Predict what the graph of the following quadratic function will look like. (If you have a graphing calculator, you can use it to verify your prediction.)
y = 0.3 x squared minus 5
a.
Upward facing parabola-shaped; y-intercept (5, 0); symmetrical with respect to the y-axis
b.
Downward facing parabola-shaped; y-intercept (0, -5); symmetrical with respect to the y-axis
c.
Upward facing parabola-shaped; y-intercept (0, -5); symmetrical with respect to the y-axis
d.
Downward facing parabola-shaped; y-intercept (5, 0); symmetrical with respect to the y-axis
Answers
Answer:
c. Upward facing parabola-shaped; y-intercept (0, -5); symmetrical with respect to the y-axis
Step-by-step explanation:
The positive leading coefficient tells you the graph opens upward. (Eliminates B and D)
The constant -5 tells you the y-intercept is -5. (Eliminates A, which shows an x-intercept, not a y-intercept.)
The function is a vertical translation and scaling of the parent function y=x². There is no translation left or right, so the axis of symmetry remains the y-axis.
__
The correct description is ...
opens upwardy-intercept (0, -5)axis of symmetry is the y-axis
Related Questions
Evaluate 20 x (32 – 4) : 50.
20 x (32 - 4) = 50 =
Answers
Answer:
[tex]20 \times ( {3}^{2} - 4) \div 50 \\ = 20 \times (9 - 4) \div 50 \\ = 20 \times 5 \div 50 \\ = 100 \div 50 \\ = 2[/tex]
correct answer will be 2the measure of an angle is 44 more than the measure of its supplement. Find the measure of the angle.
Answers
Please help with the bonus. I beg
Answers
Answer: (8x8=64) (64÷8=8) (8+7=15)
Step-by-step explanation:
. In a soccer league, each of the n participating teams plays every other team twice during the season. If in the next season the league increases the number of teams by two, then there would be 27.5% more matches played. Find
Answers
The number of teams and matches in the soccer league illustrates permutation and combination
There are 12 teams in the soccer league in the first season
How to determine the number of teamsThe number of teams in the soccer league is given as n.
So, the total number of matches played in a season is:
Matches = n(n-1)/2
When the number of teams increases by 2, we have:
Matches = (n + 2)(n + 2 -1)/2
Also, the number of matches increases by 27.5%.
So, we have:
Matches = n(n-1)/2 * (1 + 27.5%)
Equate both equations
[tex]\frac{(n + 2)(n + 2 -1)}{2} = \frac{n(n-1)}{2} * (1 + 27.5\%)[/tex]
Simplify
[tex]\frac{(n + 2)(n + 1)}{2} = \frac{n(n-1)}{2} * (1.275)[/tex]
Multiply through by 2
[tex](n + 2)(n + 1) = n(n-1) * (1.275)[/tex]
Expand
[tex]n^2 + 3n + 2 = 1.275n^2 - 1.275[/tex]
Collect like terms
[tex]n^2 -1.275n^2+ 3n + 2 +1.275 = 0[/tex]
Evaluate the like terms
[tex]-0.275n^2+ 3n + 3.275 = 0[/tex]
Using a graphing calculator, we have:
n = -1 or n = 11.909
n cannot be negative.
So, we have:
n = 11.909
Approximate
n = 12
Hence, there are 12 teams in the soccer league in the first season
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A cable 52.6 meters long is cut into two pieces so that one piece is 27.2 meters longer than the other. Find the length of each piece of cable.
Type the product of the lengths of the two pieces, rounded to the nearest tenth.
Answers
Answer:
Piece1: 12.7 meters
Piece2: 39.9 meters
Product of the two to nearest tenth: 506.7
Step-by-step explanation:
Piece1: x
Piece2: x + 27.2
x + x + 27.2 = 52.6
2x + 27.2 = 52.6
2x = 25.4
x = 12.7
Piece1: 12.7
Piece2: 12.7 + 27.2 = 39.9
Product of the two pieces:
12.7 * 39.9 = 506.73
Suppose a certain cell reproduces itself in four hours. If a lab researcher begins with 50 cells, how many cells will there be after one day, two days, and three days? (Hint: Use the exponential function y = 50(2x). )
Answers
By working with the exponential function, we will see that:
After 1 day there are 3,200 cells.After 2 days there are 204,800 cells.After 3 days there are 13,107,200 cells.How to find the population of the cell?We know that the population of the cell doubles every four hours, then we can write:
y = 50*(2)^x
Where x is time in lapses of 4 hours, and 50 is the initial population of the cell.
