I NEED HELP!
The function f(x) is a quadratic function and the zeros of f(x) are - 2 and 5. The y-intercept of f(x) is 30. Write the equation of the quadratic polynomial in standard form.
f(x)=___________
Answers
Answer:
Step-by-step explanation:
First of all you have to put the zeros into factor form.
y1 = (x + 2)(x - 5)
Notice that the x changes sigh. You say that the zeros are -2 and 5. To get y1 to go to zero, you must make x the opposite sign of what you are given.
Now you have to expand the factored form to get the standard form
y = x^2 + 2x - 5x - 10
y = x^2 - 3x - 10
That's not the right answer.
f(0) = 30 but you have - 10 at the end so you have to multiply the factored form by - 3
-3(f(x)) = -3(x + 2)(x - 5)
-3(f(x)) = -3(x^2 - 3x - 10)
f(x) = -3x^2 + 9x + 30
f(0) = -3(0)^2 + 9(0) + 30
f(0) = 30
The quadratic still has roots of (x +2)(x - 5) but that 3 makes the y intercept = 30.
See the graph below.
Related Questions
Subtracting fractions with unlike denominators
Answers
Answer:
Answer is 9/8
Step-by-step explanation:
18/8-9/8=9/8
Answer:
9/8
Step-by-step explanation:
9/4 - 9/8
9/4 x 2 = 18/8 to match denominators
18/8 - 9/8
= 9/8
The average length of a female dolphin is about 171 inches (in). What is this length in feet (ft) and inches (in)?
Answers
Answer:
14 feet and 3 inches
Step-by-step explanation:
Answer:
14.25ft
171 in
Step-by-step explanation:
Find the value of x.
Answers
x=20
x=142
:))))))))
Explanation
10
10
14
50
50
10
10
NOTE: Figure not drawn to scale.
Which statement can be used to prove that the triangles above are congruent?
A If two triangles have three pairs of corresponding sides that are congruent, then the triangles are congruent.
B If two triangles have three pairs of corresponding angles that are congruent, then the triangles are congruent
If two triangles have two pairs of corresponding sides that are congruent, and the included angles are congru
triangles are congruent.
D
If two triangles have to pairs of corresponding angles that are congruent, and the included sides are congru
triangles are congruent.
Answers
Answer:
do you have a picture or somthing beacuse i dont understand what your asking
Step-by-step explanation:
Answer: prove that two triangles with three congruent, corresponding angles are congruent, you would need to have at least one set of corresponding sides that are also congruent.
Step-by-step explanation:
A bag of flour weighs 15 kg. A baker has one bag of flour. She uses 1.065 kg every day. How much flour does she use in 8 days? How much flour is left over after 8 days?
Answers
Answer:
She uses 8.52 kgs of flour in 8 days
There are 6.48 kgs of flour left over after 8 days.
Step-by-step explanation:
First, you need to multiply 1.065 by 8 to get how much flour she uses in 8 days.
1.065 times 8 is 8.52. She uses 8.52 kgs of flour in 8 days.
Now, to get how much flour is left over after 8 days, you need to subtract 8.52 from 15 kgs.
15 - 8.52 = 6.48 kgs.
Que funciones madre tienen su punto de inicio en el origen
Answers
Answer:
Funciones radicales
Step-by-step explanation:
Funciones radicales Esto significa que el dominio y el rango de y = √x son ambos [0, ∞). El punto de partida o vértice de la función padre también se encuentra en el origen. La función madre y = √x también aumenta en todo su dominio.
Based on the table, which function models this situation?
Answers
Answer:
F(n) =-3n+24
Step-by-step explanation:
how do i write the product of q and 11 as an algebraic expression
Answers
Answer:
since the product meaning multiplication, it basically means 11 (q) which is 11q.
HURRY PLEASE
A teacher surveyed her class after they had taken a vocabulary test. Elghteen of the students claimed they had studled
at least one hour for the test. The remaining twelve students admitted that they had not studied for the test at all. The
test results (expressed as a percent) for the two groups are shown below.
Studied: 87, 100, 94, 79, 92, 100, 95, 83, 89, 99, 100, 91, 89, 95, 100, 93, 96, 83
Did Not Study. 82, 72, 45, 91, 58, 83, 65, 87, 90, 77, 73, 89
Part 1: Calculate the mean of the group that did not study, rounded to the nearest tenth.
