f(x) = 3x + 5
g(x) = 4x² - 2
h(x) = x²-3x+1
Find f(x) + g(x) - h(x).
O 3x² + 6x + 2
-O 3x²+2
O 6x2² +6x-1
O 5x² +4
After solving the expression we get 3x² ₊ 6x ₊ 2 .
Given f(x) = 3x₊5
g(x) = 4x² ₋ 2
h(x) = x² ₋ 3x ₊ 1
f(x) ₊ g(x) ₋ h(x)
substitute the values.
3x ₊ 5 ₊ 4x² ₋ 2 ₋ (x² ₋ 3x ₊ 1)
4x² ₊ 3x ₊ 3 ₋ x² ₊ 3x ₋ 1
3x² ₊ 6x ₊ 2
hence we get 3x² ₊ 6x ₊ 2 .
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A collector has a box of 32 figurines. The value of each figurine increased by $2.32 over the past year. The box of figurines is now worth $114.24. What was the original cost, x, of one figurine? The original cost of one figurine was . Convince Me! Can the equation 32x + 2.32 = 114.24 be used to find the original cost of each figurine in the problem above? Explain.
Answer:
Step-by-step explanation:
$1.94.Step-by-step explanation:Initial box of figurine = 32Price increase = 2.32Current worth = $144.24Let x be the initial cost of boxes of figurine. (32 * x) * 2.32 = $144.24.74.24x = $144.24.x = $144.24/74.24= $1.94.Therefore the original cost of the box of figurine is $1.94.
3/8 × 11=
3/4 × 2 =
.
[tex]{ \bold{(i)}} \: { \blue{ \tt{4.125}}}[/tex]
[tex]{ \bold{(ii)}} \: { \blue{ \tt{1.50}}}[/tex]
Step-by-step explanation:
[tex]{ \bold{(i)}} \: { \green{ \bold{ \frac{3}{8}}}} \times { \green{ \bold{11}}}[/tex]
[tex] = { \green{ \bold{0.375}}} \: \times \: { \green{ \bold{11}}}[/tex]
[tex] = { \red{ \tt{4.125}}}[/tex]
[tex]{ \bold{(ii)}} \: { \green{ \bold{ \frac{3}{4}}}} \: \times \: { \green{ \bold{2}}}[/tex]
[tex] = { \green{ \bold{0.75}}} \: \times \: { \green{ \bold{2}}}[/tex]
[tex] = { \red{ \tt{1.50}}}[/tex]
Confused with this problem please help. "The measure of the supplement of an angle exceeds 3 times the measure of the complement by 30. Find the measure of the supplement."
Rewrite the expression in an equivalent form where the radicand is a positive integer
with no perfect square factors.
√-12
The equivalent expression of √-12 is 2√-3
How to rewrite the expression?The expression is given as
√-12
Express 12 as 3 * 4
So, we have
√-12 = √(-3 * 4)
Expand the expression
So, we have
√-12 = √-3 * √4
Take the square root of 4
√-12 = √-3 * 2
Evaluate
√-12 = 2√-3
Hence, the equivalent expression of √-12 is 2√-3
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please help!!!
i need to find the area of a rectangle with length of three inches and width of 8 inches.
Answer:
24 inches square
Step-by-step explanation:
Area = length x width
A = 3 x 8 = 24
which expressions can we use to describe how many more seconds tatenda spends than ciara spends mowing lawns during 4 weeks?
The expression used to calculate how many more seconds Tatenda spends than Ciara spends mowing lawns during 4 weeks is 4(700t- 750c) .
What is an expression in math example?
2x + 3 is an illustration of a mathematical expression with a variable. Each and every variable needs to have a coefficient, or a value multiplied by the variable. The number 2 is the coefficient of x in the formula 2x + 3, which indicates 2 times x plus 3.time taken by tatenda to mow a square meter of lawn = t seconds
time taken by Ciara to mow a square meter of lawn = c seconds
area mowed by tatenda in a week = 700 square meters
area mowed by Ciara in a week = 750 square meters
the expression used to calculate how many more seconds Tatenda spends than Ciara spends mowing lawns during 4 weeks
time taken by tatenda for mowing in 4 weeks = 4 * 700 * t seconds
time taken by Ciara for mowing in 4 weeks = 4 * 750 * c seconds
more seconds Tatenda spends than Ciara spends mowing lawns during 4 weeks = [4 * 700 * t ] - [4 * 750 * c]
= 4(700t- 750c)
Therefore, the expression used to calculate how many more seconds Tatenda spends than Ciara spends mowing lawns during 4 weeks is 4(700t- 750c).
