Answer:
A, D, E
Step-by-step explanation:
The statements that are true about the graph of the function are
The function in vertex form is f(x) = (x - 4)^2 - 11.The y-intercept of the function is (0,5).The function crosses the x-axis twiceVertex and intercept of a functionThe standard equation of a function in vertex form is expreseed as:
a(x-h)^2 + k
Given the quadaratic function f(x) = x^2 - 8x + 5, the expression in vertex form is given as:
f(x) = (x^2-8x + 4^2) - 16 + 5
f(x) = (x-4)^2 - 16 + 5
f(x) = (x-4)^2 - 11
Find the y-intercept.
This is the point here x = 0
f(0) = 0^2 - 8(0) + 5
f(0) = 5
Hence the y-intercept of the function is at (0, 5)
Since the quadratic function has a leading degree of 2, hence the function crosses the x-axis twice
Learn more on vertex and intercepts here: https://brainly.com/question/12778829
The results of a recent survey indicate that the average new car costs $23,000 with a standard deviation on $3,500. The prices of the car are normally distributed. a. If someone buys a car for $32,000, what proportion of cars cost an equal amount or more than this? b. If someone buys a car for $16,000, what proportion of cars cost an equal amount or more than this?
Answer:
(a) 0.0051
(b) 0.9773
Step-by-step explanation:
Let X = prices of the car.
It is provided that [tex]X\sim N(23,000, 3,500^{2})[/tex].
(a)
Compute the value of P (X ≥ 32000) as follows:
[tex]P(X\geq 32000)=P(\frac{X-\mu}{\sigma}>\frac{32000-23000}{3500})[/tex]
[tex]=P(Z>2.57)\\=1-P(Z<2.57)\\=1-0.99492\\=0.00508\\\approx 0.0051[/tex]
Thus, the proportion of cars cost an equal amount or more than $32,000 is 0.0051.
(b)
Compute the value of P (X ≥ 16000) as follows:
[tex]P(X\geq 16000)=P(\frac{X-\mu}{\sigma}>\frac{16000-23000}{3500})[/tex]
[tex]=P(Z>-2)\\=P(Z<2)\\=0.97725\\\approx 0.9773[/tex]
Thus, the proportion of cars cost an equal amount or more than $16,000 is 0.9773.
The new cookie recipe has 1 1/2 cups of flour for every 1/2 cup of chocolate chips.
Enter the slope.
Answer:
3
Step-by-step explanation:
1 1/2 cups for every 1/2 cup
im not exactly sure about the slope but i know the rate is 1:3
so i think they might be the same thing
Please help me!! Please explain and I’m pretty sure the answer needs to have < and > signs or >_ and <_ with “_” under < and >.
(For other ppl who search this)
4. Jim makes 8.50 an hour. Each week, 26% of his total pay is deducted for taxes. How many hours does Jim have to work if he wants his take-home pay to be AT LEAST $300 per week? Write and solve an inequality for this situation.
Answer:
Jim has to work 48 hours to earn at least $300 per week.
Step-by-step explanation:
Jim makes 8.50 per hour
so in x hours he makes 8.5x
26% is deducted for taxes
so his take home pay is 8.5x(1 - .26) = 8.5x(.74) = 6.29x
To make > = $300 Jim must work enough hours so that
6.29x >= 300
x >= 17.49
Mary is saving money for college expenses. She saves the same amount each month. She saves the same amount each month. The table shows the amount of money Mary has saved after 4 and 7 months. Which statements about the this situation are true and support the relationship as being proportional? Select all that apply.
Answer:
A, C, DStep-by-step explanation:
See attached for answer options
As per the table, the points are:
(4, 80) and (7, 140)This is linear function and the formula is:
y = mx + bm = (140-80)/(7-4) = 2080 = 20*4 + bb = 0So the function is
y = 20xThe correct answer options attached
Caitlin is designing a railing for a set of stairs. The railing will begin at a height of 36 inches and follow the slant of the stairs, which decreases 9 inches for every 12 horizontal inches. Which function can represent the height, y, of the railing in inches according to the horizontal distance in inches, x, from the top of the stairs? Y = –StartFraction 3 Over 4 EndFractionx + 36 y = –3x + 36 y = StartFraction 3 Over 4 EndFractionx + 36 y = 3x + 36
Given:
The railing will begin at a height of 36 inches.
