For the given function g(x)=xpower of 2-6x-16, the statement which is true, is the zeros are -2 and 8 because the factor of g are (x+2) and (x-8).
What is a quadratic function?A quadratic function is the function in which the unknown variable is one and the highest power of the unknown variable is two.
The standard form of the quadratic function is,
[tex]f(x)=ax^2+bx+c[/tex]
Here,(a,b, c) is the real numbers and (x) is the variable.
The quadratic function given in the problem is,
[tex]g(x)=x^2-6x+16[/tex]
Factorized it with split the middle term method,
[tex]g(x)=x^2-6x-16\\g(x)=x^2-8x+2x-16\\g(x)=x(x-8)+2(x-8)\\g(x)=(x-8)(x+2)[/tex]
Equate the factors of the function, to find the zeros,
[tex]x-8=0;x=8\\x+2=0;x=-2[/tex]
Hence, for the given function g(x)=xpower of 2-6x-16, the statement which is true, is the zeros are -2 and 8 because the factor of g are (x+2) and (x-8).
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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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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^2HELPPPPPPPPPPPPPPPPPPPPPP
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.
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.
$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 !
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.
What is the surface area of the figure below
Answer: Its 120 cm
Step-by-step-explenation:
All you have to do is multiply
3x2=6
6x5=30
30x4=120
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
Help I need answer now
X=?
Answer:
0.6
Step-by-step explanation:
I used 30 60 90 triangle.
PLEASE HELP BRAINLIEST AND 10 POINTS
A sculptor is planning to order a cylinder of composite stone to sculpt a full-sized person. The figure will be 6 feet tall, and 2’ at the longest diameter. The composite stone weighs 50 pounds per cubic foot. About how much will the smallest cylinder weigh that the sculptor can order to make his statue?
47 lbs
hope this helps
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:
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
On a TV game show, a contestant makes $700 for every correct answer but loses $400 for every wrong answer. After answering 22 questions, Sarah broke even. How many questions did she answer correctly?
Answer:
She answered 8 of them correctly.
Step-by-step explanation:
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
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:
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
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.
Select three ratios that are equivalent to 7:6,
Answer: 12:14 21:18 42:36
Share OMR 120 in the ratio 1.5 : 0.5
Answer:
90:30 is the answer
only if we use over 2
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
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
Please help l just don’t understand new topic
dialations he said she said answer key
Answer: What?
Step-by-step explanation:
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]
WHOEVER ANSWERS THE QUESTION FIRST WILL GET 15 POINTS!!!!!
Answer:
b
Step-by-step explanation:
the answer is b
in the problem you can put the expression into a calculator and you will get the answer 3
in option b, y+2=3 bc a variable is always equal to one so your basically adding 1+2 which is equal to 3
I HOPE I HELPED A BIT<3
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.
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!
Pls consider me for Brainliest!!
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
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
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: