The difference between the maximum value of g(x) and the minimum value of f(x) is 5.
Given function is:
[tex]f(x)=x^{2} -2x+8[/tex]......(1)
What is the general form of a quadratic equation?The general form of a quadratic equation is [tex]ax^{2} +bx+c=0[/tex] with [tex]a\neq 0[/tex].
As we know the minimum value of a quadratic function is [tex]\frac{4ac-b^{2} }{4a}[/tex] when a>0
For f(x) a>0 so minimum value of f(x) = [tex]\frac{4*1*8-(-2)^2}{4*1}[/tex]=7
From the graph, the maximum value of g(x) =12
So, the difference between the maximum value of g(x) and the minimum value of f(x) =12-7 =5
Hence, the difference between the maximum value of g(x) and the minimum value of f(x) is 5.
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Pythagorean Theorem. Show your work.
Step-by-step explanation:
First you do 2 squared plus 5 squared since it is A and B
2² + 5² = 29
Then you square root 29
which is 5.385164807 or 5.4 when you round
Which quadratic equation is equivalent itto * (x - 4) ^ 2 - (x - 4) - 6 = 0 ?
Answer:
[tex]x2 - 9x + 14 = 0[/tex]
Step-by-step explanation:
x2 - 9x + 14 = 0
Which is the best estimate of the capacity of a bathtub? A. 5 milliliters B. 50 milliliters c. 5 liters D. 50 liters
Answer:
D 50 liters
Step-by-step explanation:
mL is really small amount so it not A or B. 5 L is like 5 bottles which wont fill it up much so lets take out C. the answer left out is D 50 L which is the answer
Select three ratios that are equivalent to 7:6,
Answer: 12:14 21:18 42:36
What is the slope of the given line? (Use only whole numbers or fractions to answer)
What is the y-intercept of the given line? (Put your answer as the y-intercept point with no spaces)
Answer:
answer is -1/2
have a nice day
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Answer:
The answer would be team D as their range is 24.
Step-by-step explanation:
Team A: range of 27
Team B: Range of 32
Team C: Range of 27
Team D: Range of 24
Team D has the lowest range found by subtracting the larger number 46 by the smaller number 22.
$52 lunch; 2.5% tax what is the answer
Answer:
$53.30
Step-by-step explanation:
2.5% of 52 is 1.3
1.3 + 52 = 53.30
hope this helped :)
Answer:
$53.30
Step-by-step explanation:
Cost of lunch : $52
Tax : 2.5%
Divide the tax (2.5%) by 100
2.5 ÷ 100 = 0.025
Multiply 0.025 by the cost of the lunch ($52) to get the sales tax.
52 × 0.025 = 1.3
Now, add 1.5 (sales tax) with 52 (cost of lunch).
52 + 1.3 = 53.30
So, the total cost of the lunch + tax is $53.30.
Hope this helped !
dialations he said she said answer key
Answer: What?
Step-by-step explanation:
Check whether the relation R defined in the set {1, 2, 3, 4, 5, 6} as
R = {(a, b): b = a + 1} is reflexive, symmetric or transitive.
Answer:
The answer is R is neither reflexive, nor symmetric, nor
transitive.
Step-by-step explanation:
Let A = {1, 2, 3, 4, 5, 6}.
A relation R is defined on set A as:
R = {(a, b): b = a + 1}
R = {(1, 2), (2, 3), (3, 4), (4, 5), (5, 6)}
We can find (a, a) ∉ R, where a ∈ A.
For instance,
(1, 1), (2, 2), (3, 3), (4, 4), (5, 5), (6, 6) ∉ R
R is not reflexive.
It can be observed that (1, 2) ∈ R, but (2, 1) ∉ R.
R is not symmetric.
Now, (1, 2), (2, 3) ∈ R
But, (1, 3) ∉ R
R is not transitive
Thus, R is neither reflexive, nor symmetric, nor transitive.
Toya is using a cake recipe that calls for two cups of sugar and 3 cups of flour. she wants to make a larger amount of cake batter. if she uses six cups of flour, how many cups of sugar should she use?
Answer:
4 cups of sugar
Step-by-step explanation:
2 x 2 = 4
Toya will use 4 cups of sugar.
Please help l just don’t understand new topic
Consider the table of the powers of 8.
A 1-column table with 6 rows. Column 1 is labeled Power of 8 with entries 8 cubed = 512, 8 squared = 64, 8 Superscript 1 = 8, 8 Superscript 0 = a, 8 Superscript negative 1 = b, 8 Superscript negative 2 = c.
Answer these questions about the powers of 8.
What is the pattern as the exponents decrease?
What is the value of each variable in the table?
a =
b =
c =
What is the pattern as the exponents decrease?
Divided by 8
What is the value of each variable in the table?
A= 1
B=1/8
C=1/64
Hope this helped!
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Answer:
Step-by-step explanation:
Answer these questions about the powers of 8.
What is the pattern as the exponents decrease?
✔ divided by 8
What is the value of each variable in the table?
a =
✔ 1
b =
✔ 1/8
c =
✔ 1/64
Instructions: Find the measure of the indicated angle to the nearest degree.
Answer:
first question = 57 degrees
second question = 27 degrees
Step-by-step explanation:
use trigonometry and SOH CAH TOA
then rearrange to find the value of x
using the power of -1
The length of a rectangle is 7 cm greater than its width. The area of the rectangle is 260 cm². This situation can be expressed by the equation w^2+7w−260=0.
What is the width of the rectangle? Remember that a measurement can only be positive.
Enter your answer in the box.
Answer:
I think the answer is 15 but I am not sure hoping this helps good luck
Answer:
its 13
Step-by-step explanation:
PLEASE HELP WILL GIVE BRAINLIEST!!!!
Share OMR 120 in the ratio 1.5 : 0.5
Answer:
90:30 is the answer
only if we use over 2
If the original price of an item on a sale was $21 and this price was reduced by 20% for the sale what is the price in the sale?
Answer:
$16.8
Step-by-step explanation:
Discount amount
21 x .2 = 4.2
Discount
21 - 4.2 = 16.8
Answer:
16.8
Step-by-step explanation:
Solve algebraically for x: -2/3(x+12)+2/3x=-5/4x+2 pls explain
Answer:
x = 8
Step-by-step explanation:
Given equation:
[tex]\dfrac{-2}{3} (x+12)+\dfrac{2x}{3} =\dfrac{-5x}{4} +2[/tex]
Start out by simplifying the distributive property on the left hand side.
[tex]\implies \dfrac{-2x}{3} + \dfrac{(-24)}{3} +\dfrac{2x}{3} =\dfrac{-5x}{4} +2[/tex]
Combine like terms on the left hand side.
[tex]\implies x\huge\text{(}\dfrac{-2}{3} + \dfrac{2}{3}\huge\text{)}+ \dfrac{(-24)}{3} =\dfrac{-5x}{4} +2[/tex]
Simplify the left hand side.
[tex]\implies x\huge\text{(}0\huge\text{)}+ \dfrac{(-24)}{3} =\dfrac{-5x}{4} +2[/tex]
[tex]\implies x\huge\text{(}0\huge\text{)} - 8 =\dfrac{-5x}{4} +2[/tex]
[tex]\implies0- 8 =\dfrac{-5x}{4} +2[/tex]
[tex]\implies-8 =\dfrac{-5x}{4} +2[/tex]
Subtract 2 both sides.
[tex]\implies-8 -2 =\dfrac{-5x}{4} +2 - 2[/tex]
[tex]\implies-10 =\dfrac{-5x}{4}[/tex]
Use cross multiplication.
[tex]\implies-10 \times 4 =-5x[/tex]
[tex]\implies-40 =-5x[/tex]
Divide -5 both sides.
[tex]\implies \dfrac{-40}{-5} =\dfrac{-5x}{-5}[/tex]
[tex]\implies 8=x[/tex]
Thus, the value of x is 8.
Answer:
x = 8
Step-by-step explanation:
Given equation:
[tex]-\dfrac23(x+12)+\dfrac23x=-\dfrac54x+2[/tex]
Multiply both sides by 3:
[tex]\implies -2(x+12)+2x=-\dfrac{15}{4}x+6[/tex]
Multiply both sides by 4:
[tex]\implies -8(x+12)+8x=-15x+24[/tex]
Expand brackets:
[tex]\implies -8x-96+8x=-15x+24[/tex]
Combine like terms:
[tex]\implies -96=-15x+24[/tex]
Add 15x to both sides:
[tex]\implies 15x-96=24[/tex]
Add 96 to both sides:
[tex]\implies 15x=120[/tex]
Divide both sides by 15:
[tex]\implies x=8[/tex]
There are 5 cups of oatmeal in a container.Stella has1/3 cup of the oatmeal every day for breakfast. In how many days will Stella finish all the oatmeal in the container
If the value of a is 8 in f(x)=ax^2 what does the graph look like?
A) a parabola that opens down
B) a parabola that opens up
C) a parabola that opens left
D) a parabola that opens right
Answer:
B
Step-by-step explanation:
Graphs with x^2 look like a U shape as the negative x values will still result in a positive y value since a negative squared is a positive.
Given that y is inversely proportional to ( x + 7) and that y = 5 when x = 2,express y in terms of x..... Please help
Answer:
like if it's rere it's ree duh awsee a
there are only r red counters and g green counters in a bag. a counter is taken at random from the bag. the probability that the counter is green is 4/9. the counter is put back in the bag. 4 more red counters and 2 more green counters are put in the bag. the probability that the counter is green is 10/23. find the number of red counters and the number of green counters that were in the bag originally.
Answer:
35 : 28
Step-by-step explanation:
Check the attachment.
E
H
36
X + 10
57°
370
(5y + 7)º
G
60
F
J
36
1
Triangle FEG is similar to triangle IHJ. Find m_H.
mZH =
What is the answer?
Answer: 86 degrees
Step-by-step explanation:
Carter says that 0.08 is equivalent to 8/10. Describe and correct Carter's error
Answer:
Step-by-step explanation:
If we divide 8 by 10, we get 8/10, which reduces to 4/5 or 0.8. Carter misplaced his decimal point.
What is the distance between the points (7,4) and (4,4)
[tex]\text{Given that,}\\\\(x_1,y_1) = (7,4)~ \text{and}~ (x_2,y_2)=(4,4)\\\\\text{Distance,}~ d=\sqrt{(x_1-x_2)^2+(y_1-y_2)^2}\\\\~~~~~~~~~~~~~~~~=\sqrt{(7-4)^2+(4-4)^2}\\\\~~~~~~~~~~~~~~~~=\sqrt{3^2}\\\\~~~~~~~~~~~~~~~~=3[/tex]
What does AC=?
Round your answer to the nearest hundredth.
Please help
Answer: About 3.06
Step-by-step explanation:
We can use trigonometry functions to solve for AC. Let the ?, representing AC, be "x" in our mathematical work.
Since we have the hypotenuse and x is adjacent to the angle given, I am going to use cosine.
cos(θ) = [tex]\frac{adjacent}{hypotenuse }[/tex]
cos(40) = [tex]\frac{x}{4}[/tex]
0.766 ≈ [tex]\frac{x}{4}[/tex]
3.06 ≈ x
x ≈ 3.06
PLEASE HELP QUICKKKK I GIVE BRAINLYIST PLEASEE
Answer:
7
Step-by-step explanation:
As you can see, each time (let's say n) increases by 1, it divides by 1/2. So from a1 to a2, you get 28/2 or 14, then from a2 to a3, 14/2 or 7.
7 being your answer.
Answer:
7Step-by-step explanation:
Given the recursive formula.
[tex]a_1=28\\a_n=1/2a_{n-1}[/tex]Use it to determine the value of te third term.
[tex]a_3=1/2a_2=1/2(1/2a_1) = 1/4a_1=1/4(28) = 7[/tex]The figure shows the dimensions of a room. How much carpet is needed to cover its floor? 15 ft 10 ft
Answer:
150 ft² of carpet is needed
Step-by-step explanation:
Dimensions of the floor :
15 ft (length)10 ft (width)∴ Area of carpet required = Area of floor
Area of floor
length x width15 ft x 10 ft150 ft² of carpet is neededArea:-
Length×widthLB15(10)150ft^2Help I need answer now
X=?
Answer:
0.6
Step-by-step explanation:
I used 30 60 90 triangle.
Help!!!!
20. A class of 27 students is standing in front of a Do-It-Yourself Photo Booth. "Let's get
a picture of every possible pair of us," suggested Bart. "Well, gee," answered Mandy,
"that'd be a lot of pictures." How many pictures exactly?
Answer:
13 or 14 pictures
Step-by-step explanation:
there are 27 students who has decided to be grouped in pair. pair means 2, so mathematically
27 = 2 *x 27 can't make a pair
where x is the one student is removed
number of 26 is left
pictures x = 26 \ 2
x = 27 \ 2 OR x = 13 pictures
x = 13.5
x = 14 pictures
hope it help
There are 13 or 14 pictures can be taken.
What is Algebra?A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.
Variables are the name given to these symbols because they lack set values.
In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.
We have,
Total students at booth= 27 students
Number of person in a group = 2
Then, the possible number of pictures can be
x = 26/2
x= 13
Since one person is left and have a single photo which shows total 14 pictures.
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