In one day, there are 6 groups of 4 hours, then after one day we have:
y = 50*(2)^6 = 3,200 cells.In two days, there are 12 groups of 4 hours, then after two days we have:
y = 50*(2)^12 = 204,800 cells.In 3 days, there are 18 groups of 4 hours, then after 3 days there are:
y = 50*(2)^18 = 13,107,200 cells.If you want to learn more about exponential functions, you can read:
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What is the image of the point (8,-6) after a rotation of 180° counterclockwise
about the origin?
Answers
Answer:
(-8,6)
Step-by-step explanation:
rotating 180 degrees: x and y coordinates change signs
After rotating the point(8, -6) 180 counterclockwise it will become (-8,6).
What are the coordinates of a point?A point's coordinates are a pair of integers that pinpoint where it is precisely on a two-dimensional plane. Remember that the x and y axes are two axes that are at right angles to one another and make up the coordinate plane. A particular point's coordinates show how far along each axis it is situated.
Given a point (8,-6) after rotating it counterclockwise 180°. A' is formed when our point A(x,y) rotates 180 degrees counterclockwise around the origin (-x,-y). As a consequence, we just make both x and y negative.
Therefore new coordinates of the point will be (-8,6). For better understanding, I am attaching two graphs.
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Which property is used in the problem below?
2(x+4) = 2x + 8
the associative property
the commutative property
the distributive property
the additive identity property
Answers
Answer:
Distributive Property
Step-by-step explanation:
2(x+4) = 2x + 8
2x + 2(4) = 2x + 8
2x + 8 = 2x + 8
Henceforth, distributive property
Answer: The Distributive Property
Step-by-step explanation:
give it to me an example for Primary and secondary Data Collection
Answers
Answer:
Primary data when the researcher collect the information like census by government . And secondary data means when like an entrepreneur take the census data from the government and collect more information .
What is 12(9+3) equaled to?
Answers
Answer: 144
Step-by-step explanation:
We know that we have to start with parenthesis first and complete that operation first. So 9+3=12. Now we are left with 12(12) which simply means 12 times 12 which is 144.
Please help!!!!!!!!!!! Picture below
Answers
1. 761/24
2. I don’t understand either u change it to an mix number or it’s already simplified.
Define the following:
=> Accuracy
=> Add Decimals
Answers
Answer:
accuracy- the quality of state of being correct or precise
add decimals- write the numbers in a column, and make sure that the decimal points are aligned.
Answer/Step-by-step explanation:
Refer to picture below:
I NEED HELP PLEASEEE
Answers
Answer:
the picture won't show up
Step-by-step explanation:
Round answer to 1 decimal place.
68.8888888...
Answers
Answer:
68.9
Step-by-step explanation:
When rounding to 1 decimal place look at the 2nd decimal. If it is 5 or larger than you round the 1st decimal up by 1, however if it is 4 or lower you leave it.
Gabriel is shipping a package of golf balls to his father for his birthday present. Each golf ball weighs 1.6 oz and the package he is shipping them in weighs 15 oz . The function f(x)=1.6x+15 represents this problem situation . In this function , what does the x represent
Answers
Answer:
x represents the number of golf balls in the packageStep-by-step explanation:
Given that the function is f(x)=1.6x+15,
we can see that the function corresponds to the equation of a straight line
that y=mx+c
now comparing this function with the equation of a straight line
f(x)=1.6x+15
y=mx+c
we can see that
x represents the number of golf balls in the package
15 is constant c which is the weight of the package used in the shipping
Match each set of points with the slope of the line formed by the ordered pairs.
