Which of these is the standard form of the following function?
f(x) = -9(x + 5)2 + 4
f(x) = -9x2 - 90x - 221
AX) = 9x2 - 90x - 221
f(x) = -9x2 – 180x – 221
RX) = 9x2 - 180x + 221
Answers
Answer:
A
Step-by-step explanation:
Given
f(x) = - 9(x + 5)² + 4 ← expand parenthesis using FOIL
= - 9(x² + 10x + 25) + 4 ← distribute parenthesis by - 9
= - 9x² - 90x - 225 + 4 ← collect like terms
= - 9x² - 90x - 221 ← in standard form
Answer: Bro write the question better
Step-by-step explanation:
Related Questions
if b=5 what is b3 answer?
A) 15
B) 25
C) 75
D) 125
Answers
3x5 is 15
Answer:
D
Step-by-step explanation:
We are given
b^3
and
b=5
We are given what b is equal to, 5. Therefore, we can substitute 5 in for b
5^3
Evaluate the exponent. 5^3 is the same as multiplying 5, 3 times.
5*5*5
25*5
125
Therefore, D, 125 is the correct answer
Ms lee is handing out wristbands as students enter the dance. There are 40 black , 20 yellow, 25 orange, and 15 purple wristbands, what is the probability that Melanie will get an orange wristband?
Answers
Answer:
[tex] p =\frac{25}{40+20+25+15}= \frac{25}{100}= 0.25[/tex]
So then the probability for this case would be 0.25 or 25%
Step-by-step explanation:
For this case we have 40 black , 20 yellow, 25 orange, and 15 purple wristbands
And we want to find the probability that Melanie will select an orange wristband so we can use the definition of probability:
[tex] p =\frac{successes}{total}[/tex]
And replacing we got:
[tex] p =\frac{25}{40+20+25+15}= \frac{25}{100}= 0.25[/tex]
So then the probability for this case would be 0.25 or 25%
Can someone please do these problems on scratch paper 11-16
Answers
Write an equation of the line that passes through (2, −2) and is parallel to the line y=3x+9.
Answers
Step-by-step explanation:
Parallel lines have the same slope, so we know that our line will have a slope of 3 because y = 3x + 9 has a slope of 3. Now, we can use the point-slope formula of the line to find the equation.
We have y - y₁ = m (x - x₁) (m = 3, x₁ = 2, y₁ = -2)
y- (-2) = 3 (x - 2)
y + 2 = 3x - 6
y = 3x - 8
Hope this helps!
Answer:
y = 3x - 8
Step-by-step explanation:
We know that parallel lines have the same gradient. In this situation we want want to work the equation of the line that is parallel to y = 3x + 9 and passes through ( 2 , - 2 ). We know that equations of lines usually go in the format of y = mx + c
↔ Where 'm' is the gradient / slope
↔ Where 'c' is the y - intercept
Using the information in the first sentence we can set up an equation to find the value of 'c'
⇒ Form the equation
→ y = 3x + c
⇒ Substitute ( 2 , -2 ) into the equation to find the value of c
→ -2 = 6 + c
⇒ Minus 6 from both sides to isolate c
→ -8 = c
⇒ Put the value of c back into y = 3x + c
→ y = 3x - 8
So equation of the line that passes through ( 2, −2 ) and is parallel to the line y = 3x + 9 is y = 3x - 8
The area of a parallelogram 420 square cm and the height is 35 cm. Find the corresponding base.
Answers
Answer:
12
Step-by-step explanation:
420/35
12
12*35=420
Answer:
The corresponding base is 12 cm.
Step-by-step explanation:
The area of a parallelogram is calculated with the formula of A=bh, where b is the base and h is the height.
You can apply the problem to the formula:
420=b(35)
To solve, work backwards.
Divide 35 to both sides.
420 divided by 35 is 12
b=12
Hope this helps!
In ABC, A is a right angle. And B = 45 degrees. What is the length of BC
A) 54ft
B) 17√ 3ft
C) 17√ 2ft
D) 17ft
Answers
Given that this is an isosceles triangle (triangle with two congruent sides) and is 45 degrees on both sides then this would be considered a 45-45-90 triangle
The rule for this type of triangle is that going from a congruent side (for example segment AC) to BC would result in your multiply by the square root of 2.
Multiplying square roots and whole numbers are fairly easy, just combine it like multiply with a variable. Since the rule for a 45-45-90 triangle is to multiply the side length by the square root of 2 to get the hypotenuse then you would multiply 17 by the square root of 2 which will give you answer choice C.
If you encounter a similar problem like this but with the hypotenuse to the side length then you would do the OPPOSITE of multiplying by the square root of 2 (which would be dividing the hypotenuse by the square root of 2).
How many triangles exist with the given angle measures?
Answers
Answer:
The answer would be one triangle. it is only one triangle because the sum of the angles of any triangle have to equal 180°. So if you add all of the angles you gave us, that would equal 180°.
I hope that was the answer you were looking for.
Step-by-step explanation:
What is the volume of a cube that has a height of 10 inches
Answers
Answer:
1000 inches
Step-by-step explanation:
V= a3=103=1000in³
Answer:1,000in3
Step-by-step explanation:
V=LxWxH
V=10x10x10
V= 1,000
Which of the following principles of experimental design reduces errors due
to chance by repeating an experiment on different subjects under different
conditions?
A. Placebo effect
B. Replication
C. Randomization
D. Control
E. Blindness
Answers
Answer:
Replication
Step-by-step explanation:
Replication meaning it's going to be repeated, also it said replication was right on a-pex
Which salt produces the least salt hydrolysis in an aqueous solution?
Answers
Answer:
Potassium Iodide
Step-by-step explanation:
KI (potassium iodide) is a salt of stable (not radioactive) iodine that can help block radioactive iodine from being absorbed by the thyroid gland, thus protecting this gland from radiation injury. The thyroid gland is the part of the body that is most sensitive to radioactive iodine.
I hope this helps. If you have any more questions, please feel free to post them and someone will be able to help you, whether it's myself or others. Please leave a like, rating, and if possible, Brainliest. Have a great day!
5x+2y = 10
Identify the y-intercept of the
following equation.
Answers
Answer:
y intercept = 10
hope this answer helped
To the nearest square centimeter, what is the area of the shaded sector in the
circle shown below?
Answers
Answer:
87 cm2
Step-by-step explanation:
A
Answer:
[tex]87 \: {cm}^{2} [/tex]
Step-by-step explanation:
I just did the test
the ratio of the corresponding edge lengths of two similar solids is 4:5. What is the ratio of their volumes?
Answers
Answer: i think its b
Step-by-step explanation:
must read!!1
because the other ones for ex: A when 4 times 4 =16 but 5 times 5=25 not same numbers being multiplied this I my hypothesis
Which expression is equivalent to 10√5
Answers
Answer:
A. √500
Step-by-step explanation:
Since 500 = 5·100 = 5·10² you can move the 10² out of the √ as 10.
Hence 10√5 = √500
So we're using these rules:
√a·b = √a·√b
and of course
√a² = a (a>0)
Which product of prime polynomials is equivalent to 4x°- 6x
• 44³ _ 6x²2
O 2x2(x + 1)(2x - 3)
O 2x²(x2 - 1)(2x + 3)
O x2(x + 1)(2x - 3)
O2(x2 - 1)(2x + 3)
Answers
Answer:
the answer is O 2x (x2-1)(2x+ 3)
Answer:
The correct answer is 2x^2(x^2 + 1)(2x - 3)
Step-by-step explanation:
First, you would factor out a single factor out of all of them, which is 2x^2. So, you would have 2x^2 (2x^3 - 3x^2 + 2x - 3) Then, you would use double grouping. When you have double grouped, you will have x^2(2x-3) and 1(2x-3) for the factors. The final factors for that is (x^2 + 1) and (2x - 3), then you would just put 2x^2 in the front to give you the final factorization and the correct answer stated at the top.
Chang purchased n notebooks. They were 5 dollars each. Write an equation to represent the total cost c that Chang pald.
Answers
Answer:
C=5n
Step-by-step explanation:
A linear function
Directly proportional
Susan is asked to select 2 shapes at random out of a bag. The bag contains 3 triangles and 2
pentagons. She does not replace the first shape before selecting the second shape. What is the
probability that she chooses 2 triangles?
ASAP
Answers
Answer:
[tex]\frac{3}{5}[/tex]
there are five shapes total
3 triangles and 2 pentagons
sense there are 3 triangles she will have a probability of 3 over 5
What are ways that pioneer species differ from climax communities? Check all that apply.
Step-by-step explanation:
you add the total number of objects in this case shapes
and that is the denomantor
then what ever the object is in this case shapes that is your numerator
Please help me with this question I will mark you as the best answer
Answers
Answer:
2/3
Step-by-step explanation:
By counting the distance from point to point, I got 4 up, 6 to the right, aka 4/6
By simplifying it, I get 2/3!
Hope that helps!
Answer:
2/3 the second one
I hope this helps you
16 A rocket is launched from atop a 101-foot cliff with an initial velocity of 116 fts. Use the vertical motion formula
h(t)= -16t squared+ vt +s where v is the initial velocity and s is the starting height, to find how long it take the rocket
to hit the ground after it is launched. Round to the nearest hundredth of a second.
Answers
Answer:
6 seconds
Step-by-step explanation:
What is the common difference between the terms in this arithmetic sequence? 8,15,22,29,36..
Answers
Answer:
7
Step-by-step explanation:
just subtract 7 from largest number down to smaller numbers to notice the pattern. :)
What is the surface of this square pyramid
Answers
Let’s breakdown this question:
They are asking to find the surface area of this square pyramid. The surface area is the total area of all the faces in the square pyramid. The faces are the base (which is a square) and the four triangles surrounding it.
Let’s look at the areas of all the faces.
Area of the square:
Side x Side
3 x 3
= 9
Area of one triangle:
1/2 x Base x Height
1/2 x 3 x 4
= 1/2 x 12
= 6
There are four triangular faces that make up this square pyramid.
So, area of four triangles
= 4 x (Area of one triangle)
= 4 x (6)
= 24
The total surface area of this triangular pyramid
= (Area of square) + (Area of four triangles)
= (9) + (24)
= 33 ft.^2
Yehudy invested $19.250 in a simple interest account. After 6 years and no additional deposits or withdrawals, the account balance was
$22.957.55. Find the interest rate for the account. Round to the nearest hundredth of a percent if needed
Answers
Answer: 3.21%
Step-by-step explanation:
Interest = (1/t)(A/P - 1)
Combine the Expression: (2a + 8) + (4a + 5)
Answers
Answer:
6a +13
Step-by-step explanation:
(2a + 8) + (4a + 5)
Combine like terms
2a+4a +8+5
6a +13
Answer:
6a + 13
Step-by-step explanation:
1. simplify
(2a + 8) + (4a + 5)
2. Reorder the terms
(8 + 2a) + (4a + 5)
3. Remove parentheses
8 + 2a + 4a + 5
4. Combine like terms
8 + 5 = 13
2a + 4a = 6a
So, 6a + 13 is your answer.
can someone answer this I'll mark brainliest for the correct one i don't know what phrases they are talking about either so um yeah if someone could clarify that too that would definitely be the brainliest but you have to answer the original question too maybe these will help too the actual answers for some reason they change that....idk why but yeah, please answer
Answers
Answer:
Is this PSAT or where are u answering this question?
Please help with this
Answers
Answer:
C. [tex]c = \frac{-7+-\sqrt{129} }{8}[/tex]
Step-by-step explanation:
Before we start, you can think of the variable "c," as x.
The quadratic formula/equation is:
[tex]x = \frac{-b+-\sqrt{b^2-4ac} }{2a}[/tex]
The setup is:
[tex]ax^2+bx+c=0[/tex]
[tex]4c^2+7c-5=0[/tex]
Plug in the numbers accordingly to the letter associated, like so:
[tex]x = \frac{-7+-\sqrt{7^2-4(4)(-5)} }{2(4)}[/tex]
[tex]x = \frac{-7+-\sqrt{49+80} }{8}[/tex]
[tex]x = \frac{-7+-\sqrt{129} }{8}[/tex]
I WILL GIVE YOU BRAINLIEST, AND 30 POINTS SO PLEASE HELP ME, IT'S URGENT!
Answers
Answer:
31.5 units^2
Step-by-step explanation:
This is a right triangle
The x dimension is from B to C
-4 to 3 is 7 units
The y dimension is from A to B
5 to -4 = 9 units
The area of a triangle is
A = 1/2 bh
A = 1/2 (7)(9)
= 31.5
Answer:
First one:
31.5 units²
Step-by-step explanation:
AB: 5 - (-4) = 9 units
BC: 3 - (-4) = 7 units
ABC is a right angle triangle with 90° at B
Base: BC
Height: AB
Area:
½ × base × height
½ × 7 × 9
31.5 units²
Your teacher is giving away candy from a bag. The bag contains 5 Reese's Peanut
Butter Cups, 4 Snickers, 3 Sour Patch, & 6 Skittles. Find the probability that you and
your friend choose Snickers. Find P(Snickers n Snickers).
Answers
Answer:
P(Snickers n Snickers) = [tex]\frac{2}{51}[/tex]
Step-by-step explanation:
Given
Bag of candy
5 Reese's Peanut Butter Cups,
4 Snickers
3 Sour Patch
6 Skittles
Required
Calculate P(Snickers n Snickers)
To solve this question, it'll be assumed that you and your friend selected snickers at a consecutive time.
First, we need to calculate the total number of candy
Total = 5 + 4 + 3 + 6
Total = 18 candies
P(Snickers n Snickers) means P(Snickers and Snickers);
i.e. the probability of selecting snicker twice
Number of snickers = 4;
So, the probability of you selecting a snicker first is [tex]\frac{4}{18}[/tex]
This is gotten by dividing number of snickers by total candies.
At this point, there are 4 - 1 snickers left and there are 18 - 1 candies left;
So, the probability of your friend selecting a snicker is [tex]\frac{4 - 1}{18 - 1}[/tex].
So, P(Snickers n Snickers) = [tex]\frac{4}{18}[/tex] * [tex]\frac{4 - 1}{18 - 1}[/tex]
P(Snickers n Snickers) = [tex]\frac{4}{18}[/tex] * [tex]\frac{3}{17}[/tex]
P(Snickers n Snickers) = [tex]\frac{2}{9}[/tex] * [tex]\frac{3}{17}[/tex]
P(Snickers n Snickers) = [tex]\frac{2}{3}[/tex] * [tex]\frac{1}{17}[/tex]
P(Snickers n Snickers) = [tex]\frac{2}{51}[/tex]
Hence, the probability of you and your friend choosing snickers is [tex]\frac{2}{51}[/tex]
A brown-eyed father and a green-eyed mother have a 25% chance of having a green-eyed child. What is the probability that, in a family of four children, three of them have green eyes?
a. 0.421 875 c. 0.011 718 75
b. 0.046 875 d. 0.1875
Answers
Part A. The tee shirts for the fundraiser will cost $10 to make and there is a $25 delivery fee to have the shirts delivered. 1) Write an expression to represent the student government’s total cost of ordering “t” amount of tee shirts. please helpppppp
Answers
Answer:
x=10t+25
Step-by-step explanation:
The delivery fee is 25 dollars and each shirt is 10 dollars
How does knowing the absolute value of an integer help in determining the distance of two ordered pairs?
Answers
The absolute value helps because when you the absolute value is the the distance of a number away from 0. Meaning that if your finding distance it will never be negative.
Finding the distance between the two is subtracting one of the numbers from each ordered pair from each other. Whether the number is negative or positive, you always turn it, or leave it into a positive number because distance is always positive.
Hope this helps !
