Answer:
............................
Step-by-step explanation:
1. Let f(x) be defined by the linear function graphed below and
g(x) = x2 - 9x + 14.
I
A. Describe the right end behavior of g(x).
Answer:
Step-by-step explanation:
A). g(x) = x² - 9x + 14
Since coefficient of highest degree term (x²) is positive, parabola will open upwards.
For any parabola opening upwards,
Right end behavior,
y → ∞ as x → ∞
B). Let the equation of the linear function is,
f(x) = mx + b
Where m = slope of the function
b = y-intercept
From the graph attached,
Slope 'm' = [tex]\frac{\text{Rise}}{\text{Run}}=\frac{-(2+1)}{(0+1)}[/tex]
m = -3
b = -1
Therefore, function 'f' will be,
f(x) = (-3)x - 1
f(x) = -3x - 1
g(x) = x² - 9x + 14
= x² - 7x - 2x + 14
= x(x - 7) - 2(x - 7)
= (x - 2)(x - 7)
If h(x) = f(x)g(x)
h(x) = -(3x + 1)(x -2)(x - 7)
For h(x) ≥ 0
-(3x + 1)(x - 2)(x - 7) ≥ 0
[tex]x\leq -\frac{1}{3}[/tex] Or 2 ≤ x ≤ 7
Therefore, for 2 ≤ x ≤ 7, h(x) ≥ 0
C). If k(x) = [tex]\frac{h(x)}{(x-2)}[/tex]
k(x) = [tex]\frac{-(3x+1)(x-2)(x-7)}{(x-2)}[/tex]
k(x) = -(3x + 1)(x - 7)
For k(x) = -56
-(3x + 1)(x - 7) = -56
3x² -20x - 7 = 56
3x² - 20x - 63 = 0
3x² - 27x + 7x - 63 = 0
3x(x - 9) + 7(x - 9) = 0
(3x + 7)(x - 9) = 0
[tex]x=-\frac{7}{3},9[/tex]
PLZZ ANSWER THE QUESTION
Answer:
c
Step-by-step explanation:
y = mx + b
”m” is the slope, so the slope is -2
”b” is the y - intercept, so the y - intercept is (0 , 1)
what is the slope of the line shown below?
Answer:
A
Step-by-step explanation:
the answer is A because you can tell the line has a negative slope since its going from left to right rather than right to left and then you do rise/run so the rise=2 and the run=3 so the answer for slope would be -2/3
Answer:
-2/3
Step-by-step explanation:
First you need to find two exact points the use your formula. I used (0,1) and (-3,3).
y2-y1 / x2-x1
Or just use rise over run and count up 2 and across to the left 3 and also realize it's a negative slope going down from the left so your answer will be negative.
I hope I helped you. You can comment if you need anymore help.
A scale drawing of a building needs to be made using the scale 1 in = 230 ft. How tall will the building in the scale drawing be if the building is 1380 ft tall?
where does 17 lie between
Which shows associative property?
3(ab) = (3a)b
(3 + a) + b = 3 + (a + b)
Answer: the answer is the second one
Step-by-step explanation:
9514 1404 393
Answer:
3(ab) = (3a)b . . . associative property of multiplication(3 + a) + b = 3 + (a + b) . . . associative property of additionStep-by-step explanation:
The "associative property" can apply to any number of operations. The ones we're usually concerned with are multiplication and addition.
Basically, the associative property says you can regroup elements that have the same operation being performed on them. Effectively, that regrouping lets you perform the sequence of operations in whatever order you may choose.
For multiplication, the associative property can be written:
(ab)c = a(bc)
This form matches the first of the choices shown:
3(ab) = (3a)b
__
For addition, the associative property can be written:
(a+b)+c = a+(b+c)
This form matches the second of the choices shown:
(3 + a) + b = 3 + (a + b)
__
If you must select one answer, you need to know which associative property you're talking about.
Given that BD is an angle bisector
Solve for m
Answer:
24 degrees
Step-by-step explanation:
since BD is an angle bisector, the given numbers are equal to each other
this means that you can write the equation as: 6x = x + 20
subtract x from both sides to move the variable to one side, this leaves you with: 5x = 20
then divide both sides by 5 to find x: x = 4
now substitute this into the value given for angle ABD: 6(4)
this gives you 24 degrees
is 13.48 irrational or rational?
Answer:
It is irrational
Step-by-step explanation:
Rational numbers do not have decimals.
which time has the definition the location where the X and Y axis intersect the ordered pair is (0,0)"? A Ordinate B Abscissa C Origin D Quadrant
If a =
3
5
, b = 3, c = 1, d = 5, which equality is true?
A)
d
a
=
b
c
B)
a
b
=
c
d
C)
b
a
=
c
d
D)
a
d
=
b
c
Answer:
I'm nauseous, I'm dyin'
(She ripped my heart right out)
Can't find her, someone to
(My eyes are all cried out)
Lost it, riots
Gunfire inside my head, I've
Lost it, riots
Gunfire inside my head 78tt566786876
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
just took this test
find the value of x.
The answer is 13, but I need to show my work
Thank you guys
Answer:
Know the properties of vertical angles.
Step-by-step explanation:
Vertical angles are equal to each other, so we must make them equal to each other in an equation:
6x+2=80
6x=78
x=13
Which of the following cities does NOT rely on lumber for its economy?
Harriet earns the same amount of money each day. Her gross pay at the end of 7 workdays is 35h+56 dollars. Which expression represents her gross pay each day?
5h+8
8h+5
7h+11.2
11.2h+7
Answer:
the answer is A.
Step-by-step explanation:
The 7 work days is represented by a linear equation
The expression that represents her gross pay each day is 5h + 8
What are linear equations?Linear equations are equations that have constant rates
How to determine the linear equationThe earning at the end of 7 work days is represented as:
35h + 56
To calculate the gross pay, each day:
We divided the total earnings by 7
So, we have:
[tex]Gross =\frac{35h + 56}{7}[/tex]
Evaluate the quotient
[tex]Gross =5h + 8[/tex]
Hence, the expression that represents her gross pay each day is 5h + 8
Read more about linear equations at:
https://brainly.com/question/14323743
Convert 2∘F to ∘C round to one decimal place
Answer:
-16.7
Step-by-step explanation:
(2°F − 32) × 5/9 = -16.7°C
This is due soon today can somebody help?
35 points (if they're all right) comment if you don't know it
Answer:
1) P(1,0)Q(-2,3)R(-3,3)S(3,2)
2) (3,4)
3) (0,-4)
4) (1,2)
Step-by-step explanation:
Noah is finding 3/4 of 8 find his mistake and correct it
you need to show his steps or else i cant find his mistake
Write the slope-intercept form of the equation for
each graph described.
Line passing through (-2,-8) and (9,-8)
Answer:
y=-8
Step-by-step explanation:
First find the slope which is rise over run which equals (y2-y1)/(x2-x1)
(-8-(-8))/(9-(-2))
(-8+8)/(9+2)
0/11
slope = 0
Now you have the slope of 0. You can plug in one of the given point (x,y) to find b
-8=0(9)+b
-8=b
Combine everything
y=0x-8
y=-8
Given a 45-45-90 triangle with the hypotenuse measuring 5√7 feet. Which is the exact measure of each leg?
18 rolls of paper towels cost $25.99. Determine the cost of one roll of
toilet paper.
Answer:
$1.44
Step-by-step explanation:
Answer:
$1.44
Step-by-step explanation:
You divide $25.99 by 18 to get $1.44
emilio worked for 19.5 hours he earned 497.25 how much did he earn per hour?
Answer:
25.5 per hour
Step-by-step explanation:
497.25/19.5
Answer:
497.25 devided by 19.5= $25.5 per hour
Step-by-step explanation:
10. Which of the following does not represent an
arithmetic sequence?
A. -7, -3, 1, 5, 9...
B. -64, -16, -4, -1...
C. 0, 2, 4, 6...
D. 3,-2, -7, -12...
Answer:B
Step-by-step explanation:because an arithmetic sequence would be either adding or subtracting and B is dividing or if it’s easier from right to left it’s multiplying
Face no more through a garden and travels 1 1/8 meters in 1 1/2 minutes what is the snail’s rate in minutes per meter? HELP ME I NEED IT ASAP
Answer:
4/3 per minute
Step-by-step explanation:
Jared bought a cell phone for $42, Juanita spent 1 1/2 times as much how much did she spend
answer:
Juanita spent 1 1/2 times as much as Jared, how much did she spend?
$63
explanation:
one and a half of 42 is: 63
so,
the answer is Juanita spent $63!
Juanita paid $63 for the phone, which is equal to 3/2 of what Jared paid while buying the phone.
What is the definition of a mixed fraction?A mixed fraction is one that is represented by both its quotient and remainder. A mixed fraction is, for instance, 2 1/3, where 2 is the quotient and 1 is the remainder. An amalgam of a whole number and a legal fraction is a mixed fraction.How are mixed fractions written?Follow these procedures to convert an incorrect fraction to a mixed number:
Subtract the denominator from the numerator. The quotient's whole number component should be written down. Write the leftover amount on top of the original denominator.Given: Jared spent $42 on a cell phone.
We need to determine 1 and 1/2 which is 3/2 of total amount spent by Juanita.
So,
42(3/2) = $63
Therefore, Juanita spent $63 which is 3/2 amount spent by Jared in buying the cell phone.
Learn more about mixed fraction here:
https://brainly.com/question/414559
#SPJ2
Find three consecutive even integers whose sum is -42
Answer:
Three consecutive even integers are x, x+2, x+4.
Step-by-step explanation:
Their sum is x+x+2+x+4 = 3x+6.
Hope this helped! <3
does anyone know the answer to this question?
consider the sequence below. What are the next three terms in the sequence?
3, 7, 11, 15,....
Grace is measured for her annual check up. She is 28 1/5 inches tall. Last year she was 25 3/5 inches tall. How much did she grow in one year?
Answer:
2 3/5 inches in a year
Step-by-step explanation:
28 1/5 - 25 3/5 = 141/5 - 128/5 = 13/5 = 10/5 + 3/5 = 2 + 3/5 = 2 3/5
10 and 11.Is this relation a function?
у
3
6
7 6 5 4
5
3
2
.
1
.
-2 -1
-1
1 2 3 4
g
6 7
8x
8
-2
-3
Yes, this is a function. It does pass the vertical line test.
No, this is not a function. It does NOT pass the vertical line test.
11
What is the independent variable of the following statement?
Luke
goes to the store to buy some candy, The more money he has, the more candy he will buy.
The amount of candy he buys
The amount of money he has
The store he goes to
The type of money he has
How to estimate the sum of using different methods. 187,176,154,207
Answer:
tuff
guess you will fail
Step-by-step explanation:
Wayne created a dried fruit mix to use on his cereal this week. He
used 7 spoonfuls of raisins for every 3 spoonfuls of dried cherries.
If Wayne used 14 spoonfuls of raisins, how many spoonfuls of dried
cherries did he use?
Answer:
6
Step-by-step explanation:
i had this same problem :)
What is |-5 x 6 + 7|?
23
⊝
-65
⊝
-37
⊝
37
Answer:
your answer is A
Step-by-step explanation: