Answer: -19x +1
Step-by-step explanation: Do -10x -9x which is -19x and you have 1 which is unlike terms .So your final answer is -19x +1 .
Given a polynomial that has zeros of −5, 4i, and −4i and has a value of 40 when x=3 write the polynomial equation
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]
Given the following equations, determine the relationship of the lines they represent: y = 5 and x = 6.
Answer:
2x2/er5
Step-by-step explanation:
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 :)
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:
Select the answer that describes the properties of a square.
Answer:
Two pairs of parallel sides
All sides congruent
Four right angles
1)
What are the
are the prime factors of 64
Answer:
they are 1,2
Step-by-step explanation:
1, 2,4,8,16, 32, 64
Answer: 1,2,4,8,16,32, 64
This is due today! Please answer this:
Answer:
1. - 6.75
2. 15/28
3. - 3.3
Step-by-step explanation:
The first is correct because a positive times a negative is a negative.
The second is incorrect. It should be 15/28 because a negative times a negative is a positive.
The third is incorrect because a positive times a negative is a negative.
The answer should be
1. - 6.75
2. 15/28
3. - 3.3
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
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]
The numerator that makes the equation true
PLEASE HELP QUICK
I WILL MARK BRAINLIEST!!!
Answer:
Step-by-step explanation:
c
The Goliath Beetle weighs 100 grams. A ladybug weighs 0.02 grams. How many ladybugs weigh the same as one Goliath Beetle? (GIVING BRAINLIEST)
Answer:
5,000
Step-by-step explanation:
I used a calculator:)
Which images below are scalene triangles?
Triangle A has three sides each measuring 7 units. Triangle B has two sides that are equal in length, and the base is longer than the two sides. Triangle C has no sides of equal length. Triangle D has sides of length seven, three, and six.
Triangles A and D
Triangles B and D
Triangles A and C
Triangles C and D
Answer:
Triangle C and D
Is your correct answer
Triangle A have 3 sides equal so it is equilateral triangle
Triangle B have 2 sides equal so it is isosceles triangle
Triangle C have no equal sides so it is scalene triangle
Triangle D have no equal sides so it is scalene triangle
Triangles C and D are scalene triangles.
What is mean by Triangle?A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.
Given that;
Triangle A has three sides each measuring 7 units.
Triangle B has two sides that are equal in length, and the base is longer than the two sides.
Triangle C has no sides of equal length.
Triangle D has sides of length seven, three, and six.
Now, We know that;
A scalene triangle have different sides.
Hence, Triangles C and D are scalene triangles.
Thus, We get;
Triangles C and D are scalene triangles.
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find the slope of the line that passes through the given points (7, 3) and (13, 8)
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
Allison is looking to buy a new car but has low credit score. Which of the following statements is FALSE?
The option that is false regarding the low credit score is that she is more likely to get a loan with a low-interest rate.
What is a credit score?A credit score is a numerical expression that is based on a level analysis of a person's credit files, to represent the creditworthiness of an individual.
In this case, she is not likely to get a loan with a low-interest rate because of her poor credit score.
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Find the mean of the data in the bar chart below.
Answer:
10.5
Step-by-step explanation:
Mean = average so 18+4+12+8/4 = 10.5
Answer:
10.5
its on khan academy i double checked
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.
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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Consider the expression - 63 - |-74 +25 a. Estimate the value of the expression. Show your work. SOLUTION
Answer:
-137-l+25a
Step-by-step explanation:
The given expression is :
- 63 - |-74 +25 a
We need to find the value of the expression.
Gere, l and a are variables.
-63-74 = -137
So,
= -137-l+25a
Hence, the value of the expression is equal to -137-l+25a
Can someone help me with this answer I’m on a test and it’s almost due
16.5 / p = 11 / 18
p = 16.5 × 18 / 11
p = ( 16.5 / 11 ) × 18
p = 1.5 × 18
p = 27
PLSS HELP ASAP I WILL GIFE H BRAINLIEAST
Answer:
6 ft^2
Step-by-step explanation:
A=1/2 Base Height
A=1/2(3)(4)
A=6 ft^2
Which temperature is warmer: -3 or -4 degrees Celsius?
Answer:
-3
Step-by-step explanation:
What is the slope of 4x-2y=6
Answer:
slope= -2
Step-by-step explanation:
The area of an ellipse with axes of length
2a and 2b is ab.
The percent change in the area when a increases by
2.74% and b increases by 2.65% is
Answer:
The area increases by 5.46261%
Step-by-step explanation:
Well firstly, the area of an ellipse is not ab, but it's proportional to ab ([tex]\pi ab[/tex] where a and b are the semi-minor and semi-major axes).
This tells us that when a increases by 2.74% and b increases by 2.65% the new area will be:
[tex]A = \pi \cdot (a \cdot 102.74\%)(b \cdot 102.65\%) = \pi a b \cdot 102.74\% \cdot 102.65\% = \pi ab \cdot 105.46261\%[/tex]
The percentage change in area of the ellipse is 5.5%
The area of an ellipse with an axes of length of 2a and 2b is πab.
Area of ellipse = πab
Since a increases by 2.74%, hence a = (100% + 2.74%)a = 1.0274a
Also, b increases by 2.65%, hence b = (100% + 2.65%)b = 1.0265b
Therefore the new area = π * 1.0274a * 1.0265b = 1.055πab
The ratio in the area = 1.055πab/ πab = 1.055
The percentage change in area of the ellipse is 5.5%
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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?
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.
5x+4y=12. 3x + 6y=8. Help me plaeaee
Answer:
x = - 20 / 3, y = 14 / 3
Step-by-step explanation:
In the picture
HELP ME THIS IS MISSING HOMEWORK AND I DONT WANT ANY FILES OK!!!!!!!!!!!!!!!!!
Answer:
4a) [tex]\frac{2}{3}[/tex] · (5 + 7)
b) 3 ÷ (3/5)
c) ([tex]\frac{2}{3}[/tex] - [tex]\frac{1}{2}[/tex]) ÷ 3
Step-by-step explanation:
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
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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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?
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!
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
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.
What is the measure of ZP, to the
nearest degree?
O 44°
O 46°
0 58°
0 72°
Answer:
44
Step-by-step explanation:
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The median of the set of data with values 10,12,15,16,18,20 is?
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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Find the are of the following figure
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