Step-by-step explanation:
*Assuming you meant polynomial function of degree 3*
The given zeros are 2, -1, and 3. To get the zeros in the first place, we have a deconstructed polynomial that looks like this:
(x-2)(x+1)(x-3)
Now, we can foil these out. **Quick note: if the degree of your polynomial is greater than 3, simply put a square root on one of the terms: (x-2)^2
After foiling you should get: x^3-4x^2+x+6
Brandon is playing hide-and-seek with Katy and Tony. Katy is hiding 63 feet south of Brandon, and Tony is hiding due east of Katy. If Brandon is 87 feet from Tony, how far apart are Katy and Tony?
Answer:
60 feets
Step-by-step explanation:
Given that :
Using Pythagoras rule :
Hypotenus = sqrt(Adjacent^2 + opposite^2)
From the attached picture :
x² = 87^2 - 63^2
x^2 = 7569 - 3969
X^2 = 3600
Take the square root of both sides :
X = sqrt(3600)
X = 60 feets
Hence, Katy and Tony are 60 feets apart
When I multiply two variables, what operation do I use for the exponents to combine them?
Answer:
Multiplying exponents with the same base
When you multiply two variables or numbers that have the same base, you simply add the exponents.
Step-by-step explanation:
Select all of the linear equations that are in standard form. Group of answer choices 15x-14y=22 3x+5y=7 2.5x-y=17 -2x+8y=14 42x+0.4y=15
Answer: 15x-14y=22
3x+5y=7
2.5x-y=17
42x+0.4y=15
Step-by-step explanation:
The standard linear equation of two variables x and y is given by :-
Ax +By = C , where A is a positive integers, and B, and C are integers.
Therefore, from the given options the linear equations that are in standard form are
15x-14y=22
3x+5y=7
2.5x-y=17
42x+0.4y=15
[-2x+8y=14 is not in standard form ∵ -2 is a negative integer.]
Fill in the table using this function rule. Y=15-2x
4.) Resolva por x: x + 3x + 2 = 0
Answer:
4x+2=0-2
4x=-2÷4
x=0.5
Janna and Travon are creating posters for the school play. Together they will have f(t) posters after creating posters for t hours.
f(t) = 5t + 3
The function f represents the fact that every hour —
Janna and Travon can make 5 posters together, and 3 posters were already made.
Janna can make 5 posters, and Travon can make 3 posters.
Travon can make 4 posters, and Janna can make 1 poster.
Janna and Travon can make 5 posters apiece, and 3 posters were already made.
Answer:
I think is D
Step-by-step explanation:
Which linear inequality is represented by the graph?
B is the midpoint of line AC. Which statement best describes the relationship between triangles ABD and CBD?
Answer:
Triangles ABD and CBD are congruent by the SSS Congruence Postulate
Step-by-step explanation:
AB = CB
AD = CD
and BD is the common side.
The statement that best describes the relationship between triangles ABD and CBD is 'Triangles ABD and CBD are congruent by the SSS Congruence postulate'
What are similar triangles?"Two triangles are similar when their corresponding angles are equal and corresponding sides are in equal proportion."
What are congruent triangles?"Two triangles are congruent if their corresponding sides are equal and corresponding angles are equal in measure."
What is SSS congruence postulates?"Two triangles are congruent if all three sides of a triangle are congruent to corresponding three sides of other triangle."
What is SSS similarity postulates?"Two triangles are similar if all the three sides of a triangle are in proportion to the three sides of another triangle."
What is SAS similarity postulates?"Two triangles are similar if the two sides of a triangle are in the same proportion of the two sides of another triangle, and the angle between the two sides in both the triangle are equal."
What is SAS congruence postulates?"Two triangles are congruent if two sides and the angle between these two sides of one triangle are congruent to the corresponding two sides and the included angle of a second triangle."
For given question,
We have been given triangles ABD and CBD.
B is the midpoint of line AC
⇒ AB = BC
For triangles ABD and CBD,
side AB = side CB ............(since, B is the midpoint of line AC)
side BD = side BD .............(common side)
side AD = side CD ............(measures 15 units each)
So, by SSS postulates of triangle congruence triangles ABD and CBD are congruent triangles.
Therefore, the statement that best describes the relationship between triangles ABD and CBD is 'Triangles ABD and CBD are congruent by the SSS Congruence postulate'
The correct answer is option (a)
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WHATS THE SLOPE BETWEEN THE POINTS (-2,8) AND (4,20)
Answer:
m = 12 / 6 = 2 / 1 = 2
Step-by-step explanation:
Which statement is true about the slope of the graphed line?
Answer:
I cannot say without a picture, send one and I'll be glad to help.
Pam is making a border around her garden. She buys 9 bricks for her border. The bricks weigh 27 kilograms in all.
Answer:
Each brick weighs 3 kilograms.
Step-by-step explanation:
In order to find the weight per brick, we simply need to divide 27 by 9.
27 ÷ 9 = 3
Therefore, each brick weighs 3 kilograms.
Hope this helps! :D
Answer:
if you are looking for the weight for all of the bricks together then
the 9 bricks = 27 kilograms
so 27 ÷ 9 = 3
3 kilograms per brick
1 kilogram = 1000 grams
3 × 1000 = 3000
Each brick weighs 3000 grams.
Step-by-step explanation:
hope this helps and it's what you are looking for
What is the equivalent digit 3 in the number 792.134?
A 3 times 10
B 3/10
C 3 times 100
Or D 3/100
The graph of a system of equations will intersect at more than 1 point.
Always
Sometimes
Never
Answer:
sometimes
Step-by-step explanation:
Question1 of 10
Which is the best definition of an equilateral triangle?
O A. A triangle that has at least two congruent sides
OB. A triangle that has three congruent sides
O C. A triangle in which no two sides are congruent
SUBMIT
What is the answer to this equation: 40+40-20x0+3+125=
Answer:
208
Step-by-step explanation:
20 × 0 = 0
40 + 40 = 80
125 + 3 = 128
The given expression [tex]40+40-20\times 0+3+125[/tex] is reduced to 208 and this can be determined by using the arithmetic operations.
Given :
Expression - [tex]40+40-20\times 0+3+125[/tex]
The following steps can be used to evaluate the given expression:
Step 1 - Write down the expression.
[tex]=40+40-20\times 0+3+125[/tex]
Step 2 - First, multiply -20 by 0 in the given expression.
[tex]=40+40-0+3+125[/tex]
Step 3 - Now, Add 40 and 40 in the above expression.
= 80 + 3 + 125
Step 4 - Add 80 and 3 in the above expression.
= 83 + 125
Step 5 - Add 83 and 125 in the above expression.
= 208
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Insurance company executives surveyed 200 young adults about their first motor vehicle. The results of the survey are given in the following two-way table.
A survey participant is randomly selected. Let F be the event that the participant’s first motor vehicle had four cylinders and let C be the event that the participant’s first motor vehicle was a car. What is the value of P(F or C)?
A) 0.59
B) 0.68
C) 0.71
D) 0.80
Answer:
C) 0.71.
Step-by-step explanation:
To find the probability of an event occurring, we need to sum up all the probabilities of the outcomes that satisfy the event. In this case, the event "F or C" is satisfied by all the outcomes in which the participant's first motor vehicle had four cylinders or was a car.
We can see from the table that 118 out of the 200 participants had their first motor vehicle as a car, so the probability of this event occurring is 118/200 = 0.59. Similarly, we can see that the probability of the event "first motor vehicle had four cylinders" occurring is (118 + 4) / 200 = 0.62.
Therefore, the probability of the event "F or C" occurring is the sum of the probabilities of these two events occurring, which is 0.59 + 0.62 = 0.71. The correct answer is therefore C) 0.71.
The value of the probability P(F or C) is 0.80, Option D is correct.
What is Probability?It is a branch of mathematics that deals with the occurrence of a random event.
Given that a survey participant is randomly selected.
Let F be the event that the participant’s first motor vehicle had four cylinders and
let C be the event that the participant’s first motor vehicle was a car.
We need to find the value of P(F or C)
The number of P or c is 118+6+18+16+2
=160
The number of people in total are 200.
P(F or C )= 160/200
=0.80
Hence, the value of the probability P(F or C) is 0.80, Option D is correct.
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sec^4A+ tan^4A = 1 + 2tan^2A sec^2A
please help me solving it
Answer:
true
Step-by-step explanation:
sec^4A-2tan^2Asec^2A+tan^4A=1
(sec^2A-tan^2A)^2=1
1^2=1
which is true
Theo buys a slice of pizza and a bottle of water for $3. Ralph buys 3 slices of pizza and 2 bottles of water for $8. How much does a slice of pizza and a bottle of water cost
Answer:
2$ per slice of pizza
1$ per bottle of water
If you’re correct I’ll give u brainlist ‘
Answer:
Additive property of length
Step-by-step explanation:
Additive property of length
A segment has endpoints with coordinates - 3 and 4. What is the coordinate of the segment's midpoint?
9514 1404 393
Answer:
1/2
Step-by-step explanation:
The midpoint is the average of the end points:
(-3 +4)/2 = 1/2
The coordinate of the midpoint is 1/2.
2(3x-17) by using the distributive property
If a 16 oz package of cereal is $4.00, then what is the unit rate: 1 oz/.25 or .25/1 oz?
Answer:
1 ounce package of cereal will cost 4÷16=$0.25. $1 = 100 cents. $0.25=0.25x100= 25 cents. Unit cost of package is 25 cents.
Step-by-step explanation:
Answer:
first answer.