Height decreases 9 inches for every 12 horizontal inches.
To find:
The function for this situation.
Solution:
Let y be the height of the railing in inches according to the horizontal distance in inches, x, from the top of the stairs.
Initial height = 36
So, y-intercept is 36.
Height decreases 9 inches for every 12 horizontal inches. So,
[tex]\text{Slope}=\dfrac{\text{Vertical change}}{\text{Horizontal change}}[/tex]
[tex]m=\dfrac{-9}{12}[/tex]
[tex]m=-\dfrac{3}{4}[/tex]
Slope intercept form of a line is
[tex]y=mx+b[/tex]
Substitute [tex]m=-\dfrac{3}{4}[/tex] and b=36.
[tex]y=-\dfrac{3}{4}x+36[/tex]
The required function is [tex]y=-\dfrac{3}{4}x+36[/tex].
Therefore, the correct option is A.
Answer:
A
Step-by-step explanation:
Caitlin is designing a railing for a set of stairs. The railing will begin at a height of 36 inches and follow the slant of the stairs, which decreases 9 inches for every 12 horizontal inches.
A drawing of the side view of a set of 4 stairs. There are lines drawn to show a railing that is at the highest point of the stairs and labeled 36 inches.
Which function can represent the height, y, of the railing in inches according to the horizontal distance in inches, x, from the top of the stairs?
y = –StartFraction 3 Over 4 EndFractionx + 36
y = –3x + 36
y = StartFraction 3 Over 4 EndFractionx + 36
y = 3x + 36
the set of types of matter
well difined or not
Answer:
It is not well defined.
Step-by-step explanation:
Because set is a collection of well defined objet. And matter contains of solid, liquid and gas
In the diagram, the measure of 1 is 55°. If line y is rotated 5° clockwise about the point of
intersection, what is the new measure of 3?
A. 60°
B. 130°
C. 120°
D. 50°
PLEASE LOOK AT THE PICTURE!!
Answer:
Option (1)
Step-by-step explanation:
Lines X and Y are intersecting at a point.
Two pairs of vertical angles have been formed at the point of intersection.
1). ∠1 and ∠3
2). ∠2 and ∠4
It's given that m(∠1) = m∠3 = 55° [Since pair of vertical angles are equal in measure]
If line Y is rotated 5° clockwise about the point of intersection of both the lines,
∠1 and ∠3 both will increase by 5°.
Therefore, measure of angles 1 and angle 3 will become (55° + 5° = 60°).
Option (1) will be the answer.
The new measure of angle 3 is 60 degrees
When a point or line is rotated, it must be rotated about a point of rotation
The angle measure is given as:
[tex]\angle 1 = 55^o[/tex]
By vertical angle theorem, we have:
[tex]\angle 3 = \angle 1[/tex]
So, the angle measure becomes
[tex]\angle 3 = 55^o[/tex]
The angle of rotation is given as: 5 degrees.
So, the new measure of angle 3 is:
[tex]\angle 3 = 55^o + 5^o[/tex]
[tex]\angle 3 = 60^o[/tex]
Hence, the new measure of angle 3 is 60 degrees
Read more about rotation at:
https://brainly.com/question/2283733
Are there more elderly men or women around the world? Why might that be the case?
Point F is on line segment EG. Given FG = 3x – 5, EF = x
, and
EG = 5x – 8, determine the numerical length of FG.
Answer:
3
Step-by-step explanation:
the whole line equals
5x-8 as well as x+3x-5
since it equals both we know the equation is
5x-8=x+3x-5 simplify to 4x-5
5x-8=4x-5
-5x. -5x
-8=-1x-5
+5. +5
-3= -1x
-/. -/
3=x
we now can double check our work by putting 3 everywhere the x is
EG =7
FG= 4
making EF 3
I need help graphing 2x - 6y = 42 I'm just really lazy
Answer:
We can use slope intercept form to get the points needed. Y= -7+1/3x The points are (0,-7) and (3,-6)
Step-by-step explanation:
Subtract 2x from the left side and place it over to the right side with the 42. Now we have -6y= 42-2x. From here we divide by -6 and we get y= -7+1/3x. We know that are slope is 1/3 which the one is the rise and the 3 is the run. We also know that our y intercept is -7. We plot the points at (0,-7) and (3,-6)
Ketut is organizing a barbecue for his parents. He knows that 13 of his mom’s friends prefer hot dogs and 9 of his dad’s friends prefer hamburgers. He organizes a two-way table to determine what he needs to buy. Which describes the variables he can use in the first row and first column of his table?
meal choice and number of mom’s friends
meal choice and number of guests
parent and number who prefer hot dogs
parent and meal choice
Answer:
it is actually d.
