Answer:
(x+5)(2x^2 +8)
Multiply (x+5) in both sides
(x+5)(2x^2) × (x+5)(8)
Answer is a
What is the quotient of the synthetic division problem below, written in polynomial form?
-1| 1 7 15 9 7
Answer:
Step-by-step explanation:
If we have 5 terms to the right of the -1 outside the box thing, that means that our original polynomial is a 4th degree (the degree is one lower than the number of terms in order to allow for the constant which has no variable). Set up the synthetic division as shown in the problem. The rule is to bring down the first term, the 1 to the right of the box, multiply it by the number outside, -1, and put that product up under the next number in line inside the box. Like this:
-1 | 1 7 15 9 7
-1
1
Now add straight down, multiply the sum by -1 and put that product up under the next term in line, the 15:
-1 | 1 7 15 9 7
-1 -6
1 6
Then add straight down again, multiply the sum by -1 and put that product up under the next term in line, the 9:
-1 | 1 7 15 9 7
-1 -6 -9
1 6 9
Then do the same thing. Add straight down, multiply the sum by -1 and put the product up under the next term in line, the 7:
-1 | 1 7 15 9 7
-1 -6 -9 0
1 6 9 0 7
This is the final result. The last number, the 7 is the remainder, but the rest of it makes up what we call the depressed polynomial and is a polynomial that is one degree less than the degree we started with. So this depressed polynomial is a 3rd degree. The numbers are the coefficients on the x terms:
[tex]1x^3+6x^2+9x+0R7[/tex] or more simply stated:
[tex]x^3+6x^2+9xR7[/tex]
The length of a boat in scale drawing is 8 in. Find the length of the actual
boat if the scale is 1 in = 3 ft.
A)24 in
B.)24 ft
C.) 8 ft
D.) 11 in.
Answer:
B. 24 ft
Step-by-step explanation:
1 in = 3ft
8 in must equal 24 ft since 8 in x 3 ft is 24 ft. So, B.
The length of the boat will be equal to 24 ft.
What is the scale factor?The scale factor is defined as the proportion of the new image's size to that of the previous image. decision-making.
Given that:-
The length of a boat in scale drawing is 8 in. Find the length of the actual boat if the scale is 1 in = 3 ft.The actual length will be calculated as follows:-
1 in = 3 ft.
8 in = 8 x 3 ft
8 in = 24 ft.
Therefore the length of the boat will be equal to 24 ft.
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Find the zeroes of the following quadratic polynomials and verify the relationship between
the zeroes and the coefficients.
(i)4u^2+8u
Answer:
Hello,
Step-by-step explanation:
Since 4u²+8u=4u(u+2)
Zeroes ={0,-2}
Coefficients={4,8}
But i don't know the relationship.
PLS HELP!
What effect will replacing x with (x + 7)have on the graph of the equation
y = x^2
Answer:
The answer would be C.
Compared to the original graph (red), the new graph (blue) is shifted 7 units to the left.
Step-by-step explanation:
Answer:
shift 7 units to the LEFT
Step-by-step explanation:
How many index laws are there?
Answer:
There are three laws of indices.
If f(x)= 2x^2+1, what is f(x) when x=3
Hey there!
f(x) = 2x^2 + 1
y = 2x^2 + 1
y = 2(3)^2 + 1
3^2
= 3 * 3
= 9
y = 2(9) + 1
2(9) = 18
y = 18 + 1
y = 19
Answer: y = 19
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
The answer is:
f(3) = 19
Work/explanation:
To evaluate the function, I plug in 3 for "x" :
[tex]\rm{f(x)=2x^2+1}[/tex]
[tex]\rm{f(3)=2(3)^2+1}[/tex]
Then, I square 3:
[tex]\rm{f(3)=2\times9+1}[/tex]
Take caution here; we do not add 9 + 1, we multiply 2 times 9 first, and only then, we add 1.
[tex]\rm{f(3)=18+1}[/tex]
[tex]\rm{f(3)=19}[/tex]
Hence, the answer is f(3) = 19.Please help!! I have no idea how to do this
Answer:
i have also no idea but plz mark me as brainlist
b) 5(2x - 4)
Expand the following
Answer:
10x-20
Step-by-step explanation:
(5×2x)-(5×4)
10x-20
Plz answer will give brainliest
These triangles are congruent by SAS, therefore HI and IJ will be the same length.
3v = v + 60
2v = 60
v = 30
Hope this helps!
Which of the following could be the first step in solving the equation below ? 5 ^ x = 21
Answer:
D
Step-by-step explanation:
usually when your variable is an exponent you always take the log of both sides.
The possible first step of solving the equation is log 5^x = log 21
How to determine the first step?The equation is given as:
5^x = 21
Take the logarithm of both sides of the equation
log 5^x = log 21
The above represents the possible first step of solving the equation
Hence, the possible first step of solving the equation is log 5^x = log 21
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Carol wants to build a fence around her
garden to prevent rabbits from eating the
plants. The fencing costs $15 per metre.
How much will it cost to enclose a square
garden with an area of 81 m2?
(Hint: Area of a square = 5?, perimeter of a
square = 4s)
Answer:
540$
Step-by-step explanation:
9x9 = 81
9 + 9 + 9 + 9 = 36
36 x 15 =540
Samuel played a video game. He gained some points, lost 87 points, and
finished with less than 320 points, Which of the following inequality
represents the given situation?
A.) n-87 < 320
B.) N + 87 < 320
C.) N-87 = 320
D.) n +87= 320
Answer:
A
Step-by-step explanation:
The correct inequality that represents the given situation is: A.) n - 87 < 320.
How to explain the equationThe situation states that Samuel played a video game and gained some points. Let's represent the points he gained as 'n'.
Next, it is mentioned that he lost 87 points. To represent this in the inequality, we subtract 87 from the initial points gained, which gives us 'n - 87'.
Finally, the situation specifies that Samuel finished with less than 320 points. This means that the final score, represented by 'n - 87', is less than 320.
This inequality represents that the initial points gained by Samuel (n) minus 87 points is less than 320 points, indicating that his final score is less than 320 points after losing 87 points.
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Does anyone know how to do these?
Answer:
D.
Step-by-step explanation:
f(x) = [tex]\sqrt[3]{4x}[/tex]
g(x) = 2x + 3
[tex]\frac{f}{g}[/tex] (x) = 'f' divided by 'g'
[tex]\frac{\sqrt[3]{4x} }{2x+3}[/tex] Substitute.
x cannot be -[tex]\frac{3}{2}[/tex] because that would create a zero in the denominator.
That's a no-no.
It makes it 'undefined'
What should be subtracted from thrice the rational number -8/3 to get
5/2?
Answer: -21/2 or -10.5
Step-by-step explanation:
Let x be the number that is going to be subtracted from the rational number
3 × (-8/3) - x = 5/2 ⇒ Write the equation
-8 - x = 5/2 ⇒ Do multiplication
-8 - x + x = 5/2 +x ⇒ Add x on both sides
-8 = 5/2 + x ⇒ Simplify
-8 - 5/2 = 5/2 + x - 5/2 ⇒ Subtract 5/2 on both sides
x = -21/2 = -10.5 ⇒ Simplify
Hope this helps!! :)
Please let me know if you have any questions
Lucia gave Brenda half of the cash she had in the store counter at the end of the day. Brenda put the money in her purse and added one half of the amount she had from her own savings. Brenda had saved half of what Lucia earned in the store that day. Brenda took her purse and went to the dog shelter and brought food and treat packet for 5 dogs. Each packet cost her $15. How much money did Lucia earn at the store that day?
Answer:
$100
Step-by-step explanation:
The amount Lucia gave Brenda = Half the amount in the store counter
The amount Brenda added to the money Lucia gave her = Half the amount in her (Brenda) savings
The amount Brenda had saved = Half of the amount Lucia earned in the store that day
The number of food and treat packets Brenda bought = 5
The cost of each packet = $15
Let x represent the amount Lucia earned and let y represent the amount Brenda saved
We have;
x/2 = y
x/2 + y/2 = 15 × 5 = 75
Therefore, we get;
y + y/2 = 75
(3/2)·y = 75
y = 75 × 2/3 = 50
y = 50
From x/2 = y, we have;
x/2 = 50
x = 2 × 50 = 100
The amount Lucia earned in her store that day, x = $100
Select the relationship that does represent a function.
Answer:
c
Step-by-step explanation:
A ball is thrown vertically with a velocity of18 m/s. It’s height, h, in meters above the ground after t seconds is given by the equation: h= -5t2+10t+35. Algebraically, determine the following.
Find The maximum height of the ball and the time it takes to reach that height
The time it takes the ball to hit the ground.
PLEASE HELP!
Answer:
Step-by-step explanation:
First of all, something is wrong with either the wording in the problem or the equation that you wrote; if the upward velocity is 18, we should see 18t in the equation, not 10t. I solved using 10t.
To find the max height of the ball and the time it took to get there, we need to complete the square on this quadratic and solve for the vertex. That will give us both of those answers in one!
To complete the square, set the quadratic equal to 0 and then move over the constant, like this:
[tex]-5t^2+10t=-35[/tex] The rule is that we have to have a 1 as the leading coefficient, and right now it's a -5, so we factor that out, leaving us with:
[tex]-5(t^2-2t)=-35[/tex] and now we are ready to begin the process to complete the square.
