Answer:
f(x) = [tex]3x^{3} - 6x^{2} - 15x + 30[/tex]
Step-by-step explanation:
If [tex]\sqrt{5}[/tex] is a root, then so is -[tex]\sqrt{5}[/tex]
f(x) = 3(x + [tex]\sqrt{5}[/tex])(x - [tex]\sqrt{5}[/tex])(x - 2)
= [tex]3(x^{2} - 5)(x - 2)[/tex]
= 3([tex]x^{3} - 2x^{2} - 5x + 10[/tex])
= [tex]3x^{3} - 6x^{2} - 15x + 30[/tex]
help me plz: An employer is paying an employee a salary of $35,500 a year. The employer promised to increase his/her salary by 2,750 per year. What will be the employee's salary by year 8?
Answer:
401(k) plan
Step-by-step explanation:
The employee earns $45/hour, with his employer paying 1.5 times the regular rate of pay for overtime hours. To date, he has earned $130,050 during the present year. He has requested that his employer withhold 8% of gross pay, which is to be contributed to a 401(k) plan. Taxable income for federal income tax withholding = $
a pair of shoes costs $45 at joe's Emporium, and the same pair costs $56 at Fran's Shoes. what is the difference in price between Joe's Emporium and Fran's Shoes?
Answer:
$11
Step-by-step explanation:
to find the difference you subtract
56 - 45 = 11
someone please help me
9514 1404 393
Answer:
C. f(x) = 2(3^x)
Step-by-step explanation:
The y-intercept is the function value when x=0. Your choices are ...
A. f(0) = 1 +2 = 3
B. f(0) = 3(1) = 3
C. f(0) = 2(1) = 2 . . . . . the function of interest
D. f(0) = 2(1) -2 = 0
Somebody help me plzz
Answer:
60
Step-by-step explanation:
straight line =180
180-120=60
f (x) =x2 + 10x + 24.
Answer:
(-5,-1)
explanation
A man’s estate is valued at $150,000. It is to be divided so that his wife receives twice as much as his son. How much does his son inherit? A. $5,000 B. $50,000 C. $75,000 D. $100,000
Answer:
B is the answer
Step-by-step explanation:
solve 4(3r + 4) - 6(r + 1) =22
Answer:
r = 2
Step-by-step explanation:
4(3r + 4) - 6(r + 1) =22
12r + 16 - 6r - 6 = 22
6r = 12
r = 2
Casey recently purchased a sedan and a pickup truck at about the same time for a new business. The value of the sedan S, in dollars, as a function of the number of years t after the purchase can be represented by the equation S(t)=24,400(0.82)t. The equation P(t)=35,900(0.71)t2 represents the value of the pickup truck P, in dollars, t years after the purchase. Analyze the functions S(t) and P(t) to interpret the parameters of each function, including the coefficient and the base. Then use the interpretations to make a comparison on how the value of the sedan and the value of the pickup truck change over time.
Answer:
Step-by-step explanation:
Because many objects are not regularly shaped their volume cannot be determined using a volume formula. The volume of these objects can be found by water displacement. A volume of water sufficient to cover the object is placed in a graduated cylinder and the volume read. The object is added to the cylinder and the volume read again. The difference between the two volumes is the volume of the object. This method is demonstrated using the same battery used above.
Answer:
Because many objects are not regularly shaped their volume cannot be determined using a volume formula. The volume of these objects can be found by water displacement. A volume of water sufficient to cover the object is placed in a graduated cylinder and the volume read. The object is added to the cylinder and the volume read again. The difference between the two volumes is the volume of the object. This method is demonstrated using the same battery used above.
Step-by-step explanation:
The exterior angles of a quadrilateral have measures of 80°, 65, 2x", and 3x . Find the value of x.
Answer:
80°+65°+2x+3x=360°(sum of quadrilateral is 360)
145°+5x=360°
5x=360°-145°
5X=215°
X=215°/5°
X=43°
The required value is [tex]x=43[/tex]
Given angles are,
[tex]80^{\circ}, 65^{\circ}, 2x,3x[/tex]
As we know the sum of all angles in the quadrilateral is [tex]360^{\circ}[/tex].
Then we have the relation,
[tex]80+65+2x+3x=360\\\\145+5x=360\\5x=360-145\\5x=215\\x=43[/tex]
So, the value of the x is 43.
Find out more information about the topic:https://brainly.com/question/8565742
Multiple Choice Question
Write 6 + 12x in a factored form.
A. 6(1 + 2x)
B. 6 + (1 + 2x)
C. 6(1+ 12x)
D. 6 + (1+ 12x)
Answer:
A. 6(1+2x)
Step-by-step explanation:
we take 6 as Common factor out of the equation
Wyatt and his little sister are saving up money to buy a joint birthday present for their mother. Wyatt already has $20 saved and plans to save $7 per week from his allowance. His sister has $14 saved so far and will save $9 per week from hers. The two siblings will soon have saved the same amount towards their mother's gift. How much will each one have saved? How long will that take?
Answer:
The two siblings will have saved the same amount towards their mother's gift after 3 weeks.
Amount saved by Wyatt = [tex]\$41[/tex]
Amount saved by Wyatt's sister = [tex]\$41[/tex]
Step-by-step explanation:
Let [tex]t[/tex] (in weeks) denotes the time period by which the two siblings will have saved the same amount towards their mother's gift.
Wyatt already has $20 saved and plans to save $7 per week from his allowance.
Amount saved by Wyatt = [tex]20+7t[/tex]
Wyatt's sister has $14 saved so far and will save $9 per week from hers.
Amount saved by Wyatt's sister = [tex]14+9t[/tex]
To find the time period by which the two siblings will have saved the same amount towards their mother's gift,
solve the following equation.
[tex]20+7t=14+9t\\20-14=9t-7t\\6=2t\\3=t[/tex]
So, the two siblings will have saved the same amount towards their mother's gift after 3 weeks.
Amount saved by Wyatt = [tex]20+7(3)=20+21=\$41[/tex]
Amount saved by Wyatt's sister = [tex]14+9(3)=14+27=\$41[/tex]
Help me y'all i really need help
Answer:
that is 2/10 (for the fraction) and 0.2 (for the decimal) if the fraction is to be simplified, it would be 1/5. hope this helps! :D
Step-by-step explanation:
What is the slope in this graph?
Answer:
[tex] \frac{3}{4} x[/tex]
Step-by-step explanation:
because form one corner of the square to the other it goes to the right 3 and Up by 4 so the slope is 3 / 4x
find the value of given expression
[tex]x = 4 \times 2[/tex]
Answer:
8
Step-by-step explanation:
[tex]x = 4 \times 2 \\ x = 8[/tex]
Answer:
X=4x 2
x=8
I hope this help you
The staircase has three identical parallelogram-shaped panels. The horizontal distance between each panel is 4.25 inches. The area of each panel is 287 square inches. What is the value of x ?
*see attachment for diagram
Answer:
x = 20.5 in.
Step-by-step explanation:
What we are requested to find is the height of the panel/parallelogram = x
Area of each panel = base × height = 287 in.²
Given that the total length of the 3 panels which includes the length of the 2 gaps within them = 50.5 in., first, let's find the base length of each panel.
Base length of each panel = (total length - length of the 2 gaps in between the 3 panels) ÷ 3
= (50.5 - 2*4.25) ÷ 3
= 42 ÷ 3
Base length of each panel = 14 in.
✔️Next is to find the height of the panel, x.
area of parallelogram = base × height
Base = 14 in.
height = x
Area = 287 in.²
Plug in the values
287 = 14 × x
287 = 14x
Divide both sides by 14
287/14 = x
20.5 = x
x = 20.5 in.
The price of gold is proportional to its
weight. 100 grams of gold costs £2315. Find
the cost of 250 grams of gold.
Answer:
£5787.50
Step-by-step explanation:
mark brainliest
Which exponential function matches the table?
Answer:
B: f(x) = 27[tex](\frac{1}{3})^{x}[/tex]
Step-by-step explanation:
If you substitute 0 and 1 into each given exponential function. The first, second and fourth value with 0 substituted will give 27 as such, so we can eliminate the third exponential function. But, if you substitute 1 into all of the remaining possible exponential functions, the only function that will give you 9, when x = 1 is substituted, is B: f(x) = 27[tex](\frac{1}{3})^{x}[/tex].
I hope this helps you!! ^-^
733 times 60 and work it out on your asnwcer plzz
Answer:
733 x 60 = 43,980.
Step-by-step explanation:
Another way to do this equation is by adding 733 by itself 60 times.
Solve for the variable in 6/18 = x/36
Answer:
x=28.67
Step-by-step explanation:
6 x
18 36
18x 516
18 18
x=28.67
A die is rolled 30 times. How many times can you expect it to land on a number less than 5?
Answer:
5/6 is your answer
Step-by-step explanation:
no. of favourable observation/ total no of observation
7 less than twice a number is greater than 19
Answer:
Step-by-step explanation:
if the number is x
2x - 7 greater than 19
= 2x greater than 26
Represent each of these temperatures in degrees Fahrenheit with a positive or negative number.
5 degrees above zero
3 degrees below zero
6 degrees above zero
2 3/4 degrees below zero
A dolphin jumps from the water at initial velocity of 16 feet per second. The equation h= -16t^2+80t models the dolphin's height at any given time, t. what is the maximum height the dolphin jumps?
a) 1 foot
b) 5 feet
c) 96 feet
d) 100 feet
Answer:
d) 100 feet
Step-by-step explanation:
The x value of the vertex (highest point in this case) is found via -b/2a:
-80/-32 = 2.5
Plug 2.5 into the function:
h(2.5) = -16(2.5)² + 80(2.5)
= - 100 + 200 = 100
PLEASE HELP DUE SOON!! WILL MARK BRAINLIEST TO FIRST CORRECT ANSWER!
Rewrite without absolute value:
y=|x-3|+|x+2|-|x-5|, if -2
Answer:
y=2, y=12
Step-by-step explanation:
y = |-2-3|+|-2+2|-|-2+5|
y = 5+0-3
y=2
or you can try
y=12
The ordered pairs for two points are listed in the table. What is the equation, in slope-intercept form, of the line that contains these points?
A. y = 2x + 4
B. y = -4x - 2
C. y = -4x + 2
D. y = 2x - 4
Your answer would be D
I NEED HELPPPP!!!!!!! PLEASEEEEE!!!
for number one, the mean would be 45 minutes
for number 9, he wants to use the number of minutes that occurred most often as that is the definition of mode
please mark branliest it’d be appreciated ♡
For what range of checks were checking account a long's bank generate more earnings income then one at fellows bank
Answer:
Step-by-step explanation:
300 students attend ridewood junior high school 5% of students bring their lunch to school everyday how many students bring their lunch on Thursday ?
Answer:
300 x .05= 15
..............
What two numbers have a sum of 13 and a product of -30 ?
Answer:
Check pdf
Step-by-step explanation:
What is the experimental probability of rolling a 1
Answer:
1/6
Step-by-step explanation: