Which line(s) intersect the parabola y = x^2 − 3x + 4 at two points? Select all that apply. A. y = –3x + 2 B. y = –3x + 3 C. y = –3x + 5 D. y = –3x + 6
Answer:
C and D
Step-by-step explanation:
Equating the line A and the parabola, we get
-3x + 2 = x² - 3x + 4
0 = x² - 3x + 4 +3x - 2
0 = x² + 2
-2 = x²
which has no real solutions. Then, the line A and the parabola don't intersect each other.
Equating the line B and the parabola, we get
-3x + 3 = x² - 3x + 4
0 = x² - 3x + 4 + 3x - 3
0 = x² + 1
-1 = x²
which has no real solutions. Then, the line B and the parabola don't intersect each other.
Equating the line C and the parabola, we get
-3x + 5 = x² - 3x + 4
0 = x² - 3x + 4 + 3x - 5
0 = x² - 1
1 = x²
√1 = x
which has 2 solutions, x = 1 and x = -1. Then, the line C and the parabola intersect each other.
Equating the line D and the parabola, we get
-3x + 6 = x² - 3x + 4
0 = x² - 3x + 4 + 3x - 6
0 = x² - 2
2 = x²
√2 = x
which has 2 solutions, x ≈ 1.41 and x ≈ -1.41. Then, the line D and the parabola intersect each other.
The base of the square pyramid shown has an area of 576 square units. If the slant height of the pyramid is 20 units, what is the height of the pyramid?
18 units
13.4 units
16 units
31.2 units
Answer:
Option C - 16 units
Step-by-step explanation:
Since the base is a square and it has an area of 576 sq.units, thus, if the side length of the base is x, then;
x² = 576
x = √576
x = 24
To get the height, we will divide this side length by 2 and use Pythagoreas Theorem.
Since, we are told that the pyramid has a slant height of 20 units,
So using pythagoras theorem, we can find the height of the pyramid as;
h² = 20² - (24/2)²
h² = 400 - 144
h² = 256
h = √256
h = 16 units
What is the surface area of the prism in square inches
Answer:
276
Step-by-step explanation:
Hope this helps.
PLEASE HELP.....................
Answer:
I believe the answers are C, D, and E. Sorry if I am wrong.
Explanation:
The discriminant is
D = b^2 - 4ac
D = (-5)^2 - 4(3)(-1)
D = 25 + 12
D = 37
This means 37 is under the square root, and we know the answers are B and F due to this. Also note with these two answer choices, they are in the form [tex]\frac{-b \pm \sqrt{D}}{2a}[/tex] where...
a = 3, so 2a = 2*3 = 6b = -5, so -b = -(-5) = 5Choices A, C, D, and E can be eliminated as the discriminant for these is D = 13.
The 6 participants in a weight-loss class lost the following weights (in pounds) after three weeks of dieting.
0,1, 6, 1,5,5
Assuming that these weights constitute an entire population, find the standard deviation of the population. Round your answer to two decimal places.
Answer:
2.38
Step-by-step explanation:
To find the standard deviation, subtract the mean from each number given, square each outcome, add them all together, divide all of that by the number of outcomes, then square root the whole equation.
Doing this gets you to 2.380476143, rounding this to two decimal places gives 2.38
Find def, help geometry
Answer:
d
Step-by-step explanation:
What’s the answer????
Answer:
80
Step-by-step explanation:
the formula is base times height the height is 10 and the base is 8 so 10 times 8 equals 80
Use the grouping method to factor the polynomial below completely.
3x3 + 9x2 + 4x + 12
O A. (3.2 + 4)(x+4)
O B. (3x2+3)(x + 4)
O c. (3x2 + 4)(x+3)
O D. (3x + 3)(x+3)
Answer:
C. (3x^2+4)(x+3)
Step-by-step explanation:
3x^3+9x^2+4x+12
=(3x^3+9x^2)+(4x+12)
=3x^2(x+3)+4(x+3)
=(3x^2+4)(x+3)
Therefore, C. (3x^2+4)(x+3)
The correct factor of the polynomial is,
⇒ (x + 3) (3x² + 4)
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
We have to given that;
The expression is,
⇒ 3x³ + 9x² + 4x + 12
Now, We can factor the polynomial as;
⇒ 3x³ + 9x² + 4x + 12
⇒ 3x² (x + 3) + 4 (x + 3)
⇒ (x + 3) (3x² + 4)
Thus, The correct factor of the polynomial is,
⇒ (x + 3) (3x² + 4)
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The square root of a number is between 5 and 6. Which of the following could be the
number? Select all that apply.
42
26
31
11
Answer:
26 and 31
Step-by-step explanation:
The square root of 26 is between 5 and 6, and so is the square root of 31.
15 ÷ 3 = Δ
Find the value of Δ.
A)
5
B)
12
C)
18
D)
45
Answer:
A)5 is the answer
Step-by-step explanation:
this is the answer
Answer:
A- 5
Step-by-step explanation:
15/3 = 5
I need the right answer please
Answer:
a) i) x = 6, y = 9
ii) 20
iii) -5
b) -40
Step-by-step explanation:
3(6) - 2(9)
18 - 18 = 0
greatest
3(10) - 2(5)
30 - 10
20
least
3(5) - 2(10)
15 - 20
-5
5(a - 4b)
5[-7 - 4(¼)]
5(-7 - 1)
5(-8)
-40
Which of the following transformations will produce a figure that is similar, but not congruent, to the original figure?
A.
dilation
B.
rotation
C.
reflection
D.
translation
Answer: The answer is A. dilation :)
The transformation that produces a similar figure that is not congruent to the orginal figure is: A. dilation.
What is Dilation?Dilation is a formm of transformation which involves the enlargement or reduction of an image to create a new image that is similar to the original image.
By implication, the new image has a different size but the same shape with the original image.
Dilation produces a figure that is similar but not congruent to the original figure.
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The probability of not choosing a black shirt is...? please explain!
Answer:
80% or 8/10.
Step-by-step explanation:
Assuming the shirts in the bottom right are the "black" shirts, there is ten total shirts (1 red, 4 blue, 2 green, 1 white, 2 black.) Out of the ten shirts, 8 are not black. This means that there is an 80% chance that you will select a shirt that is NOT black.
Choose the function whose graph is given below.
Y = csc x
Y= tan x
Y= sec x
Y = cot x
The given graph shown in the image is of function y = cotx. Option D is correct.
Given that,
To determine the function whose curve is plotted in the graph.
The graph is a demonstration of curves that gives the relationship between the x and y-axis.
What are trigonometric equations?These are the equation that contains trigonometric operators such as sin, cos.. etc.. In algebraic operation.
Here,
Since the given graph is of cots because only cotx tends to infinity whenever x tends nπ where n is an integer on the number line.
Thus, the given graph shown in the image is y = cotx. Option D is correct.
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Ok I don’t really understand this can one of you help me please
Answer:
I'm not sure if you still need it but the answer is the third one.
Step-by-step explanation:
In order for a line to be parallel the lines need to have the same slope.
Answer:
The answer would be y=3/4X+9
Step-by-step explanation:
It must have the same slope since it is parallel, so
m = 3/4
y - y1 = m(x - x1)
y - 0 = (3/4)[x - (-4)]
y = (3/4)(x + 4)
BRAINLIEST!! ASAP HELP
19. The tables show the number of books read during the summer by students in two homerooms.
Describe the center and spread of the number of books read by students in Ms. Vieth’s class using either the mean and standard deviation or the five-number summary. Justify your choice using the histogram. Round to the nearest tenth if necessary.
Answer:
I believe the answer would be A. I hope this helps.
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
Conor buys 75 tokens for games at the arcade. The price to play each game is 3 tokens. If Conor has already played x games, which expression is equivalent to the number of tokens that remain?
A. 3x – 75
B. 3(25 – x)
C. 3(25 + x)
D. 75 + 3x
Answer:
B
Step-by-step explanation:
He didn't get more tokens, so it cannot be D or C, and 3x-75 is simply not true if, for example, he played 2 games.
Pleae mark as Brainliest! :)
Have a nice day.
The value of expression is equivalent to the number of tokens that remain is,
⇒ 3(25 - x)
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
Conor buys 75 tokens for games at the arcade.\
And, The price to play each game is 3 tokens.
Here, Conor has already played x games.
Hence, The value of expression is equivalent to the number of tokens that remain is,
⇒ 75 - 3x
⇒ 3 (25 - x)
Thus, The value of expression is equivalent to the number of tokens that remain is,
⇒ 3(25 - x)
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Solve: 5/9 + (-4/5)
Answer:
-11/45
Step-by-step explanation:
5/9 + (-4/5)
25/45 + (-36/45)
(Multiplied each side by opposite denom.)
25/45 -36/45
Simplify
25-36=-11
-11/45
Cannot simpfily
Answer:
Step-by-step explanation:
5/9 + (-4/5)
-11/45 or − 0.244444444 and on and on forever
Does 10 24 26 make a right triangle
Answer:
Yes
Step-by-step explanation:
Answer:
no
Step-by-step explanation:
i can only assume you mean degrees, you worded it strangely, but they add to 60 degrees and a right triangle is 90
You pick a marble and spin the spinner. How many outcomes are possible?
Answer:
4 i think
Step-by-step explanation:
can you go one question to the left i need help
A 25 foot ladder is leaning against a building. The building is 20 feet high. How far away from the building is the bottom of the ladder
Answer:
15 ft
Step-by-step explanation: To solve this, you have to use the Pythagorean Theorem. The 25 ft is the hypotenuse, the longest side of the triangle. the building's height, 20 ft is one of the legs. The missing measurement is one of the other legs.
Pythagorean Theorem: A^2 + B^2 = C^2
A and B are legs and C is the hypotenuse.
Substitute the values:
20^2 + B^2 = 25^2
400+ B^2 = 625
625 - 400 = 225
225 = 15^2
What is -0.555555 (5 is repeating) as a fraction (this is 20 points)
Answer:
-5/9
Step-by-step explanation:
let x=-0.55555....
10 x=-5.55555....
subtract
9 x=-5
x=-5/9
An in-ground swimming pool is meters long, meters wide, and meters deep. The water-resistant paint needed for the pool costs $ per square meter. Step by step.
1. How many sides of the pool do you have to paint?
2. How much paint (in square meters) do you need to paint the pool?
3. How much will it cost to paint the pool?
4. How much water will the pool hold?
Answer:
Step-by-step explanation:
I'm going to assume you meant to put numbers in the question, but I will answer in terms of x, y, and z, for length, width, and depth, respectively.
1. You need to pain 4 walls as well as the floor, so 5 surfaces total.
2. This question is asking for the surface area of the pool. There is 1 floor, 2 long walls and 2 wide walls.
Surface Area = 2 (wide) + 2 (long) + 1 (floor)
= 2(x*z) + 2(y*z) + 1(x*y)
*remember to answer in meters squared*
3. Total Cost = (surface area) * (cost per square meter)
*remember this is in dollars*
4. This question is asking about the volume of the pool:
Volume = x*y*z
what is the answer to:
16^3/2
In my view the answer is 2,048
I am not sure about this answer..so if it is mistake then sorry
Answer:
[tex]16^\frac{3}{2} = 64[/tex]
Step-by-step explanation:
[tex]16^\frac{3}{2}[/tex]
Factor the number: [tex]16 = 4^2[/tex]
[tex]= (4^2)^{\frac{3}{2} }[/tex]
Apply exponent rule: [tex](a^b)^c=a^b^c[/tex]
[tex]\left(4^2\right)^{\frac{3}{2}}=4^{2\cdot \frac{3}{2}}=4^3[/tex]
[tex]= 4^3[/tex]
Refine:
[tex]=64[/tex]
Hope I helped, may I get brainliest and a thanks?
Thank you, have a good day! =)
:
Felix has a bag of 6 yellow marbles and 6 green marbles. He picks a marble and then puts it back 26 times. The results are shown in the table.
Outcome Tally
Yellow 15
Green 11
What is the percent error of pulling a yellow marble in Felix’s experiment?
A
13.3%
B
23.1%
C
42.3%
D
57.7%
Answer:
D
Step-by-step explanation:
yellow was picked more times then green so the percent would be more then 50.
Please tell me the answer quick
Answer:
25
Step-by-step explanation:
Answer:
25
Step-by-step explanation:
Suppose f(x) = x2. What is the graph of g(x)= 1/3f(x)
Answer:
Step-by-step explanation:
The graph of f(x) = x^2 is a parabola opening up and with vertex at (0, 0).
The graph of (1/3)f(x) is also a parabola that opens up and has vertex at (0, 0), but this new graph has been vertically compressed by a factor of 3.
The graph of g(x) = 1/3 f(x) is parabola. (as shown in the following image.)
What is the graph of a function?"The graph of a function f is the set of all points in the plane of the form (x, f(x))."
For given example,
f(x) = x²
The graph of a function f(x) would be a parabola with vertex at origin (0, 0).
And g(x) = 1/3 f(x)
⇒ g(x) = 1/3 (x²)
We know, the greater the quadratic coefficient, the narrower the parabola and the lesser the quadratic coefficient, the wider the parabola.
Since for a parabola g(x) the quadratic coefficient is 1/3.
This means the parabola g(x) is wider than the parabola f(x)
So, the graph of g(x) is the graph of f(x) scaled by 1/3 units.
The graph of g(x) is parabola (as shown in following figure)
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Which of the following is a correct step for constructing a median of triangle LMN? Bisect side LN. Construct a line perpendicular to LN through vertex M. Bisect the angle at vertex M. Extend the angle bisector to intersect side LN. Bisect side LN. Construct a line segment through vertex M and the midpoint of side LN. Bisect side LN and side MN. Construct a line segment connecting the two midpoints. plzzz help
Answer:
C: Bisect side LN. Construct a line segment through vertex M and the midpoint of side LN.
Step-by-step explanation:
Just took assignment.
Answer:
C
Step-by-step explanation:
c
please help and get it right its worth 25 points pleaseee dont get it wrong! Thank you
Answer:
option one :)
20 characters blah blah blah
answer 1 is correct
Step-by-step explanation: hope this helps
Use conversions to solve the problem. Yesenia buys juice to make punch for all her friends. She buys 1 quart of juice and one eighth gallon of juice. How many cups of juice does she buy?
Answer:
The cups of juice that Yesenia buys are:
6 cups.Step-by-step explanation:
To solve this, you need to know the conversión below:
1 gallon = 16 cups.Now the paragraph mentions that Yesenia buys 1 quart of juice (that refers to a quart of gallon), then, having the conversion above we can operate with a rule of three:
1 gallon = 16 cups1/4 gallon = XSolving this we have:
(1/4 * 16)/1 = 4 cupsIn the first purchase, Yesenia actually buys 4 cups (that is the same to 1 quart of gallon), next she buys one eighth, then we operate again with the first conversion but using this new quantity:
1 gallon = 16 cups1/8 gallon = XSolving this we have:
(1/8 * 16)/1 = 2 cupsBy last, we add every purchase:
Number cups of juice purchased by Yesenia = 4 cups + 2 cups = 6 cups.
