Answer:
[tex]4(y - 8) + 6 = 58 \\ or \: 4y - 32 + 6 = 58 \\ or \: 4y - 26 = 58 \\ or \: 4y = 58 + 26 \\ or \: 4y = 84 \\ or \: y = \frac{84}{4} \\ or \: y = 21[/tex]
21 is the answer.....Hopes to get BRAINLIEST......Hopes it helps you.......Thank you ☺️
At the time that a 55 foot tall tree casts a shadow that is 32 feet long, a nearby woman is 5.5 feet tall. Which measure is the closest to the length of the shadow she will cast?
Answer:
3.2ft long shadow
Step-by-step explanation:
In this problem we are given a ratio between the tree/shadow and woman/shadow therefore we are given 3 values and 1 unknown then we can use the Rule of Three to calculate the length of the shadow which we will refer to as x. The Rule of Three simply multiplies the diagonal values and divides by the third value in order to get the missing unknown like so...
55ft tall <======> 32ft long shadow
5.5ft tall <======> x ft long shadow
(5.5 * 32) / 55 = 3.2ft long shadow
Finally, we can see that the woman's shadow would be a 3.2ft long shadow
Given f(x) = 2x^3 + ax^2 - 7a^2x - 6a^3, determine whether or not x-a and x+a are factors of f(x). Hence, find, in terms of a, the roots of f(x) = 0.
thankyou so much
Answer:
Step-by-step explanation:
f(x) = 2x³ + ax² - 7a²x - 6a³
= 2x³ - 2a²x + ax² - a³ - 5a²x - 5a³
= 2x(x² - a²) + a(x² - a²) - 5a²(x+a)
= (2x+a)(x - a)(x + a) - 5a²(x + a)
= (x + a)[(2x + a)(x - a) - 5a²]
= (x + a)(2x² - ax - 6a²)
= (x + a)(2x + 3a)(x - 2a)
x-a is the factor of the equation and x + a is not a factor of the equation,
All the roots of the equation are x + a, 2x+3a, x-2a.
What is a cubic equation ?"In algebra, a cubic equation in one variable is an equation of the form
ax^3+bx^2+cx+d=0
in which a is nonzero.
The solutions of this equation are called roots of the cubic function defined by the left-hand side of the equation. If all of the coefficients a, b, c, and d of the cubic equation are real numbers, then it has at least one real root (this is true for all odd-degree polynomial functions). "
Given equation is [tex]f(x) = 2x^3 + ax^2 - 7a^2x - 6a^3[/tex]
Now,
[tex]f(x) = 2x^3 + ax^2 - 7a^2x - 6a^3\\\\= 2x^3 - 2a^2x + ax^2 - a^3 - 5a^2x - 5a^3\\\\= 2x(x^2 - a^2) + a(x^2 - a^2) - 5a^2(x+a)\\\\= (2x+a)(x - a)(x + a) - 5a^2(x + a)\\\\= (x + a)[(2x + a)(x - a) - 5a^2]\\\\= (x + a)(2x^2 - ax - 6a^2)\\\\= (x + a)(2x + 3a)(x - 2a)[/tex]
Hence, the roots of the equation are x + a, 2x +3a, x - 2a.
To know more about cubic equation here
https://brainly.com/question/13730904
#SPJ2
3
2
f(x)
1 +
-4
-3
1
2
3
4
-2
-3
-4
What is the domain of f(x)? (1 point)
-3 SX<1
0-3
0-4
O -45y<2
Repost your question. Not readable.
D is f(x)=3(x+2)^2-2 it wasn’t able to fit on the screen HELP ME THOUGH PLZ
Answer:
The answer is B (filler)
Penny compared the price of gumdrops at two stores. At Save-More Market, gumdrops are $3.95 per pound. At the Buy-Here Warehouse, the price is two pounds for $6.50. Which store has the better buy? Explain your answer.
Answer:
Buy-Here Warehouse has the better deal.
Step-by-step explanation:
divide
$6.50 divided by 2 = $3.25
$3.25 costs less than $3.95 for a pound
7 (3 - 0.5k) 3k - 5
Step-by-step explanation:
63k -10.5k square 2-5 and you have you answer
help plzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz
Answer:
2^4 or 16 is your answer
(-3)(+4)=?
Can someone tell me the answer to this?
Answer:
-12, or 1 (see explanation)
Step-by-step explanation:
(-3)(+4)
Is the same as
4 * (-3)
which is
-12
Unless your problem is:
(-3) + 4
Then it is the same as
4 - 3
which is
1
4.A 5 ft. by 20 ft room has a circular rug. If the rug has a dlameter of 10 ft., how much of the floor
is not covered by the rug?
Answer:
option 4
Step-by-step explanation:
find the rate 3\4 of a page in 1\3 of an hour
Answer:
2.5 pages an hour
Step-by-step explanation:
3 times 3 is 9 9 divided by 4 is 2.5
A pie recipe calls for u to use 3/8 cup of milk, 1/8 cup of oil, and 3/8 cup of water. How many liquid do you need to make the pie
write an equivalent expression by distributing the "_" sign outside the parenthesis
1.6n-(4p-3)
9514 1404 393
Answer:
1.6n -4p +3
Step-by-step explanation:
Distributing the minus sign changes the signs of all the terms inside parentheses.
-(4p-3) = -4p +3
When that is added to 1.6n, the entire expression is ...
1.6n -4p +3
Ricky and Sam each bought a remote control car for $80. A few months later they both sold it. Ricky sold his car for 25% less than the original price and Sam sold his car for 30% less than the original price. How much more did Ricky get than Sam?
Answer:
Ricky get $4 than Sam.
Step-by-step explanation:
.25x80=20
80-20=60
.30×80=24
80-24=56
Aubrey bought 5 packs of stickers each with 30 stickers. Izzy bought 4 packs,
each with 40 stickers. How many stickers do they have total
They have 310 stickers in total
Daniel bought 8 pairs of socks and a tshirt. The t-shirt cost $15.
Write an equation for the Total Cost Let x = the price of socks. How much was each pair of
socks if the Total Cost was $31? Show all calculations/work.
Write the slope intercept form of the equation of each line given the slope and y-intercept. PLEASE HURRY!!
Answer:
y=3/2x-2
slope is 3/2 y-intercept is -2
Step-by-step explanation:
hope this helps :3
if it did pls mark brainliest
URGENT Find the base angles of the figure below.
Answer:
25°
Step-by-step explanation:
Since AB = AC then the triangle is isosceles.
Thus the 2 base angles are congruent, that is
base angle = [tex]\frac{180-130}{2}[/tex] = [tex]\frac{50}{2}[/tex] = 25°
Answer:
D. 25° hope this helps
Step-by-step explanation:
Simplify the expression 7(3+2p+7).
Answer: 14p +70
Step-by-step explanation:
Answer:
84p
Step-by-step explanation:
3+2=5 +7=12x7+84
Problem 3: Serena is the manager of the coffee shop. The amount of money she earns is represented by the equation m=21h, where h is the number of hours Serena works, and m is the amount of money she earns. How much more money does Serena make an hour than Gabe? Explain your thinking.
Answer:
Serena earns $7.50 per hour more than Gabe
Step-by-step explanation:
Given
Serena:
[tex]m = 21h[/tex]
Gabe
Earnings: $13.50 per hour ----- Missing Part of equation
Required
How much more does Serena earn per hour
For Serena
[tex]m = 21h[/tex] implies that She earns $21 per hour
So, to determine how much more She earns, we simply calculate the difference.
[tex]Difference = \$21 - \$13.50[/tex] (per hour)
[tex]Difference = \$7.50[/tex] (per hour)
The difference implies that Serena earns $7.50 per hour more than Gabe
What are the like terms in the following expression?
9x + 7 + 4x
Answer:
9x and 4x are like terms
Step-by-step explanation:
the sum of 2 numbers is 35 and their difference is 15
Answer:
x = 25,
y = 10
Step-by-step explanation:
Call the larger number "x", and the smaller one "y".
Set up a system, based on the given infomration
x + y = 35
x - y = 15
Solve the system by elimination, in this case, one can just add the two systems to eliminate a variable.
x + y = 35
x - y = 15
x + y + x - y = 15 + 35
Simplify,
2x = 50
Inverse operations,
2x = 50
/2 /2
x = 25
Substitute back in to find y,
x + y = 35
x = 25
25 + y = 35
Inverse operations,
25 + y = 35
-25 -25
y = 10
Joseph drives 125 miles in 2.1 hours. At the same rate, how far will he be able to travel in 6 hours?
Answer:
Step-by-step explanation:
2.1 hours is 126 minutes. he drove 125 miles in 126 minutes. now we need to find out how much joseph can drive per a steady amount of time. in 6 minutes, he will drive about 5.95 miles. there are 360 minutes in 6 hours. 360/6 is 60 (just doing this again). 60 times 5.95 is 357.
please complete the chart with the correct angle measures
Answer:
10. X= 11
11. X= 5
Step-by-step explanation:
5x-8+43=90
x= 11
--------------------
3x+3+72=90
x= 5
give brainliest pls
PLS HELP ITS DUE IN AN HOUR!
WILL GIVE BRAINLIEST!
Answer:
Step-by-step explanation:
Unfortunately other people have promised to give Brainliest before and they never did. However, I'll answer the third question and tell you that it's 8 sides.
Write the rational number 1.5 using quotients of the form p/q. Use the integers below.
Answer:
3/2
Step-by-step explanation:
You didn't provide any integers.
Having said that, 1.5 = 1.5/1 = 3/2
Answer:
-3/2
Step-by-step explanation:
but since its positive its just 3/2
.In a factory all employees work a basic week of 38 hours. Any overtime worked during weekdays is paid for at time-and-a-half. Overtime worked on Saturday is paid for at double-time, whilst on Sunday it is paid for at triple time. If the basic rate is $8.96 per hour, find the gross wage of a man who worked 15 hours overtime from Monday to Friday, 3 hours overtime on Saturday and 2 hours overtime on Sunday
Answer:
1. reg pay: 8.96,week days: 1.5 overtime pay, sat: double pay, sun: triple pay
38 hrs regular pay : 38 * 8.96 = 340.48
15 hrs overtime during week : 15 * 1.5(8.96) = 15 * 13.44 = 201.60
3 hrs overtime on saturday: 3 * 2(8.96) = 3 * 17.92 = 53.76
2 hrs overtime on sunday: 2 * 3(8.96) = 2 * 26.88 = 53.76
Gross wage = (340.48 + 201.60 + 2(53.76) = 649.60 <====
Hope this helps!
3. A florist sells large floral arrangements for $60 each. Small floral arrangements sell for $15 each. Jenna is buying 2 large floral arrangements and x small floral arrangements. Let y represent the total cost Jenna must pay in dollars.
Write an equation in slope-intercept form to model this description.
Answer:
y=120
Step-by-step explanation: 60 x 2 = 120
15x + 120
A student makes paper airplanes. She can make 3 airplanes from each sheet of paper.
She wants to have 105 paper airplanes ready for her birthday party. She has 9 paper
airplanes in her paper airplane hanger left over from last year. What is considered the
independent variable in this situation?
A. 3 airplanes from each sheet
B. 105 paper airplanes
O
C. 9 paper airplanes in the hanger
D. 32 sheets of paper
Answer:
3 airplanes from each sheet
Answer:
3 airplanes from each sheet Hope it helps :)
Step-by-step explanation:
please help! algebra 1
pls help me with this
Error: She did not fully simplify [tex]\sqrt{12x^{3}}[/tex]
Correct simplification:
[tex]5x\sqrt{48x^{5}}\\\\=5x\sqrt{16x^{4}}\sqrt{3x}\\\\=5x(4x^{2})\sqrt{3x}\\\\=20x^{3}\sqrt{3x}[/tex]
