Answer:
Step-by-step explanation:
First we need to factorize the given area of the rectangle as shown;
Given
A(x) = x^2-10x+16
Factorize
A(x) = x²-8x-2x+16
A(x) = (x²-8x)-(2x+16)
A(x) = x(x-8)-2(x-8)
A(x) = (x-2)(x-8)
Since area of a rectangle = length ×width
Hence the binomial that represents the width of the pool is w(x) = x-2
b) If the width of the deck is 17feet
Width = x-2
17 = x-2
x = 17+2
x = 19feet
Get the length
Length = x-8
Length = 19-8
Length = 11
Get the perimeter
P = 2(L+W)
P = 2(17+11)
P =2(28)
P = 56feet
Perimeter of the deck is 56feet
I need help plz like ASAP
Answer:
1.25
Step-by-step explanation:
First we should fill in what we know. They mentioned that the y would be the numerator (# on the top) and the x would be the denominator (# in the bottom).
[tex]\frac{3}{24} =\frac{y}{10}[/tex] <---- This will be your proportion
Now we will cross multiply and make a equation. So we will do 3 * 10 which equals 30 and then 24 * y which is 24y. So now our equation will look like this.
[tex]30=24y\\y=1.25[/tex]
Then when you solve the equation you'll get 1.25
use a recursive function for the geometric sequence 2, -6, 18, -54,... to represent the 9th term.
f(9) = f(8) • (-3)
f(9) = f(1) • (-3)^8
f(9) = f(1) + -3(8)
f(9) = f(8) + -3(8)
Answer:
f(9) = f(8)·(-3)
Step-by-step explanation:
A recursive function is one where each successive term is calculated using the previous term;
The clear pattern demonstrated in the sequence of terms shown is that each term is multiplied by -3 to give the next one;
Hence, the correct option is the first.
Answer:
The Answer is A. f(9) = f(8) • (−3)
Hope This Helps!
To solve -3 = -19 + , what steps would you use?
_________19
___________ 5
Answer:
16
Step-by-step explanation:
you need to first find out what number goes behind -19 and to do this you have to do -19 plus 16 because this equals -3 now your done
Please answer correctly !!!!!!!!!!!!!!!!!! Will mark brainliest !!!!!!!!!!!!!!!!!!
Answer:
The answer is x = 15.
Step-by-step explanation:
To solve this problem, we must first notice that the two angles given are supplementary (their sum adds to 180 degrees).
This lets us create the following equation:
(6x-5) + (6x+5) = 180
We can get rid of the parentheses and simplify the left side of the equation.
6x + 6x - 5 + 5 = 180
12x = 180
To solve for x, we must divide both sides of the equation by 12.
x = 180/12 = 15
Therefore, the correct answer is x = 15.
Hope this helps!
fimd the measure of an interior angle polygon with 12 sides
Answer:
150 degrees
Step-by-step explanation:
This image should help. (It was hard to explain, sorry about that ._.)
(suod P.) 240/29 US wa Qures a sus sed pape SeaRJOAM
nguo
send
Answer:
English....
Step-by-step explanation:
Help ill give brainlist
Activity Warren's tape measure is marked in increments of 16 inch, not in decimal numbers. To measure the tiles, he needs to know the side lengths to to incħ. In this activity, you will convert decimal values to fractional values and then calculate the area of the tiles. the nearest Question 1 Part A The length of tile A is about 2.23607inches, which mark on the tape measure is closest to 2.23607inches? Remember, the tape measure is marked in sixteenths of an inch.
Answer:
the fourth mark after 2 inches
Step-by-step explanation:
each tile measures 2.23607 inches long
That means that the mark will be 2 inches and somewhere in between the third and fourth mark. The third mark is equivalent to 0.1875 inches and the fourth mark is equivalent to 0.25 inches. The mark closest to the actual length of the tile would be the fourth mark after 2 inches.
each mark represents 1 / 16 = 0.0625 inches, if we divide 0.23607 by 0.0625 = 3.69072 marks which we can round to 4 marks
Dan invests £1500 into his bank account.
He receives 2.5% per year simple interest.
How much will Dan have after 4 years?
Give your answer to the nearest penny where appropriate.
Answer:
1500+500=15500
Step-by-step explanation:
PRT/100
=1500×2.5×4/100
=150
15000+500=£15500
15500×100=1,550,000penny
Answer: 1655.72
Step-by-step explanation:
1500( 1 + 0.025)^4 = 1655.72
Can you guys check these :) I’ll give brainleist :)
Answer:
9. No
10. Yes
Step-by-step explanation:
The first one is not, since you have (3, 3) and (3, 9). In a function, each x maps to a single y.
The second one is since every x appears only once.
What is a number that has
a 6 in the thousandths place, a 5 in the
hundredths place, and a 0 in the tenths
place. Then write a number less than
your number and a number greater than
your number.
Answer:
Step-by-step explanation:
there is no real answer:
Ok, so a number with all of those characteristics would be 6501, but the last digit can be anything from 1 to 9. a number greater could be anything, so i would choose 6601, and less would be 6401.
The number is 0.056.
The number less than the number 0.056 is 0.0056.
And the number greater than the number 0.056 is 0.56.
What is a place value?Place value, which is related to a digit's location in a number, is the amount that each digit is worth.
A number that has a 6 in the thousandths place, a 5 in the hundredths place, and a 0 in the tenths place.
Let the number is 0.056
And the number greater than the number 0.056 is 0.56.
The number less than the number 0.056 is 0.0056.
Therefore, the numbers are 0.056, 0.56 and 0.0056 in the respective order.
To learn more about the place value;
https://brainly.com/question/27734142
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2. (i) Find the area of a circle whose circumference
is 52.8 cm
Answer:
A≈8758.26
Step-by-step explanation:
[tex]A\pi r{2}[/tex]=π·52.8[tex]{2}[/tex]
value of pi is approximately 3.14 so
3.14*52.8[tex]{2}[/tex]
≈8758.26
Answer:
[tex]221.8 cm^{2}[/tex]
Step-by-step explanation:
[tex]C=2\pi r\\A=\pi r^{2}[/tex]
[tex]2\pi r=52.8\\r=\frac{52.8}{2\pi }[/tex]
[tex]A=\pi ((\frac{52.8}{2\pi }) ^{2} )[/tex]
[tex]A=\pi (70.61681215)[/tex]
[tex]A = 221.8 cm^{2}[/tex]
Stanley has a part time job planting flowers at the green thumb green house. He earns $11.40 per hour. If he worked 13.5 hours this week, how much did her earn
f(x) = 3x + 1 ; If f(x) = 16 then what does x = ?
A. 4
B. 5
C. 6
D. 7
Hi
3x+1 = 16
3x = 15
x = 5
10 times as much as 50 is it equal to 5000?
Answer:
10 times 50 is 500 not 5000
Step-by-step explanation:
hope this helps have a good day!
The price of a video game is $60 plus 6% sales tax.
What is the sales tax on this video game in dollars and
cents?
3 dollars and 60 cents
6% of 60 is 3.60
sorry i’m kinda dumb
2x+10=28
2x=18
x=9
Please give me brainliest!
A coordinate plane with a line passing through (0, negative 3), (2, 0), and (4, 3).
Which equation represents the graphed function?
–3x + 2 = y
–x + 2 = y
x – 3 = y
2x – 3 = y
Answer:
I don't see the answer but it is 3/2x - 3 = y
Step-by-step explanation:
did it on edge 2020
The equation of the line representing the graphed function is y = ( 3/ 2 ) x - 3. Option E is correct.
What is an equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
The equation is formed by finding the slope using the coordinates ( 0,-3 ),( 2, 0 ) and ( 4, 3 ).
The slope is calculated as,
[tex]m = \dfrac{x_2-x_1}{y_2-y_1}[/tex]
x₁ = 0, y₁ = -3 and x₂ = 2, y₂ = 0.
The equation is given as,
y = mx + c
y = (-3/2)x - 3
Therefore, the equation of the line representing the graphed function is y = ( 3/ 2 ) x - 3.
The complete question is given below;-
A coordinate plane with a line passing through (0, negative 3), (2, 0), and (4, 3).
Which equation represents the graphed function?
–3x + 2 = y
–x + 2 = y
x – 3 = y
2x – 3 = y
y = ( 3/ 2 ) x - 3.
To know more about equations follow
https://brainly.com/question/2972832
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Solve for x
6.5-0.9n=-4.12
Answer:x=11.8
Step-by-step explanation:
HELP FAST PLS
DO −2(x+5)>4 WITH EXPLANATION!! <3
Answer:
i think x≥6
Step-by-step explanation:
Answer:
x<−7
Step-by-step explanation:
Multiply both sides by -1(reverse the inequality)::
(-2x+5))(-1)<4(-1)
Simplify::
2(x+5)>-4
Divide by 2 on both sides::
2(x+5)/2<-4/2
Simplify::
x+5<-2
Subtract 5 from both sides::
x+5-5<-2-5
Simplify::x<-7
Katherine uses
7/10
of a gallon of red paint to paint 3/5
of her wall.
How many gallons of red paint will she use to paint her whole wall?
A) 21/50
B)7/15
C) 1 1/6
D) 1 3/10
Answer:
1 1/6 gallons will paint the whole wall
Step-by-step explanation:
7/ 10 gallon paints 3/5 of wall
x gallon will paint 1/1 of wall
7/10 * 1 = x * 3/5
7/10 = 3x/5
3x * 10 = 5 * 7
30x = 35
x = 35/30
x = 7/6 = 1 1/6 gallons
Solve the system by substitution 5x+y=-10. 4x-7y=-8
Answer:
x = -2 and y = 0
Step-by-step explanation:
5x + y = -10
4x - 7y = -8
Rearrange the first equation to equal y.
5x + y = -10
y = -10 - 5x
Replace y in the second equation with the first equation.
4x - 7y = -8
4x - 7(-10 - 5x) = -8
4x - (-70 -35x) = -8
4x + 70 + 35x = -8
Rearrange the equation to find x.
4x + 35x = -8 - 70
39x = -78
x = -2
Now that you know x, use the rearranged first equation to find y.
y = -10 - 5x
y = -10 - 5(-2)
y = -10 + 10
y = 0
True or false? Help me out pls
Answer:
False
Step-by-step explanation:
If it was true it would run up three times and go to the right 2 times. If you notice the picture it goes up 2 times and it runs 3 times.
Slope is rise/run
Select three ratios that are equivalent to 16: 12.
Choose 3 answers:
A
8:6
(в
32:24
4:3
12:8
(E
24:16
Answer:
Step-by-step explanation:
16 : 12 = 4: 3
The answer is B
Anwser:
Step by step explanation: 8:6
32:24
Find three consecutive odd integers such that the sum of the first, two times the second, and three times the third is 70
Answer:
9, 11 and 13
Step-by-step explanation:
Let the integers be x, x + 2, x + 4.
x + 2(x + 2) + 3(x + 4) = 70
x + 2x + 4 + 3x + 12 = 70
6x = 54
x = 9
therefore the three integers are 9, 11 and 13
This is a question on forming and solving algebraic equations. If you wish to venture further into it/understand this topic better, you may want to follow my Instagram account (learntionary), where I post some of my own notes on certain topics and also some tips that may be useful to you :)
Five years ago, John's age was half of the age he will be in 8 years. How old is he now?
Answer:
Five years ago, John’s age was half of the age he will be in 8 years. How old is he
He is 18
Step-by-step explanation:
Solution:
=x-5 = (x+8)/2
=2[x-5 = (x+8)/2]
=2x-10 = x+8
=2x-x=10+8
=x=18
ANS: x=18
8. Aaron and Zelly want to rent a tandem bike so that
they can ride together. The rental for a tandem bike is
$18.50 per hour plus $3 for each helmet. Aaron and
Zelly have $80 to spend on the bike rental. Which
equation can be used to find h, the number of hours
they can rent a tandem bike? (hint: if you do not know
what a tandem bike is, you need to look it up!)
80 = 6h + 18.50
80 = 18.50h + 3
80 = 18.50h + 6
80 = 3h + 18.50
Answer:
[tex]80 = 18.50h + 6[/tex]
Step-by-step explanation:
Given
[tex]Amount = \$80[/tex]
[tex]Rent = \$18.50[/tex] per hour
[tex]Helmet = \$3.0[/tex]
[tex]Individuals =2[/tex]
Required
Derive an expression for the scenario
A tandem bike allows 2 individuals to ride on it at a time.
So, they will only pay for one rental fee because both can ride on it at the same time.
However, they need to get separate helmets.
For Helmets, they will spend:
[tex]\$3 * 2 =\$ 6[/tex]
For Rental, they will spend
[tex]\$18.50 * h = \$18.50h[/tex] for h hours.
[tex]Total = Rentals + Helmets[/tex]
[tex]Total = 18.50h + 6[/tex]
Recall that they have just $80 to spend
So, substitute 80 for total
[tex]80 = 18.50h + 6[/tex]
Hence, option C answers the question.
SOMEONE HELP ME PLEASE
6
Step-by-step explanation:
here,
4x +2=15x-64
64+2=15x-4x
66=11x
x=66/11
x=6
Describe the graph of y = |x - 2| + 4
Answer:
Step-by-step explanation:
Note that this function resembles the absolute value function y = |x|.
The graph of y = |x| has its vertex at (0, 0) and opens up in a v-shape.
The graph of y = |x - 2| looks the same as that of y = |x|, but the entire graph has been translated 2 units to the right.
The graph of y = |x - 2| + 4 is that of y = |x - 2|, translated 4 units up.
Write an equation of a line that is parallel to the given line.
5. y = 7
6. x = 12
if you can also help with 7 that would be amazing
7. for what value of a are the graphs of 3y=6x-5 and 9y=ax+2
Answer:
5) y=5
6)x=7
7)a=18
Step-by-step explanation:
5) y= any number will work. don't add a variable like x
6)x= any number will work. don't add a variable
My work for 7 is in the picture. If you'd like me to explain more for 7 lmk :)