Determine any data values that are missing from the table, assuming that the data represent a linear function.
X
ly
1
2
12
16
4
a.
2
10
b.
C. 14
d. 16
Answers
Answer:
Fill in the blank with 14
Step-by-step explanation:
Given
The attached table
Required
Fill in the gap
Since, the table represents a linear function.
The first step is to calculate the slope of the table
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
Where
[tex](x_1,y_1) = (1,2)[/tex]
[tex](x_2,y_2) = (2,6)[/tex]
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
[tex]m = \frac{6 - 2}{2 - 1}[/tex]
[tex]m = \frac{4}{1}[/tex]
[tex]m=4[/tex]
The equation of the table is calculated next as:
[tex]y - y_1 = m(x - x_1)[/tex]
This becomes
[tex]y - 2 = 4(x - 1)[/tex]
[tex]y - 2 = 4x - 4[/tex]
Solve for y
[tex]y = 4x - 4+2[/tex]
[tex]y = 4x -2[/tex]
To fill in the blank;
The value of x is 4
So, substitute 4 for x in [tex]y = 4x -2[/tex]
[tex]y = 4 * 4 - 2[/tex]
[tex]y = 16 - 2[/tex]
[tex]y = 14[/tex]
Related Questions
5(x-3y)-2x=6 and x=3y
Solve the equations please by substitution
Answers
hope this helped !!
Answer for the first equation:
(7, -1)
Step-by-step explanation:
Original Equation: 5(x - 3y) - 2x = 6 When x = 3y
Substitute in the 3y for x:
5(3y - 3y) - 2(3y) = 6
5(0) - 6y = 6
-6y = 6
y = -1
Plug -1 in for y in the original equation:
5(x -3(-1)) - 2x = 6
5(x + 3) - 2x = 6
5x + 15 - 2x = 6
3x + 15 = 6
3x = -9
x = -3
Select the correct answer.
ΔABC with vertices A(-3, 0), B(-2, 3), C(-1, 1) is rotated 180° clockwise about the origin. It is then reflected across the line y = -x. What are the coordinates of the vertices of the image?
A.
A'(0, 3), B'(2, 3), C'(1, 1)
B.
A'(0, -3), B'(3, -2), C'(1, -1)
C.
A'(-3, 0), B'(-3, 2), C'(-1, 1)
D.
A'(0, -3), B'(-2, -3), C'(-1, -1)
Answers
Answer:
the answer is d. hope this helps
Answer:
D.
A'(0, -3), B'(-2, -3), C'(-1, -1)
Step-by-step explanation:
PLATO2022 LNHS
find the x and y intercept and the slope of the graph of 8x-6y=24
Answers
Answer:
the x intersept is 3 the y intercept is 4
Step-by-step explanation:
x intersept : 24/8 = 3
y intersept : 24/6 =4
While bolling with friends, Brandy rolls a strike in 2 out of 10 frames. What is the experimental probability that Brandy will roll a strike in the first frame of the game?
Answers
Help plsssss is due at 11:59 I don’t have much time
Answers
–10 – (–3) = ?????
PLEASE HELP
Answers
Answer:
-7
Step-by-step explanation:
−10−(−3)
=−10−(−3)
=−10+3
=−7
Answer:
-7
you're welcome
The area of cross section of a prism is 45cm² and its height is,10cm. Find its volume
Answers
Answer:
The Volume of triangular prism
V = 450 cm³
Step-by-step explanation:
Explanation:-
Given The area of cross section of a prism A = 45cm²
and height (h) = 10 cm
The Volume of triangular prism
V = ( Base area X Height )
= 45 X 10
= 450 cm³
The Volume of triangular prism
V = 450 cm³
Which ordered pair is a solution to the following linear system
Answers
Answer:
am confused
Step-by-step explanation:
Step-by-step explanation:
sorry Im not sure what the question is
what is the standard form of (x + 1 + i)(x + 1 − i)
Answers
Answer:
hope it helps
Step-by-step explanation:
please mark me as brainliest thank you
a. -6 + 2x + 4 + 3x - (-2)
What is the answer?
Answers
Answer:
5x
Step-by-step explanation:
-6 + 2x + 4 + 3x - (-2)
rearrange to make it easier to solve
2x + 3x - 6 + 4 - (-2)
add like terms, negative time negative is positive
5x - 2 + 2
5x
.
The school band decided to make pizza kits to sell for their fundraiser.
The materials cost them $
1500, and they sold the pizza kits for $8.50 a
kit. The Function below can be used to find the profit p(x), where x is
the nunuer of kits sold.
P(x) = 8.50x- 1500
If the band made a profit of $2920, how many pizza kits were sold?
a. 167 kits
b. 344 kits
C. 402 kits
d. 520 kits
Answers
Answer:
520
Step-by-step explanation:
Given that:
Profit function p(x) is :
P(x) = 8.50x- 1500
If the profit made = $2920 ; the number of pizza kits sold is :
Then p(x) = 2920
Putting p(x) = 2920 in the equation :
2920 = 8.50x - 1500
2920 + 1500 = 8.50x
4420 = 8.50x
Divide both sides by 8.50
4420 / 8.50 = 8.50x / 8.50
520 = x
Hence, number of pizza kits sold is 520
Answer:
Step-by-step explanation:
569
(-6y + 8y4 − 5)(y2 − 11y)
Answers
Answer:
[tex]- 8y^6 - 88y^5-6y^3 + 71y^2 + 55y[/tex]
Step-by-step explanation:
Given
[tex](-6y + 8y^4 - 5)(y^2 - 11y)[/tex]
Required
Evaluate
[tex](-6y + 8y^4 - 5)(y^2 - 11y)[/tex]
Expand Brackets
[tex]y^2(-6y + 8y^4 - 5)- 11y(-6y + 8y^4 - 5)[/tex]
Open brackets
[tex]-6y^3 - 8y^6 + 5y^2 + 66y^2 - 88y^5 + 55y[/tex]
Collect Like Terms
[tex]- 8y^6 - 88y^5-6y^3 + 5y^2 + 66y^2 + 55y[/tex]
[tex]- 8y^6 - 88y^5-6y^3 + 71y^2 + 55y[/tex]
Simplify 3(x- 4) + 8(x+ 2).
O 11x - 4
O 11x +4
O 11x -2
Answers
Answer:
11x +4
Step-by-step explanation:
Which of the folling equals (-19^-12X(-19)^4? -19^-36, -19^-8, -19^16, -19^-3
Answers
Answer:
[tex]\huge\boxed{(-19)^{-8}=19^{-8}}[/tex]
Step-by-step explanation:
Use
[tex]a^n\times a^m=a^{n+m}[/tex]
[tex](-19)^{-12}\times(-19)^4=(-19)^{-12+4}=(-19)^{-8}[/tex]
Answer:
They r correct lol
Step-by-step explanation:
The mean balance of all checking accounts at a bank on December 31, 2005, was $900. A random sample of 53 checking accounts taken recently from this bank gave a mean balance of $841 with a standard deviation of $190. Using the 1% significance level, can you conclude that the mean balance of such accounts has decreased during this period
Answers
Answer:
Step-by-step explanation:
Given that:
The population mean μ = 900
The sample size n = 53
The sample mean = 841
The standard deviation = 190
The level of significance = 0.01
To test the claim that the mean balance of the accounts has decreased during the period.
The null and the alternative hypothesis can be computed as:
[tex]H_o : \mu \ge 900 \\ \\ H_1 : \mu < 900[/tex]
This is a left-tailed test since the alternative is less than 900
The test statistics can be computed as:
[tex]Z = \dfrac{\overline x - \mu}{\dfrac{s}{\sqrt{n}} }[/tex]
[tex]Z = \dfrac{841 -900}{\dfrac{190}{\sqrt{53}} }[/tex]
[tex]Z = \dfrac{-59}{\dfrac{190}{7.28}}[/tex]
Z = -2.26
The p-value = P(Z < -2.26)
From the z-tables
The p-value = 0.01191
The p-value ≅ 0.012
Decision rule: To reject the null hypothesis if the significance level is > p-value.
We failed to reject the null hypothesis.
Conclusion: Thus, there is insufficient evidence to conclude that such accounts mean balance has decreased during this period.
A cook used 6 gal of cooking oil last month. She used 15% less this
month. How much cooking oil did she use this month?
Answers
Answer:
100%-15%=85%
She used 85% of the total oil for last month
So 6gallons × 85 ÷ 100 = 5.1 gal
find the product of (2x+4)(5x-3y)(8x+4y).
please help me solve this asap
Answers
= (10x^2 - 6xy + 20x - 12y)(8x+4y)
=80x^3+40x^2y-48x^2y-24xy^2+160x^2+80xy-96xy-48y^2
= 80x^3-8x^2y-72xy^2+160x^2-16xy
Answer:
80^3 - 8x^2y - 72xy^2 + 160^2 - 16xy
Eloise bought 2 boxes of crackers to share with her friends. Her friends ate 1/2 of the first box and 2/3 of the second box.