Step-by-step explanation:
Better Crocker is baking a cake. She needs 2 1/4 cups of sugar and 1 1/2 cups of brown sugar. How much sugar does she need in all?
Answer:
3 3/4 cups of sugar
Step-by-step explanation:
Find the equation in slope intercept form
(-8,-2) and (-4,6
Answer:
y = 2x + 14
Step-by-step explanation:
Answer:
y = 2x + 14
Step-by-step explanation:
Use the slope equation:
[tex]m = \frac{y2-y1}{x2-x1}[/tex]
[tex]m = \frac{6-(-2)}{-4-(-8)}\\m = \frac{8}{4}\\m = 2[/tex]
Next, find the y-intercept by subbing in one of the points and the slope into what you have so far in the equation:
(-8, -2)
y = mx + b
-2 = 2(-8) + b
-2 = -16 + b
-2 + 16 = b
b = 14
Now you have your final equation:
y = 2x + 14
4x - 9y = 1
2x + y = -5
Answer:
y=1
x=5/2
Step-by-step explanation:
4x-9y=1
(2x+y=-5)-2
4x-9y=1
-4x-2y=10
_________
-11y=11
y=-1
4x-9y=1
4x-9(1)=1
4x=10
x=10/4
x=5/2
McKenzie makes and sells quilts at an art fair. The materials for each quilt cos t$30.50. She sells the quilts for $80. If "n" represents the number of quilts she sells, which expression could be used to represent her total profits?
Answer:
Total profits = 49.50n
Step-by-step explanation:
Cost of each quilt = $30.50
Selling price of each quilt = $80
Profits = selling price - cost price
= $80 - $30.50
= $49.50
Profits = $49.50
If n = number of quilts she sells
which expression could be used to represent her total profits?
Total profits = profits of each quilt × number of quilt sold
= $49.50 × n
= 49.50n
Total profits = 49.50n
A sequence is defined by the recursive function f(n + 1) = one-halff(n). If f(3) = 9 , what is f(1) ? 1 3 27 81
Answer:
81
Step-by-step explanation:
The value of f(1) for the recursive function is (d) 81
The recursive function is given as:
[tex]f(n + 1) = \frac 13f(n)[/tex]
Multiply both sides of the equation by 3
[tex]3f(n + 1) = f(n)[/tex]
Rewrite as:
[tex]f(n) = 3f(n + 1)[/tex]
Set n = 2;
[tex]f(2) = 3f(2 + 1)[/tex]
[tex]f(2) = 3f(3)[/tex]
Set n = 1 in [tex]f(n) = 3f(n + 1)[/tex]
[tex]f(1) = 3f(1 + 1)[/tex]
[tex]f(1) = 3f(2)[/tex]
Substitute [tex]f(2) = 3f(3)[/tex]
[tex]f(1) = 3 \times 3f(3)[/tex]
[tex]f(1) = 9f(3)[/tex]
Substitute 9 for f(3)
[tex]f(1) = 9 \times 9[/tex]
[tex]f(1) = 81[/tex]
Hence, the value of f(1) for the recursive function is (d) 81
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Juan wants to solve the equation below using the Distributive Property.
4(6 – x) = 12
What should Juan’s first step be?
A. Multiply 4 by x.
B. Subtract x from 6.
C. Distribute 4 to (6 – x).
D. Subtract 4 from both sides.
Answer:
C. Distribute 4 to (6 - x).
Step-by-step explanation:
Person above is right.
Juan’s first step should be C. Distribute 4 to (6 – x).
What is distributive property of multiplication over addition?Suppose a, b and c are three numbers. Then we have:
a(b + c) = a b + a c
(a(b+c) means a multiplied to (b+c). The sign of multiplication is usually hidden when using symbols and both quantities which are in multiplication are written together without space)
We are given an equation as;
4(6 – x) = 12
Here Juan wants to solve the equation, using the Distributive Property.
thus, 4(6 – x) = 12
First step is to distribute 4.
4(6) – 4(x) = 12
Then solve;
24 - 4x = 12
x = 3
Hence, Juan’s first step should be C. Distribute 4 to (6 – x).
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Question 10 of 10
If f(x) = 4x - 12, what is f(2)?
O A. 4
B. -20
C.-4
O O O
D. 8
Answer:
Step-by-step explanation:
f(x) = 4x - 12
f(2) = 4*2 - 12
f(2) = 8 - 12
f(2) = - 4
A sunflower grows at a rate of 4cm each day.
How many days does it take to grow from a height of 80cm to more than 1.06m?
Answer:
6.5 days
Step-by-step explanation:
106 - 80 =26
26/4= 6.5 days
Answer:
for 80cm
1 =4 cm
x=80cm
4 cmx=80 cm
4 cm. 4 cm
x=20 days
Step-by-step explanation:
1 is equal to 4cm
there x is equal to 80cm
cross multiply
then divid though by 4 because it has letter x
and finally you 20 days as your answer.