Give the values of the coefficients [a], [b], and [c] regarding the product in the form of ax^2+bx+c. Use "0" if the term isn't present.
![Give The Values Of The Coefficients [a], [b], And [c] Regarding The Product In The Form Of Ax^2+bx+c.](https://brainimage.s3.us-east-005.backblazeb2.com/contents/attachments/7Humy8GaNg1XFNYJhqLhm4JDncNYJQTR.png)
Answers
==================================================
Explanation:
Expand out the expression using the FOIL rule
(x+7)(x-7)
x^2 - 7x + 7x - 49
1x^2 + 0x - 49
We see that a = 1, b = 0, c = -49
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Another way to expand is to do the following
(x+7)(x-7)
y(x-7) .... let y = x+7
xy - 7y .... distribute
x( y ) - 7( y )
x( x+7 ) - 7( x + 7 ) ... replace y with x+7
x^2 + 7x - 7x - 49 .... distribute
1x^2 + 0x - 49
We get the same result.
-------------
Lastly, a shortcut can be used as yet another method to expand.
The shortcut is the difference of squares rule
(a + b)(a - b) = a^2 - b^2
In this case, a = x and b = 7, so,
(a + b)(a - b) = a^2 - b^2
(x + 7)(x - 7) = x^2 - 7^2
(x + 7)(x - 7) = x^2 - 49
(x + 7)(x - 7) = 1x^2 + 0x - 49
Related Questions
which of the following is a solution to the inequality 4x-5y<10
Answers
Answer:what is the following
Step-by-step explanation:
Please Help!!!!!!!
Bert keeps honey bees on his farm. When he first started, he used a 6-frame beehive that held 40 pounds of honey. Now, he uses a 30-frame beehive. It has the same ratio of frames to honey as the smaller beehive. How much honey does Bert's new beehive hold?
Answers
Answer:
180?
Step-by-step explanation:
Answer: The new beehive will hold 200 pounds of honey
Explanation: 30 divided by 6 is five so 40*5 is 200
Suppose the y-intercept of a line is - 7 and the slope of the line is
-4/3
Which statement is true about the line?
A)The line falls from left to right.
B)The y-intercept is at (-7,0)
C)The equation of the line is y= 4/3x+7
D)The equation of the line is y= -4/3x+7
Answers
Answer:
A
Step-by-step explanation:
Since the slope is negative the line falls left to right.
The equation of the line falls from left to right.
What is a slope?The slope of a line, commonly referred to as its gradient, in mathematics is a numerical representation of the steepness and direction of the line.
If a line passes through two points (x₁ ,y₁) and (x₂, y₂) ,
then the equation of line is
y - y₁ = (y₂- y₁) / (x₂ - x₁) x (x - x₁)
To find the slope;
m = (y₂- y₁) / (x₂ - x₁)
Given, the y-intercept of a line is - 7 and the slope of the line is -4/3.
And the standard form of the slope-intercept form:
y = mx + b,
where m is the slope and b is the y-intercept.
Here, m = -4/3 and b = -7.
Substituting the above values to the standard slope-intercept form,
y = (-4/3)x + (-7)
y = (-4/3)x -7
And the line falls from left to right.
Therefore, the line falls from left to right.
To learn more about the slope;
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HELP Which of the following is the measure of CBA?
A. 90°
B. 39
C. 78
D. 45°
Answers
How do you divide decimals 10.305 divided by2.5?
Answers
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[tex]10.305 \div 2.5 = [/tex]
[tex]10.305 \div \frac{10}{4} = \\ [/tex]
[tex]10.305 \times \frac{4}{10} = \\ [/tex]
[tex] \frac{10.305 \times 4}{10} = \\ [/tex]
[tex] \frac{41.220}{10} = \\ [/tex]
[tex]4.1220[/tex]
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what is the value of x if a² + ax - 10 is divided by a-2?
help with computation po
Answers
Answer:
x = 3
Step-by-step explanation:
We need it in factorized form to get x.
If the quadratic equation can be divided by a-2 the first part is:
(a-2)
Now to get a², the a must be multpilied by itself. So
(a-2)(a)
To get -10, -2 must be multiplied by 5. So:
(a-2)(a+5)
we can expand to get x
a² + 5a - 2a -10
a² + 3a - 10
a² + ax - 10
x = 3
f(x) = 2x^2 + 6x – 4
g(x) = 5x^3 – 6x^2-3
Find (f +g)(x).
