Answers
Answer:
x ≤ -½
Step-by-step explanation:
symetry axis => x = (-4+3)/2
x = -1/2
so, the function decreasing over interval x≤ -½
The function is decreasing over the interval (3, ∞).
To determine if the function is decreasing or increasing between these critical points, we can test a point within each interval. Let's pick a test point in each interval and evaluate the function at these points.
Interval I: (-∞, -4)
Let's choose x = -5 as a test point in this interval.
Calculate f(-5) to determine the function's behavior at this point.
Interval II: (-4, 3)
Let's choose x = 0 as a test point in this interval.
Calculate f(0) to determine the function's behavior at this point.
Interval III: (3, ∞)
Let's choose x = 4 as a test point in this interval.
Calculate f(4) to determine the function's behavior at this point.
If the function values decrease as we move from left to right in an interval, then the function is decreasing over that interval.
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Related Questions
What is the measure of angle y in the figure?
Answers
Answer:
y = 27
Step-by-step explanation:
The sum of the two angles is a right angle, which is 90 degrees
y+63 = 90
y = 90-63
y =27
Answer:
The measures of angle y is 30 °.
Step-by-step explanation:
We know that, the sum of two side of right angle is 90 °.
60 ° + y = 90 °
subtract 60 ° from each side
y = 90 ° - 60
y = 30 °
Therefore, the measures of angle y is 30°.
Write a linear equation in standard form for the line that goes through (2, -3)
and (4, -2).
A. X + 2y = -4
B. y - 3 = {(x - 2
C. x - 2y = 8
D. X+ 4y = 12
Answers
9514 1404 393
Answer:
C. x -2y = 8
Step-by-step explanation:
One way you can do this is to use the form ...
(Δy)(x -x1) -(Δx)(y -y1) = 0
where Δx = x2 -x1 = 4 -2 = 2, and Δy = y2 -y1 = -2 -(-3) = 1
This gives ...
(x -2) -2(y -(-3)) = 0 . . . above form with numbers filled in
x -2y -8 = 0 . . . . . . . general form
x -2y = 8 . . . . . . . . . standard form
_____
Additional comment
You can use any of several other strategies, including finding the slope and y-intercept, then rearranging the equation.
Another strategy that works is to try the answer choices. You might notice that the first given point works in the first equation, so it may make sense to try the second given point in each equation.
The above version of the equation of a line is a variation on one that says the slope of a line is the same everywhere:
[tex]\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{y-y_1}{x-x_1}\ \Rightarrow\ (y_2-y_1)(x-x_1)=(x_2-x_1)(y-y_1)\\\\(y_2-y_1)(x-x_1)-(x_2-x_1)(y-y_1)=0[/tex]
He had $70 to spend. When he arrived at the store, the cat toys were on sale for 1/3 off. What is the greatest amount of cans of cat food Fitty can purchase if he purchases another cat toy in addition to the food?
Answers
Answer:
1/3 x 70
= $ 23 / 1/3
= 70 - 23 / 1/3
= $ 46 /2/3
(please help me with these)
Draw the figures with the following dimensions. Then, solve for the missing terms.
Answers
9514 1404 393
Answer:
V = 125 m³l = 7.5 cmStep-by-step explanation:
You have not told us the sort of figure you're supposed to draw. If these are cuboids, then their drawings are substantially similar to the one shown in the attachment. Your figures may need to show the units on each of the dimensions.
1. A cube with edge lengths of 5 m has a volume of ...
V = s³
V = (5 m)³ = 125 m³
__
2. A cuboid with the given volume and other dimensions has a length of ...
V = lwh
675 cm³ = l(9 cm)(10 cm)
675 cm³/(90 cm²) = l = 7.5 cm . . . . . . . . divide by the coefficient of l
A.)49
B.)30
C.)7
D.)28
Answers
explanation
7x-19=4x+2
Simplify
3x=21
x=7
plug x into either starting equation
A density graph is used to find the probability of a discrete random variable
taking on a range of values.
A. True
B. False
Answers
Answer:
False
Step-by-step explanation:
This is false because A density graph is not used to find the probability of a discrete random variable taking on a range of values. This is because you have to use a calculations instead of a graph. The correct how to calculate is: Determine a single event with a single outcome. Identify the total number of outcomes that can occur. Divide the number of events by the number of possible outcomes.
Therefore, it's B ( false).
A couple purchased a home and signed a mortgage contract for $900,000 to
be paid with half-yearly payments over a 25-year period. The interest rate
applicable is j2 = 5.5% p.a. applicable for the first five years, with the condition
that the interest rate will be increased by 12% every 5 years for the remaining
term of the loan.
(a) Calculate the half-yearly payment required for each five-year interval
Answers
9514 1404 393
Answer:
$33,336.83$35,176.68$36,869.23$38,266.75$39,158.08Step-by-step explanation:
The amortization formula can be used to find the payment value.
A = P(r/2)/(1 -(1 +r/2)^(2n))
where P is the principal amount at the beginning of the loan period, r is the annual interest rate, n is the number of years remaining on the loan
The value of A in this scenario is the semi-annual payment.
Initially, the interest rate is 0.055 and the number of years remaining is 25.
After the first 5-year period, the interest rate goes up by 12%, so is multiplied by a factor of 1.12 to become 6.16% per year. The same growth factor is applied to the interest rate at the beginning of each 5-year period.
Of course, the number of years remaining is decreased by 5 years at the beginning of the next 5-year period.
__
The Principal remaining at the end of each 5-year period is the starting principal for the next period. It is calculated from ...
FV = P(1 +r/2)^10 -A((1 +r/2)^10 -1)/(r/2)
Where P is the starting principal, A is the loan payment as calculated above, and r is the annual interest rate.
__
These formulas are built into spreadsheet functions, so the desired set of loan payments can be calculated easily by that technology. The result is attached. In the "# pmts" column is the value used to amortize the loan for the 5-year period. The semiannual payment is calculated as though the loan would be completely paid off in that number of payments, keeping the same interest rate for the duration. Of course, that payment series is interrupted and the loan recalculated at the beginning of the next 5 years.
The half-yearly payments for each 5-year interval are ...
$33,336.83
$35,176.68
$36,869.23
$38,266.75
$39,158.08
_____
Additional comment
The values displayed in the spreadsheet are rounded to the values shown. The values used in calculation have 14 or more significant digits. This means the numbers here may vary from those provided by a lending institution. In the real world, the principal and interest values are rounded to cents with each payment, so actual results may vary by a few cents either way.
Find the y-intercept of the line
y + 8x = 5
Answers
Answer:
y= 5-8x
Step-by-step explanation:
See image below:)
I think of a number; take away 3 and then multiply by 7 to get the number 42. What was the number I started with?
Answers
Ex 1: Triangle RST is rotated 90 degrees counterclockwise about the origin, then reflected across the x-axis. Find the coordinates of the image.
Answers
Answer:
IIII..I.I.I.I.I.I.I.I.I.I.I.I.I.I.I.I.I.I.I.I..II..II.I.
Step-by-step explanation:
EAS1
HELP PLSSS I will give first person to answer this write Brainlyest
I suck at math this is easy
Answers
Answer:
C)
Step-by-step explanation:
When you see something like 6³) 2, to get both the exponent and the multiplier together, you must multiply 3 x 2. As this problem goes, there is -7 and 5 as our exponents. If we both multiply them by 2, we will get -14 and 10. Its one of the rules in basic algebra. Check the pic I posted below.
Hope this helps!
-kiniwih426
The faculty of a certain four-year college consists of 179 teachers. There are 663 first-year students. The student-to-faculty ratio for the entire college is 15 to 1. What is the total number of second-, third-, and fourth-year students?
Answers
Answer:
2022 students
Step-by-step explanation:
15:1
? :179
?=179×15
=2685
2685-663=2022
Answer:
2022 students
Step-by-step explanation:
15:1
?:179
?=179×15
=2685
2685-663
=2022
the total number of second-, third-, and fourth-year students are 2022 students.
A circular sinkhole has a radius of 12 meters. A week later, it has a diameter of 48 meters. How much greater is the circumference of the sinkhole compared to the previous week?
Answers
Answer:
B
Step-by-step explanation:
1) initial circumference
radius * 2 * pi = 24 * pi = 75,398224
2) final circumference
diameter * pi = 48 * pi = 150,796447
150,796447 - 75,398224 = 75.36 m
If the function y=xa-31 is a linear function, what is the value of a
Answers
Answer:
Answer is A
Step-by-step explanation:
Based on historical data, your manager believes that 33% of the company's orders come from first-time customers. A random sample of 163 orders will be used to estimate the proportion of first-time-customers. What is the probability that the sample proportion is greater than 0.28
Answers
Answer:
[tex]P(x > 0.28) = 1[/tex]
Step-by-step explanation:
Given
[tex]p = 33\%[/tex] --- orders from first time customer
[tex]n =163[/tex] --- samples
Required
[tex]P(x >0.28)[/tex]
First, calculate the mean
[tex]\bar x = np[/tex]
[tex]\bar x = 163 * 33\%[/tex]
[tex]\bar x = 53.79[/tex]
Next, the standard deviation
[tex]\sigma = \sqrt{\bar x * (1 - p)[/tex]
[tex]\sigma = \sqrt{53.79* (1 - 33\%)[/tex]
[tex]\sigma = \sqrt{53.79* (1 - 0.33)[/tex]
[tex]\sigma = \sqrt{53.79* 0.67[/tex]
[tex]\sigma = 6.00[/tex]
For [tex]P(x >0.28)[/tex],
The z score is:
[tex]z = \frac{x - \bar x}{\sigma}[/tex]
[tex]z = \frac{0.28 - 53.79}{6}[/tex]
[tex]z = \frac{-53.51}{6}[/tex]
[tex]z = -8.92[/tex]
So:
[tex]P(x > 0.28) = P(z > -8.92)[/tex]
From z probability:
[tex]P(z > -8.92) =1[/tex]
Hence:
[tex]P(x > 0.28) = 1[/tex]
please can anybody help me?
Answers
Answer:
A) BEM is an acute angle. B) MBX is an obtuse angle. C) XBE is a straight angle. D) XBE is an angle of vertex B. E) MBY is an angle of side [My). F) Another name for angle BER is REB. G. XBY and MBE are adjacent. EBY and XBM are supplementary angles.
Jonas runs a pet store that sells guinea pigs. He wants to ensure he has more than 1 pound of dry food for every five guinea pigs he has in the store. He currently has 8 pounds of dry food and wants to know how many guinea pigs can he have in the store. Write and solve an inequality to solve this problem. What is the solution to the inequality?
Answers
Answer:
He can have 40 guinea pigs in the store.
Step-by-step explanation:
Since Jonas runs a pet store that sells guinea pigs, and he wants to ensure he has more than 1 pound of dry food for every five guinea pigs he has in the store, and he currently has 8 pounds of dry food, to know how many guinea pigs can he have in the store, the following equation must be performed:
1 = 5
8 = X
8 x 5 = X
40 = X
Therefore, he can have 40 guinea pigs in the store.
Answer:
x less-than-or-equal-to 40
Step-by-step explanation:
A new car's original price is $13,999. If it's on sale for 10% off, what's the new price?
Answers
Answer:
12,599.1
Step-by-step explanation:
13,999 * 0.9 = 12,599.1
Answer:
1399.9
Step-by-step explanation:
Firstly you get your number 13'999 and divide it by ten because its ten percent of.
An agricultural researcher plants 25 plots with a new variety of corn. The average yield for these plots is 150 bushels per acre. Assume that the yield per acre for the new variety of corn follows a Normal distribution with unknown mean μ and that a 95% confidence interval for μ is found to be 150 ± 3.29. Which of the following options gives the correct notation for and value of the point estimate?
A) n=25
B) μ= 150
C) x=150
D) =150
E) P=150
Answers
Answer: C is the correct option.
Step-by-step explanation:
Confidence interval for population mean:
[tex]\overline{x}\pm E[/tex]
, where [tex]\overline{x}[/tex] = Sample mean
E = Margin of error
Given confidence interval : 150 ± 3.29
Here , [tex]\overline{x}=150, E=3.29[/tex]
Since the sample mean is the best estimate for the population mean.