How many boxes were left over?
a.1/2 box
b.3/5 box
c.5/6 box
d.1 2/5 boxes
Answers
Answer:
5/6 of a box is left over.
Step-by-step explanation:
2 - 1/2 - 2/3 = 0.83333333333
0.83333333333 in fraction form is 5/6.
what is the solution of the equation?
-5=q+2
Answers
Step-by-step explanation:
-5=q+2
-5+2=q
q= -3
hope it helps.
Answer:
q = -7
Step-by-step explanation:
q+2=-5
subtract 2 from both sides
q+2-2=-5-2
q+0=-7
q=-7
Hope this helps. Have a nice day. May it be filled with joy and happiness. Please, stay safe and wash your hands. Happy Holidays.
Convert 60 quarts to gallons. 60 qt = ? gal Will the converted amount have more or fewer units than the original?
Answers
Answer: 15 gallons .
Step-by-step explanation:
Step 1
4 quarts = 1 gallon
therefore 60 quarts = (60 quarts x 1 gallon) / 4 quarts
= 15 gallons .
Step 2-- The converted amount which is 15 has fewer units than the original which is 60.
What is the equation of a line with a slope of
(-2, -4)?
that passes through the point,
O A. y--d
OB. y--2
O C. y= 2x- 4
ODy--3
Answers
Answer: D. 1/2x - 3
Hope this helps :)
what is the reciprocal of 8/5?
Answers
Answer:
5/8
Step-by-step explanation:
To find the reciprocal, flip the fraction. The sign remains the same.
The reciprocal of 8/5 is 5/8.
Answer: 5/8
Answer:
D
Step-by-step explanation:
In a scale of an apartment,1 centimeter represents 2 3/4 feet, if the length of the kitchen is 4 1/2 cm on the scale drawing what is the actual length in feet of the kitchen
Answers
Answer:
Step-by-step explanation:
12 3/8
PLEASE I REALLY NEED HELP
Please please please
A contractor needs to buy nails to build a house. The nails come in small boxes and large boxes. Each small box has 50 nails and each large box has 350 nails. The contractor bought 5 more large boxes large boxes than small boxes, which altogether had 2550 nails. Determine the number of small boxes purchased and the number of large boxes purchased.
Answers
Answer:
Number of small boxes purchased : 2
Number of large boxes purchased : 5
Step-by-step explanation:
Let,
x be the number of small boxes of nails purchased
y be the number of large boxes of nails bought
Then according to given statement;
50x+350y = 2550 Eqn 1
y = x+5 Eqn 2
Putting value of y from Eqn 2 in Eqn 1
50x + 350(x+5) = 2550
50x + 350x + 1750 = 2550
400x = 2550-1750
400x = 800
Dividing both sides by 400
[tex]\frac{400x}{400}=\frac{800}{400}\\x=2[/tex]
Putting x=2 in Eqn 2
y = 2+5
y = 7
Hence,
Number of small boxes purchased : 2
Number of large boxes purchased : 5
f(x) = x^2. What is g(x)?
Answers
Answer:
D. just sub x = 1, and if the y you get is 5 then that's the answer
Solve for the missing variable(s) and SHOW ALL WORK
Answers
Answer:
x = 4
Step-by-step explanation:
From the pythagoras theorem
(x+2)^2 = x(5+x)
x^2 + 4x + 4 = 5x + x^2
x^2 + 4x + 4 - 5x - x^2 = 0
-x + 4 = 0
4 = x
Write the equation of a circle with a center at (-1, 2) and radius of 7. Explain how you wrote your equation.please help
Answers
Answer:
idek
Step-by-step explanation:
There are 30 marbles in a bag. 24 of them are blue. What percentage of the marbles are blue?
Answers
Answer:
80%
Step-by-step explanation:
24/30 = x/100
100/30= 3 1/3
24 x 3 1/3= 80
What value of x will make the polygon a parallelogram?
Answers
Step-by-step explanation:
In a parallelogram, opposite sides are equal.
Hence 3x = 6 and x = 2.
pls help asap!!!!!!!!
Answers
Answer:
I think option B is correct
generosity
hope my answer is helpful to you
plz mark me as brainlist