Answers
Answer:
5x^3 - 4x^2 + 6x - 7Step-by-step explanation:
Given
f(x) = 2x^2 + 6x – 4 g(x) = 5x^3 – 6x^2-3To find
(f +g)(x)Solution
(f +g)(x) = f(x) + g(x) =2x^2 + 6x - 4 + 5x^3 - 6x^2 - 3 =5x^3 - 4x^2 + 6x - 7At the age of 28, you decide to invest into a 20-Year Endowment insurance policy. The face value for the policy that you are interested on is $91,500. Using the provided table, determine the annual premium for a 28-year-old healthy female seeking a 20-Year Endowment. Use the table provided below and round your answer to the nearest cent where necessary. A 7-column table with 4 rows title Permanent Insurance. Column 1 is labeled Age with entries 25, 26, 27, 28. Column 2 is labeled Whole life male (dollars) with entries 16.38, 16.91, 17.27, 17.76. Column 3 is labeled whole life female (dollars) with entries 14.38, 14.77, 15.23, 15.66. Column 4 is labeled 20-payment life male (dollars) with entries 28.40, 29.11, 29.97, 30.68. Column 5 is labeled 20-payment life female (dollars) with entries 25.04, 25.96, 26.83, 27.54. Column 6 is labeled 20-year endowment male (dollars) with entries 37.02, 37.67, 38.23, 38.96. Column 7 is labeled 20-year endowment female (dollars) with entries 34.87, 35.30, 35.96, 36.44. a. $3,334.26 c. $3,229.95 b. $3,290.34 d. $3,190.61
Answer is A edge
Answers
Answer:
A
Step-by-step explanation:
Answer:
the is a. $3,334.26
Step-by-step explanation:
The scores on a standardized test are normally distributed. If a random sample of standardized test scores is taken and the confidence interval is (92.3,120.7), what is the sample mean x¯?
Answers
Answer: 106.5
Step-by-step explanation:
We know that, Confidence interval for population mean is given by :-
( Sample mean - Margin of error , Sample mean + Margin of error)
Given: confidence interval is (92.3, 120.7).
i.e. Sample mean - Margin of error = 92.3 (i)
Sample mean + Margin of error = 120.7 (ii)
Adding (i) and (ii) , we get
2( Sample mean ) = 213
⇒ Sample mean = 106.5
Hence, the sample mean [tex](\overline{x})[/tex] = 106.5
what is the square root of 3x plus 16 and equal to 7
Answers
Answer:
11
Step-by-step explanation:
√3x+16=7
3x+16=7^2
3x+16=49
3x=49-16
3x=33
X=33/3
X=11
So the answer is 11
y=- 4
A slope: 0; y-intercept: -4
B slope: undefined; y-intercept: none
C slope: 1; y-intercept:-4
D slope: -4; y-intercept: -4
Answers
Slope is 0, y = -4
Answer:
A
Step-by-step explanation:
The slope is 0 and the y-intercept is -4 because that is where the graph crosses the y-intercept :)
Simplify: –3|–2| + 4|–5
Answers
Answer:
14
Step-by-step explanation:
–3|–2| + 4|–5|
-3 · 2 + 4 · 5
-6 + 20
14
please help!! this is due at 3 i don’t know how to do this one
Answers
Answer: y = 1/3x + 2
Step-by-step explanation:
You basically use the rise over run method and see the slope increases by 1/3 ( it comes up one and goes right 3 ) and it starts at 2
Using Rise/Run — rise is the line rising, like going up, and run is the line running, like running to the side. It rises by 1, then runs by 3. That’s how you get 1/3x. Then, you find the Y variable, which is 2, and that it how you get the answer.
Two parallel lines, a and b, are cut by transversal p. What is the
measure of Zx?
11
10
65°
P
A 65
75
105
D 115
Answers
The measure of x is 115° from the given parallel lines. Therefore, option D is the correct answer.
What are angles of parallel lines?Angles in parallel lines are angles that are created when two parallel lines are intersected by another line called a transversal.
Let the interior alternate angle to 65° be y.
Now, y=65° (Alternate interior angles are equal)
Here, y°+x°=180° (Adjacent angles)
65°+x°=180°
x°=115°
Therefore, option D is the correct answer.
To learn more about the alternate interior angles visit:
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4x + 16y = -19
-2x - 8y = 10
Answers
Answer:
No solution.
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASEquality PropertiesAlgebra I
Solving systems of equations using substitution/eliminationSolving systems of equations by graphingStep-by-step explanation:
Step 1: Define systems
4x + 16y = -19
-2x - 8y = 10
Step 2: Rewrite systems
-2x - 8y = 10
Add 8y to both sides: -2x = 8y + 10Divide -2 on both sides: x = -4y - 5Step 3: Redefine systems
4x + 16y = -19
x = -4y - 5
Step 4: Solve for y
Substitution
Substitute in x: 4(-4y - 5) + 16y = -19Distribute 4: -16y - 20 + 16y = -19Combine like terms: -20 ≠ -19Here we see that -20 does not equal -19.
∴ This systems of equations has no solution
Step 5: Graph
Check the systems.
Hard to see, but they are parallel lines.
hey. help pls and thank you
Answers
(0, -8) and (2, -2)
To find slope use this equation:
(Y2 - Y1)/(X2 + X1)
Input the points into the equation:
(-2 - (-8))/(2 - 0) —> (-2 + 8)/(2 - 0)
You find that it becomes:
6/2
Then simplify it:
3/1
So the answer is A
Find the quotient: (27^x+3)/(9^x+2)
Answers
Answer:
Mutiply each bracket together and then separate the terms with x
Given that
5x:9=7:3
Calculate the value of
x
Answers
Answer:
x = 4.2Step-by-step explanation:
Given 5x:9=7:3 To findThe value of xSolution5x:9=7:3 5x = 7*9/35x = 7*35x = 21x = 21/5x = 4.2Answer:
4.2
Step-by-step explanation:
5x:9=7:3
5x/9=7/3
5X×3=7×9
15x=63
X=63/15
X=4.2
So the value of the X is 4.2
Need answer quickly!
Which expression is equivalent to StartFraction b Superscript negative 2 Baseline Over a b Superscript negative 3 Baseline EndFraction? Assume a not-equals 0, b not-equals 0.
StartFraction a Over b Superscript 5 Baseline
StartFraction 1 Over a b Superscript 5 Baseline Endfraction
StartFraction a cubed b Over 1 EndFraction
StartFraction b Over a EndFraction
Answers
Answer:
2
Step-by-step explanation:
Can someone help please
Answers
Answer:
BCEDAI hope this helps!
3. Which choice is the correct way to write 0.0207 in scientific notation? * 17 points
207 x 103
°
2.07 x 10-2
Option 1
O Option 2
207 x 10-3
2.07 x 10-3
Answers
When using scientific notation you want to multiply it by ten with and exponent thy will move the decimal x many spaces. In this problem, the decimal was moved two spaces to the left of 2.07 so the exponent is 10^-2.
Hope that helps
Given that, 1 Chinese yuan = £0.13, convert £314 into Chinese yuan. Give
your answer to the nearest yuan.
Chinese yuan
Answers
Answer:
2415 Chinese yuan (rounded off to nearest yuan)
Step-by-step explanation:
£0.13 = 1 Chinese yuan
£314 = [tex]\frac{314}{0.13}[/tex]×1 Chinese yuan
= 2415 Chinese yuan (rounded off to nearest yuan)
A game involves drawing a single card from a standard deck. One receives 60 cents for an ace, 30 cents for a king, and 5 cents for a red card that is neither an ace nor a king. If the cost of each draw is 10 cents, what is the expected value?
Answers
Answer:
The expected game value is -1 cent
Step-by-step explanation:
Here, we want to calculate the expected value of the game
We have 4 aces and 4 kings, including 26 red cards
The number of aces is 4
Probability of drawing an ace is 4/52 = 1/13
Probability of drawing a king is also 4/52 = 1/13
There are 26 red cards
The number of red cards that are neither ace nor king
There are 2 red aces and 2 red kings
So the number of cards that are red but are not
aces nor kings are 26-2-2 = 22
The probability of selecting this is 22/52 = 11/26
So the expected value is simply the probability multiplied by the amount
Thus, we have;
(60 * 1/13) + (30 * 1/13) + (5 * 11/26)
= 60/13 + 30/13 + 55/26
= (120 + 60 + 55)/26 = 9.038 cents which is approximately 9 cents
we subtract this from the 10 cents we are playing with, thus we are left with 9-10 = -1 cent
1.45
--
Decimal as fraction
Answers
Answer:
1.45 as a fraction is 29/20
Step-by-step explanation:
The diagram shows a triangle.
2x
60°
2x
What is the value of x?
Х=
Answers
So you have
4x+60=180
4x=120
x=30
Answer:
X=30
Step-by-step explanation:
It is a equilateral triangle so all side are the same
You would add the x's so it would be 4x + 60 = 180
Thats 4x = 120
Divide 120 by 4 and u get 30
What is 0.0033 in scientific notation?
Answers
Moving the decimal right gives a negative power
Answer:
[tex]=3.3*10^{-3}[/tex]
D
G
M
C
B В
K
Which points in the graph are in Quadrant II?
A) E, F, H, N
B) A, L
OC) A, L, D, F
Answers
Answer:
A) E, F, H, N
Step-by-step explanation:
I think so......
please help me with math
Answers
An element with a mass of 650 grams decays by 13.2% per minute. To the nearest minute, how long will it be until there are 220 grams of the element remaining?
Answers
Answer: 8
Step-by-step explanation:
The time taken where there is 220 grams of the element remaining should be considered as the 5 minutes.
Calculation of the time taken:Since An element with a mass of 650 grams decays by 13.2% per minute. and there is 220 grams of the element remaining.
So, the mass decays be
= 650 - 220
= 430
Now the total percentage be like
[tex]= 430 \div 650[/tex]
= 66.15%
Now the time taken should be
= [tex]66.15\div 13.2[/tex]
= 5 minutes
The time taken where there is 220 grams of the element remaining should be considered as the 5 minutes.
Learn more about time here: https://brainly.com/question/21207761
Graph this compound inequality: x 9.8
Answers
On the right side of the graph , go up 9 and go left 8