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In the following diagram MATH is a rectangle with an inscribed circle. The circle has a diameter of 8 centimeters and the rectangle has a height of 12 centimeters
A small airplane flew 104 miles in 50 minutes.at this rate,how many miles can it fly in one hour? (50 minutes = 5/6 hour)
Answer:
124.8 miles
Step-by-step explanation:
We know that if the rate of change of distance with respect to time remains constant, then the distance and time are proportional .Given : A small airplane flew 104 miles in 50 minutes. Let x be the distance traveled in 1 hour. Also, it is given that Then we have the following proportional equation:-
Hence, it can fly 124.8 miles in an hour.
i need help with thisxx
Using translation concepts, we have that:
The x-coordinates in the image are the opposite of the y-coordinates in the pre-image.The y-coordinates in the image are the same as the x-coordinates of the pre-image.Therefore, the triangle was rotated clockwise 270º about the origin.What is a translation?A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s definition or in it’s domain. Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis.
In this problem, the vertices of the pre-image are given as follows:
D(-5,2), E(1,5), F(0,-1).
The vertices of the transformed image are given by:
D'(-2, -5), E'(-5,1), F(1,0).
From this, we the rule is given by:
(x,y) -> (-y,x).
Which is equivalent to the rotation rule of a rotation of 270º clockwise.
Hence:
The x-coordinates in the image are the opposite of the y-coordinates in the pre-image.The y-coordinates in the image are the same as the x-coordinates of the pre-image.Therefore, the triangle was rotated clockwise 270º about the origin.More can be learned about translation concepts at https://brainly.com/question/4521517
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Under her cell phone plan, Violet pays a flat cost of $38 per month and $3 per gigabyte. She wants to keep her bill under $80 per month. Which inequality can be used to determine xx, the maximum number of gigabytes Violet can use while staying within her budget? A) 80>3x+38 B) 80>3(38+x) C) 80<3x+38 D) 80<3(38+x)
the inequality is:
$38 + $3*x < $80
And the solution is:
x < 14.
How to find the inequality?We know that Violet's plan has a flat cost of $38 plus $3 per gigabyte.
So, if we define x as the number of gigabytes that Violet uses, then the monthly cost is given by:
C(x)= $38 + x*$3
And she wants to spend less than $80 per month, so we can write the inequality:
$38 + $3*x < $80
Solving that for x we get:
$3*x < $80 - $38 = $42
x < $42/$3
x < 14
We conclude that she needs to use less than 14 gigabytes per month.
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Which perfect squares are nearest the square root of 11?
The perfect squares which are nearest to the square root of 11 as in the task content are; 1 and 4.
Which perfect squares are nearest the square root of 11?It follows from the task content that the perfect squares which are nearest to the square root of 11 are to be determined.
Hence, one must first determine what the square root of 11 is as follows.
The square root of 11 as given in the task content is; √11 = 3.32.
Hence, the numbers which are perfect squares and closest to the number 3.32 are; 1 and 4.
Consequently, it follows that the perfect squares as required are; 1 and 4.
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Pls pls help whoever gets it right gets a crown
Answer:
[tex]\frac{15}{56} a^2[/tex]
Step-by-step explanation:
What is the most specific name for the figure? I NEED THE ANSWER
Answer:
D. Rhombus
Step-by-step explanation:
The most specific name for this figure is a rhombus.
Hope this helps!
Please mark as brainliest if correct!
What is −10 + |−4| − |−12|?
−6
−12
−18
−22
Answer:
24
Step-by-step explanation:
What power of 7 is 40 353 607?
Answer:
[tex] {} {7}^{x} = 40353607[/tex]
[tex]x = log_{7}(40353607) [/tex]
[tex]x = 9[/tex]
The diagram shows a rectangle.
