On a coordinate plane, a parabola opens down. It has an x-intercept at (negative 5, 0), a vertex at (negative 1, 16), a y-intercept at (0, 15), and an x-intercept at (3, 0).
The function f(x) = –x2 − 2x + 15 is shown on the graph. What are the domain and range of the function?
The domain is all real numbers. The range is {y|y < 16}.
The domain is all real numbers. The range is {y|y ≤ 16}.
The domain is {x|–5 < x < 3}. The range is {y|y < 16}.
The domain is {x|–5 ≤ x ≤ 3}. The range is {y|y ≤ 16}
Answer:
Step-by-step explanation:
Domain is all the x's and range is all the y's. There's no reason why you couldn't pop any x into the given equation and calculate it and get a number out. So literally ANY x can be used and found on this graph. So the domain is all real numbers, one of the first two answers is going to be the right one. Now, the range is all the y's on the graph. The problem says that the parabola opens down, which means it has a highest point. There is no graph above that point. That's the point (-1, 16). So 16 is the highest y-value you can find on the graph. All the rest of the y's are smaller. The range is all the y's such that the y's are 16 and smaller...in math that's written {y | y <= 16} So the second answer is the right one.
The domain is all real numbers. The range is {y | y ≤ 16}
How to determine the domain and the range?The attached graph completes the question
Calculating the domain
The function is given as:
f(x) = -x² - 2x - 15
The above function is a parabola or a quadratic function.
Quadratic functions have their domain to be the set of all real numbers.
Hence, the domain is all real numbers.
Calculating the range
On the graph, we have the maximum value of y to be:
Maximum = 16
Because the parabola opens down, the range would be:
y ≤ 16
Hence, the range is {y | y ≤ 16}
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Frank and Chris both took the ABC achievement test, which is N(950,50). If frank had a z-score of 2.5 and Chris had a
score of 675, how much higher was Frank's score?
1075
1700
400
525
none of the above
======================================================
Explanation:
The notation N(950,50) tells us that we have a normal distribution with the following parameters:
mu = 950 = meansigma = 50 = standard deviationUse the z score z = 2.5 to convert to its raw score x
z = (x-mu)/sigma
2.5 = (x-950)/50
2.5*50 = x-950
125 = x-950
x-950 = 125
x = 125+950
x = 1075
Frank's z score of z = 2.5 corresponds to the actual score of x = 1075. This is 1075-675 = 400 points higher than the score Chris got.
how
5. Shane has no more than $200 to spend on a
basketball game for next weekend. He spends
$44 on fees. If the tickets are sold at $78 each,
which inequality models t, the number of tickets
Shane is able to buy?
Answer:
[tex]t\leq2[/tex]
Step-by-step explanation:
200 - 44 = 156 dollars which Shane can use to buy tickets
156 >= 78t
t<=2
Therefore the maximum number of tickets he can buy is 2
The height and age of
a child.
Student Recording Sheet
Is it positive correlation, No correlation , or negative correlation ?
Answer: positive correlation
Step-by-step explanation:
sorry if im wrong
Sherrod and Kamar are planning to drive at most 900 miles road trip. Sherrod drives at 60 miles per hour, and Kamar at 50 miles per hour. Let x represent the distance Sherrod drives and y represent the distance Kamar drives.
a. Write an inequality that represents the miles that Sherrod and Kamar drive.
b. GIve 2 possible combinations of miles that Sherrod and Kamar can drive that satisfy the inequality.
The inequality gives the total expected journey from the road trip, such that the time during which Sherrod and Kamar drives is known.
a. The inequality that represents the miles that Sherrod and Kamar drives is; x + y ≤ 900b. Two possible combination of x and y are; (600, 300) and (300, 600)Reasons:
a. The distance distance Sherrod and Kamar plan to drive ≤ 900 miles
Sherrod's speed = 60 mph
Kamar's speed = 50 mph
The distance Sherrod drives = x
The distance Kamar drives = y
a. The miles driven by Sherrod and Kamar is given by the inequality;
x + y ≤ 900b. Two possible combinations are;
First possible combination;
Sherrod drives for 10 hours, which gives;
Distance Sherrod drives = 60 mph × 10 hour = 600 miles
Kamar drives for 900 miles - 600 miles = 300 miles
Which gives;
Sherrod drives for 600 miles and Kamar drives for 300 miles
First combination; (600, 300)Second possible combination;
The second possible combination is Sherrod drives for 300 miles and Kamar drives for 600 miles
Second combination; (300, 600)Learn more about inequalities here:
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What is an equation for the linear function whose graph contains the points (2, 5) and (3, 0)?
