The graph of the equation y = 4x + 8 is shown. Which TWO statements are correct?
es )
A)
The coordinate pair (0, 10) represents a point on the graph and a solution
to the equation.
B)
The coordinate pair (-1, 4) represents a point on the graph and a solution
to the equation.
0
The coordinate pair (-2, 1) represents a point on the graph and a solution
to the equation.
D)
The coordinate pair (-3, 2) represents a point on the graph and a solution
to the equation
E)
The coordinate pair (-4,-8) represents a point on the graph and a solution
to the equation.
Answers
The correct statements are:
- The coordinate pair (-2, 1) represents a point on the graph and a solution to the equation.
-The coordinate pair (-4, -8) represents a point on the graph and a solution to the equation.
Options C and E are the correct answer.
We have,
The equation y = 4x + 8 represents a linear relationship between x and y.
To determine which statements are correct, we need to substitute the x-coordinate of each given coordinate pair into the equation and see if it satisfies the equation.
A) The coordinate pair (0, 10)
Substituting x = 0 into the equation: y = 4(0) + 8 = 8
So, (0, 10) does not satisfy the equation.
Statement A is incorrect.
B) The coordinate pair (-1, 4)
Substituting x = -1 into the equation: y = 4(-1) + 8 = 4 + 8 = 12
So, (−1, 4) does not satisfy the equation.
Statement B is incorrect.
C) The coordinate pair (-2, 1)
Substituting x = -2 into the equation: y = 4(-2) + 8 = -8 + 8 = 0
So, (−2, 1) does satisfy the equation.
Statement C is correct.
D) The coordinate pair (-3, 2)
Substituting x = -3 into the equation: y = 4(-3) + 8 = -12 + 8 = -4
So, (−3, 2) does not satisfy the equation.
Statement D is incorrect.
E) The coordinate pair (-4, -8)
Substituting x = -4 into the equation: y = 4(-4) + 8 = -16 + 8 = -8
So, (−4, -8) does satisfy the equation.
Statement E is correct.
Therefore,
The correct statements are:
- The coordinate pair (-2, 1) represents a point on the graph and a solution to the equation.
-The coordinate pair (-4, -8) represents a point on the graph and a solution to the equation.
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Related Questions
Find the circumference of each circle. Use 3.14 or 22/7 for T. Round to the
nearest tenth if necessary.
Answers
Answer:
4. Circumference = diameter × π
8× 3. 14= 25. 12 ~25. 1
5. 13×3. 14= 40. 82 ~40. 8
6. Diameter= radius ×2
3. 5×2=7
Diameter = 7
7× 3. 14= 21. 98 ~22
Which words name the shape?
Answers
Answer: B, Parallelogram, and rectangle
Step-by-step explanation:
A parallelogram requires two parallel sides which that shape has.
A rectangle requires all angles to be right angles and that shape has all angles being right angles.
The shape is not a rhombus since all sides are not the same and it's not a square for the same reason.
Which of the following is the correct algebraic representation of the translation below?
Answers
if you roll a dice one time what is the probability for it to land on a number greater than 2
Answers
Answer:
4/6
Step-by-step explanation:
This is because there is 6 sides to a dice and the side with 1 and 2 are the only sides with numbers less than 2. So only 4 sides out of the 6 can be greater giving the answer 4/6!
Enter the value of
(0.01)(−0.1)(10)(−100)
Answers
The value of the expression (0.01) × (−0.1) × (10) × (−100) will be 1.
What is the value of the expression?When the relevant components and basic processes of a numerical method are given values, the expression's result is the result of the computation it depicts.
The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.
The expression is given below.
⇒ (0.01) × (−0.1) × (10) × (−100)
Simplify the expression, then we have
⇒ (0.01) × (−0.1) × (10) × (−100)
⇒ (0.01) × (0.1) × (10) × (100)
⇒ 1
The value of the expression (0.01) × (−0.1) × (10) × (−100) will be 1.
More about the value of the expression link is given below.
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Jay wants to spend less than $80 He plans to buy a pair of jeans that cost $19.99 and some shirts that cost \$14.99 each Write an equation or inequality to represent the number of shirts Jay can buy Define all variables used • What is the greatest number of shirts that Jay can buy while spending less than $80 ? Show your work
Answers
Answer:
give me brainllest if it is right
a. $19.99 + $14.99 = $34.98
b. Jay can buy 5 shirts without spending more than $80
Step-by-step explanation:
Which ones the right answer?
Answers
The answer is D. (7,8)
You are able to count from 0 to ten, and you always put the x number first!
Hope this helps :)
Teachers were told that next year they would receive a percent increase in their salary. Mrs. Bennett is making $32,000 a year and will receive $2,550.00 more next year. What is the percent increase? Round to the nearest percent. I need this answer ASAP please and thank you!
Answers
Answer:
7.97%
Step-by-step explanation:
Given data
Original Salary= $32,000
Increase= $2,550.00
percent increase= increase/original *100
Percent increase= 2,550.00/32000*100
Percent increase= 0.0796875*100
Percent increase= 7.97%
Hence the increase is 7.97%
Since there are no restrictions on the strings, we can think of this problem as drawing 5 random digits in sequence. There is a 9/10 chance each time we draw to NOT get a 4. Every time we draw, we multiply by 9/10 again until we've draw 5 digits. Thus, the answer is (9/10)^5 :)
Answers
Answer:
[tex]Pr = 0.59049[/tex]
Step-by-step explanation:
See Comment for Complete Question
Given that A has 5 digits. A digit in A can be chosen from 0 to 9 (10 digits).
However, selection without 4 means that we can only select from 0 to 3 and 5 to 9 (altogether, that is 9 digits)
The probability of selecting a number other than 4 in each of the digit is:
[tex]1st \to \frac{9}{10}[/tex]
[tex]2nd \to \frac{9}{10}[/tex]
[tex]3rd \to \frac{9}{10}[/tex]
[tex]4th \to \frac{9}{10}[/tex]
[tex]5th \to \frac{9}{10}[/tex]
So, the required probability is:
[tex]Pr = 1st * 2nd * 3rd * 4th * 5th[/tex]
[tex]Pr = \frac{9}{10} *\frac{9}{10} *\frac{9}{10} *\frac{9}{10} *\frac{9}{10}[/tex]
[tex]Pr = \frac{9^5}{10^5}[/tex]
[tex]Pr = \frac{59049}{100000}[/tex]
[tex]Pr = 0.59049[/tex]
A certain television is advertised as a 85 inch TV if the width of the TV is 67 how tall is the TV
Answers
Answer:
Step-by-step explanation:
Apply the Pythagorean Theorem:
85^2 = 67^2 + h^2, where h is the height of the TV
Then 7225 = 4489 + h^2, or
h^2 = 2736, or h = +√2736 = 52.3 inches
The TV is 52.30 inches tall if the television is advertised as an 85-inch TV if the width of the TV is 67.
What is a right-angle triangle?It is defined as a triangle in which one angle is 90 degrees and the other two angles are acute angles. In a right-angled triangle, the name of the sides are hypotenuse, perpendicular, and base.
We have:
A certain television is advertised as a 85 inch TV
It means the diagonal length is 85 inches.
Width of the TV = 67 inches
Let's suppose the TV is x inches Tall
So from the Pythagoras theorem:
[tex]\rm 85^2 = x^2+67^2[/tex]
7225 = x² + 4489
x = 52.30 inches
Thus, the TV is 52.30 inches tall if the television is advertised as an 85-inch TV if the width of the TV is 67.
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Someone answer this for me
Answers
Answer:
I think it is B or 17 ft
Step-by-step explanation:
Hope this helps. Tell me if I'm wrong
Answer: Probably 30
Step-by-step explanation: If you multiply 12 x 5 = 60, which we don't see that answer. I'll say C because 12 + 12 is 24. Add 5 and you get 29. The closer answer to 29 is 30. I could be wrong because I'm only in Middle School and kinda get confused with questions like these.
Tony bought a computer. He paid $450.00 plus sales tax. The sales tax
was 6%. How much did he pay in sales tax?
Answers
Answer:
$27
Step-by-step explanation:
We have to find 6% of $450. We can make an expression and solve it:
6/100•450
We can cancel out factors now:
3/50•450
Now we'll cancel out 50 and 450:
3x9=$27
And that's your answer! Hope this helps =)
Please help me with this homework show me how you get it and the answer
Answers
Answer:
Step-by-step explanation:
V = 1/3πr^2h
Putting values
V = 1/3(3.14)(4)^2(3)
= 50.24
f(x) = x2. What is g(x)?
Answers
Answer:
B
Step-by-step explanation:
Graph shrinks, that means for every x value there is a higher y value. So coefficient of x is definitely more than 1. Try to substitute x = 1 to (9x)^2 and (3x)^2.
(3(1))^2 = 9
Review the graph of function h(x).
What is lim h(x), if it exists?
Answers
Answer:
0
Step-by-step explanation:
because you have to look at what both sides of the graph is doing as it approaches 2.
from the left, we can see the the graph is going down All the way to 0 at x=2.
and from the right side, the graph is going up to 0 at x=2.
therefore the graph is approaching 0.
The limit of h(x) as x tends to 2 is equal to 0.
How to get the limit of h(x) when x tend to 2?
Remember that a limit is not the same as an evaluation, the limit studies the behavior of the function near the value, not in x = 2.
While we can see that h(2) = 3 (we have a jump there). We can see that around x = 2 the function tends to zero.
From that, we conclude that:
[tex]\lim_{x \to \ 2} h(x) = 0.[/tex]
Then the correct option is the first one.
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What percent df 160 is 56? Use the percent bar model.
Answers
Answer:
35%
i think
Step-by-step explanation:
PLEASE ANSWER ASAP NO LINKS!!!!
Answers
Answer:
a
Step-by-step explanation:
same slope
Answer:
d
Step-by-step explanation:
i say this because of the reason of how the line goes along the y and x
2.
When dropped, a golf ball bounces to
75% of its previous height on each
successive bounce. Someone drops a golf
ball from the top of Burj Khalifa in
Dubai, and its first bounce reaches 2041.5
feet. What is the peak height of the ball
after the tenth bounce?