The area of the rectangle is 12b²-30b
Write an expression for
a
b
the length of the rectangle
the perimeter of the rectangle.
6b
A
length
N
Answer: The diagram shows a rectangle.
The area of the rectangle is 12b²-30b long a+b+a your answer is aStep-by-step explanation:
A rectangle Expression for "a": a = 12b - 30,Expression for "b": b = (12b² - 30b) / (12b - 30),Length of the rectangle: Length = a = 12b - 30,Perimeter of the rectangle: Perimeter = 2 × (13b - 30)
Let's break down the given information step by step:
The area of the rectangle is given as 12b² - 30b.
The expression for "a":
The area of a rectangle is equal to its length (a) multiplied by its width (b). So, set up the following equation:
Area = Length ×Width
12b² - 30b = a × b
To find the expression for "a," divide both sides of the equation by "b":
a = (12b² - 30b) / b
Simplify the expression for "a":
a = 12b - 30
The expression for "b":
From the same equation as above, that:
Area = Length × Width
12b² - 30b = a × b
To find the expression for "b," divide both sides of the equation by "a":
b = (12b² - 30b) / a
Substitute the value of "a" from the previous expression:
b = (12b² - 30b) / (12b - 30)
The length of the rectangle:
The length of the rectangle is represented by "a," so the expression for the length is: a = 12b - 30
The perimeter of the rectangle:
The perimeter of a rectangle is given by the formula: Perimeter = 2 ×(Length + Width)
Since the rectangle has two pairs of equal sides (opposite sides are equal in a rectangle), the expression for the perimeter will be:
Perimeter = 2 × (a + b)
Substitute the value of "a" from the expression we found earlier:
Perimeter = 2 × ((12b - 30) + b)
Simplify the expression for the perimeter:
Perimeter = 2 ×(13b - 30)
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Plsssss helppp 20 points HELPP
If the theoretical value of a quantity is 3.142, and the calculated value is 3.16, what is the fractional error?
The fractional error for given example is 0.0057
For given question,
the theoretical value of a quantity is 3.142,
and the calculated value is 3.16
We know that, the fractional error is the ratio of the absolute difference and the accepted value.
Fractional error = absolute difference / accepted value
Fractional error = |E - A| / A
Here, A = 3.142
E = 3.16
So, the absolute difference would be,
|E - A| = |3.16 - 3.142|
= 0.018
Now we find the fractional error.
⇒ Fractional error = |E - A| / A
⇒ Fractional error = 0.018 / 3.142
⇒ Fractional error = 0.0057
Therefore, the fractional error for given example is 0.0057
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Directions Round each amount to the nearest cent, dime and dollar
1. $32.518
Answer:
$32.52
Step-by-step explanation:
Hope it helps! =D
Which of the following is the inverse of F(x)= 3-x/5
A. F-1(x)= 3 - x/5
B. F-1(x)= 5+x/3
C. F-1(x)= 5x - 3
D. F-1(x)= 3-5x
Answer:
Step-by-step explanation:
B
Harry tosses a nickel 4 times. The probability that he gets at least as many heads as tails is.
The answer is 4/8 or 1/2 or 0.5 or 50%
Step-by-step explanation:
A nickel has two faces, heads and tails
Equation of probability = Number of chances/Total Numbers of chances
So, 4 chances of heads / 8 chances of heads or tails, thus, there is a chance of 50% if Harry tosses the coin 4 times to get a head
write the equation of each line in slope-intercept form. then graph the line described by the equation
passes through (5,-4) and (-6,5)
(the question is number 6)
Quadrilateral ABCD - quadrilateral WXYZ, AB = 14 cm, BC = 28 cm, CD = 21 cm, and the scale factor of ABCD to WXYZ is 3/7. Find XY.
The length of the side of the quadrilateral is 12 cm.
A closed quadrilateral has a total of four sides, four angles and four vertices.
It is a form of polygon. In order to create it, four are joined(not colinear ). Quadrilaterals always have a total internal angle of 360 degrees.Typically, quadrilaterals will have four-sided standard shapes like rectangles, squares, trapezoids, and kites or they may be irregular and undefined.Following is another approach to group different kinds of quadrilaterals: Quadrilaterals that are convex have two diagonals that are entirely enclosed within the figure.Concave Quadrilaterals: At least one diagonal extends partially or completely beyond the boundaries of the figure.Quadrilaterals that intersect: Quadrilaterals that intersect don't just have two non-adjacent sides cross each other.Quadrilaterals of this type are referred to as self-intersecting .from the scale factor properties of quadrilaterals we know that:
Scale factor = BC ÷ XY
Now we substitute the values to find the length of XY.
[tex]or, \frac{3}{7} =\frac{BC}{XY} \\\\or, \frac{3}{7} =\frac{28}{XY}\\\\or, XY = 65.33..\\\\or, XY\approx65.33[/tex]
Hence the length of XY is 65.33 cm.
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Previous 40 Question 1 Find and interpret the mean absolute deviation of the data. 24, 26, 28, 28, 30, 30, 32, 32, 34,36
The mean absolute deviation of the data is 0
The mean absolute deviation of given data is 0.Given that
The data from question:24, 26, 28, 28, 30, 30, 32, 32, 34,36
To find
the mean absolute deviation of the data.So, according to the question
We have,
The data from question:24, 26, 28, 28, 30, 30, 32, 32, 34,36
The mean of that data[tex]mean = \frac{sum\;of\;data}{number\;of\;data}[/tex]
= [tex]\frac{24+26+ 28+ 28+ 30+30+ 32+ 32+ 34+36}{10}[/tex]
= [tex]\frac{300}{10}[/tex]
mean of data = 30
For mean absolute deviation of the data, first we have to find the difference of each data value from mean of data.
So,
24 - 30 = -6
26 - 30 = -4
28 - 30 = -2
28 - 30 = -2
30 - 30 = 0
30 - 30 = 0
32 - 30 = 2
32 - 30 = 2
34 - 30 = 4
36 - 30 = 6
The sum of data after subtracting it's mean∑D = | (-6-4-2-2+0+0+2+2+4+6) |
∑D = 0
The mean absolute deviation of the data,MAD = [tex]\frac{The \;sum \; of \; data \;after \; subtracting \;it's \;mean }{number \;of \;data}[/tex]
MAD = [tex]\frac{\sum D}{10}[/tex]
MAD = [tex]\frac{0}{10}[/tex] = 0
the mean absolute deviation of the data = 0.
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Evaluate the expression (p + 4)^2 for p = -5 and g = -2.
^2 is square 2
=================
Work Shown:
(p+4)^2
(-5+4)^2
(-1)^2
1
Explanation:
We replace p with -5, since p = -5. Then use the order of operations PEMDAS to simplify. Keep in mind that (-1)^2 = (-1)*(-1) = 1. The two negatives cancel out. The value of g is never used.
12 1/2 divided by 5 1/2
Answer:
25/11
Step-by-step explanation:
Convert to improper fractions
25/2 ÷ 11/2
take reciprocal of divisor and multiply
25/2 x 2/11
50/22
25/11
a stick is broken into 3 pieces, by randomly choosing two points along its unit length, and cutting it. what is the expected length of the middle part?
The expected length of the middle part of the stick is 1/3
We know that the Symmetry Principal,
When n points are drooped on a unit segment, the distributions of lengths of the so obtained n + 1 pieces are all the same.
Let the two points have coordinates x and y. Then the expected value of the middle segment is:
[tex]\int\limits^1_0 \int\limits^1_0 {x-y} \, dx~ dy = \frac{1}{3}[/tex]
Let L be the expected value of the length of the middle part of a stick. Since, according to the Symmetry Principle, the lengths of all three segments have the same distribution, their lengths have the same expected value, viz., L.
But in any experiment, the lengths of the three pieces add up to 1.
⇒ 3L= 1
⇒ L = 1/3
Therefore, the expected length of the middle part of the stick is 1/3
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$2.71 divided by 2.75 round to the nearest cent?
Answer: $0.99
Step-by-step explanation:
2.71/2.75=
0.98545=
0.98545=$0.99
90% is 60 of what number
Answer:
Step-by-step explanation:
150 90x 100/60