Answer:
Here is the summary of true statements:
A) The statement of the function modeled is (0, 3) is TRUE.
D) the equation for the line function is y = 2x+3 is TRUE.
E) the given table represents the linear function is TRUE
Step-by-step explanation:
Given the table
x 1 3 5 7
y 5 9 13 17
E)
It is clear that there is a CONSTANT CHANGE in the x and y values of the graph.
THE CONSTANT CHANGE IN X VALUES
i.e. 3-1=2, 5-3=2, 7-5=2
THE CONSTANT CHANGE IN Y VALUES
i.e. 9-5 = 4, 13 - 9 = 4, 17 - 13 = 4
Thus, the given table represents the linear function is TRUE
B)
It is clear that the value of y increase as the value of x increases.
Thus, the statement ''the value of y decreases as the value of x increases'' is FALSE!
D)
We know that the slop-intercept form of the line equation is
[tex]y = mx+b[/tex]
where m is the slope and b is the y-intercept.
Determining the equation
Taking two points
(1, 5)
(3, 9)
Finding the slope between (1, 5) and (3, 9)
Using the formula
Slope = m = [y₂ - y₁] / [x₂ - x₁]
= [9 - 5] / [3 - 1]
= 4 / 2
= 2
Thus, the slope of the line = m = 2
now substituting m = 2 and the point (1, 5) to determine the y-intercept
y = mx+b
5 = 2(1) + b
b = 5-2
b = 3
Thus, the value of y-intercept b = 3
substituting b = 3 and m = 2 in the slope-intercept form
y = mx+b
y = 2x+3
Therefore, the equation for the line function is y = 2x+3 is TRUE
A)
We know that the value of the y-intercept can be determined by setting x = 0, and determining the corresponding value of y.
We already know that the y-intercept b = 3
It means the y-intercept modeled is (0, 3)
Therefore, the statement of the function modeled is (0, 3) is TRUE.
C)
We have already got the equation
y = 2x+3
substituting x = 8
y = 2(8)+3
y = 10+3
y = 13
so at x = 8, the value of y = 13
Therefore, the statement that the ''On a graph of the function when x = 8, the value of y will be 2'' is FALSE!
Conclusion:
Here is the summary of true statements:
A) The statement of the function modeled is (0, 3) is TRUE.
D) the equation for the line function is y = 2x+3 is TRUE.
E) the given table represents the linear function is TRUE
Which expression is equivalent to 1/4 - 3/4x
Answer:
-3/4x + 1/4
Step-by-step explanation:
What is the first step in solving the inequality. 32≥5−3x
Answer: Simplify
Step-by-step explanation:
y= -5/3x + 3
y= 1/3x - 3
Answer:
y =-2/3x
x = 1
Step-by-step explanation:
adding both equations and then we find the value of y which is given below
y = -2/3x
and then putting the value of y in any above equation then we find the value of X which is given below
X = 1
HELP HELP HELP pleaseesjnsnsns
Answer:
C.
Step-by-step explanation:
12x+3 add them together
Can somebody help me with this please
Answer:
Domain: [ 0,∞), {x|x ≥ 0}
Range: (-∞,-4], {yly ≤ -4}
Step-by-step explanation:
Which of the following is not a geometric tool?
A.Compass
B.Pen
C.Protractor
D.Set Squares
Answer:
C. Protractor
Answer:
A
Step-by-step explanation:
A compass is for directions.
True or False: If there are multiple operations inside a parentheses, you do not need to complete these in the order of PEMDAS.
Answer:
False
Step-by-step explanation:
I would say false. The operations inside should always go by PEMDAS unless instructed otherwise
Answer:
FALSE
Step-by-step explanation:
Within a set of parentheses, the order of operations should be followed. This is because you will get the wrong answer if you don't.
Hector spent $41.75 for 2 DVDs that cost the same amount. The sales tax on his purchase was $3.15. Hector also used a coupon for $1.00 off his purchase. How much did each DVD cost?
Given:
Amount spent on 2 DVDs = $41.75
Sales tax = $3.15
Coupon = $1.00 off
To find:
The cost of each DVD.
Solution:
Let x be the cost of each DVD.
Then, cost of two DVDs = 2x
Amount spent of 2 DVDs = Cost of 2 DVDs + Sales tax - Coupon discount
[tex]41.75=2x+3.15-1.00[/tex]
[tex]41.75=2x+2.15[/tex]
[tex]41.75-2.15=2x[/tex]
[tex]39.6=2x[/tex]
Divide both sides by 2.
[tex]\dfrac{39.6}{2}=x[/tex]
[tex]19.8=x[/tex]
Therefore, the cost of each DVD is $19.8.
Pattern A start at 20 and has the rule subtract 2. Pattern b starts at 20 and has the rule subtract 1. Which shows the first several terms of patterns A and b
Answer:
c.
Pattern A: 20, 18, 16, 14, 12, 10
Pattern B: 20, 19, 18, 17, 16, 15
Step-by-step explanation:
Pattern A starts at 20 and the rule is to subtract 2. The terms will therefore be:
= 20, 18, 16, 14, 12, 10
The numbers above were gotten by subtracting 2 from each term for the next term.
Pattern B starts at 20 and the rule is to subtract 1. The terms will be:
= 20, 19, 18, 17, 16, 15
Correct option is therefore option C.
On a number line point x is located at 2 / 3 on a second number line point y is the same distance from zero as point x what has a numerator of 8 what is the in denominator of y
Answer:
12
Step-by-step explanation:
Given that :
Point X on number line 1 from 0= 2/3
Point Y on number line 2 from 0 = same distance as point X on number line
Point Y has a denominator of 8 ; the numerator is thus;°
Let denominator = d ; Fraction becomes 8/d
Thus `
Point X on 1 = point Y
2/3 = 8/ d
2d = 3 * 8
2d = 24
d = 12
How many times dose 3/4 go into 7 1/2
evaluate the following by writing it as a difference of two squares first : 104^2 - 96^2
Answer:
(502)2 - (498)2
Step-by-step explanation:
(502)2 - (498)2
Solution:
(502)2 -(498)2
Since the given algebraic expression is in the form of a2 – b2 so, here we will directly apply the formula a2 - b2 = (a + b) (a – b) to evaluate the difference of two squares.
HOPE IT HELPS YOU!!!The difference of the squares of, 104² - 96², can be written as: (104 - 96)(104 + 96).
It is evaluated as: 104² - 96² = 1,600
Recall:
The difference of two squares, i.e. x² - y², can be expressed and evaluated as;
x² - y² = (x - y)(x + y)Given:
104² - 96²
The difference can be expressed and evaluated as shown below:
104² - 96² = (104 - 96)(104 + 96)
104² - 96² = (8)(200)
104² - 96² = 1,600Therefore, the difference of the squares of, 104² - 96², can be written as: (104 - 96)(104 + 96).
It is evaluated as: 104² - 96² = 1,600
Learn more here:
https://brainly.com/question/17018316
3 which number line best represents 2÷1/4
Answer:
the second choice
Step-by-step explanation:
2 has to be divided into 8 parts in total which is shown by option B
The sequence below shows the number of bacteria Arjun observed each hour for a science experiment:
5, 20, 80, 320, 1, 280,...
Which recursive function describes the number of bacteria observed at the nth hour?
Answer: f(1) =5
f(n+1)=4f(n)
Step-by-step explanation:
1. Identify whether this equation has a solution that is positive, negative, or zero:
3x - 5= -3
1. positive
2.negative
3.Zero
what is this equation simplified as?
Answer:
-14/25
Step-by-step explanation:
:D
When Nancy started middle school, she was 60 inches tall. When she started high school, she was 66 inches tall. What was the percent change in her height?
A. 6 percent increase
B. 9 percent increase
C. 10 percent increase
D. 90 percent increase
Answer:
C.
Step-by-step explanation:
Select ALL that apply.
Answer:
your picture is not loading for me
Write a story that could represent this math problem.
Answer:
Every year, my aunt Yannah makes 4 Pumpkin Pies for thanksgiving. She always cuts them into 8th's for all of us and for me and my family to share. This year, only 3/8 was eaten of each Pumpkin Pie. I want to know how much of the Pumpkin Pie was eaten, and if my aunt Yannah should make less pie next year?
That is the story ^
|
ANSWER: 12/8
Pls AWNSER this one question thanks!
9514 1404 393
Answer:
2) y = kx
Step-by-step explanation:
Direct variation is described by the formula ...
y = kx
where 'k' is the constant of proportionality.
10. What is the value of xin the equation below?
4
2
+
7
2
Mr Martin has 120 CDs. The ratio of indie CDs to dance CDs is 5:7. How many of each type of CDs does he have.
Answer
Martin has 50 indie CDs and 70 dance CDs
Step-by-step explanation:
5+7=12 120/12 =10 10x5=50 and 10x7=70 So Martin has 50 indie cds and 70 dance CDs
PLz help i dont want to fail
Answer:
D
Step-by-step explanation:
Graph the solutions of the linear inequality 3x + 3y > 6 .
A train travelled 300 kilometres in 5 hours. Find it's rate of speed
Answer:
The train traveled 60 kilometers per hour.
Step-by-step explanation:
300/5=60
Answer:
60 km/hours
Step-by-step explanation:
in the picture above.
Tell whether the ordered pair is a solution of the given system:
(0,0) ; {y<-x+3
{y
Answer:
yes the ordered pair is a solution
Step-by-step explanation:
(x, y) = (0,0)
y < -x + 3
0 < - (0) + 3
0 < 3
true, ordered pair is a solution
I need help with this plz
19/10 equals x - 23/6
Please help me quickly!!!
Answer:
7 17/60
Step-by-step explanation:
you do 6x10 witch is 60 then you do 19 x 23 witch is 437 then divide that by 60 and that is 7 and you have 17 leftover
jackson has $19 savings account the interest rate is 15% per year and is not compounded how much will he have in 3 years? use formula i=p*r*t, where i is the interest earned, p is the starting amount, r is the interest rate expressed as a decimal, and t is the times in years.
Answer:
I = 19 X 0.15 X 3= 8.55
I = $8.55
I WILL GIVE BRAINLIEST TO RIGHT ANSWER
write an equation of the line in a slope intercept form has a slope of -1/2 and passes through the point (2, 3)
Answer:
y = -¹/₂ x + 4Step-by-step explanation:
The point-slope form of the equation is y - y₀ = m(x - x₀), where (x₀, y₀) is any point the line passes through and m is the slope:
m = -¹/₂
(2, 3) ⇒ x₀ = 2, y₀ = 3
The point-slope form of the equation:
y - 3 = -¹/₂ (x - 2)
So:
y - 3 = -¹/₂ x + 1 {add 3 to both sides}
y = -¹/₂ x + 4 ← the slope-intercept form of the equation