Answer:
BC= 5
step by step explanation
Erik used the Factor Theorem to find the remainder of 2x3-4x2-28x+6 divided by x+3. If he calculated the remainder to be 0, what does that tell him?
Step-by-step explanation:
x + 3 = 0
x = - 3
f(x) = 2x³ - 4x² - 28x + 6
f(- 3) = 2(- 3)³ - 4(- 3)² - 28 x (- 3) + 6
= 2 x (- 27) - (4 x 9) + 84 + 6
= - 54 - 36 + 90
= - 90 + 90
= 0
Therefore,
x + 3 is factor of 2x³ - 4x² - 28x + 6
〖x/y^(-1) )〗^0 〖(x^(-1)/y^2 )〗^2 〖(xy^2)〗^(-1)
Exponent solving
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Henry deposits $7500 in an account earning 2.75% interest compounded monthly. What is the balance in his account after 4 years?
A.$27,579.67
B.$20,160
C.$10,420.49
D.$8371.03
Answer:
Answer is D
Step-by-step explanation:
What's the slope of the line passing through the points 9, 7 and 9 , -1
Answer:
Undefined slope
Human:
✧・゚: *✧・゚:* Answer: *:・゚✧*:・゚✧
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PLS DO BOTH PROBELMS
1.) 510 miles
Take the values you have been given which is 153 miles and 3 gallons of gas
Now divide 153 by 3 to find put the Miles per gallon (MPG)
153/3=51
now take 51 and multiply it by 10
51x10=510
2.) $16 per yard of plywood
Let's take the values we have been given
3/4 of a yard of plywood and $12 for it
Now let's divide it
12/ 3/4=$16
If x + y = 12 and x = 2y, then x=
The value of x is equal to 8.
Given the following equation;
[tex]x + y = 12[/tex] .....equation 1
[tex]x = 2y[/tex] .....equation 2
To find the value of x, we would solve the system of equations by using the substitution method to determine the value of y;
Substituting eqn 2 into eqn 1, we have;
[tex]2y + y = 12[/tex]
[tex]3y = 12\\\\y = \frac{12}{3}[/tex]
y = 4
Next, we would solve for the value of x;
From equation 2;
[tex]x = 2y\\\\x = 2(4)[/tex]
x = 8
Therefore, the value of x is equal to 8.
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Martin Company currently produces and sells 33,000 units of product at a selling price of $15. The product has variable costs of $5 per unit and fixed costs of $43,000. The company earns a total contribution martin of
Answer:
$330,000
Step-by-step explanation:
The selling price per unit is $15
The variable cost per unit is $5
Units sold is $33,000
The contribution margin can be calculated as follows
(15-5)×33000
= 10 × 33000
= 330,000
Hence the contribution margin is $330,000
What is the exact circumference of the circle?
A 10π ft
B 20π ft
C 40π ft
D 60π ft
Answer:
[tex]\huge\boxed{Answer\hookleftarrow}[/tex]
Given,
Diameter (d) = 20 ft
Radius (r) = ?
[tex]r = \frac{d}{2} \\ r = \frac{20}{2} \\ r = 10 \: \: ft[/tex]
____________________
Now, we've to find the exact circumference (c) ..
[tex]c = 2\pi \: r \\ c = 2\pi \times 10 \\ c = 20\pi ft[/tex]
⎆ The answer is [tex]\large\bold{20π \ ft (option \ C)}[/tex]
____________________
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Answer:
Option b) total number of miles for the trip .
maybe this was your answer
Jeffrey buys a microscope priced at $333.74. Shipping and handing are an additional 10 of the price. How much shipping and handling will Jeffrey pay?
What is the area of the shape below?
39 yd2
30 yd2
36 yd2
24 yd2
What is a No solution? What is a infinite solution?
Answer:
No solution would mean that there is no answer to the equation. ... Infinite solutions would mean that any value for the variable would make the equation true?
Divide £60 in a ratio of 2:1
£40 and £20
Step-by-step explanation:
let the parts be 2x and x (2:1)
2x+x=£60
or, 3x= £60
or, x= £20
2x=2×£20=£40
x=£20
Find the minimum or maximum value of the function g(x)=−4x^2+16x−15
please answer
A number line is shown below. The numbers 0 and 1 are marked on the line, as are the two other rational numbers a and b
Will a - 1 be positive or negative? explain.
Answer:
I think it will be positive.
Step-by-step explanation:
Anything that is on the right hand side of the number line is always positive.
4. This is a
function
5. The equation is
6. The value for f(-4) is
THREE NUMBERS BEHIND THE DECIMAL PT
Answer:
Step-by-step explanation:
4). This is an exponential function.
5). Let the equation of this function is,
f(x) = a(b)ˣ
Since, two points (-1, 4) and (0, 6) are lying on the graph of the function,
For (-1, 4),
4 = a(b)⁻¹
4 = [tex]\frac{a}{b}[/tex] --------(1)
For (0, 6),
6 = a(b)⁰
a = 6
From equation (1),
4 = [tex]\frac{6}{b}[/tex]
b = [tex]\frac{6}{4}[/tex] = 1.5
Therefore, equation of the function will be,
f(x) = 6(1.5)ˣ
6). Now the value of f(-4) will be,
f(-4) = 6(1.5)⁻⁴
= 1.185
The overnight low temperature in Cassidy City was -27 Fahrenheit. The overnight low temperature in Shakerville was -6 Fahrenheit. How much warmer was shakerville than Cassidy City?
Answer:
Shakerville 21° warmer
Step-by-step explanation:
-27 + -6 = 21
Help me please!!! Whats the length for w?
Answer:
(The second option) sin40° = w / 28
Step-by-step explanation:
sin40° = opposite / hypotenuse
sin40° = w / 28
Please help me out, please ill mark you as brainliest if you get this correct.
3. If the average of 16, 14, x, 23, 20 is 18, find the value of x.
LA
Maths
Answer:
x = 17
Step-by-step explanation:
Here, we want to find the value of x
mathematically, the mean is the sum of the numbers divided by the count of the numbers
The count of the numbers is 5
So we have;
(16 + 14 + x + 23 + 20)/5 = 18
73 + x = 5(18)
73 + x = 90
x = 90-73
x = 17
solve each equation:
A line passes through the points (4, -18) and (1, 3). What is its equation in slope-intercept
form?
Answer:
The slope intercept form is y= 7x -4
2x=16 what is the answer
Answer:
8
Step-by-step explanation:
2*8 = 16
Answer:
x=8
Step-by-step explanation:
Thats what I think it is
Adult movie tickets cost $8 each. Children pay $5 for a ticket. For one movie, 90 total tickets were sold for a total of $525. Which system of equations can be used to find the number of each type of ticket, adult, a, and children, c, that were sold?
A. a + c = 90 8a + 5c = 525
B. a + c = 525 8a + 5c = 90
C. a + c = 90 5a + 8C = 525
D. a + c = 525 5a + 8C = 90
Answer: A
Step-by-step explanation:
I had this question on my test yesterday lol
The system of equation will be ". a + c = 90 8a + 5c = 525"
Let the number of adults tickets be represented by a
Let the number of children tickets be represented by c.
Since 90 total tickets were sold, this can be represented by the equation:
a + c = 90
Since adult movie tickets cost $8 each while the children pay $5 for a ticket, and total cost spent is $525, this will be:
8a + 5c = 525
Therefore, the correct option is A.
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What is 12x + 5 = 6x + 17
Answer:
x=2
Step-by-step explanation:
find the value of x
Answer:
Let the length of missing side x.
x^2 = 16^2 + 30^2
x^2 = 1156
x = √1156
x = 36
Step-by-step explanation:
Hope it is helpful....
Answer:
Step-by-step explanation:
x ² = 16² +30²
x ² = 1156
x = √1156
x =34
Simplify the expression. Write your answer using only positive exponents. Evaluate any numerical powers.
3^4⋅x⋅(3/x^2)^−2
show your work
Answer:
9x⁵Step-by-step explanation:
Use properties of exponents:
[tex]a^{b} a^{c} = a^{b+c}[/tex], [tex](a^{b} ^)^{c} = a^{bc}[/tex], [tex]1/a^{-b} = a^{b}[/tex]Simplify the given expression:
3⁴⋅x⋅(3/x²)⁻² = 3⁴·x·(3x⁻²)⁻² = 3⁴·x·(3⁻²)(x⁻²ˣ⁻²) =3⁴⁻²·x¹⁺4 =3²·x⁵ =9x⁵[tex]\\ \rm\Rrightarrow 3^4x\left(\dfrac{3}{x^2}\right)^{-2}[/tex]
[tex]\\ \rm\Rrightarrow 3^4x\times \left(dfrac{x^2}{3}\right)^2[/tex]
[tex]\\ \rm\Rrightarrow 3^4x\times\dfrac{x^4}{3^2}[/tex]
a^m×a^n=a^m+na^m/a^n=a^m-n[tex]\\ \rm\Rrightarrow 3^2x^5[/tex]
[tex]\\ \rm\Rrightarrow 9x^5[/tex]
Help me on this pleaseeee
Answer:
Step-by-step explanation:
14.4
the perimeter of an envelope is 34 in. it is 12 in wide. how tall is it?
I need answers to the problem.
Step-by-step explanation:
x equals 40
.... good luck!