Answer:
see explanation
Step-by-step explanation:
Given
y = x² - 6x + 2
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
To complete the square
add/subtract ( half the coefficient of the x- term )² to x² - 6x
y = x² + 2(- 3)x + 9 - 9 + 2
= (x - 3)² - 7 ← in vertex form
with vertex = (3, - 7 ) and a = 1
Since a > 0 then vertex is a minimum
Answer:
The vertex is a minimum.
Need help with this question please:
Answer:
If the data is collected in a biased manner, or the number of observations is too small, the graph could be skewed. To ensure the data is not skewed, collect a large representative unbiased sample. Hope this helps
Step-by-step explanation:
Find the value of X
A. 50
B. 36
C. 18
D. 25
A.50
I'm sure its correct
Answer:
It's (A) 50
Step-by-step explanation:
For the x-values 1,2,3, and so on the y values of a function form a geometric sequence that decreases in value. What type of function is it? A. increasing linear. B. Decreasing linear C. exponential growth D. exponential decay
Answer:
D
Step-by-step explanation:
BIG BRAIN
Makes no sense yea put D like it’s gonna be the answer for d on mine
Which number line represents the solutions to |-2x| = 4?
Answer:
Step-by-step explanation:
Your answer is c
the absolute value of -2x would be positive 2x making x =2 and -2
In the diagram, what is the measure of angle 1 to the nearest degree? A transversal intersects 2 lines to form 8 angles. Clockwise from the top left, the angles are blank, 88 degrees, blank, (7 x + 4) degrees; blank, blank, (7 x minus 2) degrees, 1. 82° 92° 94° 98°
Answer:
98 degrees
Step-by-step explanation:
The measure of angle 1 is 92°
The correct option is B.
What is an angle measure?When two lines or rays intersect at a single point, an angle is created. The vertex is the term for the shared point. An angle measure in geometry is the length of the angle created by two rays or arms meeting at a common vertex.
Given:
A transversal intersects 2 lines to form 8 angles.
Clockwise from the top left, the angles are blank, 88 degrees, blank, (7 x + 4) degrees;
blank, blank, (7 x minus 2) degrees, blank.
Now, the property of the supplementary angles:
m∠1 + m∠2 = 180°
m∠1 = 180 - 88
m∠1 = 92°
Therefore, the angle measure of angle 1 is 92°.
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Which best describes the relationship between the line that passes through the points
Answer:
Perpendicular (A)
Step-by-step explanation:
First find the gradient of the first line:
Change in y/ Change in x = -7-(-2)/ -9-(-12) = -5/3
Now find the gradient of the second line:
9-6/1-6 = -3/-5 = 3/5
When we multiply the gradient of two perpendicular lines we will get:
m1 x m2 = -1
If we multiply 3/5 and -5/3 we will get -1
Therefore it is perpendicular!
Question 14 (1 point)
Saved
If f(x) = x2 + 5, f(-3) =
14
15
O 1) -
17
18
2-4
20
21
3) 14
O 4) 11
23
24
O 5)-11
Answer:
-6
Step-by-step explanation:
A large college wishes to determine the average SAT scores for students who apply from New York. They surveyed 95 students from New York and discovered a mean SAT score of 1509. Which of the statements below represent the statistic and the population, respectively, of the survey?
I. The mean SAT score of all students from New York
II. The mean SAT score of 95 students from New York
III. The 95 students who apply to the college from New York
IV. All students who apply to the college from New York
Statements I and II
Statements II and III
Statements I and IV
Statements II and IV
Answer:
statements 2 and 3
B
Step-by-step explanation:
10 rubber stamps cost $10.30 Which equation would help determine the cost of 2 rubber stamps?
The cost of 2 rubber stamps is $2.
We have given that rubber stamps cost $10.30
we have determined the cost of 2 rubber stamps.
We have to find the price per stamp.
What is the formula for the value price of one stamp?[tex]1 samp price=\frac{cost for all stamp }{total number of stamp}[/tex]
Therefore we get,
10.30/10 = 1.03 per stamp
For two stamps:
1.03 x 2 = $2.06 for two
=$2.06
=$2
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and what is distance jeremy jumps from the ramp to the fire escape is _______ feet (round to the nearest tenth of a foot)
Answer:
sin(70°) =10/x
The distance Jeremy jumps from the ramp to the fire escape is 10.6 feet
Step-by-step explanation:
From the question shown in the picture attached, the vertical height Jeremy has to jump is: 15 - 5 = 10 ft
A right triangle is formed, where the angle between the hypotenuse (called x) and one of the legs is: 160° - 90° = 70°, and the vertical height Jeremy has to jump, is the leg opposite to that angle.
From sine definition:
sin(70°) = opposite/hypotenuse
sin(70°) = 10/x
x = 10/sin(70°)
x = 10.6 ft
Find the measures of the angles of the ∆ABC if m∠A : m∠B : m∠C = 2:3:4.
Answer:
m∠A = 2x = 2*20 = 40
m∠B = 3x = 3*20 = 60
m∠C= 4x = = 4*20 = 80
Step-by-step explanation:
we know sum of angles of triangle is 180 degrees
given
m∠A : m∠B : m∠C = 2:3:4
let the angle be
m∠A = 2x
m∠B = 3x
m∠C= 4x
we have taken such angle by applying rule of indices where
a:b:c = ax:bx:cx
which means that if we multiply all term of ratio by same number ratio remains same
thus,
2x+3x+4x = 180
9x = 180
x = 180/9 = 20
Thus,
m∠A = 2x = 2*20 = 40
m∠B = 3x = 3*20 = 60
m∠C= 4x = = 4*20 = 80
Lina is making a trail mix of a hiking trip. She has 2 1/2 cups of peanuts, 3 1/4 cups of raisins, and 2 2/3 cups of banana chips. How many cups of trail mix can she make? Please answer this if you want too.
Answer: 8 cups of trail mix
Step-by-step explanation: Convert 2 1/2, 3 1/4, and 2 2/3 to decimals—2.5, 3.25, and 2.67. Then add them together to get 8.42. You need to round to 8, because you can only have a exact numbers of cups.
Hope this helps:)
Questions in image below
Answer:
domain 0<=x<=infinty or [0,infinity)
Range 0<=y<=infinity or [0,infinity
Step-by-step explanation:
A researcher posts a newspaper advertisement offering 520 in exchange for participation in a short study. The researcher accepts the first five people who respond to the advertisement which
of the following statements is true about the sample?
It is not a valid sample because it is only a short study
It is a valid sample because money was offered to participants
It is a valid sample because the first five people were selected to participate
It is not a valid sample because it is not a random sample of the population
Answer:
It's a valid sample because the first five people were selected to participate.
Step-by-step explanation:
True because random people who saw the advertisement responded. By chance, not every person who saw the advertisement answered, therefore it was random, but it would be more random if he decided to reject the second, fourth, sixth, and eighth person, and only the first, third, fifth, seventh, and ninth were chosen.
Which of the following is the slope of line perpendicular to the y= -2/3x + 5? A.2/3 B.3/2 C.-2/3 D.-3/2
Answer:
+3/2 (Answer B)
Step-by-step explanation:
If the slope of a given line is m, then the slope of any line perpendicular to this given line is the negative reciprocal of the slope of the latter:
-1
------------ = +3/2 (Answer B)
-2/3
I NEED THIS BY 11:50!!! PLEASE HELP, WILL MARK BRAINIEST IF CORRECT!
Use these expressions to answer the questions.
Expression A: (x + y)
Expression B: (x) + (y)
Choose a positive value for x and positive value for y. Then, do the following steps:
Substitute the x- and y- values into expression A and expression B.
Simplify.
Write the result of each expression. Repeat these steps for the next three situations: Choose a negative value of x and a negative value y. Choose a positive value of x and a negative value of y. Choose a negative value of x and a positive value of y. 2.
