05x - Second Part
4-7 questions need help
6.
Which of the following equations describes the graph?
A. y= -2x^2 - 4
B. y= 2x^2 + 4
C. y= -2x^2 + 4
D. y= 2x^2 - 4
Answer:
C. y= -2x^2 + 4
Step-by-step explanation:
Graph the parabola using the direction, vertex, focus, and axis of symmetry.
Direction: Opens Down
Vertex:
(
0
,
−
4
)
Focus:
(
0
,
−
33
8
)
Axis of Symmetry:
x
=
0
Directrix:
y
=
−
31
8
x
y
−
2
−
12
−
1
−
6
0
−
4
1
−
6
2
−
12
________________
Graph the parabola using the direction, vertex, focus, and axis of symmetry.
Direction: Opens Up
Vertex:
(
0
,
4
)
Focus:
(
0
,
33
8
)
Axis of Symmetry:
x
=
0
Directrix:
y
=
31
8
x
y
−
2
12
−
1
6
0
4
1
6
2
12
______________
Graph the parabola using the direction, vertex, focus, and axis of symmetry.
Direction: Opens Down
Vertex:
(
0
,
4
)
Focus:
(
0
,
31
8
)
Axis of Symmetry:
x
=
0
Directrix:
y
=
33
8
x
y
−
2
−
4
−
1
2
0
4
1
2
2
−
4
_______________
Graph the parabola using the direction, vertex, focus, and axis of symmetry.
Direction: Opens Up
Vertex:
(
0
,
−
4
)
Focus:
(
0
,
−
31
8
)
Axis of Symmetry:
x
=
0
Directrix:
y
=
−
33
8
x
y
−
2
4
−
1
−
2
0
−
4
1
−
2
2
4
The maximum land speed of a cheetah is about 120km/hour.
What is this speed limit, rounded to the nearest whole number, in m/s?
Answer:
33 m/s
Step-by-step explanation:
120 km/h × (1 h)/(3600 s) × (1000 m)/(1 km) ≈ 33 m/s
_____
Additional comment
In general, units conversion is done by multiplying by a factor whose numerator and denominator have equal values, but different units. The units in that fraction need to be arranged to cancel the units you don't want and leave the units you do want.
The aquarium in Mrs. Mnon's
class holds 10 gallons. How many
quarts does the tank hold? How
many pints? Please
The work of a student to solve the equation 4(2x − 4) = 8 + 2x + 8 is shown below:
Step 1: 4(2x − 4) = 8 + 2x + 8
Step 2: 6x − 8 = 16 + 2x
Step 3: 6x − 2x = 16 + 8
Step 4: 4x = 24
Step 5: x = 6
In which step did the student first make an error and what is the correct step?
A). Step 2; 8x − 4 = 2(6 + x + 6)
B). Step 2; 8x − 16 = 16 + 2x
C). Step 3; 6x − 2x = 16 − 8
D). Step 3; 6x + 2x = 16 + 8
Answer:
B
Step-by-step explanation:
He added 4 to 2 instead of multiplying.
on weekends a movie ticket costs $10.50. form an inequality and solve it to find the maximum number of tickets kate can buy with $205
STEP BY STEP EXPLANATION PLEASE
$10.50
10 Tickets would be $105.00
$105.00 - $10.50 = $94.50 so 9 Tickets would be $94.50
$105.00 + $94.50 = $199.50
$205.00 - $199.50 = $5.50 which isn't enough for another ticket.
10 Tickets + 9 Tickets = 19 Tickets.
C = 5/9 (F − 32)
The equation above gives the Celsius temperature, C, corresponding to the Fahrenheit temperature, F. Find the Celsius temperature equivalent to 77° F.
A. 25° C
B. 57° C
C. 45° C
D. 30° C
Imagine that you have been asked to write a letter to a 7thgrader. Using academic vocabulary and 5-7 complete sentences, write a letter teaching a 7thgrader about something you have learned in 8thgrade Math this year.
please help me!
Answer:
step 1: what have you learned?
We cant help you because we do not know what you have learned.
but if you comment your vocab words and what u learned i can help you
Step-by-step explanation:
Is this answer right?