A) 273 ft.
B) 204 ft.
153 ft.
D) 114 ft.
E) 340 ft
Answers
please help me :))) i really need help
Answers
Is this proportional or non proportional and why
Answers
Given:
The table of values.
To find:
Whether the given relation in the table is proportional or non proportional.
Solution:
If y is directly proportional to x, then
[tex]y\propto x[/tex]
[tex]y=kx[/tex]
[tex]\dfrac{y}{x}=k[/tex]
Where, k is the constant of proportionality.
It means the ratio of y and x remains same for proportional relation.
From the given table, the points are (10,18), (11,18.6) and (12,19.2). The ratio of y to x for these points are:
[tex]\dfrac{18}{10}=1.8[/tex]
[tex]\dfrac{18.6}{11}\approx 1.69[/tex]
[tex]\dfrac{19.2}{12}=1.6[/tex]
Since the ratio of y to x for the given points are not equal, therefore the given relation is a non proportional relation.
Given the three functions: f(x)=4(2) g(x)=8x² + 24x , and h(x)= 4x + 8
Label each function as quadratic, linear, or exponential.
f(x)=
g(x)=
h(x)=
Answers
Answer:
f(x)=exponential
g(x)= quadratic
h(x)= linear
Step-by-step explanation:
exponential function
[tex] {ab}^{x} [/tex]
Quadratic function
[tex]a {x}^{2} + bx + c[/tex]
Linear function
[tex]y = mx + c[/tex]
Hi there!
[tex] \large \boxed{ y = {a}^{x} \: \: (a \neq 0, \: a > 1)}[/tex]
The equation above is an exponential family type.
[tex] \large \boxed{y = a {x}^{2} + bx + c \: \: (a \neq 0)}[/tex]
The equation above is quadratic type.
[tex] \large \boxed{ y = mx + b}[/tex]
The last type above is a linear type.
Hence, the answers are:
f(x) = exponentialg(x) = quadratich(x) = linearFind the slope of the line that passes through each pair of points.
Answers
Answer:
0.5
Step-by-step explanation:
Slope (m) =
ΔY
ΔX
=
1
2
= 0.5
θ =
arctan( ΔY ) + 180°
ΔX
= 206.56505117708°
ΔX = 0 – 2 = -2
ΔY = 0 – 1 = -1
Distance (d) = √ΔX2 + ΔY2 = √5 = 2.2360679774998
Equation of the line:
y = 0.5x
When x=0, y = 0
When y=0, x = -0
BRAINIEST PLEASE??
PLEASE MAKE ANSWER CLEAR
Sandy has a total of 35 coins in her money jar. If Sandy's jar contains only nickels and dimes and the value ol
the coins is $2.50, how many nickels does Sandy have?
Answers
let nickel be x, dime be y
x + y = 35 ... ( 1 )
5x + 10 y = 250
5 ( x + 2y ) = 250
x + 2y = 50 ... ( 2 )
in ( 1 )
x = 35 - y ( 3 )
sub ( 3 ) into ( 2 )
( 35 - y ) + 2y = 50
y = 15
sub y into ( 1 )
x + y = 35
x + 15 = 35
x = 20
therefore, Sandy has 20 nickels and 15 dimes
what is
25% * 1.5 in a fraction
Answers
Answer:
3/8
Step-by-step explanation:
If ive read this correctly it's asking what is 25% times 1.5, that would be 0.25 times 1.5 which is 0.375 turned into a fraction could be 375/1000 or simplified would be 3/8 as both are divisable by 125.
A baseball is hit into the air with an initial vertical velocity of 48 feet per second from
an initial height of 3 feet. How many seconds does it take for the ball to hit the
ground?
Answers
Answer:
16
Step-by-step explanation:
just follow for more answers
Help me solve this, for 15 points, I need it for my homework teehee.
Answers
Answer:
its wrong because verticle angles would need to be opposite of each other, not right next to each other. ACB and FCE would be correct
Step-by-step explanation:
im not too sure how to explain it, verticle angles are across from each other
3) Using your graphing calculator, create a graph of the function f(x) = x2 + 4x + 3 What is the vertex? What are the roots? What is the equation of the axis of symmetry?
Answers
Answer:
Step-by-step explanation:
Input the function f(x) = x^2 + 4x + 3 and graph it (using the calculator) for the interval [-5, 5]. The roots are the x values at which this graph crosses the x axis and are {-3, -1). The axis of symmetry is the vertical line through x = -2.
7676767676767676767676767
Answers
Answer:
uhhh is this a trick question lol
have a good day :D
Step-by-step explanation:
help please please please
Answers
Answer:1152 miles
Step-by-step explanation: we know he can drive 384 in 6 hours so if we multiply 6 by 3 its 18 so we must multiply 384 by 3 and the answer would be 1152
*** 10 points**** if you help me
Answers
Answer:
h squared is 65 but h is 8.06
Step-by-step explanation:
use the pythagorean theorem
7^2+4^2=
49+16= 65
square root of 65 is 8.06
hope this helps