Describe any patterns you notice. Are the two expressions ever equal? Can one be greater than the other?
Answer:
Both expressions are equal. One expression cannot be greater than the others.
Step-by-step explanation:
The given expressions are:
A: (x + y)
B: (x) + (y)
Let x = a and y = bA: (a+b) = a+b
B: (a)+(b) = a+b
Let x = -a and y = -bA: (-a+ (-b)) = -a-b
B: (-a)+(-b) = -a-b
Let x = a and y = -bA: (a+(-b)) = a-b
B: (a)+(-b) = a-b
Let x = -a and y = bA: ((-a)+b) = -a+b
B: (-a)+(b) = -a+b
We can see the pattern that both expressions are always equal to each other, no matter what value of x and y you plug in. One expression cannot be greater than the other
- 2x
f(x)= x +4,
4x - 7
XS-10
- 10
X2
20. Use the piecewise function to evaluate points f(-1), f(2), and f(12).
O A. f(-1) = 3, f(2) = 1, and f(12) = 41
B. f(-1) = 3, f(2) = 6, and f(12) = 41
O C. f(-1) = 2. f(2) = 1, and |(12) = 41
D. f(-1) = 2. f(2) = 6, and f(12) = 41
Answer:
[tex]f(-1) = 3[/tex]
[tex]f(2) = 6[/tex]
[tex]f(12) = 41[/tex]
Step-by-step explanation:
Given
The piece wise function can be split to:-
[tex]f(x) = -2x[/tex] [tex]x\leq -10[/tex]
[tex]f(x) = x + 4[/tex] [tex]-10<x\leq 2[/tex]
[tex]f(x) = 4x - 7[/tex] [tex]x> 2[/tex]
Required
f(-1), f(2) and f(12)
To solve for each of these functions, we first check the range they fall into, then we execute the corresponding function
Solving f(-1)
-1 is within the range of [tex]-10<x\leq 2[/tex]
Hence; we make use of [tex]f(x) = x + 4[/tex]
Substitute -1 for x
[tex]f(-1) = -1 + 4[/tex]
[tex]f(-1) = 3[/tex]
Solving f(2)
2 is within the range of [tex]-10<x\leq 2[/tex]
Hence; we make use of [tex]f(x) = x + 4[/tex]
Substitute 2 for x
[tex]f(2) = 2 + 4[/tex]
[tex]f(2) = 6[/tex]
Solving f(12)
12 is within the range of [tex]x> 2[/tex]
Hence; we make use of [tex]f(x) = 4x - 7[/tex]
Substitute 12 for x
[tex]f(12) = 4(12) - 7[/tex]
[tex]f(12) = 48 - 7[/tex]
[tex]f(12) = 41[/tex]
The length of a rectangular pool is 4yds longer than twice the width. If the area is 70 square yards, find the dimensions.
Answer: Found it by web and solving
Step-by-step explanation: L = W + 4
LW = 60
---
LW = 60
(W + 4)W = 60
W^2 + 4W + (-60) = 0
---
above is in quadratic equation form: ax^2 + bx + c = 0
---
use the quadratic formula to solve for two solutions:
x = ( -b +- sqrt( bb - 4ac ) ) / 2a
---
the two solutions are:
W = 6
W = -10
the negative solution doesn't make sense for length, so use the positive solution.
---
L = 10
W = 6
BD is a diameter of circle Q. If M_ACB=30°, what is M<DBA?
A. 30°
B. 50°
C. 60°
D. 70°
E. 90°
Graph the equation by plotting three points -3y=x-6
Answer:
Use a graphing calc
Step-by-step explanation:
How old will Alyssa be when she is three times younger than her mom? Alyssa is 10.
arrange these numbers in order of size from smallest to largest 2.64 21.3 12.35 12.06 2.8 2.09
Answer:
2.09,2.64,2.8,12.06,12.35 and 21.3
Step-by-step explanation:
divided 80 by my number, and then added 13. The result was 93. What was my number ?
Answer:
6400
Step-by-step explanation:
6400/80=80
80+13=93
Hope this Helps
Pls Mark as Brainliest
Your number was 6400 because when 6400/80= 80, Then 80+13= 93.
What is division explain?
Division is one of the four basic operations: addition, subtraction, and multiplication are the alternatives 3. department is a simple operation in which a number is split. it's easiest to think about it as a number of items being divided among a sure range of human beings, including inside the above example.
What is a division example?In maths, a division is a technique of splitting a selected amount into the same parts. for instance, we can divide a set of 20 members into 4 agencies of 5 individuals each or five organizations of 4 members every, and so on.
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the dead sea is at an elevation of -1,360 feet. A seabirds flying over the dead sea at an elevation of -422 feet. if the bird lands on the dead sea, what will be its change in elevation
Answer:
- 938
Step-by-step explanation:
We can change these to positive just so its easier to work with
So 1360 - 422 = 938
since they are going down you just have to change the number to a negative.
The change in elevation is 938 feet.
To find the change in elevation.
What is elevation?The action or fact of raising or being raised to a higher or more important level, state, or position. Elevation is distance above sea level. Elevations are usually measured in meters or feet. They can be shown on maps by contour lines, which connect points with the same elevation; by bands of color; or by numbers giving the exact elevations of particular points on the Earths surface.
Given that:
Dead sea is at an elevation = -1,360 feet.
seabirds flying over the dead sea at an elevation =-422 feet.
Although when you have 2 negative numbers in a subtraction-elevation problem, the elevation difference won't be negative.
So, difference between the depth and the surface of the dead sea
= Dead sea is at an elevation - seabirds flying over the dead sea at an elevation
=-1360-(-422)
=-938 feet.
But that would just describe a regular negative subtraction problem, so it becomes 938 feet.
This answer is positive since it describe the distance between these integers.
So, the change in elevation is 938 feet.
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can someone simplify (3x)^4
Answer:
81x^4
Step-by-step explanation:
Apply the product rule to 3x
3^4x^4
Raise 3 to the power of 4
81x^4
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The following graph represents the equation y=-3/2x+3?
Please select the best answer from the choices provided.
TRUE OR FALSE
Answer:
yes
Step-by-step explanation:
Asap answer Needed (desperate)
Answer:
Part 1: [tex]2l+2w=34[/tex] Part 2: 10.5 Units
Step-by-step explanation:
We can find perimeter of a rectangle using formula [tex]2l+2w=P[/tex]. We are given [tex]w[/tex], which is 6.5. Put this into the equation.
[tex]2l+2(6.5)=342l+13=34\\2l=21\\l=10.5[/tex]
So, length(l) of the rectangle is 10.5 units.
Answer:
10.5
Step-by-step explanation:
The perimeter of rectangles is calculated by adding all lengths together
34 units = length + length + width +width
since width is given as 6.5 units
2l + 2 × 6.5 = 34 (l : length)
2l + 13 = 34
2l = 21
l = 10.5
PLS RESPOND ASAP 7th grade math
Answer:
3/4
Step-by-step explanation:
The constant of proportionality is y/x
3/4
The probability of picking a quarter from a jar of coins is 0.125. If Noah has 250 coins in the jar, about how many quarters are in the jar?
Answer:
31.25
Step-by-step explanation:
There are about 31 quarters in a the jar so if you need to round do accordingly! Have a good day
Answer:
31 quarters
Step-by-step explanation:
Have an equation set
Then you solve the equation you get 31.25
Round the number since you can't have 31.25 quarters it just doesn't make sense.
Round it to 31
Therefore your answer is 31 quarters
Hope this Helps!
find equation of vertical line through (-5, -3)
Answer:
x = -5
Step-by-step explanation:
Given that it is a vertical line, we know that it will only go through one x-value.
We are also given a point, (-5, -3).
This point tells us that the vertical line only goes through the x-value -5, so the equation will be x = -5.