Answer:
Step-by-step explanation:
all angles are congruent:false
B.consecutive angles are congruent:false
corresponding angles are congruent:true.
c.diagonals bisect eachother:true.
d.diagonals bisect opposite angles:false.
I need help thanks a lot
Answer:
Below!
Step-by-step explanation:
First, let's simplify the roots for each.
√49 = √7 x 7 = 7√40 = √4 x 10 = 2√10 = 6.32√36 = √6 x 6 = 6Please check out the file so you can see the graphed points on the line. I apologize for the bad mouse-writing.
Hoped this helped.
[tex]BrainiacUser1357[/tex]
Kayden practices the piano 609 minutes in 3 weeks. If t represents the total time he
practices for any number of days, d, write a proportional equation for t in terms of d
that matches the context.
Answer:
Step-by-step explanation:
For a school fund raising project, Aiden and Jacob collected money in the ratio 3.5;6.8. Jacob collected $115.50 more than Aiden. Find the total amount of money they collected
Answer:
Step-by-step explanation:
Gavin deposited $200 into his savings account that is compounded semi-annually at an interest rate of 9%. Gavin hoped he would have enough money in 8 years to buy a $400 gaming console for college. Is Gavin correct? Write and solve an equation, showing your work to justify your answer
Answer:
His answer was correct:
(200*0.09)=18
18*16=288
200+288=488
Blair's average on the first five in-class tests is 67. If this is not pulled up to at least a 70,
Blair will not be allowed to watch any more of their favorite Netflix shows. To avoid
losing those access privileges, what is the lowest score Blair can afford to earn on the last
in-class test? Assume that all tests carry equal weight.
Answer:
85
Step-by-step explanation:
x/5 = 67
x=335
(x+y)/6 = 70
(335+y)/6 = 70
335+y=420
y=85
Answer:
85
Step-by-step explanation:
Average is calculated as
average = [tex]\frac{sum}{count}[/tex]
Here
[tex]\frac{sum}{5}[/tex] = 67 ( multiply both sides by 5 )
sum = 335
let x be the mark required to raise average to 70 , then
[tex]\frac{335+x}{6}[/tex] = 70 ( multiply both sides by 6 )
335 + x = 420 ( subtract 335 from both sides )
x = 85
Blair must score at least 85 on his last test
Use intercepts to graph the equation -x+5y=5
the ratio 18:24 in its simplest form is?
Answer:
3:4
Step-by-step explanation:
18 = 2 * 3 * 3
24 = 2 * 2 * 2 * 3
HCF = 2 * 3 = 6
Divide by 6
18: 24 = 18÷6 : 24÷6
= 3 : 4
Answer:
it's 3:4
Step-by-step explanation:
18 ÷ 6 : 24 ÷ 6
3 : 24 ÷ 6
=3:4
Select the correct answer.
Ann is buying a house that costs $250,000. She is making a down payment of 15 percent, and her closing costs will amount to 3 percent. Over the life of her loan, she will pay $282,089.89 in monthly payments. What is the total cost of her house?
A.
$327,089.89
B.
$338,390.89
C.
$339,560.89
Answer:
c i think
Step-by-step explanation:
I'm sorry if not
given f(x)=2x^3+kx-9 and x-1is a factor of f(x), then what is the value of k?
When it says the "x - 1 " is the factor of that function means when you find the root of the phrase x - 1 which is x = 1 , put it in the function then you have to get zero for the answer :
thus :
[tex]f(1) = 0[/tex]
Thus :
[tex]2 \times {1}^{3} + k(1) - 9 = 0[/tex]
So :
[tex]2 + k - 9 = 0[/tex]
[tex]k - 7 = 0[/tex]
Add both sides 7
[tex]k - 7 + 7 = 0 + 7[/tex]
[tex]k = 7[/tex]
There you go...
Have a great day ❤
YES I WILL MARK BRAINLIST :
Find the 11th term if a8=8 and a20=44.
I need help quick desperate
Please find attached photograph for your answer.
Hope it helps.
Do comment if you have any query.
What is the value of x?
A hexagon (6 sides)
133°
112°
x°
120°
128°
100°
please help asap, no links
Answer:
X is 120° I hope this helps you
Factor out the GCF from the terms of the polynomial –4y^5 + 6y^3 + 8y^2 – 2y.
I know that it is either B or D but I got confused
Answer:
D
Step-by-step explanation:
Find your own values that prove that tan(u-v) does not equal tan u - tan v. Show your work and explain why you chose these values.
To prove that tan(u - v) does not equal tan u - tan v, we start by assuming values for u and v.
To do this, we assume the following values
[tex]\mathbf{u = 75}[/tex]
[tex]\mathbf{v = 45}[/tex]
So, we have:
[tex]\mathbf{tan(u - v) \ne tan(u) - tan(v)}[/tex]
Substitute the assumed values for u and v
[tex]\mathbf{tan(75 - 45) \ne tan(75) - tan(45)}[/tex]
Subtract 45 from 75
[tex]\mathbf{tan(30) \ne tan(75) - tan(45)}[/tex]
Using a calculator, calculate the values of tan(30), tan(45) and tan(75)
So, we have:
[tex]\mathbf{0.5774 \ne 3.7321 - 1}[/tex]
Subtract 1 from 3.7321
[tex]\mathbf{0.5774 \ne 2.7321}[/tex]
Notice that the expression on the left-hand side and the expression on the right-hand side are not equal.
Hence, [tex]\mathbf{tan(u - v) \ne tan(u) - tan(v)}[/tex] is true
Read more about proofs of trigonometry at:
https://brainly.com/question/22698523
If 5 gallons of gas cost $7.79, how much
will 7 gallons cost?
Answer:
$10.91
Step-by-step explanation:
7 gallons cost:
[tex](\frac{7.79}5}) (7)=\frac{(7.79)(7)}{5} =10.906[/tex]
rounded to cents: 10.91
I hope this help you
y = 3x + 21. which ordered pair is a solution to the equation
Answer:
(1, 24 )
Step-by-step explanation:
Substitute any value of x into the equation and evaluate for y
x = 1 → y = 3(1) + 21 = 3 + 21 = 24 , then
(1, 24 ) is a a solution to the equation
How to find left and right inverse of a 3x2 matrix.
Let A be a 3×2 matrix, L its left inverse, and R its right inverse. L and R are then matrices such that LA = I₂ (the 2×2 identity matrix) and AR = I₃ (the 3×3 identity matrix). Clearly L must be 2×3 and R must be 3×2 in order for the matrix products to be defined.
To find L and R, we start by introducing a square matrix on the the left sides of either equation above. In particular, we uniformly multiply both sides by the transpose of A, then solve for the inverse.
For the left inverse, we have
[tex]LA=I[/tex]
[tex](LA)A^\top = IA^\top[/tex]
[tex]L\left(AA^\top\right) = A^\top[/tex]
[tex]\left(L\left(AA^\top\right)\right)\left(AA^\top\right)^{-1} = A^\top \left(AA^\top\right)^{-1}[/tex]
[tex]L\left(\left(AA^\top\right)\left(AA^\top\right)^{-1}\right) = A^\top \left(AA^\top\right)^{-1}[/tex]
[tex]LI = A^\top \left(AA^\top\right)^{-1}[/tex]
[tex]L = A^\top \left(AA^\top\right)^{-1}[/tex]
We do the same thing for the right inverse, but take care with how we multiply both sides of AR = I₃.
[tex]AR=I[/tex]
[tex]A^\top(AR)=A^\top I[/tex]
[tex]\left(A^\top A\right)R = A^\top[/tex]
[tex]\left(A^\top A\right)^{-1} \left(\left(A^\top A\right)R\right) = \left(A^\top A\right)^{-1} A^\top[/tex]
[tex]\left(\left(A^\top A\right)^{-1} \left(A^\top A\right)\right) R = \left(A^\top A\right)^{-1} A^\top[/tex]
[tex]IR = \left(A^\top A\right)^{-1} A^\top[/tex]
[tex]R = \left(A^\top A\right)^{-1} A^\top[/tex]