Part 2: Calculate the mean absolute deviation of the group that did not study, rounded to the nearest tenth.
Part 3: How many of the scores (from the group that did not study) are more than two mean absolute deviations from the
mean?
Answers
Answer:
Crown the other person brainliest
Step-by-step explanation:
:)
Helppppp please it’s timed
Answers
Answer:
Estimated population of New Hampshire is
A. 35,000
Please help!
How are 3(3x+5) and -9x-15 equivalent to 9x+15?
Answers
find the slope between the given two points
Answers
Slope can be found using the following equation:
slope (m) = [tex]\frac{y_2 - y_1}{x_2 - x_1}[/tex]
7) Let:
[tex](x_1 , y_1) = (-1 , -11)\\(x_2 , y_2) = (-6 , -7)[/tex]
Plug in the corresponding numbers to the corresponding variables:
m = [tex]\frac{-7 - (-11)}{-6 - (-1)} = \frac{-7 + 11}{-6 + 1} = \frac{4}{-5} = -\frac{4}{5}[/tex]
Slope: [tex]-\frac{4}{5}[/tex]
8) Let:
[tex](x_1 , y_1) = (-7 , -13)\\(x_2 , y_2) = (1 , -5)[/tex]
Plug in the corresponding numbers to the corresponding variables:
m = [tex]\frac{-5 - (-13)}{1 - (-7)} = \frac{-5 + 13}{1 + 7} = \frac{8}{8} = 1[/tex]
Slope: [tex]1[/tex]
9) Let:
[tex](x_1 , y_1) = (-5 , 3)\\(x_2 , y_2) = (8 , 3)[/tex]
Plug in the corresponding numbers to the corresponding variables:
m = [tex]\frac{3 - (3)}{8 - (-5)} = \frac{0}{8 + 5} = \frac{0}{13} = 0[/tex]
Slope: [tex]0[/tex]
10) Let:
[tex](x_1 , y_1) = (3 , -2)\\(x_2 , y_2) = (15 , 7)[/tex]
Plug in the corresponding numbers to the corresponding variables:
m = [tex]\frac{7 - (-2)}{15 - 3} = \frac{7 + 2}{15 - 3} = \frac{9}{12}[/tex]
Simplify the slope. Divide common factors from both the numerator and denominator:
[tex](\frac{9}{12})/(\frac{3}{3} ) = \frac{3}{4}[/tex]
Slope: [tex]\frac{3}{4}[/tex]
11) Let:
[tex](x_1 , y_1) = (-5 , -10)\\(x_2 , y_2) = (-5 , -1)[/tex]
Plug in the corresponding numbers to the corresponding variables:
m = [tex]\frac{-1 - (-10)}{-5 - (-5)} = \frac{-1 + 10}{-5 + 5} = \frac{9}{0} =[/tex] undefined.
Slope: undefined
12) Let:
[tex](x_1 , y_1) = (-4 , -2)\\(x_2 , y_2) = (-12, 16)[/tex]
Plug in the corresponding numbers to the corresponding variables:
m = [tex]\frac{16 - (-2)}{-12 - (-4)} = \frac{16 + 2}{-12 + 4} = \frac{18}{-8} = -\frac{18}{8} = ((-\frac{18}{8})/( \frac{2}{2}) = -\frac{9}{4}[/tex]
Slope: [tex]-\frac{9}{4}[/tex]
~
PLEASE HELP I WILL MARK BRAINLIEST
Answers
Hope this helps :)
(Would love brainliest)
6. Rewrite each of the following expressions without roots by using fractional exponents.
Please help! I have tried to look it up everywhere and I don’t understand how to do it. Anything helps!!