(0,7) and (2,4)
slope = -2
(1,-3) and (-1,-3)
slope = -3/2
(-1,3) and (-1.-3)
OOOOO
slope = 1/2
(0,0) and (2,1)
zero slope
(0,-1) and (2.-5)
no slope
Answers
Answer:
heres your answer (this is my first time answering)
Step-by-step explanation:
(0,7) and (2,4)=-3/2
(1,-3) and (-1,-3)=zero
(-1,3) and (-1.-3)=No slope
(0,0) and (2,1)=1/2
(0,-1) and (2.-5)=-2
What is formula for slope?Slope of a line = (y₂-y₁)/(x₂-x₁)
The slope formula is (y₂-y₁)/(x₂-x₁)
For (0,7) and (2,4)
Slope=4-7/2=-3/2
For (1,-3) and (-1,-3)
Slope=-3+3/-2=zero
For (-1,3) and (-1.-3)
Slope=-3-3/-1+1=No slope
For (0,0) and (2,1)
Slope=1/2
For (0,-1) and (2.-5)
Slope=-5+1/2=-2
Hence we matched with respective slope to equations.
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a home improvement store in ohio had some great deals on garden supplies, if 81 customers visited the store in the morning and 5/9 of them picked up garden tools, how many customers bought garden tools
Answers
Answer:
45
Step-by-step explanation:
5/9 of 81 is ((81/9)*5), which is (9*5), which is 45. So 45 picked up the garden tools.
Select all of the following statements that are TRUE
Group of answer choices
-When you graph an inequality, the arrow always goes to the left.
-The equal sign bar under the inequality symbol means you user a closed circle.
-When you subtract a number on both sides of an inequality, you must flip the inequality sign.
-When you graph an inequality, you need to look at the inequality to determine if the arrow goes left or right.
-When you graph an inequality, the arrow always goes to the right.
-The equal sign bar under the inequality symbol means you user an open circle.
-When you divide by a negative number on both sides of an inequality, you must flip the inequality sign.
Answers
Answer:
True statements
The equal sign bar under the inequality symbol means you use a closed circle.When you graph an inequality, you need to look at the inequality to determine if the arrow goes left or right.When you divide by a negative number on both sides of an inequality, you must flip the inequality sign.Additional information
Closed circle: ≤ or ≥
Open circle: < or >
How do you find x????????!
Answers
===========================================================
Work Shown:
Let's make each of those unlabeled angles be angle y.
We have two copies of y, since the arcs are the same (meaning they are congruent angles) and 44 as well.
The three interior angles of any triangle add to 180
44+y+y = 180
2y+44 = 180
2y = 180-44 ... subtracting 44 from both sides
2y = 136
y = 136/2 ... divide both sides by 2
y = 68
Once we know y, we can find x
x+y = 180 ... since the adjacent angles form a straight line
x+68 = 180
x = 180-68 ... subtract 68 from both sides
x = 112
If you were solving a system of equations and you came to a statement like 1 = 3, what do you know about the solution to the system? (1 point) Selected:a. The solution is (1, 3)This answer is incorrect. b. The solution is x = 1 and y = 3 c. There is no solution d. There are infinitely many solutions
Answers
Answer:
There is no solution.
Step-by-step explanation:
1 ≠ 3
X squared -11 X +24 equals zero
Answers
Answer:
x=3, 8
Step-by-step explanation:
x²-11x+24=0 can be factored to
(x-3)(x-8)=0
3-3=0
8-8=0
So, x can be 3, 8
Which sum or difference is modeled by the algebra tiles?
A.(x^2 - 2x + 3) - (-x^2 - 4x - 2) = 2x-1
B.(x^2 - 2x - 3) + (x^2 - 4x + 2) = 2x - 1
C. (x^2 - 2x - 3) - (x^2 + 4x + 2) = 2x-1
D. (x^2 - 2x-3) +(-x^2 + 4x + 2) = 2x - 1
Answers
Can someone give me the answer the answer to this question?
Answers
Answer:
-2 is your awnser
Step-by-step explanation:
I hope this helps out.
Next, find a constant for the line that has a slope of 2x, crossing (2,3).
Given that the original equation 2x crosses (2,4), you need to go down one, meaning that the constant is -1.
This means that your equation for
(2,3), parallel to y=2x–5, is y=2x–1
Answer: y=2x–1
Hope this helps! c:
I would really like help
Answers
Answer:
2[tex]\sqrt{3}[/tex] or ~3.464
Step-by-step explanation:
We see that the triangle ABC has an angle of 90° and 45°, so 90+45 is 135, and 180-135 is 45° which is a special triangle. The hypotenuse is k[tex]\sqrt{2}[/tex] and we know that k is 6 so the other side lengths are 6 since they are just k. Now the triangle CBD hares a side so it is 6 and the angles are 60° and 90° so the last angle is 30° which is another special triangle. Since the side length is 6 and it equals [tex]\frac{\sqrt{3} }{2}[/tex]k. We divide 6 by [tex]\frac{\sqrt{3} }{2}[/tex] and we get 4[tex]\sqrt{3}[/tex] which is the value of k or the hypotenuse. To find x, we multiply k by 1/2 or divide it by 2. Dividing 4[tex]\sqrt{3}[/tex] by 2 gives us 2[tex]\sqrt{3}[/tex] which is x. If the question wants the exact number, then it is 3.464, otherwise, just put 2[tex]\sqrt{3}[/tex]. Hope this helps! (I'm not a bot btw)
what is an equation of the line that passes through the points (-4, -3) (7, 8)
Answers
Answer:
y = x + 1
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 4, - 3 ) and (x₂, y₂ ) = (7, 8 )
m = [tex]\frac{8-(-3)}{7-(-4)}[/tex] = [tex]\frac{8+3}{7+4}[/tex] = [tex]\frac{11}{11}[/tex] = 1 , then
y = x + c ← is the partial equation
to find c substitute either of the 2 points into the partial equation
using (7, 8 ) , then
8 = 7 + c ⇒ c = 8 - 7 = 1
y = x + 1 ← equation of line
Write 65 as a product of primes
Answers
Answer: 65 = 1 x 65 or 5 x 13. Factors of 65: 1, 5, 13, 65. Prime factorization: 65 = 5 x 13.
Step-by-step explanation:
a line through (2, 1) meets the curve x²-2x-y=3 at A(-2,5) and at B. FIND THE COORDINATES OF B
Answers
Answer:
(3,0)
Step-by-step explanation:
We know the line will Pss through
(-2,5) and (2,1) so
let find the slope
[tex] \frac{1 - 5}{2 - ( - 2)} = \frac{ - 4}{4} = - 1[/tex]
So the slope is -1.
We know it passes through 2,1 so use point slope to find b.
[tex]y - 1 = - 1(x - 2)[/tex]
[tex]y - 1 = - x + 2[/tex]
[tex]y = - x + 3[/tex]
Set that equal to
[tex] {x}^{2} - 2x - y = 3[/tex]
[tex] {x}^{2} - 2x - 3 = y[/tex]
[tex] {x}^{2} - 2x - 3 = - x + 3[/tex]
[tex] {x}^{2} - x - 6 = 0[/tex]
[tex](x - 3)(x + 2) = 0[/tex]
[tex]x = 3[/tex]
Point (3,0).
Find the coordinate of W' after a 270 counterclockwise rotation of the triangle about the origin and then a translation of 2 units down and 1 unit to the right.
Answers
Answer: d: -2,2
Step-by-step explanation:
The coordinates of W' after the rotation and the translation is (-2, 2).
Option D is the correct answer.
We have,
The rule for a rotation by 270° about the origin.
(x, y) → (y, −x)
Now,
W = (-4, -3)
Applying the rule.
W = (-3, 4)
Now,
A translation of 2 units down and 1 unit to the right.
So,
W = (-3, 4)
W = (-3 + 1, 4 - 2)
W = (-2, 2)
Thus,
The coordinates of W' after the rotation and the translation is (-2, 2).
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Complete the slope-intercept form of this line.
y = –4x +
Answers
Answer:
the slope intercept form of this line is y = -4x + 9.
Step-by-step explanation:
The equation of line is given by:
y = mx + b .....[1]
where,
m is the slope of line
b is the y-intercept.
As per the statement:
Given: The rate of change = -4
Substitute in [1] we have;
y = -4x + b
Substitute the values of any (x, y) from the given table.
Let x = -1 and y = 13
then;
13 = -4(1-)+b
⇒13 = 4+b
Subtract 4 from both sides we have;
9 = b
or
b = 9
⇒the equation become, y = -4x+9
Therefore, the slope-intercept form of this line is, y = -4x+9
How many times greater is 5.6 x 10 than 1.4 x 10??
Answers
Answer:
4 times greater
Step-by-step explanation: