Answer:
h(n) = - 2n - 13
Step-by-step explanation:
Given
m + 1 = - 2( n + 6) = - 2n - 12 ( subtract 1 from both sides )
m = - 2n - 13, that is
h(n) = - 2n - 13
Two lines, A and B, are represented by the equations given below!
Line A: y = x - 4
Line B: y = 3x + 4
Which of the following shows the solution to the system of equations and explains why?
A. (-3,-5), because the point satisfies ONE of the equations
B. (-3,-5), because the point lies between the two axes
C. (-4,-8), because the point satisfies BOTH equations
D. (-4,-8), because the point does not lie on any axis
Answer:
The solutions to the system of equations are:
[tex]y=-8,\:x=-4[/tex]
Thus, option C is true because the point satisfies BOTH equations.
Step-by-step explanation:
Given the system of the equations
[tex]\begin{bmatrix}y=x-4\\ y=3x+4\end{bmatrix}[/tex]
Arrange equation variables for elimination
[tex]\begin{bmatrix}y-x=-4\\ y-3x=4\end{bmatrix}[/tex]
[tex]y-3x=4[/tex]
[tex]-[/tex]
[tex]\underline{y-x=-4}[/tex]
[tex]-2x=8[/tex]
[tex]\begin{bmatrix}y-x=-4\\ -2x=8\end{bmatrix}[/tex]
solve for x
[tex]-2x=8[/tex]
Divide both sides by -2
[tex]\frac{-2x}{-2}=\frac{8}{-2}[/tex]
[tex]x=-4[/tex]
[tex]\mathrm{For\:}y-x=-4\mathrm{\:plug\:in\:}x=-4[/tex]
[tex]y-\left(-4\right)=-4[/tex]
[tex]y+4=-4[/tex]
[tex]y=-8[/tex]
The solutions to the system of equations are:
[tex]y=-8,\:x=-4[/tex]
Thus, option C is true because the point satisfies BOTH equations.
A landscape architect is designing a rectangular flowerbed to be border with 28 Plants that are placed 1 m apart. He needs an inner rectangular space in the center for plants that must be 1 m From the border of the bed and that require 24 square meter for planting. What should the overall dimensions of the flowerbed be?
Answer:
length = 8m and width = 6m
Step-by-step explanation:
We are told that 28 Plants that are placed 1 m apart. This means that total perimeter of rectangular space = 28
Thus;
2L + 2W = 28
Divide both sides by 2 to get;
L + W = 14 - - - (eq 1)
Where;
L is length
W is width
Furthermore, we are told that he needs an inner rectangular space in the center for plants that must be 1 m From the border of the bed and that require 24 square meter for planting.
This means that;
(L - 2) × (W - 2) = 24
(L - 2)(W - 2) = 24
Divide both sides by (W - 2) to get;
L - 2 = 24/(W - 2)
From eq(1),we can say that;
L = 14 - W
Thus;
14 - W - 2 = 24/(W - 2)
(12 - W) = 24/(W - 2)
Multiply both sides by (W - 2) to get;
(12 - W)(W - 2) = 24
12W - W² + 2W - 24 = 24
W² - 14W + 48 = 0
From quadratic formula, we have;
[-(-14) ± √(-14)² - 4(1 × 48)]/(2 × 1)
This gives;
W = 8 or 6
From earlier, we saw that L = 14 - W
Thus, L = 14 - 6 = 8 or L = 14 - 8 = 6
Since values of W and L are similar, we will choose the higher value to be the length and the smaller value to be the width.
Thus, length = 8m and width = 6m
someone please help...
Answer:
2 1/3
1 4/3
2.333...
233.3...%
Step-by-step explanation:
Write an equation: Gianna finds $20 on the floor, and she starts saves her allowance
of $5 every week.
Answer:
5x +20
Step-by-step explanation:
A $120 wagon is on sale for 15 percent off. What is the sale price of the wagon?
$18
$102
$105
$108
Answer:
The answer is $102.
Step-by-step explanation:
The main question here is, what is the sale price of the wagon?
1. Let's compute for 15% of 120.
15%×12015/100×1203/20×1203×6182. So now let us subtract 18 from 120.
You should get 102.Hope this helps and if you could mark this as brainliest. Thanks!
The required sale price of the wagon is $102. So the correct answer is an option (b).
What is the percentage?The percentage is the ratio of the composition of value to the overall composition of value multiplied by 100.
Here, to calculate the sale price of the wagon, we need to find out the discount amount first, and then subtract it from the original price.
Discount amount = 15% of $120
= 0.15 x $120
= $18
Sale price = Original price - Discount amount
= $120 - $18
= $102
Therefore, the sale price of the wagon is $102. So the correct answer is an option (b).
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HCF of 16, 50, 80 I need it please help me
Answer:
HCF = 2
Step-by-step explanation:
➲The HCF or GCF is the highest factor that occurs in all listed numbers, so lets start by listing all the factors and find the highes shared number.
▶The factors of 16 are: 1, 2, 4, 8, 16
▶The factors of 50 are: 1, 2, 5, 10, 25, 50
▶The factors of 80 are: 1, 2, 4, 5, 8, 10, 16, 20, 40, 80
➲As we can see the highest number they share is 2 so the HCF or GCF is 2.
Brainliest is much appreciated! Hope this helped!
What is the formula for area of a parallelogram?
Use x for multiplication and / for division is necessary.
Answer:
The area of a polygon is the number of square units inside the polygon. Area is 2-dimensional like a carpet or an area rug.
Step-by-step explanation:
A parallelogram is a 4-sided shape formed by two pairs of parallel lines. Opposite sides are equal in length and opposite angles are equal in measure. To find the area of a parallelogram, multiply the base by the height. The formula is:
A = B * H where B is the base, H is the height, and * means multiply.
The base and height of a parallelogram must be perpendicular. However, the lateral sides of a parallelogram are not perpendicular to the base. Thus, a dotted line is drawn to represent the height. Let's look at some examples involving the area of a parallelogram.
Which one of these words describe mirror image
A.Translation
B.Dialation
C.Reflection
D.Rotation
Reflection. A reflection is what appears to be the same distance from the other side of the mirror.
HURRY plzz Identify to corresponding side to side HG.
Answer:
it would be EC (B)
Step-by-step explanation:
I think the answer is b sorry if its whrong and good luck!
just look at the picture
Answer:
80 and 9 in that order.
Step-by-step explanation:
Does it matter what order you add integers?
Answer:
Yes!
Step-by-step explanation:
If not people won't understand the concept of the problem you are working on. Hope this helps please reward me brainlist!!!
Answer:
it depends with what you are doing or using them for
It depends with what you are doing with them
Please help:) Due soon!:)
Is it:
A: y-4= -2/3(x+3)
B: y-2= -2/3(x-6)
C: y+4= 2/3(x-3)
D: y+6= 2/3(x-2)
PLEASE HELP!! REALLY URGENT!!
Answer:
it's the first option
Step-by-step explanation:
Jody's older brother is only three years less than twice Jody's age. If the sum of their ages is 30, write an equation (do not solve) to find the age of Jody's brother.
Answer:
y = 2x-3
Step-by-step explanation:
Twice the age means 2x
three less means -3
2x -3 = y
y = 2x -3
Brainliest appreciated!
HELP PLZ PLZ PZZZZZZZZZZZ
Answer:
C
Step-by-step explanation:
Answer: Distrubutive Property
Step-by-step explanation:
Distrubutive Property is when you have a number, then you have an equation in parenthesis next to it.
find the values of x, y, and z
Answer:
PLEASE MARK AS BRAINLIEST
Z = 130
Y = 50
X = 130
Step-by-step explanation:
hope this helped
A cow is eating green grass that grows in a field.
Which type of organism is the grass in this scenario
consumer
decomposer
prey
producer
A cow is eating green grass that grows in a field. The grass in this scenario is the producer.
'This is a basic food chain. The grass is a living organism that utilizes energy from the sun to make its own food through an interaction called photosynthesis. Then, different creatures eat the grass; it is their wellspring of energy.
Every living organism (plants and creatures) should eat food for the endurance of some sort or another. Plants make their own food through an interaction called photosynthesis. Using the energy from the sun, water, and carbon dioxide from the air and nutrients, they artificially make their own food. Since they make or produce their own food they are called makers.
Organisms that don't make their own food should eat either plants or creatures. They are called buyers. A few creatures get their energy from eating plants while different creatures get energy in a roundabout way from plants by eating different creatures that previously ate the plants.
Creatures that eat just plants are called herbivores. Creatures that eat the two plants and other creatures are called omnivores. Creatures that eat just different creatures are called carnivores.
A few creatures eat just dead or decaying materials and are called decomposers.
to know more about energy click here:
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Which expression is equivalent to (x^2/3)^3/2?
Answer:
x
Step-by-step explanation:
[tex] \frac{2}{ x3} \times \frac{3}{2} \\ \frac{1}{3} \times 3 \\ \frac{1}{ x3 } \times 3 \\ {x}^{1} \\ x[/tex]
Can somebody help me in this question? It would be very appreciated! :)
Answer:
see explanation
Step-by-step explanation:
The area (A) of a rectangle is calculated as
A = width × length
let width be w then length is 2w + 3 ( 3 more than twice the width ), then
A = w(2w + 3) ← distribute
= 2w² + 3w
When w = 4 , then
A = 2(4)² + 3(4)
= 2(16) + 12
= 32 + 12
= 44 ft²
Happy Thanksgiving!
2^9x6^3=
Answer:
offFfffff ^^3
Step-by-step explanation:
TYSMMMMM!!!!!!!;-;
A card is drawn from a standard deck of 52 cards. What is the probability this card will be a king or an ace?
A. about 3.9%
B. about 7.7%
C. about 15.4%
D. about 50%
Answer:
C. about 15.4%
Step-by-step explanation:
There are 52 cards in a deck
There are 4 kings and 4 aces
so, 8/52 is the chance of getting either of those two.
8/52 is about 0.1538 or 15.38%
15.38% rounded would be 15.4%
4x + 1 = 2x-5 HELP QUICKKKKKKKKKKKKKKK
Answer:
4x_2x=_5_1
2x=_6
2x/2=_6/2
X=_3
Answer:
x = - 3
Step-by-step explanation:
Given
4x + 1 = 2x - 5 ( subtract 2x from both sides )
2x + 1 = - 5 ( subtract 1 from both sides )
2x = - 6 ( divide both sides by 2 )
x = - 3
please solve both questions, i'm very confused! thank you
Answer:
Step-by-step explanation:
These types of problems can be solved with substitution.
We just have to translate the word problem into math.
#1:
F = family, I = individual
[tex]F + I = 188\\95F + 42I = 12,507[/tex]
[tex]F = 188-I\\95(188-I) + 42I = 12507\\17860 - 95I + 42I = 12507\\-53I = -5353\\I = 101\\\\F + I = 188\\F + 101 = 188\\F = 87[/tex]
87 Families, 101 individuals
#2:
The perimeter is 899 meters. The perimeter can be defined as:
[tex]2L + 2W = P\\2L + 2W = 899[/tex]
We are also given that
[tex]2L = W - 100\\so\\2L + 2W = 899\\W- 100 + 2W = 899\\3W = 999\\W = 333\\\\L = \frac{W-100}{2} = \frac{333-100}{2} = \frac{233}{2}[/tex]
W = 333 meters, L = 233/2 meters
Which expression is undefined
Answer:
A
Step-by-step explanation:
Any rational expression where the denominator is zero is undefined.
The only expression where the denominator is zero is A [tex]\frac{7}{0}[/tex]
Question 25
2 pts
Seth's father is thinking of buying his son a summer movie pass for $30 dollars.
With the pass, matinees cost $3 each. Without the pass each movie is normally
$8. If Seth plans to go to 30 movies this summer how much money would he
save? ONLY PUT THE NUMBER, NO DOLLAR SIGN.
Answer:
120
Step-by-step explanation:
First, you have to calculate the money that Seth would spent if he goes to 30 movies if his father gets the summer movie pass by adding up the cost of the pass plus the result of multiplying the cost per movie with the pass for the number of movies:
30+(3*30)=30+90=120
Second, you need to calculate the money that Seth would spent if he goes to 30 movies without the pass by multiplying the normal price per movie for the number of movies:
8*30=240
Third, you need to find the difference between both costs:
240-120=120
According to this, the answer is that if Seth plans to go to 30 movies this summer, he would save 120.
I need help someone help me out please
Answer:
(multiple)
Step-by-step explanation:
it says 2,0 which 2 is the bottom line. You go to 2 at the bottom then go up to 0. Therefore, 2 is C. Start on the bottom, and move your finger up until you hit the second number. Right in the middle of that is your answer. Hope this helps! :)
If Balenciaga advertised a sale that gave customers a ⅕ discount, what is the new price of a pair of $1500 sunglasses?
Answer:
$300
Step-by-step explanation:
1/5 of 1500 is 300
Answer:
$300
Step-by-step explanation:
The new price of the sun glasses is $300 dollars...because
1/5=20%, so...
20% of 1,500
You would change 20% to a decimal giving you
.20*1,500
300
If sin t = -8/17 and t is a quadrant III angle, find cot t
Answer:cot t = 1.875
[tex]sin t=\frac{-8}{17}[/tex] but sin²t + cos²t = 1 ⇔ cos²t = 1 - sin²t
⇔cos t = [tex]\sqrt{1-sin^{2}t }=\sqrt{1-(\frac{-8}{17})^{2} }=|\frac{15}{17}|[/tex]
but t is a quadrant III angle => cos t = [tex]\frac{-15}{17}[/tex]
=> cot t = [tex]\frac{-15}{17}:\frac{-8}{17}=\frac{15}{8}=1.875[/tex]
Step-by-step explanation:
what is the slope of each side of the triangle? the sides are A(-2,4) B(-1,1) C(2,3)
Answer:
The slopes of three sides of triangle are as follows:
AB = -3
BC = 2/3
AC = -1/4
Step-by-step explanation:
The slope is denoted by m and is calculated using the formula
[tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]
The given vertices are:
A(-2,4) B(-1,1) C(2,3)
The sides will be:
AB, BC, AC
Let m1 be the slope of AB
Let m2 be the slope of BC
Let m3 be the slope of AC
Now
[tex]Slope\ of\ AB = m_1 = \frac{1-4}{-1+2} = \frac{-3}{1} = -3\\Slope\ of\ BC = m_2 = \frac{3-1}{2+1} = \frac{2}{3}\\Slope\ of\ AC = m_2 = \frac{3-4}{2+2} = \frac{-1}{4} = -\frac{1}{4}[/tex]
Hence,
The slopes of three sides of triangle are as follows:
AB = -3
BC = 2/3
AC = -1/4
Solve this please!!!!!
Answer:
20) x=76
21) x=15
Step-by-step explanation:
20) 152+x-48=180
76=x
152+76-48=180
21) 90=6x
x=15
90=(6)(15)