Answers
Answer:
A. x¹/²
B. x¹/³
C. x¹/⁷
D. x⁵/²
E. x¹¹/³
F. 1 / x¹/⁴
G. 1 / x²/³
H. 1 / x⁹/²
Step-by-step explanation:
A. √x
Recall
√M = M¹/²
Therefore,
√x = x¹/²
B. ³√x
Recall
ⁿ√M = M¹/ⁿ
Therefore,
³√x = x¹/³
C. ⁷√x
Recall
ⁿ√M = M¹/ⁿ
Therefore,
⁷√x = x¹/⁷
D. √x⁵
Recall
√Mⁿ = Mⁿ/²
Therefore,
√x⁵ = x⁵/²
E. ³√x¹¹
Recall
ⁿ√Mᵃ = Mᵃ/ⁿ
Therefore,
³√x¹¹ = x¹¹/³
F. 1 / ⁴√x
Recall
ⁿ√M = M¹/ⁿ
Therefore,
1 / ⁴√x = 1 / x¹/⁴
G. 1 / ³√x²
Recall
ⁿ√Mᵃ = Mᵃ/ⁿ
Therefore,
1 / ³√x² = 1 / x²/³
H. 1 / √x⁹
Recall
√Mⁿ = Mⁿ/²
Therefore,
1 / √x⁹ = 1 / x⁹/²
similfy (6^(7))^(3) Thank you!
Answers
Answer:
6^21
Step-by-step explanation:
(6^7)^3 = 6^(7*3) = 6^21
The following sequence is arithmetic. Fill in the missing terms.
12 , ? , ? , ? , 18, ? ...
Answers
Answer:
12,13.5,15,16.5,18,19.5
Step-by-step explanation:
just add 1.5
Help me please I need this by 5:00 help me please
Answers
Answer:try doing the method
Step-by-step explanation:
A= Base Side
B= Base Side
C=Base Side
H=Height
HOPE THAT HELPS!
Aiden got a loan for $600 that has a 5% simple interest for
2 years.
Answers
Answer:
The simple interest is $60 for 2 years
Step-by-step explanation:
1. 600*0.05=30
2. 30*2=60
There are 42 more red marbles in a jar than there are white marbles. If there are 238 marbles in the jar, how many of them are red and how many are white?
Answers
Answer: red marbles = 140
White marbles = 98
Step-by-step explanation:
Let the number of white marbles be represented by x
Since there are 42 more red marbles in a jar than there are white marbles, red marbles will be: = x + 42
Since there are 238 marbles in the jar, this can be represented in an equation as:
x + x+42 = 238
2x + 42 = 238
2x = 238 - 42
2x = 196
x = 196/2
x = 98
White marbles = 98
Red marbles = x + 42
= 98 + 42
= 140
Which order pair could represent the location of point h
Answers
HELP!!! answer quickly pls
Answers
Answer:
3
Step-by-step explanation:
Answer:
3
Step-by-step explanation:
Each of the green lines has 3 times the length of the corresponding blue line. Thus the dilution factor is 3.
Plz only find the shaded area only I would appreciate if you did this on paper and showed all steps
Answers
Which table represents a linaer function
Answers
Answer:
Top left table
Answer:
the first one
Step-by-step explanation:
look at the picture if it does make sense let me know
PLEAS EHELP ILL GIVE BRAINLIEST
PLEASE SHOW ALL WORK AND BE SPECIFIC
Answers
Answer:
Where is the question? You didn't post it.
A circle has a radius of 11 meters. What is the area of the circle?
Answers
Answer:
A≈380.13 m²
Step-by-step explanation:
looked it up
Answer:
A= 380.13 m²
Step-by-step explanation:
A=[tex]\pi r^{2}[/tex]
A= [tex]\pi[/tex]x[tex]11^{2}[/tex]
A= 380.13
can yu write a linear equation for this
Answers
Answer:
Step-by-step explanation:
Answer: 0.5x + 5 = 20Please mark as brainliest for future answers :)
Answer:20
Step-by-step explanation:
Which is one of the transformations applied to the graph of f(x)=x2 to change it into the graph of g(x) = –x2 + 16x – 44?
The graph of f(x) = x2 is widened.
The graph of f(x) = x2 is shifted left 8 units.
The graph of f(x) = x2 is shifted down 44 units.
The graph of f(x) = x2 is reflected over the x-axis.
Answers
Answer:
The graph of f(x)=x^2 is reflected over the x-axis. The answer is D
Answer:
The answer is D
What is the order of these numbers from least to greatest?
4.03 4.3 4.003
Answers
please help me asap
Answers
Answer:
-18 10
5 -3
Step-by-step explanation:
theres some formula that tells you the general rule for multiplying 2x2 matrices but I cant find it, try looking in your textbook or ask ur teacher
12. Solve for x. x = ___________
Answers
Step-by-step explanation:
this is math right what grade is this