Answers
Answer:
-49.
Step-by-step explanation:
Convert to vertex form:
f(x) = -7x^2 - 14x - 56
= -7(x^2 + 2x + 8)
= -7 [(x + 1)^2 - 1 + 8)
= 7(x + 1)^2 - 49
- so the maximum value is -49.
Related Questions
Lori finished a bike race with a time of 3747 minutes. Mike finished the race with a time of 38.39 minutes. What is the difference in the finish times of Lori and Mike?
Answers
Answer: 3708.61
Step-by-step explanation:
The first thing I did was subtract, 3747
- 38.39
-----------------------
3708.61
*when you hear the word (difference) you will know to subtract.
difference: Difference in math is the result of one of the important mathematical operations, which is obtained by subtracting two numbers. It tells us how much a number differs from the other. The aim of finding the difference in math is to tell how many numbers lie between the two given numbers.
To find the difference between two numbers, subtract the number with the smallest value from the number with the largest value. The product of this sum is the difference between the two numbers. Therefore the difference between 45 and 100 is 55.
5. Audrey baby-sat for 36 hours over two weeks. She earned $4.20 an hour. What was he
gross pay?
Answers
mx + b for m=2 x=8 b=7
Answers
Lineal function
y = mx+b
Replacing with the values given:
y = 2x+7
y=2(8)+7
y= 23
n(x)=-1-x+4 when x=-2, 0, 5
Answers
The value of the function n(x) = -1 -x + 4 when x = -2,0, and 5 are respectively.
Function:
A function is defined as a relationship between a set of inputs having one output each.
It can be represented as f(x).
Given,
Here we have the function
n(x) = -1 -x + 4
And we need to find the value of the function when x takes the values -2, 0 and 5.
To solve this one, then we have to put the value of x on the function and then we have to simplify it in order to get the value of the function.
For that first we have to put the value of x = -2, then we get,
n(-2) = -1 - (-2) + 4
n(-2) = -1 + 2 + 4
n(-2) = -1 +6
n(-2) = 5
Now we have to apply the value of x as 0, then we get the value of function as,
n(0) = -1 - 0 + 4
n(0) = -1 + 4
n(0) = 3
Finally we gave to apply the value of x as 5, then we get the value of n(5) as,
n(5) = -1 - 5 + 4
n(5) = -6 + 4
n(5) = -2
Therefore, the resulting values are 5, 3 and -2.
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What is the slope of line a?
-4
-1/4
4
1/4
Answers
The slope of the given line a is found as 4.
What is described as the slope?A line's slope is the ratio of how much y increases even though x increases by some amount. The slope of a line indicates how steep it is, or how far y increases because x increases. The slope is stable (the same) throughout the line.If y is the vertical path on a graph and x is the horizontal direction, therefore this formula is: Slope = (Change in y)/(Change in x)For the given question;
The graph of the given line a is given.
Select any two points from the graph lying on the line.
(x, y) = (1, 1)
(x, y) = (2,5)
Thus, the slope will be;
Slope = m = (y - y)/(x - x)
m = (5 - 1)/(2 - 1)
m = 4/1
m = 4
Thus, the slope of the given line a is found as 4.
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For the right triangles below, find the exact values of the side lengths a and h. If necessary, write your responses in simplified radical form. pad 309 8 Х X S 45° 0 60° 3 h
Answers
First Triangle:
This is a special right-angled triangle and is known as 45°-45°-90° triangle
To solve for any side length, we can use the following procedure.
As you can see, the sides opposite to the 45° are equal and in this case, both are 3
Then the side opposite 90° will be
[tex]3\sqrt[]{2}[/tex]Therefore, the side a = 3√2
Second Triangle:
This is a special right-angled triangle and is known as the 30°-60°-90° triangle.
To solve for any side length, we can use the following procedure.
As you can see, the side opposite the 30° is the smallest.
The side opposite the 60° is 2 times the side 30°
The side opposite the 90° is √3 times the side 30°
For the given case, we want to know the side opposite of side 30°
We are given the side opposite the 60° that is 8
[tex]\begin{gathered} 2h=8 \\ h=\frac{8}{2} \\ h=4 \end{gathered}[/tex]Therefore, side h = 4
In a certain state's lottery, 22 balls numbered 1 through 22 are placed in a machine and 5 of them are drawn at random. If the 5 numbers drawn match the numbers that a player had chosen, the player wins $30,000. In this lottery, THE ORDER THE NUMBERS ARE DRAWN DOES MATTER. Compute the probability that you win the prize if you purchase a single lottery ticket.
Answers
The probability that you win a prize is 0.00003797372
How to determine the probability that you win a prize?From the question, we have the following parameters:
Sample Space = 1 to 22
This means that
Sample size, n = 22 i.e. the count of numbers from 1 to 22
The count of numbers to be drawn is 5
So, the individual probabilities are
P(1) = 5/22
P(2) = 4/21
P(3) = 3/20
P(4) = 2/19
P(5) = 1/18
The probability of winning is the product of the above
So, we have
p = 5/22 * 4/21 * 3/20 * 2/19 * 1/18
Evaluate
p = 0.00003797372
Hence, the probability is 0.00003797372
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the equation d=6 t models the distance of a squirrel can travel when when it runs at top speed. In the equation, d is the distance in yards and t is the time in seconds.
Answers
Answer:
[tex]\begin{array}{|c|c|c|c|c|}\cline{1-5} \textsf{Time (s),}\;t \phantom{\dfrac11}& \phantom{.}0 \phantom{.}& 2 & 4 & 6\\\cline{1-5} \textsf{Distance (yd)},\;d \phantom{\dfrac11}& 0 & 12 & 24 & 36\\\cline{1-5} \end{array}[/tex]
Step-by-step explanation:
Given equation:
[tex]d=6t[/tex]
where:
d is the distance in yards.t is the time in seconds.To complete the table, substitute each value of t into the given formula and solve for d:
[tex]t=2 \implies d=6(2)=12[/tex]
[tex]t=4 \implies d=6(4)=24[/tex]
[tex]t=6 \implies d=6(6)=36[/tex]
Enter the found values of d into the table:
[tex]\begin{array}{|c|c|c|c|c|}\cline{1-5} \textsf{Time (s),}\;t \phantom{\dfrac11}& \phantom{.}0 \phantom{.}& 2 & 4 & 6\\\cline{1-5} \textsf{Distance (yd)},\;d \phantom{\dfrac11}& 0 & 12 & 24 & 36\\\cline{1-5} \end{array}[/tex]
NEED HELP!
You are completing a math assessment. The number of questions you complete and the time it takes you to complete them have a proportional relationship, as shown in the table.
Number of Questions 2 5
Time (in minutes) 9 ?
How much time does it take to complete 5 questions?
11 minutes, 30 seconds
22 minutes, 30 seconds
3 minutes
12 minutes
Answers
The time taken to complete 5 questions is (option b) 22 minutes, 30 seconds
Given,
The number of questions = 2
Time taken to complete 2 questions = 9 minutes
Now,
The number of questions = 5
We have to find the time taken to complete 5 questions:
We can consider ratio here:
That is,
Number of questions : Time taken to complete
So,
2 : 9 and 5 : x
Lets equate:
2 : 9 = 5 : x
That is,
2x = 5 × 9
Now, divide 2 on both sides:
2x/2 = (5 × 9) / 2
Here,
x = 45/2
Then,
x = 22.5
Converting this into minutes, we get 22 minutes, 30 seconds.
That is,
The time taken to complete 5 questions is (option b) 22 minutes, 30 seconds
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5. Which fraction is NOT equal to 8/7 ?
Answers
A square number is the result of multiplying an integer or number by itself exponentially. Square numbers are always positive numbers. Positive sign (+) is produced when the negative sign is multiplied by itself. Option B: 64/49 is not equal to 8/7
What are Squares and Square Roots?In mathematics, the operations squares and square roots are the opposite. A number's square represents the number that requires to be multiplied by itself to return to its original value, whereas a number's square represents the number that has to be multiplied by itself to return to its true value. The square of some other natural number is a perfect square, often known as a square number. The result of multiplying a number by itself is the square root of that number. It is possible to couple the perfect square's prime factors. Making the prime factor pairs is the first step in determining the square root. The product of these components is then determined by selecting one element from each pair.The square root of the ideal square can be discovered using this technique.Option B: 64/49 is not equal to 8/7
64/49 = (8/7) ^2 but not 8/7
whereas all the other options:
16/14 = 8/7
32/28 = 8/7
72/63 = 8/7
Hence, Option B: 64/49 is not equal to 8/7
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Jennifer went to the mall and spent $120 on new clothes for her job. She bought 3 shirts that each cost the same amount and a pair of pants that cost $59. solve with just the equation
Answers
From the equation 3x + 59 = 120, the unit cost of the shirts is $20.33.
What is an equation?An equation is a mathematical statement used to equate two mathematical expressions.
To demonstrate equality, equations use the equation symbol (=).
The total amount spent on new clothes = $120
The number of shirts bought = 3
The cost of the pair of pants bought = $59
Equation of the situation is 3x + 59 = 120,where x = the unit cost of the shirts.
3x + 59 = 120
Subtract 59 from both sides:
= 3x + 59 - 59 = 120 - 59
Simplify both equations:
3x = 61
Divide both sides by 3:
3x/3 = 61/3
x = 20.33
Thus, we can conclude that the equation for the new clothes Jennifer bought at the mall shows that each shirt costs $20.33.
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……………………………………………………
Answers
2. Where
3. Who
4. What
5. When
Anybody know the first answer ?
Answers
Answer:
Discrete data
Step-by-step explanation:
Discrete data is information that can only take certain values.
Find the slope of the line that passes through the following points:
(1, -3)
(4, 0)
Answers
Work Shown:
[tex](x_1,y_1) = (1,-3) \text{ and } (x_2,y_2) = (4,0)\\\\m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}\\\\m = \frac{0 - (-3)}{4 - 1}\\\\m = \frac{0 + 3}{4 - 1}\\\\m = \frac{3}{3}\\\\m = 1\\\\[/tex]
Cooper’s jump rope is 4 2/5 feet long. Luke’s jump rope is 4 3/4 feet long. Who’s jump rope is longer? How much longer? Show your work.
PLS ANSWER I NEED AN A+ I GOT A D- ON THE PRE TEST PLS! REWARDING 25 POINTS! <333
Answers
Luke's jump rope is greater than cooper's when the given mixed fraction was converted to an improper fraction and then a decimal by 0.35m.
What are mixed fractions?
The quotient and remainder of a fraction are used to represent it, making it a mixed fraction. For illustration, 2 1/3, wherein 2 has been the quotient but 1 is indeed the remainder, is a mixed fraction. A mixed fraction is a combination of both a complete number and a recognized fraction.Converting each mixed fraction to an improper fraction and then decimal to compare between two values, we get-
Cooper's jump rope length= [tex]4\frac{2}{5}[/tex] = 22/5 =4.4 m
Luke's jump rope length = [tex]4\frac{3}{4}[/tex] = 19/4 = 4.75 m
Luke's jump rope is greater than cooper's by 4.75-4.4 =0.35m
Comparing both lengths, we get that Luke's jump rope is greater than cooper's when the given mixed fraction was converted to an improper fraction and then a decimal by 0.35m.
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2+22+222+2222+22222?
Answers
The answer for 2+22+222+2222+22222 is 24690
Answer:
22222222222
Step-by-step explanation:
222+22+2222+22²22
help please i don’t understand
Answers
Answer:
The correct option is B.
Find the measure of x.
65°
18
x = [?]
Round to the nearest hundredth.
Enter
Answers
Answer: 585
Step-by-step explanation: You can multiply both numbers and divide by 2 to get the answer
Directions: Simplify the following expressions. Refer to the rules for signed numbers in solving these problems.
Example: - 4 + 5 = +1 (the signs are different, take the difference (subtract) and place the sign of the larger number)
1. + 2 - (+3) =
2. + 11 + (-10) =
3. 3 + (-5 ) =
4. + 22 - 21 =
5. - 8 - (-44) =
6. -12 - (-6 ) + 3 =
7. + 16 -(-12) =
8. - 36 - (-36) =
9. -4 * 10 =
10. -1 * -1 =
11. + 7 * - 7 =
12. -4 / 4 =
13. -7 * -5 =
14. -10 * + 8 =
15. -2 * - 7 =
Answers
Step-by-step explanation:
remember, when 2 signs collide (like a mathematical operation and the sign of an operand of that operation), the following is always true (for additions/subtractions and multiplications/divisions) :
+ + = +
+ - = -
- + = -
- - = +
and don't forget : when a number or term is positive, we usually don't write the sign. only the mathematical operation.
1. 2 - 3 = -1
2. 11 - 10 = 1
3. 3 - 5 = -2
4. 22 - 21 = 1
5. -8 + 44 = 36
6. -12 + 6 + 3 = -3
7. 16 + 12 = 28
8. -36 + 36 = 0
9. -4 × 10 = -40
10. -1 × -1 = 1
11. 7 × -7 = -49
12. -4 / 4 = -1
13. -7 × -5 = 35
14. -10 × 8 = -80
15. -2 × -7 = 14
Part Two:
For any long-distance call T-Mobile charges a base rate of $15 per month plus $0.05 a minute
that you are on the phone, while Verizon charges a base rate of only $10 per month, but charges
$0.10 per minute for long distance calls. Write the equation that represents the total cost for one month of long distance calls for each company, where y is total cost and x is the amount of minutes used:
T-Mobile:
Verizon:
Using an algebraic method, determine how many minutes the two plans will cost the same.
Answers
T-Mobile charges a base fee of $15 per month plus $0.05 for each minute. 300 minutes long would you need to call for them to charge the same amount.
Given that,
T-Mobile charges a base fee of $15 per month plus $0.05 for each minute you are on the phone for any long-distance call, while Verizon has a basic rate of only $10 per month but charges $0.10 for long-distance calls.
We have to find how long would you need to call for them to charge the same amount.
We can write the equation as
15+0.05x=0.10x
0.05x-0.10x=-15
-0.05x=-15
0.05x=15
x=15/0.05
x=300 minutes
Therefore, 300 minutes long would you need to call for them to charge the same amount.
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Which one of these graphs is not a function?
a
b
c
d
Answers
Answer:
A
Step-by-step explanation:
A is the only one that has multiple points on one x-axis, and a function only has one point per x-axis.
kennedy has 3+5/8 cups of glue she used
Answers
[tex]1.25[/tex]
[tex]3 \times \frac{5}{8} - 2 \times \frac{3}{8} = \frac{29}{8} - \frac{19}{8} = \frac{10}{8} = 1.25[/tex]
PLEASE HELP PLEASEEE
Answers
Answer:
70
Step-by-step explanation:
[tex]56(5/4)=70[/tex]
Jan is twice as old as Jake. The sum of their ages is 5 times Jake's age decreased by 48.
How old are Jan and Jake?
Answers
Answer:
Jake = 24
Jan = 48
Step-by-step explanation:
J = Jan
X = Jake
2x + x = 5x - 48
2x = 4x - 48
-2x = -48
x = 24
Jake = 24
Jan = 48
Decrease £16870 by 3%
Give your answer rounded to 2 DP.
Answers
We have that the Decrease of £16870 by 3% is mathematically given as
P=168193.9=>168193.90 2dp
Arithmetic
Question Parameters:
Decrease £16870 by 3% Give your answer rounded to 2 DP.
Generally the equation for the 3% of 16870 is mathematically given as
X=0.03*16870
X=506.1
Therefore Decrease £16870 by 3% we have
16870 - 506.1
P=168193.9
Answer:
= £16363.9
Step-by-step explanation:
- Decrease is a reduction and can be done only by subtraction in two ways;
Decreasing the percentage first;[tex] = (100 - 3)\% \\ = 97\%[/tex]
- Then multiply the result to the value being decreased;
[tex] = \frac{97}{100} \times 16870 \\ \\ = 16363.9 \: \: euros[/tex]
Decreasing from first principle;[tex] = \frac{3}{100} \times 16870 \\ \\ = 506.1 [/tex]
- Then reduce the original by the result:
[tex] = 16870 - 506.1 \\ = 16363.9 \: euros[/tex]
REALLY EASY, WONT TAKE LONG + WILL GIVE BRAINLIEST AND A THANKS !
Answers
The order of the scale from smallest to the largest is:
The smallest = 1 inch to 3 yards
The middle : 1 inch to 1.1 yards
The largest : 1 inch to 1 yard
What is the order of the scale?A scale drawing is either a larger or smaller version of a diagram. A scale factor provides information on the unit of conversion between the original image and the scale drawing. A scale factor is the ratio of the length of the scale drawing to the length of the actual drawing.
The first step is to convert the given scale factors to the same units of measurement.
All of the measurements would be converted to yards
1 feet = 3 yards
1 inch to 3 yards
1.1 yards = 1 meter
1 inch to 1.1 yards
1 inch to 1 yard
The smallest = 1 inch to 3 yards
The next : 1 inch to 1.1 yards
The largest : 1 inch to 1 yard
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i need help with 9, 10, and 13
Answers
Answer:
9: m = 15h
10: d = 6.5t
13: No because the ratios are not equivalent as they start with$450.
Solve for y.
y/4= 5.12
Help me please and ty <3
Answers
Answer: y = 20.48
Step-by-step explanation:
To get rid of the denominator under the y you must multiply the entire equation by 4.
y = 20.48
That's all :)
Answer:
20.48 :)
Step-by-step explanation:
To find y you need to do 5.12 multiplies by 4 which is 20.48. Hope this helps <3
Find the value of x and y. Show all of your work or explain how you get your answer.
Answers
Answer:
here,
2x=76 (because of adjacent angle)
76/2=x
x=38
again,
x+y=180(because of straight angle)
y=180-38
y=142
2. Khalid invests $6750 at 8.5% per annum. How much interest
has he earned and what is the total amount in his account after 4 years?
Answers
Step-by-step explanation:
principle:$6750
Rate:8.5%
Time:4 years
Simple interest=
PRT/100
Therefore S.I =
6750*85*4/1000=$2295
Amount=S.I+ Principle
Therefore amount=$2295+$6750=$9045
Answers:S.I:$2295,amount:$9045.