The rule is: take half the linear term, square it, and add it to both sides. Our linear term is a -2 (from the -2t); half of -2 is -1, and -1 squared is 1. We add in a one to both sides. BUT when we put the 1 into the set of parenthesis on the left, we didn't just add in a 1, we have that -5 out front that is a multiplier. That means that we actually added in a -5 after it's all said and done.
[tex]-5(t^2-2t+1)=-35-5[/tex] and we'll clean that up a bit. The right side is easy, that's a -40. The left side...not so much.
The reason we complete the square is to put this quadratic into vertex form. Completing the square creates a perfect square binomial on the left, which for us is, along with the simplification on the right:
[tex]-5(t-1)^2=-40[/tex]
Lastly, we move the -40 back over by adding and setting the quadratic back to equal y:
[tex]-5(t-1)^2+40=y[/tex] and we see that the vertex is (1, 40). That translates to a height of 40 meters at 1 second after launch. That's the vertex which, by definition, is the max or min of the parabola. Because our parabola is negative, the vertex for us is a max.
To find out how long it takes the ball to hit the ground, set the quadratic equal to 0 and factor however it is you are currently doing this in class. You can continue to factor from the vertex form we have the equation in if you'd like. Let's do that, since we are already most of the way there. Begin here:
[tex]-5(t-1)^2=-40[/tex] and divide both sides by -5 to get
[tex](t-1)^2=8[/tex] and take the square root of both sides to "undo" that squaring on the left:
t - 1 = ±√8. Now add 1 to both sides to isolate the t:
t = 1 ± √8. In decimal form:
t = 1 + √8 is 3.828 seconds and
t = 1 - √8 is -1.828 seconds.
Since we all know that time will NEVER be a negative value, the time it takes the ball to hit the ground is 3.828 seconds.
A ladder leans against the side of a house. The angle of elevation of the ladder is 68° when the bottom of the ladder is 12 ft from the
side of the house. Find the length of the ladder. Round your answer to the nearest tenth.
Answer:
open degrees
Step-by-step explanation:
because I am added all the numbers so it comes
I can't understand that question
need help asap pleaseeeeeeeeeeeeeeeeeeeeeeeeeee
PLEASEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE
9514 1404 393
Answer:
4a. 177
4b. 248
5a. 27
5b. 9
5c. 12
Step-by-step explanation:
4.a) x is 3/4 of 1/2 of all, so is 3/8 of all.
x = 3/8·472
x = 177
b) x is 2/5 of 2/3 of all, so is 4/15 of all.
x = 4/15·930
x = 248
__
5.Elaine gave her grandmother 3/4 of 48 = (3/4)(48) = 36 of the flowers. Then Elaine had 48 -36 = 12 flowers left.
Her grandmother gave 1/4 of 36 flowers = (1/4)(36) = 9 of the flowers to her neighbor. Elaine's grandmother has 36 -9 = 27 flowers now.
Elaine's grandmother has 27 flowersthe neighbor has 9 flowersElaine has 12 flowersRonald's home is located 33 miles west and 56 miles north from his hotel. Find the distance from his hotel to his home.
The distance from his hotel to his home is 89 miles.
What is the distance?Distance is defined as an object's entire movement without regard for direction. The distance can be defined as how much ground an object has covered regardless of its starting or ending place.The quantity of space between two things, or the state of being far apart, is defined as distance. A five-foot gap between two tables is an example of distance. The disparity between two sides of an issue is an example of distance.Solution -Given - Ronald's home is located 33 miles west and 56 miles north of his hotel.
To find the distance between Ronald's hotel to his home, add the distance.
∴ [tex]33 + 56 = 89[/tex]
Therefore, the distance from his hotel to his home is 89 miles.
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Please help me with this.. and tell correct answer..
Answer:
Step-by-step explanation:
55 +80 + ∠C = 180 {Angle sum property}
135 + ∠C = 180
∠C = 180 - 135
∠C = 45
The side opposite to the biggest angle is the longest side
Biggest angle is ∠B. So the longest side is AC
Smallest angle is ∠C. So, the shortest side is BA
Write the expression as a single function of alpha.
cos(180°-alpha)
Answer:
-cos α
is the answer-------
Part A: The sun produces 3.9 ⋅ 1033 ergs of radiant energy per second. How many ergs of radiant energy does the sun produce in 1.55 ⋅ 107 seconds? (5 points)
Part B: Which is the more reasonable measurement of the diameter of a human hair:
1.8 ⋅ 10−2 mm or 1.8 ⋅ 102 mm? Justify your answer. (5 points)
Please Explain.
Part A: The amount of ergs of radiant energy, Q produced in time t = 1.55 × 10⁷ s is 6.045 × 10⁴⁰ ergs.
Since the sun produces 3.9 × 10³³ ergs of radiant energy per second, which is a rate, r = 3.9 × 10³³ ergs/s.
We require the amount of ergs of radiant energy, Q produced in time t = 1.55 × 10⁷ s.
So, this heat Q = rate × time
Q = rt
Substituting the values of r and t into the equation, we have
Q = 3.9 × 10³³ ergs/s × 1.55 × 10⁷ s
Q = 6.045 × 10³³ × 10⁷ ergs
Q = 6.045 × 10⁴⁰ ergs
So, the amount of ergs of radiant energy, Q produced in time t = 1.55 × 10⁷ s is 6.045 × 10⁴⁰ ergs.
Part B: The measurement of the diameter of human hair 1.8 × 10⁻² mm is more reasonable.
Since 1.8 × 10⁻² mm = 1.8 × 10⁻² mm × 1cm/10 mm = 1.8 × 10⁻³ cm (since 10 mm = 1 cm) and
1.8 × 10² mm = 1.8 × 10² mm × 1 cm/10 mm = 1.8 × 10 cm = 18 cm (since 10 mm = 1 cm)
Since the human hair is small and its diameter of human hair cannot be 18 cm since 18 cm is a large diameter, then the diameter of the human hair has to be 1.8 × 10⁻³ cm = 1.8 × 10⁻² mm which is a small value.
So, measurement of the diameter of human hair 1.8 × 10⁻² mm is more reasonable.
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Answer:
WAS THE OTHER ANSWER CORRECT????
Step-by-step explanation:
what is x(2)+y(6) if x=4 and y=(-4)
Also, can anyone just talk?
Answer:
-16
Step-by-step explanation:
Follow . PEMDAS
plug the numbers in
4*2 =8 and -4*6=24
add both...
-16.
Step-by-step explanation:
4(2)+(-4)(6)
8-24
-16
hope it helps..
(6x^2-4x-5)(2x^2+3x)
Answer:
[tex]\left(6x^2-4x-5\right)\left(2x^2+3x\right)[/tex]
[tex]=6x^2\cdot \:2x^2+6x^2\cdot \:3x+\left(-4x\right)\cdot \:2x^2+\left(-4x\right)\cdot \:3x+\left(-5\right)\cdot \:2x^2+\left(-5\right)\cdot \:3x[/tex]
[tex]=6\cdot \:2x^2x^2+6\cdot \:3x^2x-4\cdot \:2x^2x-4\cdot \:3xx-5\cdot \:2x^2-5\cdot \:3x[/tex]
[tex]=12x^4+10x^3-22x^2-15x[/tex]
OAmalOHopeO
F={(-1, 2), (3, 2), (4,2), (0, 2)} Is Fa function and why/why not?
Answer:
yes it is a function A
Step-by-step explanation:
can i get some help. did it 3 times and still not sure.
Answer:
18
Step-by-step explanation:
The height of the cone is 8, and the diameter is 3. This means that the radius is 3/2, or 1.5. We can plug everything into the formula (using 3 for pi):
[tex]\frac{3(1.5)^2(8)}{3}[/tex]
We can cancel out the 3 from the numerator and the denominator, so we are left with 1.5^2 times 8. 1.5 squared is equal to 2.25, and 2.25 times 8 is equal to 18.
1. 80 = -10b
2. 6 = 2n
3. -16r = 32
1.
2.
3.
Answer:
1. - 8
2. 3
3. - 2
Step-by-step explanation:
1.
80 = - 10b
- 10b = 80
b = 80 / - 10
b = - 8
2.
6 = 2n
2n = 6
n = 6 / 2
n = 3
3.
- 16r = 32
r = 32 / - 16
r = - 2
Since a sample data shows that a linear correlation coefficient between two variables is about 0.08, then it rules out a possible causal relationship between the two variables.
Answer:
False
Explanation:
A linear correlation coefficient is used to measure the the level of relationship between two seemingly dependent and independent variables. A relationship exists between two variables in linear correlation if one affects the other, either negatively or positively never zero. If linear correlation has a negative value then one variable increases while the other decreases. If linear correlation coefficient is positive then both variables increase together. If zero then there is no relationship as one variable's increase or decrease has nothing to do with the other. In the case above, correlation is positive at 0.08 hence we can say that there is a relationship between the two variables.
PLEASE ANSWERRRRR UR SO COOL IF YOU DOOOO PLSSSS
Answer:
3x-7y and -7y+ 3x
Step-by-step explanation:
3x + (-7y) = (-7y) + 3x
Answer:
Step-by-step explanation:
The first set of expressions are equivalent; they are identical except for order of the terms.