Enter your answers in the boxes.
y−
=
(x−2)
Answer:
y = -5x + 15
Step-by-step explanation:
We'll look for a linear function of the form y = mx + b, where m is the slope and b is the y-intercept.
We can determine a slope from the two given points by calculating a Rise/Run. Starting at (2,5) and going to (3,0):
Rise = (0 - 5) = -5
Run = (3-2) = 1
Rise/Run = Slope, m) = -(5/1) or -5
Now we have y = -5x + b
To find b, enter either of the two points and solve for b. I'll use (3,0), because I know my zero multiplication and addition tables by heart.
y = -5x + b
0 = -5(3) + b
b = 15
The equation becomes y = -5x + 15
See attachment.
Select from the drop-down menus to correctly complete the proof. To prove that 4π is irrational, assume the product is rational and set it equal to ab, where b is not equal to 0: 4π=ab. Isolating π gives π=a4b. The right side of the equation is Choose.(rational or Irrational).. . Because the left side of the equation is Choose.(rational or irrational).. , this is a contradiction. Therefore, the assumption is wrong, and the number 4π is Choose(rational or Irrational)... .
The product of a rational number and an irrational number is an irrational
number.
The correctly completed proof is presented as follows;
To prove that 4·π is irrational, with the assumption that, 4·π = [tex]\displaystyle \frac{a}{b}[/tex], where b ≠ 0. Which by isolation of π gives π = [tex]\displaystyle \mathbf{ \frac{a}{4 \cdot b}}[/tex].
The right side of the equation is irrational, because the left side of the
equation is irrational, this is a contradiction.
Therefore, the assumption is wrong and the number 4·π is irrational.
Reasons:
The proof is presented as follows;
With the assumption that 4·π is rational, we have;
[tex]\displaystyle 4 \cdot \pi = \mathbf{\frac{a}{b}}[/tex]
Where;
b ≠ 0
Making π the subject of the above formula, by isolating, it, we have;
[tex]\displaystyle \pi = \mathbf{\frac{a}{4 \cdot b}}[/tex]
The right side of the equation is rational, however, the left side of the
equation π is irrational, which results in a contradiction, therefore, the
product 4·π is an irrational number.
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Answer:
irrationalirrationalirrational
Choose all the number lines that show equivalent fractions.
A.
+
1
0
j
1
B.
o
+
1
이고
0
1
+
+
+
1
D.
0
1
-
AU E.
0
+
1
Plz help me this is my exam no links
Answer:
a and d
Step-by-step explanation:
√x - 5+ x = 7
please help me out :)
Answer quicklyy please
Answer:
B
Step-by-step explanation:
Because to have the problem fully divided she would have to subtract 40 once more time to get 1 as a remainder.
Hopes This Helps :)
0.36 as a standard form
Answer:
0.36 x 10⁰Step-by-step explanation:
will mark brainliest help
Answer:
1 = 8 and 50
2= 50 and a
Step-by-step explanation:
Which equation represents the function shown on the graph?
y = x
y = x
y = 2x
y = 4x
Answer:
x = 0, y = 0
Step-by-step explanation:
4 x 1/3 x 3/4 x 1/3 as a fraction or whole number
Answer:
Step-by-step explanation:
To multiply fractions just multiply top × top × top × top ( and write it on top) Then multiply bottom × bottom × bottom × bottom. Whenever you can reduce or simplify the result, make sure you do that too. Since the whole entire problem is all times-ing (and dividing bc fraction bar is just dividing) you could "cancel" numbers that are in the top and bottom that are the same. See image.
anybody help please hm
This is a true or false question. (Question in the photo)
Answer:
Step-by-step explanation: The answer is False.
Answer:
True my mom helped
Step-by-step explanation:
that's all I know
help ASAP please hmmmm
Answer:
It has to be D.
Wendy went to Starbucks and spent $15.75 on coffee. She had to pay 8% in sales tax. She then wanted to tip the baristas 20%. What was her total bill with tax and tip?
20.52 is the answer Sol ed
A regular hexagon is rotated 360° about its center. How many times does the image of the hexagon coincide with the pre image during the rotation?
A. 1 time
B. 3 times
C. 12 times
D. 6 times
The image of the regular hexagon coincides with the pre-image 6 times during rotation.
A regular hexagon is a polygon that has six equal sides and six equal angles.
In a single rotation which is usually the rotation of an object at 360°, the number of times in which the regular hexagon coincides with its pre-image is 6 times, this is because it has 6 equal sides and 6 equal angles.
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Answer:
6
Step-by-step explanation:
I just took the test
10/11 x 3/7 x 1/2 Multiply. Write your answer as a fraction in the simplest form.
Fractions are written as a ratio of two integers. The product of the fractions in its simplest form is 15/77
Simplification of fractionsFractions are written as a ratio of two integers
Give the expression
10/11 x 3/7 x 1/2
This can also be written as:
10/2 * 1/11 * 3/7
= 5/11 * 3/7
= 15/77
Hence the product of the fractions in its simplest form is 15/77
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Which sign makes this number sentence true?
|-1011 _-85
A)>
B) <
C) =
D) X
Translate this sentence into a equation. 70 is the product of Delilah‘s age and 5. use the variables d to represents Delilah’s age
Answer:
Step-by-step explanation:
i dont know.
Look at this graph.
What is the equation of the line in slope-intercept form?
EXPLAIN HOW YOU GOT IT
Answer:
y = x - 70
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (0, - 70) and (x₂, y₂ ) = (70, 0) ← 2 points on the line
m = [tex]\frac{0-(-70)}{70-0}[/tex] = [tex]\frac{0+70}{70}[/tex] = [tex]\frac{70}{70}[/tex] = 1
The line crosses the y- axis at (0, - 70 ) ⇒ c = - 70
y = x - 70 ← equation of line
Hello could someone help me will name brainliest. No links please
There are 70 seats on a train. 30% of the seats are empty. How many empty seats are there
on the train?
Answer:
21
Step-by-step explanation:
70/10=7
So 7 people are 10% of the train.
10*3=30
7*3=21
21 empty seats
Answer
21
Step-by-step explanation:
50 POINTS!!!! Hellppp me with this!!!! Click to view whole pics!!! If you can view it it basically says : You are making several purchases from the B-Better Electronics store. You can buy from this store online or in a physical store. You have a coupon for 20% off that can only be used in the physical store and a $20.00 off coupon that can only be used online. The sales tax of 7.5% only applies to the physical store.
Shipping for the online store is a flat rate of $8.99 or free for purchases over $75.00. Using the information below, which way of purchasing would save you the most money?
B-better electrics store:
Headphones. 1 pair. 14.99/e
DVDs 4dvds 13.95/e
CDs. 2cds. 9.85/e
————————————————-
Online store:
Headphones 1 pair. 13.50/e
DVDs. 4dvds 14.99/e
CDs. 2cds. 10.99/e
————————————————-
Anyone know these answers for algebra? (There's 16)
1. 7/n-6=9/5
2. r-2/5=6/7
3. A+6/5=7/2
4. 10/2=x-9/4
5. 8/7=9/n-7
6. p-7/p=10/8
7. N+9/3=n/4
8. N+8/6=n/4
9. 7% of what is 20.4
10. 71 is 38% of what
11. What percent of 158 is 6
12. 390% of what is 150
13. 47% of what is 91.6
14. 10% of what is 159
15. 34% of what is 126
16. 91% of what is 48
Need NOW help FAST PLS . hs geometry
Hope you could get an idea from here.
Doubt clarification - use comment section.
what is this answer?
Answer:
The answer is 16.
Sorry if it's incorrect.
Step-by-step explanation:
name the relationship of these angles