Completely factor the expression.
w^2 - 15w + 54
4.5/17 - x = 3/8 solve
Answer:
The value of the equation is [tex]x=\frac{-15}{136}[/tex] Or [tex]x=-0.1102[/tex].
Step-by-step explanation:
Consider the provided equation.
[tex]\frac{4.5}{17}- x =\frac{3}{8}[/tex]
We need to solve the provided equation for x.
Add x to both side.
[tex]\frac{4.5}{17}- x+x=\frac{3}{8}+x[/tex]
[tex]\frac{4.5}{17}=\frac{3}{8}+x[/tex]
Subtract 3/8 from both sides.
[tex]\frac{4.5}{17}-\frac{3}{8}=x[/tex]
[tex]x=\frac{4.5}{17}-\frac{3}{8}[/tex]
[tex]x=\frac{36-51}{136}[/tex]
[tex]x=\frac{-15}{136}[/tex]
Or
[tex]x=-0.1102[/tex]
Hence, the value of the equation is [tex]x=\frac{-15}{136}[/tex] Or [tex]x=-0.1102[/tex].
Which graph represents the system of inequalities?
What is 19.2×108 minutes in hours? 1.152×1011 h 3.200×109 h 1.152×107 h 3.200×107 h
what hourly rate does the repair shop charge for labor?
The mechanic's hourly rate is $55.
Understanding Labor Costs in a Repair Shop
To determine the hourly rate a repair shop charges for labor, we must analyze the information given and apply simple arithmetic operations. According to the examples provided, an auto mechanic charges a flat fee and an hourly rate for labor. For instance, a mechanic charging a flat fee of $75 per car, plus an hourly rate of $55 can be represented by the linear equation y = 75 + 55x, where 'y' is the total labor charge, and 'x' is the number of hours worked.
Example Calculation
Using the equation above, if the job takes 3.5 hours, the labor charge (y) would be calculated as $75 + ($55 imes 3.5) = $75 + $192.50 = $267.50. Hence, we can infer that the mechanic's hourly rate is $55.
How to find mass when given density and volume?
If the federal reserve decreases the reserve rate from 7% to 5%, how does this affect the amount of money that would result because of fraction-reserve rbanking from an initial deposit into a bank of $30,000
When the Federal Reserve decreases the reserve rate from 7% to 5%, the amount of money resulting from fraction-reserve banking increases. In this case, an initial deposit of $30,000 would result in $28,500 due to the change in reserve rate.
Explanation:When the Federal Reserve decreases the reserve rate from 7% to 5%, it means that banks are required to hold a smaller percentage of deposits as reserves. This change allows banks to lend out a larger portion of the initial deposit. In this case, if the initial deposit into a bank is $30,000, the amount that would result from fraction-reserve banking would increase because the bank can now lend out a greater percentage of the deposit.
To calculate the new amount that would result from fraction-reserve banking, we need to calculate the reserve amount and the loan amount.
Therefore, the amount that would result from fraction-reserve banking from an initial deposit of $30,000 would be $28,500.
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Find the amount (future value) of the ordinary annuity. (round your answer to the nearest cent.) $1500/semiannual period for 8 years at 2.5%/year compounded semiannually
90 points correct answer
If the parent function f(x) = x2 is modified to g(x) = 2x2 + 1, which statement is true about g(x)?
It is an even function.
It is an odd function.
It is both an even and an odd function.
It is neither an even nor an odd function.
The perimeter of a square garden is to be at least 20 ft but no more than 32 ft. find all possible values for the lengths of its sides using a compound inequality
Answer:
Answer in pic
Step-by-step explanation:
How to solve equations
What is the slope of the equation y = -x + 4
Is g(x)= 5 + 6/x a linear function
Could -2 be used as a base to rewrite 32? 64? Why or why not?
Find the value of x for which l is parallel to m. The diagram is not to scale.
a. 31
b. 62
c. 93
d. 149
When is it necessary to use three points to name an angle? If CP bisects and DPB , what is the measure of angle CPB?
In geometry, three points are used to name an angle when there are multiple angles that share the same vertex. If CP bisects angle DPB, angle CPB is divided into two equal angles, and the measure of angle CPB is half of the measure of angle DPB.
Explanation:In geometry, it is necessary to use three points to name an angle when there are multiple angles that share the same vertex. By using three points, we can clearly identify which angle we are referring to. In this case, if CP bisects angle DPB, it means that angle CPB is divided into two equal angles, and CP is one of the dividing lines. Therefore, the measure of angle CPB is half of the measure of angle DPB.
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Kwamee bought kona beans that cost 11.00 and bought fuji beans that cost 7.50.he bought a total of 23 pounds of coffee and it cost 197.00 write a system of equations to solve how many pounds of kona and fuji beans kwamee bought
Find the quotient.
110/10=
The sum of -4 and 8 times a number is multiplied by 3. The result is 15 less that 25 times the number. What is the number?
A) -12
B) 6/7
C) 0
D) 3
E) none of the above
If a(x)=3x+1 and b(x)=
The answer is C. [1, ∞] on edge
Including a 8 %8% sales tax, an inn charges $ 135$135 per night. Find the inn's nightly cost before the tax is added.
Summer paints a room that has 400 square feet of wall space in 2.5 hours. at this rate, how long will it take her to paint a room with 720 square feet of wall space?
6=x+2/3
Please help ASAP!!! 10 Points!!! :)
If f(x)=3/x+2-root x-3 complete the following statement (round answer to the nearest hundredth) f(7)=
Tom and Rob are brothers who like to make bets about the outcomes of different contests between them. Before the last bet, the ratio of the amount of toms money to the amount of robs money was 4:7. Rob lost the latest competition, and now the ratio of the amount of robs money is 8:3. If rob had $280 before the last competition, how much rob have now that he lost the bet?
before the bet Rob had 7 out of 11 ( 4+7)
280/7 = 40
after bet Rob had 3
3*40 = 120
he has $120
The product of (a − b)(a − b) is a2 − b2.
Sometimes
Always
Never
Final answer:
The statement that the product of (a − b)(a − b) equals [tex]a^2 - b^2[/tex] is never true; the correct product is always [tex]a^2 - 2ab + b^2[/tex], representing the square of a difference formula.
Explanation:
The statement "The product of (a − b)(a − b) is [tex]a^2 - b^2[/tex]." is never true. Instead, using the distributive property to expand the expression (a − b)(a − b) yields a different result, as each term in the first binomial must be multiplied by each term in the second binomial.
The correct expansion is:
(a − b)(a − b) = a(a − b) - b(a − b)= aa - ab - ba + bb= [tex]a^2 - 2ab + b^2[/tex](since ab and ba are equivalent)Thus, the product of (a − b)(a − b) is always [tex]a^2 - 2ab + b^2[/tex], which is the square of a difference formula, not [tex]a^2 - b^2[/tex] which is the difference of squares formula. The latter is applicable to the product (a + b)(a - b).
Find the value of x in the equation 2√ x
a. –5
b. 1
c. 16
d. 25 11. simplify the expression .
a.
b.
c.
d. + 20 = 15 + 3√ x
The equation 14m = 400.40 can be used to find the cost per yard m, in dollars, of mulch. what is the value of m? m = $
What's the parabola in vertex for for (-5,0) and has a vertex (-2,1)
hello :
the parabola's equation is : f(x) = a(x+2)²+1
but ; f(-5) = 0
0 = a(- 5+2)²+1
9a+1=0.....a= -1/9
f(x) = (-1/9)(x+2)²+1
Which two expressions could be used to solve this problem?
Roberto ordered 4 pepperoni pizzas, 2 mushroom pizzas, and 3 cheese pizzas for his party. He paid the same price for each pizza. The total cost was $90. How much did each pizza cost?
Choose exactly two answers that are correct.
A.
4 × 2 × 3
B.
90 – 24
C.
90 ÷ 9
D.
90 obelus divided by(4 + 2 + 3)