The composition f(4) has a value of -27
How to evaluate the function composition?The definition of the functions is given as
f(x) = -2x^2 + 5
Rewrite the above function properly
So, we have the following representation
f(x) = -2x² + 5
To find the function f(4), we set the value of x in the equation f(x) = -2x² + 5
This is represented by
Calculate f(x), when x = 4
Substitute 4 for x in the equation f(x) = -2x² + 5
So, we have the following equation
f(4) = -2(4)² + 5
Evaluate the exponents
This gives
f(4) = -2 * 16 + 5
Evaluate the products
This gives
f(4) = -32 + 5
Evaluate the sum
f(4) = -27
Hence, the value of the function is -27
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Select the expression that is equivalent to (x - 1)².
OA. 2²-2x+1
OB. x² - 2x+2
OC. x²-x+1
OD. x²-x+ 2
SUBMIT
Answer:
hi, I think the answer is x^2-2x+1 I don't see that option there but I'm guessing that was suppose to be option OA.
explanation:
(x-1)^2 is basically
(x-1)×(x-1)
rest of the explanation is in the photo
hope this helps
PLEASE HELP ME I NEED HELP ADDMEDIATLY
Store A sells 2 bags of chips for $2.50. Store B sells 3 bags of chips for $3.25. Which store offers the better deal? Show your work.
Answer:
Store B
Step-by-step explanation:
Store A: $2.50 ÷ 2 = $1.25
Store B: $3.25 ÷ 3 = $1.08 (to nearest cent)
Store B offers the better deal.
Help please willing to give brainliest badge an points
2. Find the missing digits of the following UPC code:
55X200100102
The missing digits of the following UPC code 55X200100102 is 3.
What is UPC code?Add three to the total of the digits in the first, third, fifth, seventh, ninth, and eleventh positions. The total of the digits in the second, fourth, sixth, eighth, tenth, and twelveth positions should be added to this. The code is legitimate and the computer will accept it if the outcome is a multiple of 10. Add the values of the 1, 3, 5, 7, 9, and 11 odd digits together. Multiply that amount by 3. Add up the values of all the even digits (digits 2, 4, 6, 8 and 10). To the value from step 2, add this total. Take the figure in Step 4. Thus, 3 is the check digit.
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4. Combine the two equations to eliminate one of the variables, and then solve for the other. (3 points: 1 for eliminating one variable, 1 for the answer, and 1 for showing your work)
The two equations combined is
3x + y = 2010x + y = 55Eliminating one variable gives
7x = 35the variables are
x = 5y = 5How to eliminate one variable in the equation formedThe equation formed is a consistent independent set of equation with two variables solved by elimination method as follows
Elimination of one of the variable
3x + y = 20 (1)
10x + y = 55 (2)
subtracting (1) from (2)
10x - 3x + y - y = 55 - 20
7x + 0 = 35
7x = 35
x = 5
substituting to find y
3x + y = 20
3 * 5 + y = 20
15 + y = 20
y = 20 - 15
y = 5
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3f + -4 = 0 solve for f
Answer:
f = 4/3
f = 1.3
f = 1 1/3
Step-by-step explanation:
Move all terms that don't contain f to the right side and solve.
Use long division to divide.
(x5 + 2x12x² - 5x - 12) = (x² - 3)
The reminder of the equation using the long division method is 70X - 12.
long division method :
Four main steps to solving this problem:
Divide.Multiply.Subtract.Drop down the last digit.[tex]x^2 - 3$\overline{)x^5 + 24x^3- 5x - 12}$( x^3 + 25x\\\\[/tex]
x₅ + 3 x³
(-) (-)
25x³ - 5x - 12
25x³ - 75x
(-) (+)
70x - 12
here
divisor - (x² - 3)
dividend - (x⁵ + 2x12x² - 5x - 12)
quotient - (x³ +25x)
the given question is incomplete the correct question is
Use long division to divide.
(x⁵ + 2x12x² - 5x - 12) / (x² - 3)
The reminder of the equation using the long division method is 70X - 12.
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4. Which statement about the lines below is true?
7x=-21 and 11y = 55
Select all that apply.
A. Line 11y = 55 is vertical.
B. Line 7x=-21 is vertical.
C. For both lines, all points on the line have an x- and a y-coordinate.
D. For either line, one of the coordinates of all of the points is always the same value.
The statements about lines that is true are
A. Line 11y = 55 is vertical.
C. For both lines, all points on the line have an x and a y-coordinate.
D. For either line, one of the coordinates of all of the points is always the same value.
Lines given to us are
1. 7x = -21
x = -3
2. 11y = 55
y = 5
Now let us check the statements.
A. Line 11y = 55 is vertical.
Yes, it is absolutely true as y = 5 will be a straight vertical line from origin of the graph (0 , 0) to (0 , 5)
B. Line 7x= -21 is vertical.
No, this statement is not true as this will be a horizontal line from (0 , 0) to (-3 , 0)
C. For both lines, all points on the line have an x- and a y-coordinate.
Yes, for both the lines there will be both x and y coordinate as every point on graph has x and y coordinates to represent them.
D. For either line, one of the coordinates of all of the points is always the same value.
Yes, this statement is true as for first line x coordinate is a constant value of 0 and for second line y is a constant value of 0.
Therefore the statements about lines that is true are A, C and D.
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how to solve this proportion
Answer:
Hope the picture will help you
16/5 x 25/8 multiply each of the following fractions
The box plot shows the times for sprinters on a track team.
A horizontal number line starting at 40 with tick marks every one unit up to 59. The values of 41, 43, 49.5, 56, and 58 are all marked by the box plot. The graph is titled Sprinters' Run Times, and the line is labeled Time in Seconds.
Which of the following is the five-number summary for this data?
The five number summary from the given box plot is presented as follows:
Minimum value: 41.First quartile: 43.Median: 49.5.Third quartile: 56.Maximum value: 58.What does a box-and-whisker plot shows?A box and whisker plot shows five things of a distribution, listed as follows:
The minimum value of the data-set.The first quartile, which is the median of the bottom 50% of measures in the data-set, hence it is the value that 75% of the measures are greater than.The median, which is the middle-value of the data-set, meaning that 50% of the data-set is less than the median and 50% is greater.The thid quartile, which is the median of the upper 50% of the measures in the data-set, hence it is the value that 75% of the measures are lesser than.The maximum value of the data-set.These values are the values marked from left to right on the box plot, from the minimum value to the maximum value, passing through the first quartile, the median and the third quartile, and form the five number summary.
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What is the answer?? 3(b-5)<-2b
Answer:
b < 3
Step-by-step explanation:
3 ( b - 5 ) < - 2b
3 ( b ) - 3 ( 5 ) < - 2b
3b - 15 < - 2b
3b + 2b < 15
5b < 15
b < 15/5
b < 3
Alan has 229 songs on a playlist. He's categorized them in the following manner: 11 rock, 21 Latin American, 46 gospel, 30 country, 39 rap, 25 classical, and 57 pop. If Alan begins listening to his playlist on shuffle, what is the probability that the first song played is a rock song?
=================================================
Work Shown:
11 rock songs
229 total
11/229 is the probability of randomly selecting a rock song. The fraction doesn't reduce since 11 and 229 have no factors in common (other than 1).
If you wanted to convert to decimal form, then 11/229 = 0.04803 approximately. This converts to about 4.803%
find the percentage increase if a number 3/8 increase to 3/4
Answer:
37,
Step-by-step explanation:
What is [tex]\frac{1000}{\frac{4}{3}\pi }[/tex]
The result of the expression as given in the task content is; 750/π.
What is the result of the quotient?It follows from the task content that the result of the division operation as given in the task content is to be determined.
Given the expression; 1000 ÷ (4/3)π
The expression can therefore be rewritten as follows;
1000 × (3/4) π
Hence, we have;
3000/4π
By further simplifying the expression; we have;
750/π
Hence, the result of the division as given in the task content is; 750/π.
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-8b+ 2 + 6b = -3b + 7
Answer:
b = 5
Step-by-step explanation:
Add 8b to both sides :
2+6b = 5b+7
Subtract 5b from both sides :
2+b = 7
Subtract 2 from both sides :
b = 5
Let's check :
-8(5) + 2 +6(5) = -3(5) + 7
-40 + 2 + 30 = -15 + 7
-38 + 30 = -8
-8 = -8
Correct
Hope this helped and have a good day
Answer:
b = 5
Step-by-step explanation:
to solve this you must first combine like terms
-8b + 2 + 6b = -3b + 7
combine (add) -8b and 6b
that makes -2b
-2b + 2 = -3b + 7
now add 3b to both sides to put b on one side
-2b + 2 + 3b = -3b + 3b + 7
b + 2 = 7
now subtract 2 to both side
b + 2 - 2 = 7 - 2
b = 5
that is your answer
A man is paid N12,000 for 4 days. Find his pay for: (i) 2 days
Answer:
N6000
Step-by-step explanation:
4 days 12000
2 days. ?
12000*(2/4) = 6000
This is a statistics/applications question
Using percentages, the answer to all the subparts are shown:
(A) % who scored between 46 and 106: 67% approx(B) % who scored less than 46: 17% approx(C) % who scored between 61 and 91: 33% approx(D) % who scored between 76 and 121: 50%What are percentages?The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true. By dividing the value by the entire value and multiplying the result by 100, one may determine the percentage. The percentage calculation formula is (value/total value)100%.So, calculate the percentages as follows:
(A) % who scored between 46 and 106:
Total marks: 121 - 30 = 90Students between 46 and 106: 106 - 46 = 60Then,
60/90 × 1002/3 × 10066.66Rounding off: 67% approx
(B) % who scored less than 46:
Total marks: 121 - 30 = 90Students who scored less than 46: 46 - 31 = 15Then,
15/90 × 10016.66Rounding off: 17% approx
(C) % who scored between 61 and 91:
Total marks: 121 - 30 = 90Students between 61 and 91: 91 - 61 = 30Then,
30/90 × 1001/3 × 10066.6633.33Rounding off: 33% approx
(D) % who scored between 76 and 121:
Total marks: 121 - 30 = 90Students between 76 and 121: 121 - 76 = 45Then,
45/90 × 10050%
Therefore, using percentages, the answer to all the subparts are shown:
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Finding a missing side length given two similar triangles
Helppp meee !!
It’s due today !!
Answer:
-8
Step-by-step explanation:
i think
Answer:
Your answer is -8
Step-by-step explanation:
Convert 2 7/12 to a percent. Round to the nearest tenth of a percent.
Answer:
2.6
Step-by-step explanation:
2 7/12
12x2=24
24+7=31
31/12=2.583333
Answer:
its 262.5%
Step-by-step explanation:
Jason watched a caterpillar move 10 feet in 2 minutes. Jason says that the caterpillar's unit rate is 0.2 feet per minute, Is Json correct? Explain.
Put these numbers in order from smallest to largest.
Smallest
-75
-28
-3
13
103
341
619
Largest
Answer:
Step-by-step explanation:
Here by using the ascending property:
-75, -28, -3, 13, 103, 341, 619
Replace the _ with the symbol that makes a true sentence 2/15_0.83
Answer:
See below
Step-by-step explanation:
2 /1 5 = .1333
so 2/15 < .83
The letter A B C D
represents the location of –1.5 on the number line.
Answer:
B
Step-by-step explanation:
Susie is visiting the U.S. from Mexico. One day she stopped by a market and found a stall selling tomatoes for 0.83 dollars per pound. If 1 peso was worth 0.053 dollars that day, how much did the tomatoes cost in pesos per kilogram?
First fill in the two blanks on the left side of the equation using two of the ratios. Then write your answer rounded to the nearest hundredth on the right side of the equation.
The value of given ratio is 34.45 peso/kg as the given ratio are : 1 peso/0.053 dollar, 0.053 dollar/1 peso, 1 kg/2.2 lbs, 2.2 lbs/1 kg, 0.83 dollar/1lbs.
What is ratio?An ordered pair of numbers a and b, written as a / b, is a ratio if b is not equal to 0. A proportion is an equation that sets two ratios at the same value. For instance, you could write the ratio as follows: 1: 3 if there is 1 boy and 3 girls (for every one boy there are 3 girls). The ratio can be defined as the number that can be used to represent one quantity as a percentage of another. Only when the two numbers in a ratio have the same unit can they be compared. Ratios are used to compare two things.
Given ratio,
1 peso/0.053 dollar
0.053 dollar/1 peso
1 kg/2.2 lbs
2.2 lbs/1 kg
0.83 dollar/1lbs * 2.2 lbs/1 kg* 1 peso/ 0.053 dollar = 34.45 peso/kg
The value of the given ratio is 34.45 pesos per kilogram because the ratios are 1 peso/0.053 dollar, 0.053 dollar/1 peso, 1 kg/2.2 lbs, 2.2 lbs/1 kg, 0.83 dollar/1lbs.
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Have someone read this to you while your eyes are closed and answer the question in the end. 8 x 5 - 23 + 21 x 6 + 100 - 20 x 5 = ????
Answer:
143
Step-by-step explanation:
AB=18cm
BC=18cm
AC=16cm
What is the corresponding angles and sides?
The angle measurements are 5.38°, 87.31° and 87.31°.
What is triangle?
A triangle is a polygon with three edges and three vertices. The sum of all the angles of a triangle is 180 degrees. Mathematically -
∠x + ∠y + ∠z = 180°
The sum of two sides of a triangle is greater then the third side. Mathematically -
a + b > c
There are different types of triangles such as -
equilateral triangle , scalene triangle , isosceles triangle etc.
Given are the sides of triangle as AB = 18cm, BC = 18cm, AC = 16cm.
The given triangle is a isosceles triangle with two sides equivalent. Angles opposite to these sides will be equal. So, we can write -
2∠x + ∠y = 180°
from the figure, it can be seen that angle B is 5.38 degrees.
2∠x + 5.38 = 180
2∠x = 174.62
∠x = 87.31°
Therefore, the angle measurements are 5.38°, 87.31° and 87.31°.
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Bookwork code: K45 not allowed
The number line below shows information about a variable, p.
Select all of the following values that p could take:
-4, 0, -6, 5, -1, -2.5
T
T
р
-5 -4 -3 -2 -1 0 1 2 3 4 5
✓ Scroll down
A number line is a simple graph with numerical increments spaced evenly. The numbers on the line determine how the number on the line can be answered. The number's application is determined by the question to which it corresponds, such as when plotting a point.
What is meant by number line?A number line is a horizontal line with evenly spaced numerical increments. The numbers on the line will determine how to answer the number on the line. The number's use is determined by the question that goes with it, such as plotting a point.
The number line is a straight line with divisions at equal intervals, similar to a scale. You can choose any point as "0," and all positive numbers will be to the right of the "0," and all negative numbers will be to the left of the "0." Q.
Therefore,
The third number line correctly provides the solution to the statement -5 + (-4).Plot 1's solution is (-5) + (-2) because both arrows point 4 units to the left.Plot 2's solution is (5 + 2) because both arrows point 4 units to the right.Plot 3's solution is (5) + (2) because one arrow points 4 units to the left and the other points 4 units to the right.The plot 4 solution is (5 + 2) because one arrow points 4 units to the left and the other points 8 units to the right.As a result, the third number line is the one that shows the solution 5 + (-4).To learn more about number line refer
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Lance Whittingham IV specializes in buying deep discount bonds. These represent bonds that are trading at well below par value. He has his eye on a bond issued by the Leisure Time Corporation. The $1,000 par value bond pays 4 percent annual interest and has 18 years remaining to maturity. The current yield to maturity on similar bonds is 12 percent. Use Appendix B and Appendix D for an approximate answer but calculate your final answer using the formula and financial calculator methods.
a. What is the current price of the bonds?
b. By what percent will the price of the bonds increase between now and maturity? (Round "PV Factor" to 3 decimal places, intermediate and final answers to 2 decimal places. Omit the "%" sign in your response.) Price increases by %
a) The current bond price (present value) is $420.03.
b) The percentage by which the price of bonds will increase between now (current) and maturity (18 years) is 138%.
How is the bond price determined?The current bond price represents its present value.
The present value is the discounted future cash inflows.
We can compute the present value using an online finance calculator as follows:
N (# of periods) = 18 years
I/Y (Interest per year) = 12$
PMT (Periodic Payment) = $40 ($1,000 x 4%)
FV (Future Value) = $1,000
Results:
PV = $420.03
Sum of all periodic payments = $720.00
Total Interest = $1,299.97
Percentage increase in bond price = [(Future value - Present value)/Present value x 100]
= 138% [($1,000 - $420.03)/$420.03 x 100]
Thus, the present value of the bonds $420.03 will grow by 138% at maturity.
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