Answer:
2
Step-by-step explanation:
f(-3) represents f(x) evaluated at x=3.
[tex]f(-3)=(-3)^2+2(-3)-1 \\ \\ =9-6-1 \\ \\ =2[/tex]
PLEASE HELP!!!!
Groups of students are measuring the masses of several rocks. They have a scale that can show readings in pounds or kilograms. The teacher requires that they all make their measurements in kilograms.
Why would the teacher make a decision like this?
Choose 1 answer:
(Choice A)
A kilogram is larger than a pound, so the scale could measure more massive rocks.
(Choice B)
Accurate measurements cannot be made in pounds.
(Choice C)
Pounds cannot be converted to kilograms.
(Choice D)
It is easier to compare measurements when using the same unit system.
The teacher will make a decision like this because D. It is easier to compare measurements when using the same unit system.
How to explain the information?It should be noted that in this case, the students are measuring the masses of several rocks and they have a scale that can show readings in pounds or kilograms. The teacher requires that they all make their measurements in kilograms.
It should be noted that the teacher will make a decision like this because it is easier to compare measurements when using the same unit system.
Therefore, the correct option is D.
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Which is the graph of the parent function f(x) = |x|?
A.
-10
10
-10
10
The correct option is third graph.
What is graph?Graph is a mathematical representation of a network and it describes the relationship between lines and points.
We have the function
f(x)= |x|
The third graph represent the f(x)= |x|.
This is because the absolute value equations grow at a constant rate.
Also, they are absolute so they are also positive.
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Translate the English phrase into an algebraic expression: the quotient of y and 5.
The expression represented by the quotient of y and 5 is y/5
What are expressions?Expressions are mathematical statements that are represented by variables, coefficients and operators
How to translate the algebraic expression?The expression is given as
the quotient of y and 5.
Quotient means divide
So, we have
the quotient of y and 5 => y/5
Hence, the expression represented by the quotient of y and 5 is y/5
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One number is three less than a second number. Four times the first is 10 more than 6 times the second. Find the
numbers.
***
Step-by-step explanation:
x = y - 3
4x = 6y + 10
let's multiply the first equation by -4 and then add both equations :
-4x = -4y + 12
4x = 6y + 10
--------------------
0 = 2y + 22
2y + 22 = 0
2y = -22
y = -22/2 = -11
x = y - 3 = -11 - 3 = -14
Simplify (c4)−5.
1 over c
c
1 over c raised to the twentieth power
−c20
The expression is simplified to 1 over c raised to the twentieth power. Option C
What are index forms?The index form of a number can be defined as the number written as an exponential expression.
It is expressed as a single number raised to another number.
Another name for index form is standard form or scientific notation.
Index notation is also a way of representing variables or constants multiplied by themselves a number of times.
Example of index forms are:
a²
b³
c²
From the information given, we have to simplify
(c^4)^−5
Using the rule of indices, we have to multiply the powers
c^-20
Thus, the expression is simplified to 1 over c raised to the twentieth power. Option C
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Answer:
1 over c raised to the twentieth power
Step-by-step explanation:
four times the difference of y and five
Answer: 4(y-5).
I don't exactly know what you want, but I assumed you wanted me to put it in number form.
Here you go :D
(f) Is it true that a function that is always
increasing will have an inverse that is always
decreasing? Support your yes or no answer.
Answer: yes it is true .
Step-by-step explanation:
If the function f(x) is either always increasing or always decreasing then it has an inverse function f –1(x). The Range of f(x) becomes the Domain of f –1(x). We find the equation of the inverse by solving the equation y = f(x) for x.
help asap please! 100 points!
Answer: u have to subtract 78-32 and divide by 100
Step-by-step explanation:
Ben borrowed 20,000 pesos from Glennand promised to pay him after 3 years with and interest of 5% compounded annually. On the 3rd year, exact date of his payment, Ben requested to extend his deadline for another 2 years. Glenn being a considerate man, agreed but under the new condition that from then on, the interest shall be 6% compounded semi-annually. Two years later, on exact deadline, Ben asked Glenn, again, for 1 more year. He also borrowed an additional 12,000 pesos with 2% interest compounded quarterly from Glenn. He promised that he will pay everything (principal and interest) on the exact deadline. How Much will Ben pay in total?
Answer:
pay him after 3 years with and interest of 5% compounded annually. On the 3rd year, exact date of his payment, Ben requested to extend his deadline for another 2 years. Glenn being a considerate man, agreed but under the new condition that from then on, the interest shall be 6% compounded semi-annually. Two years later, on exact deadline, Ben asked Glenn, again, for 1 more year.
Step-by-step explanation:
manuel hace los 3/7 de la tarea mientras su compañero csarlos hace solamente los 4/5 de lo que hizo manuel. que parte de la tarea hizo carlos
The fraction is 12/35.
How to compute the fraction?From the information, it was stated that Manuel does 3/7 of the task while Carlos did 4/5 of what Manuel did.
Therefore, the fraction that was done by Carlos will be:.
= 4/5 × 3/7
= 12/35
The fraction is 12 / 35.
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Find the area of the figure.
9.8 yd
14.1 yd
Answer:
138.18 square yards
Step-by-step explanation:
Assuming the figure is a rectangle because it isn't said that it is otherwise, you would multiply the numbers together and get 138.18 square yards.
What is 20•0 only wrong answers
Answer:37
Step-by-step explanation:
if 125% of a number is 750 what is 65% of the number
Answer:600
Step-by-step explanation:
We have, 125% * x = 750
Multiplying both sides by 100 and dividing both sides by 125
we have x = 750 * 100/125
you then get X=600
Answer:x=600
Step-by-step explanation: Multiplying both sides by 100 and dividing both sides by 125
A delivery person has two different delivery routes that he follows the first route is 20.75 miles long and the second is 30.25 miles long he travels each route 4 times a week after 7 weeks how many total miles has he traveled
Answer:
Step-by-step explanation:
20.75 miles x 4 = 83 miles
30.25 miles x 4 = 121 miles
Now take the 83 and multiply by 7 for the 7 weeks and multiply the 121 also by 7.
83 x 7 = 581
121 x 7 = 847
Now add the 581 miles with the 847 to get the total miles travelled.
581+847 = 1428 Miles
Answer: The delivery person travels 1428 miles
The equation (-2) (6x - 5)
The integer solution is
The fraction solution is
Submit Question
0 has two solutions. One is an integer, the other is a fraction.
Answer:
Step-by-step explanation:
Givens
(x - 1)(6x - 5) = 0
Solution
Either one of these can be made into 0 by solving the binomials in the brackets.
x - 2 = 0 Add 2 to both sides
x -2 +2= 0+2 Combine
x = 2
6x - 5 = 0 Add 5
6x -5+5 = 0+5 Combine
6x = 5 Divide by 6
6x/6=5/6
x = 5/6
Answer
Integer Answer: x = 2
Fractional Answer x = 5/6
Triangle ABC is similar to triangle DEF.
Side AB is the longest side of ABC and measures 12 cm.
Side DE is the longest side of DEF and measures 8 cm
Scale factor that takes triangle ABC to triangle DEF = 2/3
Scale factor that takes triangle DEF to triangle ABC = 3/2
How to Find the Scale Factor?Scale factor = side length of new figure/corresponding side length of original figure.
Given:
AB = 12 cmDE = 8 cmTriangles ABC and DEF are similar triangles.Scale factor that takes triangle ABC to triangle DEF = 8/12
Scale factor that takes triangle ABC to triangle DEF = 2/3
Scale factor that takes triangle DEF to triangle ABC = 12/8
Scale factor that takes triangle DEF to triangle ABC = 3/2
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Randy had $18.80 in his wallet. He spent $1.75 on a drink. How much does he have left? (a) Estimate the answer by rounding to the nearest whole numbers before subtracting (b) Will your estimate be high or low? Explain. (c) Find the difference. Show your work
a. My estimate of the answer by rounding to the nearest whole numbers before subtracting is $19.00 and $2.00
b. Given the difference of the estimate is 19-2= $17 and the difference of the original values is 18.80-1.75=-$17.05, then the estimate is low.
c. The difference of the estimate is $17
Calculations and ParametersGiven that:
Randy had $18.80 in his wallet.
He spent $1.75 on a drink
If we round $18.80 to the nearest whole number, it would be $19.00
Rounding off $1.75 to the nearest whole number, it would be $2.00
The difference of the estimate is 19-2= $17 and the difference of the original values is 18.80-1.75=-$17.05, then the estimate is low.
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find the general form of the quadratic function with the vertex (1,4) and a point on the graph (-3,20)
The general form of the quadratic function is x² - 2 · x - y + 5 = 0.
How to find the general form of the quadratic function
In this question we must derive the equation of the parabola in vertex form, whose description is shown below:
4 · p · (y - k) = (x - h)² (1)
Where:
(h, k) - Coordinates of the vertex.(x, y) - Coordinates of a point of the parabola.p - Distance from vertex to focus.If we know that (h, k) = (1, 4) and (x, y) = (- 3, 20), then the distance from vertex to focus is:
p = (x - h) / [4 · (y - k)]
p = (- 3 - 1)² / [4 · (20 - 4)]
p = (- 4)² / 64
p = 16 / 64
p = 1 / 4
Then, the equation of the parabola in vertex form is y - 4 = (x - 1)². And now we find the general form of the quadratic formula, that is:
A · x² + B · x + C · y + D = 0 (2)
Then, we proceed to obtain the general form:
y - 4 = (x - 1)²
y - 4 = x² - 2 · x + 1
x² - 2 · x - y + 5 = 0
The general form of the quadratic function is x² - 2 · x - y + 5 = 0.
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A number times its opposite, increased by seven
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Decide which of the two given functions is
linear and find its equation
X 10 1 2 3 4
f(x) 6 10 14 18 22
g(x) 8 10 12 16 22
The function f(x) represents the linear relationship between f(x) and x because the slope remains constant.
What is a linear equation?A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.
The linear equation is given as,
y = mx + c
Where m is the slope of the line and c is the y-intercept of the line.
The slope remains constant throughout the data.
Then the slope of the function f(x) at different stages is given as,
⇒ (14 - 10) / (2 - 1)
⇒ 4
⇒ (22 - 18) / (4 - 3)
⇒ 4
Then the slope of the function g(x) at different stages is given as,
⇒ (12- 10) / (2 - 1)
⇒ 2
⇒ (22 - 16) / (4 - 3)
⇒ 6
The function f(x) represents the linear relationship between f(x) and x because the slope remains constant.
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Tony buys a washing machine.
20% VAT is added to the price of the washing machine.
Tony then has to pay £480
What is the price of the washing machine with no VAT added?
Total marks: 2
Answer:
384
Step-by-step explanation:
480x20%=96
480-96=384
3. What is the value of the 4 in 279,045,628,312? Answer
Answer:
10 million
Step-by-step explanation:
The value is how many time i did Your mom
6x+4y-3=0 in standard form
The price on the gas pump is 1/2 the actual price. what is the actually price if the pump registers $6.54
Answer:
$13.08
Step-by-step explanation:
If the price on pump is half the actual price, we just need to double what it says
So
$6.54 x 2 = $13.08
Complete the statement with the correct day. The table shows the amount of time Mrs. Mayes spent word processing each day for four days. Day Time in Hours Monday 5 Tuesday 5 Wednesday 5 Thursday 5 Mrs. Mayes spend the least time working on noselection .
Based on the calculations, Mrs. Mayes spent the least time working on Wednesday.
What is a fraction?A fraction can be defined as a numerical quantity which isn't expressed as a whole number. This ultimately implies that, a fraction is simply a part of a whole number.
The parts of a fraction.In Mathematics, a fraction comprises two (2) main parts and these include the following:
NumeratorDenominatorIn order to determine when Mrs. Mayes spent the least time working, we would convert the given mixed fractions into a proper fraction and then decimal. Lastly, we would then compare as follows:
Monday = 5 2/5 = 27/5 = 5.4.
Tuesday = 5 5/8 = 45/8 = 5.625.
Wednesday = 5 3/8 = 43/8 = 5.375.
Thursday = 5 4/5 = 29/5 = 5.8.
Based on the calculations above, we can reasonably infer and logically deduce that Mrs. Mayes spent the least time working on Wednesday.
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Complete Question:
The following table shows the amount of time Mrs. Mayes spent word processing each day for four days. On which day did Mrs. Mayes spend the least time working?
What did the Nuremberg Laws do:
A. Kept Jews from being German citizens and marked them with a Star of David
B. Establish the policy of mass-murder against the Jews
C. Moved Jews from occupied countries to ghettos
D. Prevented Jews from being teachers or judges
A
Or maybe something else is not sure
Solve the word problem below using the steps given in the lesson.
Skylar needs $56 to buy a new video game. If he doubles the amount of money he has now, he will have enough to buy
the game with $8 left over.
How much money does Skylar have right now?
PLEASE PLEASE HELP ME!!!!
Answer:
$32
Step-by-step explanation:
56+8=64
64/2=32
Maia was baking cupcakes for a part.my. She mixed 4 drops of red food coloring for every 6 drops of yellow food coloring to dye her icing orange. circle the ratios of food coloring drops that would create the same orange and justify your choices
Choice 1- 2 red:3 yellow
Choice 2- 24red :26yellow
Choice 3- 40 yellow:100 red
Choice 4- 28 red:42 yellow
Choice 5- 44 red:66yellow
The ratios of the food coloring drops that would create the same orange icing are
Choice 1- 2 red:3 yellowChoice 4- 28 red:42 yellowChoice 5- 44 red:66yellow.What are ratios?Ratios are quantitative measures of how much a variable is contained in another.
Ratios show numerical relationships between quantities.
Ratios are expressed as decimals, fractions, and percentages.
Data and Calculations:The mixture of red coloring = 4 drops
The mixture of yellow coloring = 6 drops
The ratio of red to yellow coloring = 4:6 or 2:3
Choice 1- 2 red:3 yellow = 2:3 (already simplified)
Choice 4- 28 red:42 yellow = 2:3 (when simplified by 14)
Choice 5- 44 red:66yellow = 2:3 (when simplified by 22)
Thus, the ratios of the food coloring drops that would create the same orange icing are Choices 1, 4, and 5.
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You deposit $2500 in an account earning 3% interest.
Find the amount in 20 years if the money compounds ANNUALLY.
Answer:
$4,515.28
Step-by-step explanation:
In 20 years you will have $4,515.28 If there is a 3% interest rate
Points S, T, and P lie on a number line. Their coordinates
are 0, 1, and x, respectively. Given SP = PT, what is the value of x?
The value of x for which the numerical length of SP is equal to PT is 1/2.
What is Number line?Number line is a line on which numbers are marked at intervals, used to illustrate simple numerical operations.
Given are the coordinates of three points S,T and P on number line. Also the numerical length of SP is equal to PT. From the question, we can write -
→ Point S at 0.
→ Point T at 1.
→ Point P at x.
It is given that -
SP = PT
Distance between S and P = Distance between P and T.
x - 0 = 1 - x
2x = 1
x = 1/2
Therefore, the value of x for which the numerical length of SP is equal to PT is 1/2.
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