based off of the graph which of the following statements are true. select all that apply
Answers
The correct options are A, D, and G.
Correct statements about the graph are:
A. It has a minimum.
D. Vertex at (-1, -9).
G. Y-intercept at (0, -8).
To determine the truth of the statements given about the graph, we will analyze the graph step by step:
1. **Identify the Vertex**: The vertex of a parabola is the highest or lowest point of the graph, depending on whether it opens upwards or downwards. This graph opens upwards, so the vertex will be the minimum point.
2. **Find the Vertex**: We need to locate the vertex on the graph by looking for the point where the graph changes direction.
3. **Check for Maximum or Minimum**: Since this parabola opens upwards, it will have a minimum point but not a maximum.
4. **Determine the Zeros**: Zeros are the points where the graph crosses the x-axis. These are also known as the roots or solutions of the quadratic function when set to zero.
5. **Locate the Y-Intercept**: The y-intercept is the point where the graph crosses the y-axis.
6. **Examine the Solutions**: The solutions of the quadratic function are the x-coordinates of the zeros of the function.
7. **Assess the Y-Intercept**: We will find the y-coordinate of the point where the graph intersects the y-axis.
Now, let's examine the graph based on these steps:
A. **The graph has a minimum** - True. The parabola opens upwards, which means it has a minimum point where the vertex is located.
B. **The graph has a maximum** - False. Since the graph opens upwards, it does not have a maximum point; the vertex represents a minimum.
C. **The graph has zeros of -4 and 2** - False. The zeros of the graph (where it crosses the x-axis) appear to be different from -4 and 2, as the graph does not touch the x-axis at these points.
D. **The vertex is located at (-1,-9)** - True. By looking at the graph, it appears that the vertex, which is the minimum point, is indeed at the point (-1,-9).
E. **The graph has y-intercepts at (-4,0) and (2,0)** - False. A graph can only have one y-intercept, which is where it crosses the y-axis. The points given are actually x-intercepts or zeros of the function.
F. **The solution of the quadratic function represented by the graph is (-1,-9)** - False. The solution to a quadratic function is typically the x-values where the function crosses the x-axis (the zeros). The vertex is not the solution to the function; it is simply the minimum or maximum point.
G. **The y-intercept of the graph is (0,-8)** - True. The y-intercept is where the graph crosses the y-axis, which appears to be at (0,-8) according to the graph.
Hence, the correct statements are A, D, and G. The graph has a minimum at the vertex (-1, -9) and a y-intercept at (0, -8). It does not have a maximum, and the zeros are not at -4 and 2 as stated in option C. The solutions to the quadratic function would be the x-values of the zeros, not the vertex coordinates.
The complete question is here:
Which of the following statements are true about the graph? Check all that apply.
(GRAPH IS GIVEN BELOW)
A. The graph has a minimum.
B. The graph has a maximum.
C. The graph has zeros of -4 and 2 .
D. The vertex is located at (-1,-9).
E. The graph has y-intercepts at (-4,0) and (2,0).
F. The solution of the quadratic function represented by the graph is (-1,-9).
G. They-intercept of the graph is (0,-8).
The statements that are true from the graph are:
A. The graph has a minimum. D. The vertex is located at (-1,-9). G. The y-intercept of the graph is (0,-8).Why are the statements true ?
There is a vertex on the graph, which implies that there is either a minimum or maximum point. In this case, since the vertex is shown, it indicates a minimum point on the graph.
The vertex of a quadratic function in the form y = ax ² + bx + c is given by the coordinates (-b / 2a, f(-b/2a)), where a, b, and c are coefficients of the quadratic equation.
The y-intercept is the point where the graph crosses the y-axis, and it occurs when x = 0. This is shown to be the point ( 0, - 8 ).
The full question is:
Based off of the graph which of the following statements are true. select all that apply
A. The graph has a minimum.
B. The graph has a maximum.
C. The graph has zeros of -4 and 2 .
D. The vertex is located at (-1,-9).
E. The graph has y-intercepts at (-4,0) and (2,0).
F. The solution of the quadratic function represented by the graph is (-1,-9).
G. They-intercept of the graph is (0,-8).
Related Questions
How to solve a multiplication problem with a variable?
Answers
Example Question: 6x + 4 = 22
The goal in this is to get the variable alone and these are the steps how to. What you have to do is subtract 4 from 4 so that you can get 6x alone. But when you subtract 4 from one side, you have to subtract 4 from the other side too which leaves us with 6x = 18. Now, we have to do the opposite of multiplication which is division. So we are going to do 6x divided by 6 and the two sixes cancel each other out. But remember, if you do something to one side you have to do it to the other as well. So we have to do 18/6 which leaves us with the answer.
x = 3
In a soccer league the ratio of boys to girls is 4 to 6, there are a total of 50 players in the soccer league how many girls play in the soccer league
Answers
so there are 30 girls in the soccer league.
Answer:
Number of girls = (6 / 10)* 50 = 6*5 = 30
so there are 30 girls in the soccer league.
Step-by-step explanation:
: In order to solve the inequality -1/4 x > 8, which of the following steps must be done?
1.divide by -4 and keep the inequality symbol
2.divide by -4 and flip the inequality symbol
3.multiply by -4 and keep the inequality symbol
4.multiply by -4 and flip the inequality symbol
Answers
Here are the steps to solve the whole equation of -1/4x > 8:
simplify the fraction to x/4
multiply both sides by 4
multiply 8 * 4 so it can be 32
then lastly multiply both sides by -1
Answer: x < -32
Multiply by -4 and flip the inequality symbol. The correct option is D.
What is inequality?When two expressions are connected by a sign like "not equal to," "greater than," or "less than," it is said to be inequitable. The inequality shows the greater than and less than relation between variables and the numbers.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Here are the steps to solve the whole equation of -1/4x > 8:
Simplify the fraction to x/4
Multiply both sides by 4
Multiply 8 x 4 so it can be 32
Multiply both sides by -1
The value of x is less than -32.
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Find the unit price of ketchup c, which sells for $2.49 per 36 oz. bottle
Answers
total cost/number of oz
2.49/36
0.069
Rounding to the nearest cent:
$0.07
Hope this helps!
Evaluate 4x3 + 2 for x = -1.
-62
-10
-6
-2
Answers
replace x with -1
4(-1)^3 +2 =
4*-1 +2
= -4 +2 = -2
answer is -2
Marta believes that the equation of the line of best fit for the scatterplot below is y=-5/9x+23/9. Which statement best summarizes why Marta is likely incorrect?
Marta’s equation has a positive y-intercept, but the scatterplot suggests a negative y-intercept.
Marta’s equation has a positive y-intercept, but the scatterplot shows a negative correlation.
Marta’s equation has a negative slope, but the scatterplot suggests a negative y-intercept.
Marta’s equation has a negative slope, but the scatterplot shows a positive correlation.
Answers
The correct option is a.
Marta is likely incorrect because her equation has a positive y-intercept, but the scatterplot suggests a negative y-intercept.
Explanation:Marta is likely incorrect because her equation has a positive y-intercept, but the scatterplot suggests a negative y-intercept. The y-intercept is the value of y when x equals zero, so if the scatterplot shows a negative y-intercept, it means that when x is zero, y is negative. However, Marta's equation predicts a positive y value when x is zero, which contradicts the scatterplot.
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A vendor sells hot dogs and bags of potato chips. a customer buys 2 hot dogs and 2 bags of potato chips for $6.50. another customer buys 5 hot dogs and 3 bags of potato chips for $14.25. find the cost of each item.
Answers
2x+2y=6.50 = 6x+6y=19.5
5x+3y=14.25 = -10x-6y=-28.5
Hotdogs = 2.25
Potato chips = 1
The expression log 3 (x-4) is undefined for all values such that
Answers
remember that [tex]log_a(b)=c[/tex] translates to [tex]a^c=b[/tex]
so we can say it equals y
so
[tex]log_3(x-4)=y[/tex] translates to [tex]3^y=x-4[/tex]
we want to find the values of x that make it undefined
well, we know that [tex]3^y[/tex] must be greater than 0
so we do
it is defined for
x-4>0
add 4
x>4
it is defined for all values such that x>4
A cube with a volume of 64 cubic meters is scaled by a factor of .5 what is the volume of the modified cube in cubic meters/7472968/c841b5e8?utm_source=registration
Answers
Answer:
8000 is correct answer
Step-by-step explanation:
BRAINLIEST!!!!!!!!!!!!!!!!!!!!!!Am I correct?
Answers
ASA = Angle Side Angle so you need a pair of triangles that give you 2 angles and 1 side
the correct answer would be B
A company designs a box to package their product. The material used costs $0.112 per square foot. The box consists of a square bottom and isosceles triangles making up the sides. A net of the box is shown below.
How much would the material for 10,000 boxes cost?
Answers
=198
198+9*9
198+81
=279 inches
279 inche= 23.25square foot
23.25*0.112*10,000
=26040
Square Area = 81 square inches
Triangle Base = 9 inches
(1/2) Triangle Base = 4.5 inches
Triangle Height^2 = 11^2 -4.5^2
Triangle Height^2 = 121 -20.25
Triangle Height^2 = 100.75
Triangle Height = 10.0374299499
Triangle Area = 10.0374299499 * 4.5
Triangle Area (rounded) = 45.17 square inches
Area of 4 triangles = 180.673739099 square inches
PLUS Area of the Square = 81 square inches
Total Area = 261.67 square inches
144 square inches = 1 square foot
Total Area = 1.8171527778 square feet
Cost of 10,000 = .112 * 10,000 * 1.817153
Cost of 10,000 = $2,035.21
The measure of an angle is 79°. what is the measure of a supplementary angle?
Answers
Hence, the supplement angle is [tex]101[/tex] degree.
What are the angles?
Angles are an integral facet in the study of mathematics, particularly geometry. Angles are formed by two rays (or lines) that begin at the same point or share the same endpoint.
The point at which the two rays meet (intersect) is called the vertex.
Here given that,
The measure of an angle is [tex]79[/tex] degree.
Let the supplement angle is [tex]x[/tex]
As we know that the supplement of an angle is [tex]180-x[/tex].
[tex]180-x=180-79[/tex]
[tex]=101[/tex] degree.
Hence, the supplement angle is [tex]101[/tex] degree.
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Final answer:
The measure of a supplementary angle to one that measures 79° is 101°, since supplementary angles sum up to 180°.
Explanation:
If the measure of an angle is 79°, the measure of a supplementary angle can be found by subtracting this angle from the total degrees in a straight line. In other words, the sum of the measures of supplementary angles is 180°. Therefore, to find the measure of a supplementary angle when one angle measures 79°, we perform the following calculation:
180° - 79° = 101°
So, the measure of the supplementary angle is 101°.
What is the area of a parallelogram whose vertices are A(−1, 12) , B(13, 12) , C(2, −5) , and D(−12, −5) ?
Answers
you can pretty much count the units for the base and height off the grid.
Answer:
238
Step-by-step explanation:
How many quarters have the same value as 85 dimes?
Answers
one dime is 10¢
10 x 85 = 850¢
so 850/25 = 34 quarters
Can an octagon have angles that measure 140, 120, 50, 95, 105, 100, 80 and 150
Answers
Hope this helps!!
Given points A(1, 3) and B (3, 7), which of the following represents the distance of AB
√116
√6
√14
√20
Answers
Hopes that helps
A box contains only red yellow and green jelly beans. The number of red jelly beans 4/5 of the number of green jelly beans 3/4 the number of yellow ones. If there are 470 beans in total, what's the probability of picking yellow?
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I’m Still stuck someone help ?!
Answers
angle y = arcos(2.25/6)
= 67.97 degrees
round to 68 degrees
68 is less than 75 so it is not safe to use
PLEASE ANSWER QUICK
Your local shoe store anticipated giving away 2,500 pairs of shoes in one month, but they only sold 2,215 pairs of shoes. What was the approximate percent error? Show your work to find the percent error. (2 points)
Answers
Find a Point-Slope equation for a line containing the given point and having the given slope. 1. (-4, 3), m = -12 2. (-15, 6), m = -3 3. (5, -2), m = -7 4. (3, -5), m = -2 5. (6, -2), m = -5 6. (-5, -2), m = -4 7. (7, 0), m = -3 8. (0, 9), m = -5 9. (5, 1), m = -10
Answers
[tex]y-y_{1}=m(x-x_{1})[/tex]
1) y - 3 = -12(x +4)
2) y - 6 = -3(x + 15)
3) y + 2 = -7(x - 5)
4) y + 5 = -2(x - 3)
5) y + 2 = -5(x - 6)
6) y + 2 = -4(x + 5)
7) y - 0 = -3(x - 7)
8) y - 9 = -5(x - 0)
9) y - 1 = -10(x - 5)
Leo is roller-blading at a speed of 200 meters per minute. How long will it take him to roller-blade 1 km?
Answers
If it takes Leo a minute to roller blade 200 meters,
1000/200 => 5
5x1 minute= 5 minutes
It would take Leo 5 minutes to rollerblade 1 kilometer.
Hope I helped :)
Answer:
5 min
Step-by-step explanation:
How many subsets of exactly two elements does a set of five elements have?
A.10
B.26
C.7
D.32
Answers
Option: A is the correct answer.
A. 10
Step-by-step explanation:We know that the number of subsets of exactly ''r'' elements that is formed by the help of n elements is calculated by:
[tex]n_C_r[/tex]
Since here we have to chose 2 elements out of the 5 elements in order to form a subset.
Hence, we have: n=5 and r=2
Hence, the number of subsets are:
[tex]5_C_2=\dfrac{5!}{2!\times (5-2)!}\\\\\\5_C_2=\dfrac{5!}{3!\times 2!}\\\\\\5_C_2=10[/tex]
Hence, the number of subsets are:
10
Answer:
A. 10
Step-by-step explanation:
which number line represents the solutions to |x+4|=2
Answers
Chloe draws three parallelograms. In each figure, she measures a pair of angles, as shown.
What is a reasonable conjecture for Chloe to make by recognizing a pattern and using inductive reasoning?
In a parallelogram, all angles are supplementary.
In a parallelogram, consecutive angles are supplementary.
In a parallelogram, consecutive angles are congruent.
In a parallelogram, all angles are congruent
Three parallelograms. The angles of the first parallelogram are 35 degrees and 145 degrees. The angles of the second parallelogram are 38 degrees and 142 degrees. The angles of the third parallelogram are 51 degrees and 129 degrees.
Answers
B) In a parallelogram, consecutive angles are supplementary.
Rosa brought d drawings to an art show. After selling 15 of them she had 38 left. Identify the equation that situation and the correct solution
Answers
d = 43
Answer:
The equation that identify the situation is:
d= x + y
d= 15+38
d= 53
She brought 53 drawings.
Step-by-step explanation:
We know that Rosa brought d numbers of drawings to an art show.
She sold 15 of them and she had 38 left.
The number d of drawings that she brought to an art show is:
d= x + y
Where:
d: number of drawings she brought
x: number of drawing she sold
y: number of drawings she had left
d= 15+38
d= 53
She brought 53 drawings.
Almira earns $50 an hour. How much does she earn in 6 hours? What’s the independent and dependent variables?
Answers
ur independent variable is x....the number of hrs worked
ur dependent variable is y...the total money that she earns
how much does she earn in 6 hrs...
y = 50x
y = 50(6)
y = 300 <== she earns $ 300 in 6 hrs
Independent: amount she gets paid
Dependent: amount of hours she works
On this plzzzzz need help
Answers
hope it helps
brainliest
Can you add a whole number to a number with a variable
Answers
Examples :
1 + 2v....cannot add or subtract because they are not like terms
2v + 4v = 6v...u can if they have exactly the same variable
3x^2 + 2x...cant
x^2 + 4x^2...can...= 5x^2
3 + 3 ....can
2 + 5x...cant
now u can multiply and divide one...u just cant add or subtract them
Find the number of ways 4 members from a family of 5 can line up for a photo shoot?
Answers
Final answer:
There are 120 different ways for 4 members out of a family of 5 to line up for a photo shoot. This is calculated using permutations, where the order of members matters, and is found by the formula 5! / (5-4)!.
Explanation:
To find the number of ways 4 members from a family of 5 can line up for a photo shoot, we use the concept of permutations since the order of arrangement matters.
In mathematics, the number of permutations for selecting r objects from a set of n objects is given by nPr, which is calculated as n! (n factorial) divided by (n-r)! (the factorial of the difference between n and r).
In this case, we want to arrange 4 out of 5 family members, so n = 5 and r = 4. The permutation formula gives us:
5P4 = 5! / (5-4)! = (5 × 4 × 3 × 2 × 1) / 1 = 120 ways.
Therefore, there are 120 different ways for 4 members out of a family of 5 to line up for a photo shoot.
please help quick im offering 10pts and brainliest answer
Answers
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Angle PJK and Angle DJB are vertical angles. They are formed when you cross PD and KB. They are opposite one another. Vertical angles are congruent, so,
(angle PJK) = (angle DJB)
3x-40 = 2x-10
3x-40-2x = 2x-10-2x ... subtract 2x from both sides
x-40 = -10
x-40+40 = -10+40 .... add 40 to both sides
x = 30
Side Note:
if x = 30, then angle PJK is...
angle PJK = 3x-40
angle PJK = 3*x-40
angle PJK = 3*30-40
angle PJK = 90-40
angle PJK = 50 degrees
which is also the measure of angle DJB