Answer:
y=−3
Step-by-step explanation:
(5 pts) A quadratic function f is given by f(x) = ax2 + bx + c where a is not 0. Select all
the statements that must be true about the graph of f.
a.
The y-intercept of the graph is at (0,c).
b.
The graph has an x-intercept at (c,0).
C.
When a < 0 the graph is open downward.
d.
The graph has two x-intercepts.
e.
If b = 0, then the vertex is on the y-axis.
Answers:
a) True. Plug in x = 0 and it leads to y = c. Therefore, the point (0,c) is on the parabola.b) False. Plug in y = 0 and apply the quadratic formula. One x intercept may sometimes be x = c, but it could easily be other values as well. Or perhaps you may not get any real number solutions at all. See part d) below.c) True. If a < 0, then the leading coefficient is negative. Overall, both endpoints will tend toward negative infinity to produce a parabola that opens downward.d) False. The quadratic may have one x intercept or it may not have any x intercepts at all. It depends on what the discriminant d = b^2 - 4ac is equal to. If d < 0, then we have no x intercepts. If d = 0, then we have exactly 1 x intercept. If d > 0, then we have two different x intercepts.e) True. The vertex's x coordinate is -b/(2a). If b = 0, then the x coordinate of the vertex is 0. The vertical line x = 0 is directly on top of the y axis.If the value of a is less than zero then the parabola is open downward. Then the correct option is C.
What is a quadratic equation?It is a polynomial that is equal to zero. Polynomial of variable power 2, 1, and 0 terms are there. Any equation having one term in which the power of the variable is a maximum of 2 then it is called a quadratic equation.
A quadratic function f is given by f(x) = ax2 + bx + c where a is not 0.
a. The y-intercept of the graph is at (0,c). This is incorrect.
b. The graph has an x-intercept at (c,0). This is incorrect.
c. When a < 0 the graph is open downward. This is correct.
d. The graph has two x-intercepts. This is incorrect.
e. If b = 0, then the vertex is on the y-axis. This is incorrect.
More about the quadratic equation link is given below.
https://brainly.com/question/2263981
A football team scored 3 touchdowns, 3 extra points, and 4 field goals. Write an expression to represent the total points the football team scored. Use t to represent the number of points for a touchdown Use e to represent the number of points for the extra point Use f to represent the number of points for a field goal Write the equation using the "WIRIS editor" button
Answer:
The answer is below
Step-by-step explanation:
A football team scored 3 touchdowns, 3 extra points, and 4 field goals.
a. Write an expression to represent the total points the football team scored.
b. Write another expression that is equivalent to the one written above.
c. If each touchdown is worth 6 points, each extra point is 1 point, and each field goal is 3 points, how many total points did the team score?
Solution:
a) Let t represent the number of points for a touchdown, e represent the number of points for the extra point and f represent the number of points for a field goal.
Total points = 3(t) + 3(e) + 4(f) = 3t + 3e + 4f
b) Total points = 3t + 3e + 4f OR
Total points = t + t + t + e + e + e + f + f + f + f OR
Total points = 3(t + e) + 4f
c) Total points = 3(t + e) + 4f = 3(6 + 1) + 4(3) = 3(7) + 4(3)
Total points = 21 + 12 = 33 points
The sum of the points the team has from different point gaining options
give the total number of points the team scores.
[tex]\underline{\mathrm{The \ total \ points \ the \ football \ team \ scored } = 3 \cdot t + 3 \cdot e + 4 \cdot f}[/tex]Reasons:
The number of touchdowns by the football team, t = 3
Number of extra points by the football team, e = 3
Number of field goals by the team, f = 4
Therefor, the total number of points, P = 3·t + 3·e +4.f
The specified editor is an equation editor, which can be used to write mathematical equations.
Using an equation editor, we have;
[tex]\mathrm{The \ total \ points \ the \ football \ team \ scored } = 3 \cdot t + 3 \cdot e + 4 \cdot f[/tex]
Learn more about equations here:
https://brainly.com/question/472337
Help me please! I’m begging
The ratio of the number of adults to the number of children at the resturant is 3:7. Identify the choices below that represent an equivalent ratio. Choices: A: 6:14 B: 8:12 C: 15:35 D: 21:9 E: 30:70
Answer: A: 6:14
C: 15:35
E: 30:70
Step-by-step explanation:
From the question, we are given that the ratio of the number of adults to the number of children at the resturant is 3:7.
The choices below that represent an equivalent ratio goes thus:
A: 6:14
This can be represented as: 6/14. The common factor is 2 and we reduce to lowest term which would be: = 3/7 = 3:7
This is an equivalent ratio.
B: 8:12
This can be represented as: 8/12. The common factor is 4 and we reduce to lowest term which would be: = 2/3 = 2:3
This is not an equivalent ratio.
C: 15:35
This can be represented as: 15/35. The common factor is 5 and we reduce to lowest term which would be: = 3/7 = 3:7
This is an equivalent ratio.
D: 21:9
This can be represented as: 21/9. The common factor is 3 and we reduce to lowest term which would be: = 7/3 = 7:3
This is not an equivalent ratio.
E: 30:70
This can be represented as: 30/70. The common factor is 10 and we reduce to lowest term which would be: = 3/7 = 3:7
This is an equivalent ratio.
The correct options are A, C,and E.
Tamika makes a 4% commission selling electronics. How much commission does she make if she sells a flat-screen TV for $8,000?
A.) $7,680
B.) $2,000
C.) $32,000
D.) $320
Answer:
D.) $320
Step-by-step explanation:
4% of 8,000
so
0.04 x 8,000
= 320
Are these two claims equivalent, in conflict, or not comparable because they’re talking about different things?
a. “We mark up the wholesale price by 33% to come up with the retail price”
b. “The store has a 25% profit margin”
Note: Profit margin = (Retail price - Wholesale price)/(Retail price)
Answer:
statement 'a' and 'b' are comparing two different things
Step-by-step explanation:
statement 'a' is referring to arriving at a selling price for at least one product
but, assuming the store sells more than one product then there is no correlation to the profit margin of the store as a whole
Pls help it due today
Answer:
B
Step-by-step explanation:
Answer: Choice C. y = (-1/2)x+7
=========================================================
Explanation:
The slope of the graphed line is -1/2 because we drop down 1 unit on the y axis each time we move to the right 2 units along the x axis. We could apply the slope formula for any two points on the diagonal line to also get a slope of -1/2.
The slope formula is m = (y2-y1)/(x2-x1).
Any two parallel lines have the same slope, but different y intercepts. So the parallel line will also have slope -1/2. Right away we can see the answer must be choice C. This is the only equation with slope -1/2 of the choices given.
Recall that slope intercept form y = mx+b has m as the slope. Not to be confused with the label m of the graphed line.
Note how plugging x = 6 into the equation for choice C leads to...
y = (-1/2)*x + 7
y = (-1/2)*6 + 7
y = -3 + 7
y = 4
Showing that (x,y) = (6,4) is on the equation y = (-1/2)x + 7. This confirms the answer.
---------------------------
Let's say we didn't have multiple choice answers to pick from, and instead it was fill in the blank. To find the y intercept b, we can do the following
y = mx+b
y = (-1/2)x + b ... plug in given slope m = -1/2
4 = (-1/2)*6 + b .... plug in the given point (x,y) = (6,4)
4 = -3 + b
4+3 = -3+b+3 ... adding 3 to both sides
7 = b
b = 7
Knowing that m = -1/2 and b = 7, we can update y = mx+b into y = (-1/2)x+7
what is the equation of a line that passes throught the points (-4, 2) and (-8, -3)
Answer:
y=5/4x+9/2
Step-by-step explanation:
Slope: 2+3/-4+8
=5/4
y-2=5/4(x+2)
y-2=5/4x+5/2 <------because 5/4*2=10/4
y=5/4x+9/2
Hinata is an atlethe.She swims every 6 days and runs every 4 days. If she does two activities today, how many days will she do the two activities again the same day, what is the LCM AND GCF
Answer:
87
Step-by-step explanation:
Pl help is for homwork
Answer:
Sabrina bought 3 pounds of bananas.
Step-by-step explanation:
Given equations are:
a + b = 8 Eqn 1
0.95a + 1.10b = 8.05 Eqn 2
As we have to find the number of pounds of bananas bought, we will eliminate the variable a from the equation.
Multiplying Eqn 1 by 0.95
0.95(a+b=8)
0.95a+0.95b=7.60 Eqn 3
Subtracting Eqn 3 from Eqn 2
(0.95a+1.10b)-(0.95a+0.95b)=8.05-7.60
0.95a+1.10b-0.95a-0.95b=0.45
0.15b = 0.45
Dividing both sides by 0.15
[tex]\frac{0.15b}{0.15}=\frac{0.45}{0.15}\\b = 3[/tex]
Hence,
Sabrina bought 3 pounds of bananas.
Find the product.
28.5 x 7
A. 198.5
B. 199
C. 199.5
D. 200
Answer:
199.5
Step-by-step explanation:
i know because I added it up
10. Pandora music cost $109.65 a year.
Popular songs on iTunes cost $1.29 for
the purchase of each song. How many
songs purchased on iTunes would it take
to equal the cost of two years of Pandora
music.
Answer:
170 songs
Step-by-step explanation:
109.65 x 2= 219.30
219.30/1.29=170
Please help it’s due in a few minutes
Answer:
135
Step-by-step explanation:
Answer:
The answer is D.
Step-by-step explanation:
I found this out because it is bigger then a 90 degree angle so tat takes out A. and B. because they are smaller then a 90 degree angle so that leaves D. because "RUP" is bigger then a 90 degree angle.
According to an advertisement for Colgate toothpaste, 4 out of 20 Dentist prefer Colgate. There are 150 Dentist in a certain city. Predict how many of them prefer Colgate.
100 Points to the first person who answers! and the Brainliest
Answer:
According to an advertisement for Colgate toothpaste, 4 out of 20 Dentist prefer Colgate. There are 150 Dentist in a certain city.
Let the number of dentists prefer Colgate in the city be x
[tex] \frac{4}{20} = \frac{x}{150} \\ x = \frac{4 \times 150}{20} \\ \boxed{x = 30}[/tex]
30 dentists prefer Colgate. will give brainliest please help!!
Simplify the expression x-3x-(-5x).
Answer:
D. 3x.
Step-by-step explanation:
Let's do a little bit of simplifying.
First, distribute that minus sign outside of the parentheses.
x - 3x + 5x
Then simplify further.
-2x + 5x
More.
3x
Write the coordinates of the vertices after a dilation with a scale factor of 1/5, centered at the origin.
Answer:
The coordinates of the vertices after the dilation by a scale factor 1/5 centered at the origin will be:
U'(-1, -2)V'(0, -2)W'(-1, 2)Step-by-step explanation:
We know that when an object is dilated by a scale factor, it gets reduced, stretched, or remains the same, depending upon the value of the scale factor.
If the scale factor > 1, the image is enlarged
If the scale factor is between 0 and 1, it gets shrunk
If the scale factor = 1, the object and the image are congruent
Rule to calculate the dilation by a scale factor 1/5 centered at the origin
P(x, y) → P'(1/5x, 1/5y)
Here, P'(1/5, 1/5y) is the image of P(x, y).
Given the vertices of the triangle UVW
U (-5, -10)
V (0, -10)
W (-5, 10)
so
Rule to calculate the dilation by a scale factor 1/5 centered at the origin
P(x, y) → P'(1/5x, 1/5y)
U (-5, -10) → U'(1/5(-5), 1/5(-10)) → U'(-1, -2)
V (0, -10) → V'(1/5(0), 1/5(-10)) → V'(0, -2)
W (-5, 10) → W'(1/5(-5), 1/5(10)) → W'(-1, 2)
Therefore, the coordinates of the vertices after the dilation by a scale factor 1/5 centered at the origin will be:
U'(-1, -2)V'(0, -2)W'(-1, 2)(6,-1) (0,3) write an equation
Help pls 6th grade math i will give brainliest
Answer:
b
Step-by-step explanation:
Given a population mean of 53.7 with a standard deviation of 1.3 and a sample size
of 6, answer these questions:
Part A: What is the standard deviation of the sampling distribution of X? Show your
work. (5 points)
Part B: What does the sample size need to be if you want the standard deviation of
the sampling distribution of x to be 0.325? Show your work. (5 points) (10 points)
Answer: A. 0.4899 B. 14
Step-by-step explanation:
If X = random variable
then, the standard deviation of the sampling distribution of X = [tex]\dfrac{\sigma}{\sqrt{n}}[/tex]
A.
GIven: [tex]\sigma= 1.2, \n= 6[/tex]
The standard deviation of the sampling distribution of X = [tex]\dfrac{1.2}{\sqrt{6}}=0.4899[/tex]
B. Let n be the sample size,
[tex]0.325=\dfrac{1.2}{\sqrt{n}}\\\\\Rightarrow\ \sqrt{n}=\dfrac{1.2}{0.325}\\\\\Rightarrow\ \sqrt{n}=3.69230769231\\\\\Rightarrow\ n= (3.69230769231)^2=13.6331360947\approx 14[/tex]
Hence, the required sample size = 14
Please help!!!!!!!!!!!!!!!!
Answer:
m<G
Step-by-step explanation:
They are the same angle, hence they are congruent by the reflexive property. Moreover, they are both a part of the triangles; GHL and GJK, and therefore prove similarity.
Please answer correctly !!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!
Answer:
The answer is x = 12.
Step-by-step explanation:
We can solve this using proportion.
[tex] \frac{x}{2} = \frac{66}{12 } \\ \\ \frac{132}{12} = \frac{12x}{12} \\ \\ x = 11[/tex]
(3y + 6) + (4y +5)=?
Answer:
7y+11
Step-by-step explanation:
(3y + 6) + (4y +5)=?
Combine like terms
3y+4y + 6+5
7y+11
Answer:
7y +11
Step-by-step explanation:
Because you can't add the numbers with the letters
Drag the tiles to match the behavior of the graph of a function with the slope of its graph.
negative slope zero slope positive slope
Answer:
positive, negative, zero
Step-by-step explanation:
What is the measure of ABC?
A. 130
B. 85
C.40
D.170
Answer:
It would 85
Step-by-step explanation:
The easiest way to think about it is that the angle looks a little smaller than a right angle (90 degrees) therefore 85 degrees is correct.
Simplify the expression.
- 2.3f + 0.9f - 15-9
Answer:
-1.4f - 24
Step-by-step explanation:
First combine like terms
-2.3f + 0.9f - 15 - 9
-1.4f -24
So, simplified it is
-1.4f - 24
pedros check register showed a balance of $550.94. his bank statement listed 3 items that did not appear in his register: earned interest of $4.36, a service charge of $5.50, and an ATM withdrawal of $150. Reconcile pedro's check register.
Answer: $391.08 would be how much he really has in his register. I may be a little off though.
HELP PLS ILL MARK BRAINLIEST PLEASEEEEEEEEE
Answer:
I think its C
Step-by-step explanation:
I guessed
PLEASE HELP! WILL GIVE BRAINLIEST Evaluate 6r - 8.45s when r = 12 and s = 4
Answer:
Step-by-step explanation:
Putting values
6(12) - 8.45(4)
= 38.2
A company that offers tubing trips down a river rents tubes for a person to use and "cooler" tubes to carry food and water. A group spends $270 to rent a total of 15 tubes. Write a system of linear equations that represents this situation. Use $x$ to represent the number of one-person tubes rented and $y$ to represent the number of cooler tubes rented. How many of each type of tube does the group rent?
Answer:
the group rents is 11 person tubes and there is 4 cooler tubes
Step-by-step explanation:
The computation is shown below:
The equation are as follows:
x + y = 15
y = 15 - x
And, the cost of person tube is $20
The cost of the cooler tube is $12.50
The total spending is $270
Now the equation is
20x + 12.50y = 270
Now put the value of y in the above equation
20x + 12.50(15 - x) = 270
20x + 187.50 - 12.50x = 270
20x - 12.50x + 187.50 = 270
7.50x + 187.50 = 270
7.50x = 270 - 187.50
7.50x = 82.50
x= 11
Now put the value of y in any of the equation
y = 15 - 11
= 4
So, the group rents is 11 person tubes and there is 4 cooler tubes
Two car services offer to pick you up and take you to your destination. Service A charges 40 cents to pick you up and 30 cents for each mile of your trip. Service B charges $1.10 to pick you up and charges c cents for each mile.
A) Match the services to the lines l and m
B) For service B, is the additional charge per mile greater or less than 30 cents per mile of the trip? Explain your reasoning
Answer/Step-by-step explanation:
a.) Service A charges of 40 cents to pick you up is the initial value (y-intercept). Form the graph, the line that has a y-intercept of approximately 40 cents is line m.
Also, the initial value of line l is $1.10 from the graph, which is the pick up cost that Service B charges. Therefore,
Line m = Service A
Line l = Service B
b.) The additional charge of service B = the slope of line l. Let's calculate the slope to see if it's greater than or less than 30 cents per mile of the trip.
Using two points on line l, (0, 1.10) and (7, 2.5)
Slope = change in y/change in x = (2.5 - 1.10)/(7 - 0)
= 1.4/7 = 0.2
Additional charge per mile for service B is $0.2 = 20 cents.
Therefore we can conclude that the additional charge per mile for service B is less than 30 cents/mile of the trip.