Notice that the second polynomial is subtracted from the first.
It's important to understand that the minus sign outside the
second set of parenthses can be thought of as a -1.
So we need to distribute the -1 through each of
the terms in the second set of parenthses.
So our problem will now look like 5x² + 25x + 30 - 3x² - 6x - 3.
Now, we combine like terms.
So we have 2x² + 19x + 27.
The Writing Emporium sells pencils and pens individually. Alana buys a pencil and two pens for $1.10. Jeffrey buys two pencils and a pen for $1.00. How much does Edward spend to buy six pencils and six pens from the Writing Emporium?
Answer:
$4.20
Step-by-step explanation:
The Writing Emporium sells pencils and pens individually.
Step 1
We have to first find the price of a pencil and a pen
Let:
The price of a pencil = x
The price of a pen = y
Alana buys a pencil and two pens for $1.10.
x + 2y = 1.1 ......Equation 1
x = 1.1 - 2y
Jeffrey buys two pencils and a pen for $1.00.
2x + y = 1 ........ Equation 2
We substitute 1.1 - 2y for x in Equation 2
2(1.1 - 2y) + y = 1
2.2 - 4y + y = 1
-4y + y = 1 - 2.2
-3y = -1.2
y = -1.2/-3
y = $0.4
Solving for x
x = 1.1 - 2y
x = 1.1 - 2(0.4)
x = 1.1 - 0.8
x = $0.3
Hence:
The price of a pencil = x = $0.3
The price of a pen = y = $0.4
Step 2
How much does Edward spend to buy six pencils and six pens from the Writing Emporium?
6x + 6y
6($0.3) + 6($0.4)
$1.8 + $2.4
= $4.20
Therefore, Edward spent $4.20 to buy six pencils and six pens from the Writing Emporium.
If 1 meter is equivalent to 3 28 feet, then approximately how many meters are in one mile?
Answer:
Step-by-step explanation:
milă (terestră) = 1.609,344 m = 1.760 yards = 63.360 inches (țoli)
1 „milă romană” (mille passus) = 1.000 (passus) (1 pasus = doi pași, pas dublu) circa. 1.470 - 1.490 m
help i need a good grade
Answer:
7.141
.133
9.902
Step-by-step explanation:
give me brainliest please! :) also, hope it helps have a great day
PLLLZZ EXPLAIN HOW YOU GOT IT! I will give you branilest!
The answer is not 21.6!
Today, everything at a store is on sale. The store offers a 20% discount.
c. The discounted price of a hat is $18. What is the regular price?
(*Hint* What is your 100%?)
Answer:
Getting through ratio method
100-20=80 percent have to pay
18:80
x:100
cross multiply
80 x x=18 x 100
80x=1800
x=1800/80
x=22.5
So the original price was $22.50
Step-by-step explanation:
what's meant by addictive inverse and multiplicative inverse?
Answer:
Two numbers are called additive inverses if their sum is 0. Another one is two numbers are called multiplicative inverses if their products is 1, if their product is 1. ... Two numbers are additive inverses if their sum is 0. If they add up to 0.
Step-by-step explanation:
Which of the algebraic expressions are not linear expressions? Select all that apply. a. 3x - 2 b. -9y c. -7x^2^ + 4x d. -1/2x^2^ e. 8xy (The ^2^ means squared!)
Answer:
c, d and e
Step-by-step explanation:
A linear expression is an expression in which sum of exponents of variables is at most 1 in each of its terms.
Option a: [tex]3x - 2[/tex]
Here, the exponent of the variable is 1.
So, it is a linear expression.
Option b: [tex]-9y[/tex]
Here, the exponent of the variable is 1.
So, it is a linear expression.
Option c: [tex]-7x^2 + 4x[/tex]
Here, the highest exponent of the variable is 2.
So, it is NOT a linear expression.
Option d: [tex]-\frac{1}{2} x^2[/tex]
Here, the exponent of the variable is 2.
So, it is NOT a linear expression.
Option e: [tex]8xy[/tex]
Here, sum of exponents of variables is 2.
So, it is NOT a linear expression.
Hence, c, d and e are NOT algebraic expressions.
please help :( really stuck on this and don’t understand please attempt to do it .
i give ten points and brainliest if you say hi
Answer:
Hi hope you have a wonderful and blessed day!!!!
Step-by-step explanation:
Answer:
Hi have a wonder full day!!!!!!!!!!!!!!!!!!!!!!!!
Step-by-step explanation:
He total amount of fencing they need can be written as 5 x + 10. If x = 5; The family needs 160 yards of fencing for their home. The family needs 40 yards of fencing for their pool.
The question is incomplete. Here is the complete question.
A family needs to build a fence around their rectangular home and square pool, depicted below. A rectangle labeled home has its right side (2 + 5x) yards and its bottom side labeled (3 + 10x)yards. The square, labeled pool, is smaller than the rectangle. One of its side is labeled (2x)yards. The total amount of fencing they need can be written as x + 10. If x = 5:
The family needs _____ yards of fencing for their home.
The family needs _____ yards of fencing for their pool.
Answer: 160 yards
40 yards
Step-by-step explanation: Perimeter is the sum of every side of a polygon.
Rectangle and Square are quadrilateral, i.e., have 4 sides each, but in a rectangle, the 2 parallel sides are equal, while in a square, 4 sides are equal.
To determine the amount of yards to fence a rectangle home:
P = 2l + 2w
where
l is length (in this case, bottom side)
w is width (right side)
P is perimeter
P = 2(2 + 5x) + 2(3 + 10x)
P = 4 + 10x + 6 + 20x
P = 10 + 30x
As x = 5:
P = 10 + 30(5)
P = 160
The family will need 160 yards of fencing for their home.
For the square pool:
P = 4s
with s representing a side of the square
P = 4(2x)
P = 8x
As x = 5:
P = 8(5)
P = 40
The family needs 40 yards of fencing for their pool.
Answer:
38, 160, 40
Step-by-step explanation:
map of a rectangular park has a length of 4 inches and a width of 6 inches. It uses a scale of 1 inch for every $$20 miles. What is the actual area of the park?
Write an integers to represent each situation. 1.An $80 withdrawal. 2. A 2-inch in rise in water level 3. A lose of 15 pounds. 4. Draining 15 gallons of water from a fish tank.
Answer:
-80 ; 2 ; - 15 ; - 15
Step-by-step explanation:
Given that:
1.)
A withdrawal of $80, will cause reduction in the initial value, hence, negative
= - 80
2.)
A 2 - inch rise in water level, indicates increase from initial level, hence, positive
= + 2
3.)
A lose of 15 pounds indicates reduction in weight, hence, negative
= - 15
4.)
Draining 15 gallons of water from a fish tank indicates reduction Hence, negative
= - 15
What is the equation in the slope-intercept form of the line that passes through the point (2,3) and is perpendicular to the line represented by y=-1/4x+7
A) y=4x+5
B) y=4x-5
C) y=-4x+5
D) y=-4x-5
Answer:
c
i. pretty sure the answer is c
HElP Due in 30 min
x =
Answer:
180=x+87
-87. -87
93 = x
The value if x is 93
Step-by-step explanation:
Taylor was asked to solve the system of linear equations
3x - y = 12 and 10x + 5y = -10
by substitution. His solution is shown below.
Taylor's Solution:
Line 1: 10x + 5(-3x + 12)=-10
Line 2:10x - 15x + 60 = -10
Line 3: -5x +60 = -10
Line 4: -5x = -10 - 60
Line 5: -5x = -70
Line 6: x = 14
Which line is wrong? (pls help I’ll mark as brainliest)
The value of car after it is purchased depreciates according to the formula Vn=250000.85n, where V(n) is the car’ value in the nth year after it was purchased.
What is the purchased price of the car?
What is the annual rate of depreciation?
How much value does it lose in its fifth year?
After how many years will the value of the car be half of the original purchased price?
Answer:
25000
0.15
−1957.523
Step-by-step explanation:
Given the function :
Vn=250000.85n
Value of car due to Depreciation,
V(n) value of car after n years.
Initial value of car ; value of car at year 0
V(0) = Vn=25000(0.85)^(0)
V(0) = 25000(0.85)^0
V(0) = 25000(1)
V(0) = 25000
The Decay rate = annual Depreciation
According the exponential function.
mb^n
m = initial value
b = 1 - Decay rate
Relating to the equation given :
b = 0.85
0.85 = 1 - Decay rate
Decay rate = 1 - 0.85
Decay rate = 0.15
Value lost in fifth year : V(5) - V(4)
n = 5
V(5) = 25000(0.85)^5
V(5) = 25000 * 0.4437053125
V(5) = 11092.6328125
V(4) = 25000(0.85)^4 = 13050.15625
11092.6328125 - 13050.15625
= −1957.523
A company orders 14 boxed lunches from a deli for $130.20. If each boxed lunch costs the same amount, what is the unit cost of each boxed lunch?
Answer:
$9.30.
Step-by-step explanation:
$130.20 / 14 = 9.3
Answer:
I believe it is y=7.45x
Step-by-step explanation:
Right so: each lunch box costs $7.45 as you bought 10 which costs $74.50
So if Y is the total cost and X is the number of boxes
it should be
y=7.45
as each box is $7.45 and you want how much all the boxes cost
HELP PLS ITS DUE SOON AND I STILL HAVE SCIENCE TO DO AHHHHH
Answer:
The correct answer is x = -92/9 or x = -10.2
Step-by-step explanation:
(The error is that the student didn't multiply 8 inside the parenthesis )
Steps to show work:
3/4x + 8 = 1/3
9x + 96 = 4 ➙ 9x = 4 - 96
9x = -92
x = -10.2 or -92/9
Answer to 32:
You need to find a common denominator and then multiply both sides of the equation by that number. You can do practically anything you want one side of the equation, as long as you do it to the other side as well.
-----
Hope this helped :)
Paola and her sister are eating lunch at a restaurant in Miami, Florida. They order two iced teas for $2.49 each, nachos for $15.99, and a slice of chocolate cake for $4.99. Florida's sales tax is 6%, but Miami's sales tax is an additional 1% higher. The amount of sales tax on this purchase is $_________. [Enter only digits and decimal for your answer. For example, 99.99] If necessary, round the amount of tax to the nearest 100th.
Answer:
1.82
Step-by-step explanation:
Add the prices to get the subtotal:
Sweet Tea:
2.49 * 2 = 4.98
4.98 + 15.99 + 4.99 = $25.96
The subtotal is $25.96
The sale's tax in Miami is 7% (the base 6% for FL, and the extra 1% for Miami).
$25.96 * 0.07 = 1.817 ≈ 1.82
The tax should be 1.82.
Hope this helps.
John, Nafisa, and Sophia work in a bookstore. Nafisa makes $9.60 per hour. Sophia makes 15% less than Nafisa. How much does Sophia make per hour?
Step-by-step explanation:
9.60x15percent gives you $1.44- 9.60= 8.16
Determine the intercepts of the line.
y= 4x +7
-intercept:
y-intercept:
2
Answer:
x-intercept: (-7/4, 0)
y-intercept: (0, 7)
Step-by-step explanation:
i hope this helps :))
‼️‼️HURRY‼️‼️WILL GIVE BRAINLIEST‼️‼️
Consider the equation and its solution.
8(x-2) = 64
8x-16 = 64
x
8x = 80
X= 10
Which property is used in the last step to find that X= 10?
O distributive property
O addition property of equality
O subtraction property of equality
O division property of equality
Answer:
division property of equality
Step-by-step explanation:
Consider the equation and its solution.
In the first step, 8 is distributed inside the parenthesis. So distributive property is used.
In the second step, 16 is added on both sides. So addition property is used.
In the last step , 8 is divided on both sides. So, division property of equality is used.
Step-by-step explanation:
Answer:
division property of equality
Step-by-step explanation:
because you divide 8 and 80 to have the x alone leaving you with x=10
Help! I will give brainliest to the first person to get it right!
Answer:
b
Step-by-step explanation:
she started in the negatives, and went into a positive y value
Answer: The answer is B. I hoped this helps to you! :D
Step-by-step explanation:
A rope which is 14.47 centimeters long is cut into 7 pieces of equal length. What is the length of each piece? Round your answer to the nearest tenth.
HellllPPPPP solve this equation: 0.2 - 2m = 2.1m + 2.5 - 1.8m
Step-by-step explanation:
First simplify it. Combine like terms.
0.2 - 2m = 2.1m + 2.5 - 1.8m
0.2 - 2m = 0.3m + 2.5
Then isolate m. Add 2m on both sides, then subtract 2.5 from both sides.
0.2 - 2m = 0.3m + 2.5
0.2 = 2.3m + 2.5
-2.3 = 2.3m
Now divide by 2.3 to find m.
-2.3 = 2.3m
-1 = m
And so m = -1.
HELP MEEEEESSSSSSSSSSSSSSSSSS
Answer:
c
Step-by-step explanation: use a calculator
The answer is A. Both equations add up to 88.
I need help I will give brainiest
Answer:
teacher - apple = 2
grapes - students = 29
grapes - total = 33
oranges - teachers = 1
students - total = 75
teachers - total = 7
total - total = 82
Which of the following expressions is equal to g(x)?
OA. 1/2xlog2 (x)
OB. log2 (1/2x)
OC. log2 (2x)
OD. 2xlog2 (x)
Answer:
C
Step-by-step explanation:
If you compare the graph of log₂x and g(x) you can see that the slope increases. The only answer that gives you this is C as D would increase too quickly
Answer:
OC. log2 (2x) I think this is your answer as it is increasing
c
The price of a technology stock was $9.70 yesterday. Today, the price fell to $9.59 Find the percentage decrease. Round your answer to the nearest tenth of a percent.
Answer:
round it to 20×10 there's you answer
Please help meeeeeee
Answer:
k ≥ 4 or k ≤ -3
Step-by-step explanation:
Given function;
[tex]\frac{k}{4} \geq 1 \ \ or \ \frac{k}{3} \leq -1 \\\\Simplify \ the \ function \ as \ follows;\\\\k \geq 4 \ or \ k\leq -3\\\\[/tex]
Check the image uploaded for additional solution;
8. The endpoints of GH are G(-8, -9) and H(8,3). Find the coordinates of the midpoint M
a. (-8,-6)
C. (0,–6)
b. (0,-3)
d. (-16,-12)
Answer:SEE BELOW
Step-by-step explanation:
Average the X and Y coordinates (X,Y)
X = (-8 + 8)/2 = 0
Y = (-9 + 3)/2 = -3
(X,Y) = (0,-3)
Step-by-step explanation:
[tex] \underline{ \underline{ \text{Given \: points}}} : [/tex]
G ( -8 , -9 ) & H ( 8 , 3 )[tex] \underline{ \underline{ \text{To \: find}}} : [/tex]
Midpoint of the given points[tex] \underline{ \underline{ \text{Solution}}} : [/tex]
Let the point G ( -8 , -9 ) be ( x₁ , y₁ ) & H ( 8 , 3 ) be ( x₂ , y₂)
[tex] \boxed{ \sf{Midpoint = (\frac{x_{1} + x_{2}}{2}} \: , \frac{y_{1} + y _{2}}{2} )}[/tex]
⟶ [tex] \tt{( \frac{ - 8 + 8}{2} \:, \frac{ - 9 + 3}{2} ) }[/tex]
⟶ [tex] \tt{( \frac{0}{2} \: , \frac{ - 6}{2}} )[/tex]
⟶ [tex] \tt{(0 \: ,- 3})[/tex]
[tex] \red{ \boxed{ \boxed{ \tt{Our \: final \: answer : \boxed{ \tt{(0 \:, - 3)}}}}}}[/tex]
Hope I helped ! ツ
Have a wonderful day / night ! ♡
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