Answer:
ƒ(−1) = −3
Explanation:
From the graph, we have the point (-1, -3).
This means that:
• When x=-1
,• The value of f(x)=-3.
Therefore, the value of f(-1) is -3.
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Answer: do c to my very ecucated guess bc c is always right
Step-by-step explanation:
Step-by-step explanation:
question : below pictureis attached
Answer:
the value of 2/3 ^-2 is 18
1/3x - 7 = -8 what is x
Answer:
x = -3
Step-by-step explanation:
Add 7 to -8 = -1
1/3x = -1
Divide -1 by 1/3
x = -3
Answer:
x=-3
Step-by-step explanation:
Rewrite as x/3 -7 = -8Multiply the entire equation by 3 which results in : x -21 = -24Isolate the variable: x = -24 + 21Solve for x: x=-3amazon is selling 24 pack of 3x3 sticky notes for 28.99 Each pack has 100 sticky notes. What is the price for each pack? How much is each single sticky note?
Given data:
Total packs 3x3 sticky notes: 24 packs
Cost of 24 packs: 28.99
Number of sticky notes in a pack: 100
With the information above, we can proceed to find the answers to the questions
Part A: What is the price for each pack?
Since 24 packs cost 28.99
Then 1 pack will cost =
[tex]\begin{gathered} \frac{28.99}{24}=1.208 \\ \text{which is appro}\xi mately\text{ 1.21} \end{gathered}[/tex]Hence, a pack will cost $1.21
Part B: How much is every single sticky note?
Since each pack cost 1.21, and each pack has 100 sticky notes, then
each sticky note will cost
[tex]\frac{1.21}{100}=0.0121[/tex]=> every single sticky note will cost $0.012
Which of the following equations have infinitely many solutions?
Choose all answers that apply:
A. −76x+76=76x+76
B. −76x+76=−76x+76
C. 76x+76=76x+76
D. 76x+76=−76x+76
The two equations with infinitely many solutions are the ones in options B and C.
−76x+76=−76x+7676x+76=76x+76Which of the given equations has infinitely many solutions?An equation only has infinitely many solutions if we have a true equation that does not depend of x.
For example, if you look at option B, we have:
-76x + 76 = -76x + 76
We have the same expression in both sides, if we subtract it in both sides we get:
0 = 0
This is true, and does not depend of x, so this equation has infinitely many solutions.
The same thing happens for equation C.
76x+76=76x+76
Where we have the same thing in both sides.
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Line a is represented by the equation y=−7x+1.
How do these equations compare to line a?
Drag and drop the equations into the boxes to correctly complete the table.
Parallel to line a Perpendicular to line a Neither parallel nor perpendicular to line a
y = 7x - 5 y- = 7x + 3 y = 1/4x + 4
Answer:
Step-by-step explanation:
Find the length of side x to the nearest
tenth.
The length of x in the isosceles right triangle is 15.6 units.
How to find the side of an isosceles triangle?An isosceles triangle is a triangle that has two sides equal to each other and two angles congruent to each other.
The triangle above is an isosceles triangle. The triangle is also a right angle triangle. A right angle triangle is a triangle that has one of it's angles as 90 degrees.
Using Pythagoras's theorem, let's find the side x
c² = a² + b²
where
c = hypotenusea and b are the legsTherefore,
11² + 11² = x²
121 + 121 = x²
x = √242
x = 15.5563491861
Therefore,
x = 15.6 units
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2/3 is what percent of 1/4? of 1/6
Let's first calculate the percentage for 1/4
[tex]\begin{gathered} P=\frac{2/3}{1/4} \\ P=\frac{8}{3} \\ P=2.666 \\ P=267\text{ \%} \end{gathered}[/tex]Let's first calculate the percentage for 1/6
[tex]\begin{gathered} P=\frac{2/3}{1/6} \\ P=\frac{12}{3} \\ P=4 \\ P=400\text{ \%} \end{gathered}[/tex]Select the correct answer.
Consider this function.
f(x) = 2x -2
Which graph represents the inverse of function f?
A. The first graph (Y)
B. The second graph (W)
C.The third graph (X)
D. The last graph (Z)
Answer:
option
Step-by-step explanation:
THE THIRD GRAPH(X)
A train goes at a constant speed. If it covers 150 miles in 2 1/2 hours What distance would it cover in 2 hours?
Answer:
120
2 1/2 hours is 150 minutes and your covers 150 miles in 150 minutes, so remove 30 minutes because 1/2 an hour is 30 minutes and remove 30 miles because you're going of time because 1 minute = 1 mile
draw and label tape diagram to model each number sentence
ANSWER:
We can see the answer in the drawing.
STEP-BY-STEP EXPLANATION:
In this case, we make the diagram as follows:
The Sticker Company shipped 5,693,123,456 stickers last month. This month the company shipped 6,966,632,877 stickers. About how many more stickers were shipped this month than last month? A.11,000,000,000B.10,000,000,000C.3,000,000,000D.1,000,000,000
SOLUTION
To get how many more stickers were shipped last month than this month, we simply subtract this month's shipment from last month's shipment.
This becomes
[tex]\begin{gathered} 6,966,632,877-5,693,123,456 \\ =1,273,509,421 \end{gathered}[/tex]Therefore, the we have 1,000,000,000 to the nearest billion.
Option D is the correct answer
The table represents a continuous exponential function f(x). x 2 3 4 5 f(x) 9 3 1 one-third Graph f(x) and identify the y-intercept. 9 15 36 81
The exponential equation that represents the table is given as y = 81(3)^x.
What are exponential equations?Exponent-based equations in which the exponent or a portion of the exponent is a variable are known as exponential equations.
The standard exponential form is expressed according to the formula;
y= ab^x
Using the coordinate points (2, 9) and (3, 3) from the table, we can create simultaneous equation as shown;
9 = ab^2
3 = ab^3
Divide both equations
3/9 = ab^3/ab^2
1/3 = b^3/b^2
1/3 = b
Substitute b = 1/3 into any of the equations
3 = ab^3
3 = a(1/3)^3
3 = 1/27 a
a = 81
Determine the required equation
y = ab^x
y = 81(3)^x
This gives the required equation of the function.
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Answer: 81
Step-by-step explanation: Took the test & got it right :)
Write the equation of the line in the slope-intercept form which is parallel to
y = −2x +5 and passing through the point (1, −4)
The equation of the line that is parallel to the line y = −2x +5 and passing through the point (1, −4) is y = -2x - 2.
How to form an equation?Determine the known quantities and designate the unknown quantity as a variable while trying to set up or construct a linear equation to fit a real-world application.
The slope of two parallel lines is always the same.
The slope y-intercept form of an equation is y = mx + c where m is the slope.
Given the parallel equation y = -2x + 5 by compare slope = -2
Therefore,the equation will become y = -2x + c
Substitute,(1,-4) into this
-4 = -2(1) + c ⇒ c = -2
So equation converts as y = -2x - 2.
Hence "The equation of the line that is parallel to the line y = −2x +5 and passing through the point (1, −4) is y = -2x - 2".
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In the data set below, what are the lower quartile, the median, and the upper quartile? 30 45 49 50 63 75 75 77 84
In the data set {30,45,49,50,63,75,75,77,84} the lower quartile is 47, the median is 63 ,and the upper quartile is 76 .
In the question ,
the data set is given as {30,45,49,50,63,75,75,77,84}
as the data set has 9 terms , the median will be the central term that is 5th term .
so the median is 63 .
For finding the lower and upper quartile , we break the set into two half .
lower half = {30,45,49,50}
the lower quartile will be the central value ,that is (45+49)/2 = 47
so, the lower quartile(Q₁) is 47 .
upper half = {75,75,77,84}
the upper quartile will be the central value ,that is (75+77)/2 = 76
so, the upper quartile(Q₃) is 76 .
Therefore , in the data set {30,45,49,50,63,75,75,77,84} the lower quartile is 47, the median is 63 ,and the upper quartile is 76 .
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[please help asap tyyyyyyyy
Answer:
I got you, the answer is c+32.
Step-by-step explanation:
Hope this helps. Please mark branliest if right.
1. Priya's favorite kind of dark chocolate comes in a package shaped like a triangular. If the package can hold 144 cm of chocolate and the triangular faces have a base of 3 cm and a height of 4 cm, how tall is the entire package?
ok
Measures base = 3cm
height = 4cm
tall = x
volume = 144 cm^3
Volume = Area of the base * tall
Area of the base = (3 * 4) / 2 = 12/2 = 6 cm^2
144 = 6*x
x = 144/6
x = 24 cm
Result: The chocolate is 24 cm tall.
when the sun is 5 degrees above the horizon, how long will the shadow nof a 35ft tree be ?
tan 5 = x / 35
0.0874 = x / 35
cross- mulltiply
x = 35 x 0.0874
x = 3 . 059 = 3. 06 feet
What do you call each part of an expression that is separated by a + or a -?
p(x) = x^3 − 3x^2 − 10x + 24 , has a known factor of (x-4).
rewrite p(x) as the product of linear factors
The product of linear factors for p(x) is given as (x-4)(x^2+x-6).
What is the factor theorem?The factor theorem states that;
p(x) is divisible by x-a if and only if p(a)=0p(x) is divisible by x+a if and only if p(-a)=0From the question, given that x-4 is a factor of
p(x) = x^3 − 3x^2 − 10x + 24,
then it is divisible by x-4 and p(4)=0.
Dividing x^3 − 3x^2 − 10x + 24 by x-4 using the long division will result to another factor x^2+x-6 with a remainder of zero.
We can then conclude that (x-4)(x^2+x-6) is the product of linear factors for p(x).
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3w = 7.68 solve for w
Answer: w=2.56
Step-by-step explanation:
7.68/3=2.56
Simply this equation 2(x-7)=-4
Answer:
2x - 14 = -4
that is the equation simplified
Went to start the sum of -1 3/4 and 2 1/2 is the same as the difference between 2 1/2 and 1 3/4 is Gwen correct explain why or why not
The sum of -1 (3/4) and 2 (1/2) is the same as the difference between 2 (1/2) and 1 (3/4).
Firstly, we will convert the mixed fractions into improper fractions.
-1 and 3/4 = -7/4
2 and 1/2 = 5/2
Addition of -1 (3/4) and 2 (1/2) = -7/4 + 5/2 = -7/4 + 10/4 = 3/4
Difference between 2 and 1/2 and 1 and 3/4 = 5/2 - 7/4 = 10/4 - 7/4 = 3/4
As both the values equal to 3/4 , we can say that the addition of -1 and 3/4 and 2 and 1/2 is the same as the difference between 2 and 1/2 and 1 and 3/4.
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Rewrite without parentheses.
(4x²z² − 6x³)(-8xz¹)
-
Simplify your answer as much as possible
Answer:
Step-by-step explanation:-32x³z³+48x∧4z
Please help me with letter e
Height of the triangle is = 14m
Given,
Base of the triangle is 8m
Area of the triangle is = 56m^2
To find the height of the triangle.
Now, According to the question:
We know that
Area of the triangle is = 1/2 x b x h
where, b = base
h = height
Plug all the values of base and area in above formula:
56m^2 = 1/2 x 8m x h
56 x 2 / 8 = h
h = 14m
Hence, Height of the triangle is = 14m
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Use the graph to estimate the number of school newspapers distributed in the third month 700250400500
Given the graph, you can identify that x-axis represents the number of the corresponding month, and the y-axis represents the Number of Newspapers distributed (in hundreds).
You know these points:
[tex]\begin{gathered} (2,2) \\ (4,3) \end{gathered}[/tex]Notice that 200 school newspapers were distributed in the second month, and 300 school newspapers were distributed in the fourth month. Therefore, you can conclude that the number of school newspapers that were distributed in the second month must be between 200 and 300. You can set up that, for:
[tex]x=2[/tex]The y-value is:
[tex]y\approx2.5[/tex]Hence, the answer is: Second option.
Greg purchased furniture for his home. He purchased a chair for $320 and a lamp for $55. The store charges 7% sales tax. How much did Greg pay in tax?
Given:
Price of chair = $320
Price of lamp = $55
Total cost of furniture Greg purchased is = $320 + $55 = $375
Since the store charges a 7% sales tax, it means the amount Greg paid in tax is
7% of Total cost of furniture purchased.
Thus, the amount Greg paid in tax is:
[tex]\frac{7}{100}\times375=\text{ 0.07}\times375=26.25[/tex]The amount Greg paid in tax
The volume of a gas in a container varies inversely with the pressure on the gas. If a gas has a volumeof 230 cubic inches under a pressure of 8 pounds per square inch, what will be its volume if thepressure is increased to 18 pounds per square inch? (Round off your answer to the nearest cubic inch.)
Answer:
Explanation:
The volume of a gas in a container varies inversely with the pressure on the gas
Let V represent volume
Let P represent Pressure
Rewrting the statement above Mathematically:
[tex]\begin{gathered} V\text{ }\alpha\text{ }\frac{1}{P} \\ V\text{ = k}\frac{1}{P} \end{gathered}[/tex]when V = 230 in³
P = 8 lb/in³
Substitute the value of P and V in the equation in order to ger k:
Judy is 12 years old and is 8 years old mukta is 16 years old which of the following ratios best expresses the relationship between the ages 4 ratio 3 ratio to 2 ratio 3 ratio 4:3 ratio 2 ratio 4:3 ratio 4 ratio 2 ratio 4 ratio 3
Age of Judy = 12 yrs old
Age of x = 8 yrs old
Age of Mukta= 16 yrs old
Ratio between the 3 ages = 12 : 8 : 16
Since all the three numbers are divisible by 4
Therefore the ratio comes out to be 3 : 2 : 4 or 3 ratio 2 ratio 4
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Answer:
= 12 : 8 : 16
all the three numbers are divisible by 4
the ratio is 3 : 2 : 4
Does anyone know how to write a linear equation to find the length and width of a perimeter? Ex...
Write a linear equation to represent the given problem and then solve the problem.
The perimeter of a rectangle is 150 cm. The length is 15 cm greater than the width. Find the dimensions.
The linear equation that represents the problem is 4w + 30 = 150.
The dimension(width and length) of the rectangle is 30 cm and 45 cm .
How to find the dimensions of a rectangle?A rectangle is a quadrilateral with 4 sides.
Opposite sides of a rectangle are equal to each other.
Opposite sides of a rectangle are parallel to each other.
Therefore,
perimeter of a rectangle = 2(l + w)
where
l = lengthw = widthHence, the perimeter of the rectangle is 150 cm. The length is 15cm greater than the width.
Therefore,
perimeter of rectangle = 150 cm
l = 15 + w
Hence,
150 = 2(15 + w + w)
150 = 2(15 + 2w)
150 = 30 + 4w
Therefore, the linear equation to represent the problem is 4w + 30 = 150.
Let's solve for the dimension of the rectangle.
4w + 30 = 150.
4w = 150 - 30
4w = 120
w = 120 / 4
w = 30 cm
L = 15 + 30 = 45 cm
Therefore,
length = 45 cm
width = 30 cm
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