Select the correct answer from each drop-down menu. Graph the function . The vertex of the graph is at ___. The direction in which the graph opens is ___.
Answers
Answer:
The vertex of the graph is at (0,12)
The direction the graph opens is upward.
Step-by-step explanation:
Answer:
The vertex is (0,12)
The graph opens in a upward direction
Step-by-step explanation:
I got this correct on my test, hope this helped
Related Questions
Given a polynomial that has zeros of −5, 4i, and −4i and has a value of 40 when x=3 write the polynomial equation
Answers
Answer:
[tex]f(x) = 0.2(x^3 + 5x^2 + 16x + 80)[/tex]
Step-by-step explanation:
Zeros of a function:
Given a polynomial f(x), this polynomial has roots [tex]x_{1}, x_{2}, x_{n}[/tex] such that it can be written as: [tex]a(x - x_{1})*(x - x_{2})*...*(x-x_n)[/tex], in which a is the leading coefficient.
Zeros of −5, 4i, and −4i
This means that [tex]x_1 = -5, x_2 = 4i, x_3 = -4i[/tex]. So
[tex]f(x) = a(x - x_{1})*(x - x_{2})*(x-x_3)[/tex]
[tex]f(x) = a(x - (-5))*(x - 4i)*(x - (-4i))[/tex]
[tex]f(x) = a(x + 5)(x - 4i)(x + 4i)[/tex]
[tex]f(x) = a(x + 5)(x^2 - 16i^2)[/tex]
Since [tex]i^2 = -1[/tex]
[tex]f(x) = a(x + 5)(x^2 + 16)[/tex]
[tex]f(x) = a(x^3 + 5x^2 + 16x + 80)[/tex]
Has a value of 40 when x=3
We use this to find a, which means that we have [tex]x = 3, f(x) = 40[/tex]. So
[tex]a(3^3 + 5*3^2 + 16*3 + 80) = 40[/tex]
[tex]200a = 40[/tex]
[tex]a = \frac{40}{200} = \frac{1}{5} = 0.2[/tex]
So
[tex]f(x) = 0.2(x^3 + 5x^2 + 16x + 80)[/tex]
The Goliath Beetle weighs 100 grams. A ladybug weighs 0.02 grams. How many ladybugs weigh the same as one Goliath Beetle? (GIVING BRAINLIEST)
Answers
Answer:
5,000
Step-by-step explanation:
I used a calculator:)
Select the answer that describes the properties of a square.
Answers
Answer:
Two pairs of parallel sides
All sides congruent
Four right angles
The median of the set of data with values 10,12,15,16,18,20 is?
Answers
The median of the set of data with values 10,12,15,16,18,20 is 15.5.
What is the median?The median is one of the measures of central tendency.
The median is the middle value of a data set.
When the data set is even, the median is found by adding the two middle values and dividing by 2.
Data and Calculations:10,12,15,16,18,20
Total value = 91
Median = 15.5 (15 + 16)/2
Thus, the median of the set of data with values 10,12,15,16,18,20 is 15.5.
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Gas at station M costs $1.58 per gallon. Gas at station costs $1.63 per gallon. How much money will Jordan save the buys 15 gallions of
gas at station M rather than at station ?
A $0.05
B$0.75
OC. $23.70
D. $24.45
Answers
Answer:
B.$0.75
Step-by-step explanation:
I think that's the answer hope it helps you.
Find the are of the following figure
Answers
Answer/Step-by-step explanation:
1. Side of the square (s) = 35 mm
Area of square = s²
Area = 35² = 1,225 mm²
2. Length of rectangle (L) = 24 cm
Width = 18 cm
Area = L*W = 24*18 = 432 cm²
3. Diameter = 36 m
Radius = ½(36) = 18
Circumference of circle = πd = π*36 = 113.097336 ≈ 113.1 m
Area = πr² = π*18² = 1,017.87602 = 1,017.9 m²
4. Area of trapezoid = ½(a + b)*h
a = 9 cm
b = 15 cm
h = 18 cm
Area = ½(9 + 15)18
Area = 216 cm²
A) What kinds of living things get their energy directly from the sun?
B) Where do consumers get their energy?
C) Why is sunlight important to animals that eat other animals?
Brainlist! Also don’t get your answer from online pls
And I report ppl who add links’s :)
Answers
Answer: A) Producers B) Consumers constitute the upper trophic levels. Unlike producers, they cannot make their own food. To get energy, they eat plants or other animals, while some eat both. c) Through the photosynthesis process, producers, such as grass, absorb the sun's light energy to produce food (stored sugar and starches). Consumers cannot make their own food, so they have to consume other organisms. The food of almost any kind of animal can be traced back to plants and the sun.
Step-by-step explanation:
O. Find the value of x 1f 5 - 8x =29
(a)-3
(b) - 2
(d) 2
(e) 3
(c) o
Answers
Answer:
-3 is the answer of this question
Answer:
(a)-3
Step-by-step explanation:
[tex]5 - 8x = 29 \\ - 8x = 29 - 5 \\ - 8x = 24 \\ x = \frac{24}{ - 8} \\ x = - 3[/tex]
A group of neighborhood families are planning a trip to the museum
Answers
and when they got there they all got teleported back in time 66, 000, 000 years ago to the dinosaurs
5x+4y=12. 3x + 6y=8. Help me plaeaee
Answers
Answer:
x = - 20 / 3, y = 14 / 3
Step-by-step explanation:
In the picture
1)
What are the
are the prime factors of 64
Answers
Answer:
they are 1,2
Step-by-step explanation:
1, 2,4,8,16, 32, 64
Answer: 1,2,4,8,16,32, 64
SOMEONE, PLEASE GIVE ME THE ANSWER!!
Answers
Answer:
11.7 square units
Step-by-step explanation:
Specifications for a piece of material used in the manufacture of a bed mattress require that the piece be between a Lower and Upper value (in inches) centered around the process mean. The process that produces the piece yields a mean of 25 and a standard deviation of 0.6 inches. The distribution of output is normal. Within what values will 94.87 percent of sample means fall, if samples of n
Answers
Answer:
Hello a value is missing in your question below is the value
samples of n = 10
answer : 24.63 < μ < 25.370
Step-by-step explanation:
Given :
Sample size = n = 10
Z∝/2 = Z0.0256 = 1.95
next calculate for margin of error
E = Z∝/2 * ( 0.6 / / [tex]\sqrt{10}[/tex] )
= 0.370
therefore at 94.87% confidence interval the estimated population mean is
x - 0.370 < μ < x + 0.370
25 - 0.370 < μ < 25 + 0.370
24.63 < μ < 25.370
For a $150.000 mortgage with an interest rate of 5.5% paid over 20 years, the monthly payment is $1,031.83. After one
month, what is the balance of the loan?
Round your answer to the nearest dollar
Do NOT round until you calculate the final answer.
Answers
Answer: 149656
Step-by-step explanation:
The balance of the loan is $148,968
Using this formula
Loan balance=Mortgage amount-Monthly payment
Where:
Mortgage amount=$150.000
Monthly payment=$1,031.83
Let plug in the formula
Loan balance=$150.000-$1,031.83
Loan balance=$148,968
Inconclusion The balance of the loan is $148,968
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Can someone help me with this answer I’m on a test and it’s almost due
Answers
16.5 / p = 11 / 18
p = 16.5 × 18 / 11
p = ( 16.5 / 11 ) × 18
p = 1.5 × 18
p = 27
The numerator that makes the equation true
Answers
find the slope of the line that passes through the given points (7, 3) and (13, 8)
Answers
Answer:
The slope is 5/8.
Step-by-step explanation:
Use the slope formula:
m = y2 - y1 / x2 - x1
Plug in the numbers from the ordered pairs:
m = 8 - 3 / 13 - 7
m = 5/8
Nikki and her four friends had lunch at their favorite restaurant. The total bill was $29.00, and they wanted to leave a 15% tip. How much was the tip?
Answers
Answer:
$4.35
Step-by-step explanation:
Knowns:
Total bill: $29.00
Tip of 15% ($29.00)
Work:
$29.00 (0.15) = $4.35 tip
Hope this helps!
Which temperature is warmer: -3 or -4 degrees Celsius?
Answers
Answer:
-3
Step-by-step explanation:
A school had decided to hire a new vice principal. A recent issue 4 of the NEA magazine stated that the average vice principal salary s for a school of similar size is $60,000. At the request of the Board of Education, the principal conducts his own survey of vice principal's salaries. His survey of 25 schools revealed an average salary or $72,000 and a standard deviation of $9,000. Perform a hypothesis test at a 5% significance level to test the magazine's claim.
Required:
a. What is the appropriate sampling distribution to use?
b. State the null and alternative hypotheses.
c. State the decision rule at a significance level of 5% show all calculations
d. Illustrate all key numbers and areas on a graph.
e. What decision should the school principal make?
f. What type of error can possibly be made with the decision in part (e)?
g. What is the value of the Maximum Tolerable Error for this problem?
Answers
Answer:
1.) t - distribution
2.) H0 : μ = 60000 ; H1 : μ > 60000
3.) P < α (Reject Null) ; P > α (fail to reject Null)
4.) Reject H0
Type 1 error
Step-by-step explanation:
Null hypothesis, H0 : μ = 60000
Alternative hypothesis, H1 : μ > 60000
Decison rule at 5% significance ;
P < α (Reject Null)
P > α (fail to reject Null)
Xbar = 72000 ; std = 9000
Test statistic :
(Xbar - μ) ÷ (std / sqrt(n))
(72000 - 60000) ÷ (9000 / sqrt(25))
12000 ÷ 1800
Test statistic = 6.667
Using the Pvalue calculator from test statistic :
Test statistic = 6.667 ; df = 24 - 1 = 24
Pvalue = 0.00001
Pvalue < α ; Hence, we reject the Null
Type 2 error : This means accepting a Null hypothesis that should be rejected.
PLSS HELP ASAP I WILL GIFE H BRAINLIEAST
Answers
Answer:
6 ft^2
Step-by-step explanation:
A=1/2 Base Height
A=1/2(3)(4)
A=6 ft^2
A freelancer, who specializes in digital marketing, is interested in the average amount of money small businesses spend on pay per click advertising. In previous years, less than 3300 dollars, on average, is spent on pay per click annually. The digital marketing freelancer suspects this average has increased in recent years. If the digital marketing freelancer chooses to use the rejection region approach for their hypothesis test, what do they need to calculate in order to compare with the critical value
Answers
Answer:
Test statistics
Step-by-step explanation:
A test statistic is calculated to compare with the critical value approach. The critical value is found by choosing any value of significance level ∝ = 0.05, 0.1 or 0.01 . Mostly 5% is preffered .
The the calculated value of the test statistic is compared with the chosen value rejection region that whether it falls in the critical region or not.
The test statistic is applied on the conditions given. For example comapring many results can be done by using chi square or comparing two means can be done by t test or testing the variation can be done by F - test.
In the given problem a z test would be used.
Algebra 1
Hey so I got this question wrong on my quiz and I'm doing corrections, so I was wondering if anyone is willing to help me figure out this problem (don't know what I did wrong!) And please explain it! If you don't know the answer, or you're not sure, DON'T ANSWER! Thank you so much and any links will be reported!!
Problem:
-3√18 + 5√72 - √2
Answers
9514 1404 393
Answer:
20√2
Step-by-step explanation:
It is helpful to know your multiplication facts. For simplifying the radicals, you remove the perfect squares:
[tex]\sqrt{a^2\cdot b}=a\sqrt{b}[/tex]
__
[tex]-3\sqrt{18}+5\sqrt{72}-\sqrt{2}=-3\sqrt{3^2\cdot2}+5\sqrt{6^2\cdot2}-\sqrt{2}\\\\=-3\cdot3\sqrt{2}+5\cdot6\sqrt{2}-\sqrt{2}=(-9+30-1)\sqrt{2}\\\\=\boxed{20\sqrt{2}}[/tex]
a group of marine biologists on a marine Expedition recorded the altitudes which they found for animals which inequality correctly compares the altitudes of which they found the animals
Answers
Answer:
garden eel < great white shark < sea urchin < sea turtle
Step-by-step explanation:
At an airport, 79% of recent flights have arrived on time. A sample of 7flights is studied. a.Compute the mean of this probability distribution. Round to two decimal places, if needed.b.Compute the standard deviation of this probability distribution. Round to two decimal places, if needed.c.Find the probability that exactly4of the flights were on time. Round to three decimal places.d.Find the probability that lessthan 4of the flights were on time. Round to three decimal places.e.Find the probability that more than 5of the flights were on time. Round to three decimal places. f.Find the probability that at least5of the flights were on time. Round to three decimal places.g.Find the probability that no more than 5of the flights were on time. Round to three decimal places
Answers
Answer:
a. 5.53
b. 1.078
c. 0.126
d. 0.109
e. 0.549
f. 0.834
g. 0.451
Step-by-step explanation:
The percentage of the flights that arrive on time, P(x) = 79%
The number of flights in the sample, n = 7 flights
a. The mean of the probability distribution, μ = ∑x·P(x)
Therefore, we have; μₓ = n·p
μₓ = 7 × 79/100 = 5.53
b. The standard deviation, σₓ = √(n·p·(1 - p))
∴ σₓ = √(7 × 0.79 × (1 - 0.79)) ≈ 1.078
c. We have;
p = 0.79
q = 1 - p = 1 - 0.79 = 0.21
By binomial probability distribution formula, we have;
The probability of exactly four, P(Exactly 4) = ₇C₄·p⁴·q³
P(Exactly 4) = 35 × 0.79⁴×0.21³ ≈ 0.12625
d. The probability of less than 4 is given as follows;
P(Less than 4) = ₇C₀·p⁰·q⁷ + ₇C₁·p¹·q⁶ + ₇C₂·p²·q⁵ + ₇C₃·p³·q⁴
∴ P(Less than 4) = 1×0.79^0 * 0.21^7 + 7 * 0.79^1 × 0.21^6 + 21*0.79^2*0.29^5+ 85×0.79^3*0.21^4 ≈ 0.109
The probability of less than 4 is ≈ 0.109
e. The probability that more than 5 is given as follows;
P(More than 5) = ₇C₆·p⁶·q¹ + ₇C₇·p⁷·q⁰
7×0.79^6 * 0.21 + 1 * 0.79^7 × 0.21^0 ≈ 0.549
f. The probability that at least 5 of the flight were on time is given as follows;
P(At least 5) = ₇C₅·p⁵·q² + ₇C₆·p⁶·q¹ + ₇C₇·p⁷·q⁰
∴ P(At least 5) = 21×0.79^5 * 0.21^2 + 7×0.79^6 * 0.21 + 1 * 0.79^7 × 0.21^0 ≈ 0.834
g. For the probability that no more than 5 of the flights were on time, e have;
P(At most 5) = 1 - P(More than 5)
∴ P(At most 5) = 1 - 0.549 ≈ 0.451.
Please help! (14 points!)
1.) Which of the following is a tangent?
a. PV
b. US
c. RT
d. PQ
2.) Which of the following is a chord?
a. PV
b. US
c. RT
d. PQ
3.) Which of the following is in inscribed angle?
a. PVU
b. UST
c. QUS
d. USR
Answers
Answer:
1. RT 2. US 3. QUS
Step-by-step explanation:
The following is in the tangent, chord and inscribed angle is 1. RT 2. US 3. QUS.
We have given that the diagram
We have to determine
What of the following is a tangent?
The tangent line (or simply tangent) to a plane curve at a given point is the straight line that just touches the curve at that point.
The tangent is RT.
and the chord is US.
The following is in inscribed angle is QUS.
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What is the equation of the given line in slope-intercept form?
A. Y = 3x - 2
B. Y = -1/3x + 2
C. Y = -3x + 2
D. Y = 3x + 2
Answers
Answer:
C
Step-by-step explanation:
slope intercept is y=mx+b
The y-intercept is at 2 so b=2.
The slope is rise/run, equaling -3
so y= -3x+2
What is the measure of ZP, to the
nearest degree?
O 44°
O 46°
0 58°
0 72°
Answers
Answer:
44
Step-by-step explanation:
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PLEASE HELP QUICK
I WILL MARK BRAINLIEST!!!
Answers
Answer:
Step-by-step explanation:
c
simplify the equation 3/5x +x
Answers
Answer:
8x/5
Step-by-step explanation: