The roots of polynomial x2 5x − 6 are x = 3 and x = -2.
Factor the polynomial
x2 5x − 6 = (x - 3)(x + 2)
(x - 3) = 0
x - 3 = 0
x = 3
(x + 2) = 0
x + 2 = 0
x = -2
To find the roots of the equation x2 5x - 6, we must first factor the polynomial into two terms. The equation can be factored as (x - 3)(x + 2). We then have to set each factor equal to zero. For the first factor, (x - 3) = 0. With this equation solved, we obtain x = 3. (x + 2) Equals 0 for the second factor. The answer to this problem is x = -2. As a result, x = 3 and x = -2 are the roots of x2 5x - 6.
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After reviewing her driving record for the past 3 years, Cindy's insurance company offers her a good driver discount of 4.5%. Her original policy was based on the premiums listed below. What is her new annual premium including the discount? Cindy's Auto Insurance Policy Type of Insurance Coverage Coverage Limits Bodily Injury $50/100,000 Property Damage $25,000 Collision $500 deductible Comprehensive $100 deductible Annual Premiums $31.75 $120.50 $275.75 $100.00 a $504.24 b. $523.50 C. $528.00 d. $551.76
Answer:
its A
Step-by-step explanation:
I just took the test on EDGE
The new annual premium including the discount is $504.24.
Option A is the correct answer.
What is an expression?An expression contains one or more terms with addition, subtraction, multiplication, and division.
We always combine the like terms in an expression when we simplify.
We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.
Example:
1 + 3x + 4y = 7 is an expression.
3 + 4 is an expression.
2 x 4 + 6 x 7 – 9 is an expression.
33 + 77 – 88 is an expression.
We have,
To calculate the new annual premium with the discount, we need to find the total premium and then subtract the discount.
The total premium is the sum of the individual premiums:
Total premium.
= $31.75 + $120.50 + $275.75 + $100.00
= $528.00
The discount is 4.5% of the total premium:
So,
Discount = 0.045 × $528.00 = $23.76
The new annual premium including the discount is:
New premium = Total Premium - Discount
= $528.00 - $23.76
= $504.24
Therefore,
The new annual premium including the discount is $504.24.
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A tea that is 20% jasmine is blended with a tea that is 15% jasmine. How many pounds of each tea are used to make 5lb of tea that is 18% jasmine?
Answer:
21
Step-by-step explanation:
The amount of each tea are used to make 5lb of tea that is 18% jasmine is 3 lb of first type of tea, and 2 lb of second type of tea.
How to form mathematical expression from the given description?You can represent the unknown amounts by the use of variables. Follow whatever the description is and convert it one by one mathematically. For example if it is asked to increase some item by 4 , then you can add 4 in that item to increase it by 4. If something is for example, doubled, then you can multiply that thing by 2 and so on methods can be used to convert description to mathematical expressions.
For this case, we can assume that:
x = number of pounds we mix first type of tea (tea with 20% jasmine)y = number of pounds we mix first type of tea (tea with 15% jasmine)Then, as the total weight of the mixture is 5 lb, thus:
[tex]x + y = 5[/tex]
18% jasmine in 5 lb of mixture = 20% jasmine in x lb of first tea + 15% jasmine in y lb of second tea
Comparing in terms of weight, we get:
[tex]\dfrac{5}{100}\times 18 = \dfrac{x}{100} \times 20 + \dfrac{y}{100} \times 15\\\\90 = 20x + 15y\\18 = 4x + 3y[/tex]
Thus, we get a system of two linear equations as;
[tex]x + y = 5\\4x + 3y =18[/tex]
From first equation, getting x in terms of y:
[tex]x = 5 -y[/tex]
Substituting this in second equation, we get:
[tex]4(5-y) + 3y = 18\\20-4y + 3y =18\\y = 2\\[/tex]
Putting this value in expression for x, we get:
[tex]x = 5-y = 5-2 = 3[/tex]
Thus, the amount of each tea are used to make 5lb of tea that is 18% jasmine is 3 lb of first type of tea, and 2 lb of second type of tea.
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y 20 18 16 14 12 Total Cost ($) 10 000 2 3 1 2 Time (hours) 2. 3 4 6 8 y = IX +
wht is 700000x4864493-490
Answer:
3.4051451e+12
Step-by-step explanation:
:/
Answer:
3.40515e12
Step-by-step explanation:
Which pair of statements about the lengths of two sides of the triangle is true?
Answer:
B
Step-by-step explanation:
Answer:
B is the answer!.
Consider a RST, as shown
In rest cos r=3/5. What is sin t?
Answer:
:?
Step-by-step explanation:
:?
can someone help me with this and tell me the steps too
Answer:
B. 2.2
Step-by-step explanation:
Volume of a rectangular prism = length*width*height
You can replace the width with the variable x for now, the height is given in the problem, and the length is 4 times the width so in this case it's 4x.
160 = 4x*x*8
160 = 32x^2
5 = x^2
The square root of five is about 2.2 so B is the correct answer
Answer:
B. 2.2ft
Step-by-step explanation:
160 is the volume
The volume of a rectangular prism is equal to its width, its length, and its height, all multiplied together.
First, we divide by the height.
160/8 = 20
Now, we find the width (w) and length (l).
4w = l
w(l) = 20
Substitute l with 4w.
w(4w) = 20
4w^2 = 20
w^2 = 5
w = √5
And since l is 4 times w.
w = √5
l = 4√5
h = 8
Since we are solving for the width, we will go with the closest to the answer closest to the square root of five.
√5 = 2.23606
Therefore, the answer is B. 2.2 ft
Rewrite the function in standard form.
f(x)= 3(x + 5)2 - 7
The angle of a triangle is 44°, 44°, and x°. What is the value of x°?
A waiter receives tips from each customer. On
average the tip is 15% of the customer's bill. At this
rate, which of the following is closest to the tip the
waiter can expect when a customer has a bill that is
$78.20
A) $8.00
B) 10.00
C) $12.00
D) $14.00
Answer:
B) 10.00
Step-by-step explanation:
Camille put $1,250 in a new account at her bank. - The bank pays 2.25% interest compounded annually on this account. - Camille makes no additional deposits or withdrawals. Which amount is the closest to the balance of the account at the end of 5 years?
Answer:
FV= $1,397.1
Step-by-step explanation:
Giving the following information:
Initial investment (PV)= $1,250
Interest rate (i)= 2.25% compounded annually
Number of periods (n)= 5 years
To calculate the future value, we need to use the following formula:
FV= PV*(1+i)^n
FV= 1,250*(1.0225^5)
FV= $1,397.1
Please help me out . :)
Answer:
1080ft cubed
Step-by-step explanation:
The formula is "lenght times width times height."
BRAINLY TO WHOEVER HELPS ASAP
Answer:
2
Step-by-step explanation:
hiiii
A 1,500-gallon hot tub is at a temperature of 38°C. Then, the hot tub's thermal energy increases. Assume its mass does not change.
Which is a possible new temperature for the hot tub?
ANSWER IS 37
Answer:
40⁰ C
Step-by-step explanation:
As long as the number is higher than 38⁰ C, it is a valid answer. as long as its not anything crazy like 111846284⁰ C. But anything around 40⁰ C would be a valid answer as long as the temperature is higher. mass doesn't matter. They are trying to trick you with the question lol
3
An interior designer makes a 25% commission for sales.
What is the commission on her weekly sales of $1,875?
Answer:
468.75
Step-by-step explanation:
Multiply the sales by the commision as a decimal to get the commission, in this case, 1875 * 1/4 = 468.75.
Answer:
$468.75
Step-by-step explanation:
25/100=x/1875 Equation
25×1875=46,875 Cross multiply
46,875÷100=$468.75 Divide the quotient by 100 pecent
x=$468.75
Find the measure of the complement of an 18° angle.
Answer:
72°
Step-by-step explanation:
Hello There!
Complementary angles have a sum of 90 degrees
So to find the missing angle we subtract the measure of the given angle (18 in this case) from 90
90 - 18 = 72
so your answer will be 72°
Last week, Danny started washing cars to earn some money to pay for a trip to Disney world. He washed four cars on Day 1 and six cars every day after that. Write the function that models the total number of cars, c(d), Danny has washed after d days?
Answer:
c(d) = 4 + 6(d - 1)
Step-by-step explanation:
Let
d = number of days Danny washed cars
Day 1 = 4 cars
Other days after day 1 = 6 cars
Function that models the total number of cars, c(d), Danny has washed after d days?
c(d) = 4 + 6(d - 1)
Phoebe owns a business making birdhouses. The profit can be represented by p = 62 – 126 + 250, where p represents profit and b
represents the number of birdhouses she sells. How many birdhouses would she have to sell to make a profit of $263?
Rodrigo tiene 3 listones de madera: el primer listón es 0,75 cm más largo que el segundo; el segundo listón mide 22,25 cm; y el tercero es 6,5 cm más corto que el primer listón. ¿Cuál es la longitud del tercer listón de madera?
Is rational numbers are asscociative in addition, Subtraction, multiplication and Division?
Answer needed in Yes/No!
Addition and multiplication are associative for rational numbers. Subtraction and division are not associative for rational numbers.
Answer:
Yes
Step-by-step explanation:
YOU HAVE A JAR OF PENNIES & QUARTERS. YOU WANT TO CHOOSE 25 COINS
THAT ARE WORTH EXACTLY $2.65
Answer:
10 quarters and 15 pennies
A circular plate has circumference 17.6 inches. What is the area of this plate?
Answer:
A≈24.65in²
Step-by-step explanation:
A=πr2
C=2πr
Solving forA
A=C2
4π=17.62
4·π≈24.64992in²
Happy Friday!
Help me with this please ASAP
Answer:
Hi, there your answer is [tex]8x^{6}[/tex]
Step-by-step explanation:
4*x^3*2*x^3
=8*x^6
Hope this helps :)
PLZ MARK ME BRAINIIEST :) the crown thingy if you don't know what it is
How many degrees is arc KM?
Answer:
90 degree
Step-by-step explanation:
because is a lm perpendicular to kn
HELP!! WILL GIVE BRAINLY!
Answer:
5
Step-by-step explanation:
The answer is 5 because you subtract 125 to 45 and end up with 80. Then you divide 80 by 16 and end up with 5. Let me know if you find any faults in my answer. Thanks. Have a good day!
What is it? This is science
Answer:
i believe C is correct :)
Answer:
The answer you got was correct.
Step-by-step explanation:
Predation means the preying of one animal on others,or more simplified,the action of attacking or plundering.
Consider a sequence whose first five terms or 1/2 1/ 4 1/8 1/16 1/32 which function can be used to determine the NTH term of the sequence. F(n)=-2n F(n)=1/2n. F(n)=(1/2) ^-n. F(n)=2^-n
Answer:
c
Step-by-step explanation:
Popcorn was donated for the school fair by 3 different popcorn vendors. They donated a total of 996 bags of popcorn. Each vendor donated the same number of bags. How many bags of popcorn did each vendor donate? Each vendor donated bags of popcorn
Answer:
let the of bag of vendors be X
3donate X bag to give 996
3×x=996
3x=996
divide both side by 3
3x\3=996\3
x=332
each vendor donated 332bags of popcorn
Mr. Rosas had $90 to purchase snacks for a school party. He bought 36 bags of chips and 36 bottles of juice. Each bag of chips cost $0.69, and each bottle of juice cost $1.20. How much money did Mr. Rosas have left after these purchases?
Answer:
$21.96
Step-by-step explanation:
Total money with Mr. Rosas = $90
Total cost of chips = 36*0.69 = $24.84
Total cost of juices = 36*1.20= $43.2
Total money spent = $24.84 + $43.2 = $68.04
Money left with Mr. Rosas
= $90 - $68.04
= $21.96
The degree of the polynomial below .
Answer:
C: 9
Step-by-step explanation:
The highest power in the polynomial is 9.