The number that could not be a value of y if y = 4x² - 6 is -12.
What is the value of y for a function of f(x)?The value of y for which a function f(x) = y = 4x² - 6 can be determined by knowing the smallest value of y for which x is equal to zero.
So, from the equation y = 4x² - 6, we will replace the value of x with zero to determine the smallest value of y.
i.e.
y = 4(0) - 6
y = 0 - 6
y = -6
Thus, any number smaller than -6 could not be a value of y for the equation y = 4x² - 6.
Therefore, we can conclude that the number that could not be a value of y if y = 4x² - 6 is -12.
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Answer:
-12 is the answer.
A sector of a circle has central angle 120 degrees and arc length 10π
centimeters. What is the radius of the circle
Answer:
the radius = 15 cmStep-by-step explanation:
let r be the radius of the circle.
→ We know that in circle , the length of an arc
and the corresponding central angle are proportional.
180 corresponds to πr
120 corresponds to 10π
Then
[tex]\frac{\uppi r}{180} =\frac{10\uppi }{120}[/tex]
[tex]\Longrightarrow r=\frac{180\times 10\pi }{120\pi } =\frac{180}{12} =15[/tex]
!!20 POINTS AND BRAINLIEST!!! HELP ASAP!!!
How much ribbon would be needed to go around a package that had a length 2x^2+3x-5/x^2+x-3 centimeters and width x^2-x-5/x^2+x-3 centimeters?
(show work)
Answer:
23cm
Step-by-step explanation:
If you multiply like terms you will get the answers. Then you add last to get 23cm
The required length ribbon needed to go around the package is 2(3x^2 + 2x -10) / (x^2 + x - 3).
Given that,
Package that had a length of 2x^2+3x-5/x^2+x-3 centimeters and width x^2-x-5/x^2+x-3.
How much ribbon would be needed to go around the package in centimeters is to be determined.
Perimeter is the measure of the figure on its circumference.
The rectangle is a four-sided polygon whose opposites sides are equal and has an angle of 90° between its sides.
Quantity of ribbon = perimeter of the rectangular package
= 2 * length + 2* width
= 2 * (2x^2+3x-5/x^2+x-3) + 2(x^2-x-5/x^2+x-3)
= 2 (3x^2 + 2x -10) / (x^2 + x - 3)
Thus, the required length of ribbon needed to go around the package is 2(3x^2 + 2x -10) / (x^2 + x - 3).
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A circular grass lawn has an area of 314 square metres.
12.
Find the circumference of the lawn.
Answer:
[tex]C= 62.8m[/tex]
Step-by-step explanation:
Let's round [tex]\pi = 3.14[/tex]. Area of a circle if [tex]\pi r^2[/tex]. In our case, we can easily find out the radius[tex]\pi r^2 = 100\pi \rightarrow r=10m^[/tex]. At this point, it's easy to find the length of the circumference by doubling it and multiplying again by [tex]\pi[/tex]:
[tex]C= 2\pi r = 62.8 m[/tex]
A rectangle is divided into 4 equal rows with 4 squares in each row. mark says 1 square is 1/4 of the whole rectangle. kareem says 1 row of the whole rectangle.
A tub of water is emptied at a rate of 3 gallons per minute. The equation y –12 = –3(x – 1) models the amount of water remaining, where x is time (in minutes) and y is the amount of water left (in gallons). Analyze the work shown below to determine the initial amount of water.
1. Solve for the y-variable.
y – 12 = –3(x – 1)
y – 12 = –3x + 3
y = –3x +15
2. Write the equation using function notation.
f(x) = –3x +15
The tub started with
gallons of water.
The initial amount of the water is 15 gallons
Linear functionsThese are functions that has a leading degree of 1. Given the equation that represents the amount of water remaining after x minutes;
y - 12 = -3(x- 1)
y -12 = -3x + 3
y = -3x +3 + 12
y = -3x + 15
In order to determine the initial amount of water, we will substitute x =0 into the function
y = -3(0) + 15
y = 15
Hence the initial amount of the water is 15 gallons
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Answer:
15
Step-by-step explanation:
Find the indicated conditional probability
using the following two-way table:
Grade
Drive to school Take the bus
Walk
Sophomore
2
25
3
Junior
13
20
2
Senior
25
5
5
P(Take the bus | Junior) = [?]
Round to the nearest hundredth.
Using it's concept, it is found that the desired probability is given by:
P(Take the bus | Junior) = 0.5714 = 57.14%.
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
In this problem, we have that out of the 13 + 20 + 2 = 35 Junior students, 20 take the bus, hence the probability is given by:
P(Take the bus | Junior) = 20/35 = 0.5714 = 57.14%.
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In the following exercises, translate into an equation and solve
Kindergarten Connie’s kindergarten class has 24 children. She wants them to get into 4 equal groups. How many children will she put in each group?
Answer: 6 children
Step-by-step explanation:
Given:
Children - 24
Groups - 4
Number of children per group - x
Solve:
24 ÷ 4 = x
x = 6
Hope it helps!!! Please mark as brainliest. Thanks :D
Evaluate (cant write it out, picture included)
Let's solve this problem step-by-step:
⇒ with our knowledge of PEMDAS
⇒ (look at the image attached)
Let's solve:
Let's first plug n's value[tex]\frac{9}n}+4 = > \frac{9}{-3}+4[/tex]
Let's first do the division[tex]\frac{9}{-3}+4=-3+4[/tex]
Now let's add[tex]-3+4=1[/tex]
Answer: 1
Hope that helps!
1. How many ways can Grant arrange 3 of his 10 plants on a window ledge?
2. A parade organizer received 8 entries for floats. How many ways can he arrange 4 floats out of the 8 entries?
3. Express 4! in expanded form.
4. The number of ways 15 members of a 24-member club can be arranged. ( use permutation notation). PLEASE HELP ME!! and thankyou
The number of ways that Grant can arrange 3 of the 10 plants is 120 ways and the number of ways that 4 floats out of 8 can be arranged is 70 ways.
How can these combination problems be solved?Grant can arrange 3 out of 10 plants in the following number of ways:
= 10!/ ((10! - 3!)3!)
= ( 10 x 9 x 8) / (3 x 2)
= 120 ways
The parade organizer can arrange 4 floats out of 8 as:
= 8!/((8! - 4!)4!)
= (8 x 7 x 6 x 5) / (4 x 3 x 2)
= 70 ways
When 4! is written in expanded form, it comes out as:
= (4 x 3 x 2)
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Ok, so I have a math assignment that is due on Monday (so in 2 days), but I don't understand it. Here are the instructions:
You buy a pair of jeans at a department store.
Jeans_____ $39.99
Discount___ -10.00
Subtotal____ 29.99
Sales Tax___ 31.94
I have the first two questions done for this question, and I just need help on the last one. Here it is:
The price of the jeans includes a 60% markup. After the discount, what is the percent of markup to the nearest percent?
The percent of markup is __%.
Can anyone please help me?
Thanks!
Mark the statements that are true. A. An angle that measures π/4 radians also measures 45°. B. An angle that measures 180° also measures π radians. C. An angle that measures 60° also measures π/3 radians. D. An angle that measures π/3 radians also measures 30°.
Answer:
TRUE: A, B, C
False: D
Step-by-step explanation:
A full circle of 360° has a radian measure of 2π radians. The relationship is proportional, so π radians is 180°.
__
A. An angle that measures π/4 radians also measures 45°. TRUE
45° × π/180° radians = π/4 radians
B. An angle that measures 180° also measures π radians. TRUE
180° × π/180° radians = π radians
C. An angle that measures 60° also measures π/3 radians. TRUE
60° × π/180° radians = π/3 radians
D. An angle that measures π/3 radians also measures 30°. FALSE
30° × π/180° radians = π/6 radians
A graph shows the number of texts, numbered 10 to 100, on the x-axis, and the total cost in dollars, numbered 3 to 27, on the y-axis. A straight red line with a positive slope, labeled Emilia, begins at (0, 10), and a straight blue line with a positive slope, labeled Hiroto, begins at (0, 20). Both lines intersect at point (50, 22.5).
Hiroto’s texting plan costs $20 per month, plus $0.05 per text message that is sent or received. Emilia’s plan costs $10 per month and $0.25 per text. Using the graph below, which statement is true?
(50, 22.5) is the solution of the system of equations, therefore, the true statement would be: Both plans cost the same when 50 texts are sent.
What is the Solution of a System of Linear Equations?A solution to the system of linear equations is the point of intersection where both line of each equation meet.
The solution to the system of linear equations given in the graph attached below is (50, 22.5).
(50, 22.5) implies that both plans will cost the total amount when 50 text are sent.
The true statement using the graph would be: Both plans cost the same when 50 texts are sent.
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Answer:
Both plans cost the same when 22 texts are sent
Step-by-step explanation:
on edge
the length of a line is y centimetres write down an expressions in terms of y for the length of the line in millimetres
Answer:
L=10y
Step-by-step explanation:
1cm=10mm
Hence, the length in millimeters will be 10 times the value in cm.
please answer, much appreciated!!!!!
Answer:
i don't understand your question
Step-by-step explanation:
ACTIVITY #1
Try It!
A. Write the definition, property, postulate or theorem that will prove each of the given statements.
What completes the proof are:
1. LC ≅ CU; CU ≅ UK
2. Given
3. Unequal angle theorem (Aa → Ss)
What is the Unequal Angle Theorem?The unequal angle theorem states that the longer side of a triangle will always be directly opposite the largest angle measure. This implies that, if an angle that is opposite a side is greater than another another, the side it is opposite will also be longer than the side opposite the other angle (Aa → Ss).
From the image given, statement 1 was given as well as statement 2.
Statement 1 would be: LC ≅ CU; CU ≅ UK.
The reason for statement 2 will also be "given".
Then, UL > CK using the unequal angle theorem (Aa → Ss).
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Which answer choice has the set of numbers
ordered correctly from least to greatest?
16
13, √, 1.71, 9
3
√. 12, 16, 1.71
4
3
16
1.71, 12, 1
9
O
16.1.71,√, 12
3
9
Answer:
0
3
3
3
8
9
12,161.71√
I think his is the best order
A square notepad has sides that are 10 centimeters long. What is the notepad's area?
Answer:
100cm²
Step-by-step explanation:
The notepad is square.
The area of a square = length X width.
All the sides of a square are the same length.
Therefore, the area of the notepad = 10 X 10 which equals 100.
Don't forget the units!
The units for area is cm².
The units for volume is cm³.
This is area so your answer is 100cm².
Hope this helped, have a nice day!
What is the equation of a line that passes through (-6,2) and has a slope of -(1)/(2)?
Answer:
y= -1/2x+5
Step-by-step explanation:
plsssss. Quadrilateral IJKL is similar to quadrilateral MNOP. Find the measure of side MN. Figures are not drawn to scale.
[tex]\\ \rm\Rrightarrow \dfrac{IJ}{IL}=\dfrac{MN}{MP}[/tex]
[tex]\\ \rm\Rrightarrow \dfrac{24}{12}=\dfrac{MN}{3.8}[/tex]
[tex]\\ \rm\Rrightarrow 2=\dfrac{MN}{3.8}[/tex]
[tex]\\ \rm\Rrightarrow MN=3.8(2)[/tex]
[tex]\\ \rm\Rrightarrow MN=7.6[/tex]
Write in the form ( x + p ) ^2 + q x^ 2 − 10 x
Answer:
(x - 5)² - 25
Step-by-step explanation:
using the method of completing the square
x² - 10x
add/subtract ( half the coefficient of the x- term )² to x² - 10x
x² + 2(- 5)x + 25 - 25
= (x - 5)² - 25
Describe the effect the change in scale has on what the graph suggests. a. On graph B, the group of birds seems to have twice as much as the group of mammals. b. The differences between the groups seems much less in Graph A. c. The differences between the groups seems much less in Graph B. d. On graph A, the group of mammals seems to have one-quarter as much as the group of fish. Please select the best answer from the choices provided
The effect that the change in scale has on what the graph suggests is C. The differences between the groups seems much less in Graph B.
What is a graph?It should be noted that graph simply means a diagram that's used to show the information about a data given.
Here, the effect that the change in scale has on what the graph suggests is that the differences between the groups seems much less in Graph B.
Therefore, the correct option is C.
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A mother and daughter decided to add their ages together. The sum of their ages is 76. Six years ago, the mother was 3 times the age of her daughter. How old is the daughter now?
Answer: The answer will be 19
Answer: 23 years old
Step-by-step explanation:
Ahmed and Babar share 240g of sweets in the ration 7:3. Calculate the amount Ahmed receives
The amount received by Ahmed is 168 gm.
What is Ratio?
The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity. Ratios can be classified into two types. One is part to part ratio and the other is part to whole ratio.
Here, let the amount received by Ahmed be 7x
and amount received by Babar be 3x
Total amount of sweets = 240 gm
Now, according to question,
7x + 3x = 240
10x = 240
x = 240/10
x = 24
Thus, the amount received by Ahmed is 7 X 24 = 168 gm and amount received by Babar = 3 X 24 = 72 gm.
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In one country, approximately 178,200 of 990,000 residences are rentals. Determine the percentage of residences in the country that are rentals.
Answer:
18%
Step-by-step explanation:
178 200 / 990 000 x 100% = 18%
I need this answer quickly please :)
monkey B
Step-by-step explanation:
f(x) = 16x2 + 32x − 9?
Step-by-step explanation:
c beacuse if you subtract 8 by 2 you get 6 times x
Question 5 of 5
Select the correct answer from each drop-down menu.
The area of this rectangle is 54 square inches. Create an equation to find the value of n.
3(n-1)
54 square inches n+2
rẻ tint
▼ = 0
Answer:
[tex]3n^2+3n-6=54[/tex]
Step-by-step explanation:
Total Area=54 square inches. Area=length*width.
Because the length is [tex][3(n-1)][/tex], and the width is [tex](n+2)[/tex], you can plug that into the equation for area. In this case, because the total area is 54, we can plug that in for area.
[tex][3(n-1)](n+2)=54[/tex]
Distribute through the parenthesis in [tex]3(n-1)[/tex].
[tex](3n-3)(n+2)=54[/tex]
Then, multiply [tex]3n-3[/tex] and [tex]n+2[/tex] using whatever method you prefer. I used FOIL, which stands for First, Outer, Inner, Last. You multiply the first terms together, the outer terms together, the inner terms together, and the last terms together.
[tex]3n^2+6n-3n-6=54[/tex]
Simplify.
[tex]3n^2+3n-6=54[/tex]
On the first day of a song release, it had 20 million streams. If the number of streams increases by 10% per day, how many streams will there be on the seventh day
Answer:
35.4 million
Step-by-step explanation:
We assume the description "increases by 10% per day" means the base of the percentage is the previous day's number of streams. Then the sequence of streams on consecutive days is a geometric sequence with a first term of 20 million and a common ratio of (1 +10%) = 1.10.
__
streams on day nThe n-th term of a geometric sequence is ...
an = a1×r^(n-1) . . . . . where a1 is the first term, and r is the common ratio
The sequence of streams on consecutive days is then ...
an = 20×1.10^(n-1) . . . . millions of streams on day n
seventh dayFor n = 7, the number of streams is ...
a7 = 20×1.10^(7 -1) ≈ 35.4 . . . . million streams
There will be about 35.4 million streams on the seventh day.
What is the product of the fractions below?
1/8 * 4/5
Answer: 1/10
Step-by-step explanation:
(1 x 4)/(8x5)
4/40
1/10
2x(x-5) -x (3 + 2x) = 26
help me pls
Answer:
x = -2
Step-by-step explanation:
[tex]2x(x-5)-x(3+2x) = 26\\2x^{2} -10x-3x-2x^{2} = 26\\-13x=26\\x=\frac{26}{-13} \\=-2[/tex]
Its basically the order of operations, from left to right , evaluate brackets (if possible), then multiplication or division, lastly followed by addition or subtraction.
2x2-10x-3x-2x2=26
Eliminam opusele
reducem termenii
-13x=26
imparte ambele parti
x=-2
Step-by-step explanation:
A farmer creates a rectangular pen using part of the wall of a barn for one side of the pen and a total of 130 feet of fencing for the remaining 3 sides, as shown in the diagram. Write and equation which gives the area of the pen, A, as a function of x, the length of fence parallel to the barn
The equation that describes the which gives the area of the pen, A, as a function of x, the length of fence parallel to the barn is A = 130x - x²
How to find area of a rectangle?The pen is rectangular. Therefore,
area of a rectangle = lw
where
l = lengthw = widthTherefore,
perimeter = 2w + l
perimeter = 2w + x
130 = 2w + x
130 - x = 2w
w = 65 - 1/ 2 x
A = xw
A = x(65 - 1/ 2 x)
A = 65x - 1 / 2 x²
Therefore, the function that represents A, the area of the pen is as follows:
A = 130x - x²
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