Thus, the correct notation is [tex]\overline{x}=150[/tex]
i.e. C is the correct option.
help me this question
Answers
What is the length of the base of a right triangle with an area of 15 square meters and a height of 3 meters? A. 5 m B. 10 m C. 30 m D. 45 m
Answers
Answer:
B.10
Step-by-step explanation:
15=1/2b(3)
30=3b
10= base
Sami wants to find the measures of the sides and angles of the parallelogram shown.
Which tools can she use to find these measures?
Protractor,Scale,compass .ruler select all that apply
Answers
Answer:
Step-by-step explanation:
for sides you can use ruler but for angles you should use protractor
The tools Sami would used to measure the sides and angles of the parallelogram are: compass and ruler.
What is a Parallelogram?
A parallelogram is a type of quadrilateral that has two pairs of opposite sides that are parallel and congruent, and has opposite angles that are also congruent.
A compass ca be used to measure the interior angles while a ruler can be used to measure the side lengths of the parallelogram.
Therefore, the tools Sami would used to measure the sides and angles of the parallelogram are: compass and ruler.
Learn more about the parallelogram on:
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Which number is not in scientific notation? I need To know ASAP!!!!
Answers
Answer:
The first one.
Step-by-step explanation:
The correct scientific notation for the first option would make it a decimal (1.1), so it is not in the correct scientific notation.
Expand and simplify 4(p+2)-3(5-6p)
Answers
Step-by-step explanation:
4p+8-15+18p=04p+18p=-8+1522p-7
PLS HELP For the upcoming holiday season, Dorothy wants to mold 20 bars of chocolate into tiny pyramids. Each bar of chocolate contains 6 cubic inches of chocolate. Dorothy
plans to make chocolate pyramids with a square base of 1 square inch and a height of 2 inches. What is the largest number of pyramids she can make from the 20
bars of chocolate?
A.
180
Св.
240
OC
450
OD
520
E.
580
Answers
Answer:
180
Step-by-step explanation:
Answer:
Step-by-step explanation:180
I need help with this ,math problem 0.17/0.2975
Answers
1. A small bag of rice weighs 5/8 Kg. How
many of these bags are contained in a
bag which is 70Kg?
Answers
Answer:
112 bags are contained in
Step-by-step explanation:
a bag which is 70 kg
The delivery truck drove 5 miles from store A to store B. Then the truck drove 13 miles from store B to the warehouse. If store A is directly south of store B and directly east of the warehouse, how far is store A from the warehouse!
Answers
Answer:
The distance from the store A to the warehouse is of 13.93 miles.
Step-by-step explanation:
The delivery truck drove 5 miles from store A to store B
5 miles south.
13 miles from store B to the warehouse.
13 miles east.
The situation can be represented by:
A
B Warehouse
In which the distance of A to B is of 5 miles, and the distance of B to the warehouse is of 13 miles. Thus, the distance of store A to the warehouse is the hypothenuse of a right triangle, with sides 5 and 13.
Using the Pytagorean Theorem:
[tex]h^2 = 5^2 + 13^2[/tex]
[tex]h^2 = 25 + 169[/tex]
[tex]h^2 = 194[/tex]
[tex]h = \sqrt{194}[/tex]
[tex]h = 13.93[/tex]
The distance from the store A to the warehouse is of 13.93 miles.
school uniform cost $25 plus a one time $5 fee if you get your initials embroidered on the collar . how much did bryce pay if he ordered 4 embroidered uniforms?
Answers
someone please help marking brainliest
Answers
Explanation: When using the method of elimination, the goal is to eliminate a variable by either adding or subtracting the 2 equations. For this question, you can choose either to eliminate X or Y. I’ll eliminate X as an example:
In order to eliminate a variable, the same variable in both equations must have the same coefficient.
(1) 3x+y=7
(2) 2x+5y=22
Multiply (1) by 2:
(3) 6x+2y=14
Multiply (2) by 3:
(4) 6x+15y=66
Now that X in both equations has the same coefficient of 6, you can subtract the two equations to officially eliminate the variable and solve for Y:
Subtract (4) from (3):
-13y=-52
y=4
Now that you have the value of Y, substitute that into either one of the equations to get X. I’ll use the first equation as an example:
3x+(4)=7
3x=3
x=1
Therefore, the point of intersection is (1, 4).
Hope this helps シ