Step-by-step explanation:
if you were to create a two way table, it would make sense, but you would still need more information.
Parent and meal choice describes the variables he can use in the first row and first column of his table.
What is sample space?The sample space S of a random experiment is defined as the set of all possible outcomes of an experiment. In a random experiment, the outcomes, also known as sample points, are mutually exclusive.
Given, Ketut is organizing a barbecue for his parents. He knows that 13 of his mom’s friends prefer hot dogs and 9 of his dad’s friends prefer hamburgers.
Variable in a graph should be an object, event, idea, feeling, time period, or any other type of category you are trying to measure. There are two types variables-independent and dependent.
Ketut is organizing a barbecue for his parents. He knows that 13 of his mom s friends prefer hot dogs and 9 of his dad s friends prefer hamburgers. He organizes a two-way table to determine what he needs to buy.
Thus, Parent and meal choice describes the variables he can use in the first row and first column of his table.
Learn more about sample space here:
brainly.com/question/30206035
#SPJ6
The temperature is above 32 degrees farenheit.
Evaluate the expression (-y - 2x) - y given the values of x = -5 and y = 3
what is the answer?
Answer:
4
Step-by-step explanation:
Order of Operations: BPEMDAS
Step 1: Define
(-y - 2x) - y
x = -5
y = 3
Step 2: Substitute and Evaluate
(-3 - 2(-5)) - 3
(-3 + 10) - 3
7 - 3
4
Answer:
4
Step-by-step explanation:
replace both values in the parentheses
-3 - 2(-5)
two negatives make a positive, so you would have -3 + 10
which is 7
now you have 7 - 3
7-3=4
Daisy purchases a gym membership. She pays a signup fee and a monthly fee of $14. After 4 months, she has paid a total of $69. Use a linear equation in point-slope form to find the signup fee. Solve the problem using an equation in point-slope form.
What is the sign up fee
Answer:
The signup fee is $13
Step-by-step explanation:
we know that
The equation in point slope form is equal to
where
m is the slope or unit rate of the linear equation
(x1,y1) is a ordered pair of the line
Let
x -----> the number of months
y -----> the total cost of a gym membership
In this problem we have
The slope of unit rate is equal to
The ordered pair is
substitute
----> equation in point slope form
Convert to slope intercept form
---> equation in slope intercept form
The y-intercept is the signup fee (value of y when the value of x is equal to zero)
therefore
The signup fee is $13
Step-by-step explanation:mark me brainliest pls
HELP PLEASE 50 points!!! Statistics
Answer:
The answers are A, C, and D
A 7-day cruise is 15% off the regular price of $1,800. How much is the discount?
Answer:
The discount is $270
The new price would be $1,530
Step-by-step explanation:
You just multiply 1800 times 0.15 to get how much the discount would be and then if you are trying to find the new price you would subtract the discount or multiply 1800 times 0.85 because 100-15 is 85.
Cynthia is making peanut butter cookies. Her recipe calls for 2 cup of peanut butter to make 1 dozen cookies. Which fraction best represents the ratio of cups of peanut butter to number of cookies? A 1/36 B. 1/12 C 1/6 D 1/4
Answer:
D I think
Step-by-step explanation:
one dozen is 12 so you reduce it so you make it smaller
LAST QUESTION TO MY TEST I DONT WANNA FLUNK HELP ME
Find the slope given these points:
(-1,7) & (2,2)
-5/3
5
5/3
Answer:
the answer to the question is -5/3
When three times a number is subtracted from eight times the same number, we get the result 35. What is the number?
Answer:
7
Step-by-step explanation:
8x - 3x = 35
5x = 35
x = 7
Answer:
7
explanation:8x - x+x+x =35
8x-3x=35
5x=35
x=7
Deondre bought a new PlayStation for 480.50 there is a 6.5% sales tax what is the total amount that deondre paid
Answer: $511.73
-----------------------
What is the value of
-8(17-12)
—————
-2(8-(-2) )
• -4
• -2
• 2
• 4
Answer:
2
Step-by-step explanation:
-8(17-12)
------------
-2(8-(-2)
= -8(5)
--------
-2(10)
= -40
----------
-20
Ans 25. Two blueberry farms are similar in shape. The ratio of the side lengths of
the farms is 5:6, and the smaller farm has a perimeter of 360 yards. The
cost to dig a trench is $0.75 per yard. What is the cost to dig a trench
around the larger blueberry farm?
Answer:It would cost $270 to dig
Step-by-step explanation:<!>Brainliest Apprecatied<!> :D
Answer: $324
Step-by-step explanation:
For this question, many people think the answer is 270, but that's wrong.
Since the ratio is 5:6 and the smaller farm perimeter we can put that into an ratio equation.
x will be the perimeter of the bigger farm
5/6=360/x
5x=2160
5x/5=2160/5
x=432 yards
That's the perimeter, now to find the cost it would be 432*0.75 which is $324.
Calculate the mean ,median, or mode of a distribution. There are 10 bags containing tickets numbered 1 to 20. Ten students draw a ticket from each bag. One student drew tickets with the numbers. 5,8,18,1,14,6,8,13,8,19 what would be the correct mean, median, and mode
Answer:
Step-by-step explanation:
Mean = sum of variables/sample size
Sum of variables = 5+8+18+1+14+6+8+13+8+19
Sum of variables = 100
Sample size = 10
Mean = 100/10
Mean = 10
Median is the value at the centre after rearrangement.
On rearrangement
1,5,6,8),8,8,(13,14,18,19
Median = 8+8/2
Median = 16/2
Median = 8
Mode is the value with the highest frequency. The value that occur the most. From the datas, the mode is 8 since it occurred 3 times.
6. (01.01 MC)
Why is 1 + (-5) equal to -4? (1 point)
Because it is 5 units to the right of 1 on a horizontal number line
O
Because it is 5 units to the left of 0 on a horizontal number line
Because it is 5 units to the right of 0 on a horizontal number line
Because it is 5 units to the left of 1 on a horizontal number line
Step-by-step explanation:
Because it is 5 units to the left of 1 on a horizontal number line
Find the value of x in each of the following
a) 5x/2+ 1 = 11
b) 2x/7 – 3 = 2
Answer:
A) x=4
B) x=35/2
Step-by-step explanation:
calculate the product
A) 5x/2+1=11
multiply both sides of the equation by 2
5x+2=22
move the constant to the right hand side and change its sign
5x+22-2
now subtract the numbers
5x=20
now didvide both sides
5x=20
x=4
B)
calculate the product
2x/7-3=2
multiply both sides of the equation by 7
2x-21=14
move the constant to the right hand side and change its sign
2x=14+21
add the numbers
2x=35
now divide both sides of the equation by 2
x=35/2
Moses spent 1/4 of his salary pm fees.He spent a 1/4 of the remainder on electricity and water bills for his rental house.He also spent 1/9 of his remainder on transport.If he finally has 8400/=. Calculate A)His total January salary B) Money spent on fees
C)Money spent on transportation
Rewards™ ??? points
and Brainiest ^^
Answer:
(A)
Step-by-step explanation:
because i search it to google then i see the answer so please i want you to give me the brainlieast answer
Answer:
A = 87392.1
B = 21143.25
C = 579.27
Hope this helps you. Sorry for the handwriting.
Division by zero is allowed only when combined with the distributive property. True or False?
Answer:
Falseeeeee
Step-by-step explanation:
what factor makes the number sentence
7x4= 4x7
Answer:
Its a very complex solution but it x
=
0
,
3
√
14
2
Step-by-step explanation:
Function Rule: y = 6x + 5 What is the output if the input is -2
Answer:
y=mx+b
Step-by-step explanation:
SHOW WORK
Pete borrowed $400 for 1 year. He paid back a total of $440. What was the interest rate per year?
Answer:
10%
Step-by-step explanation:
He had to payback 40 more than he borrowed.
440-400=40
40 is 10% of 400, what he borrowed.
400÷10=40
Answer:
10%
Step-by-step explanation:
That year, he paid $40 in interest, which is 10% of the original loan.
