Answer:
Replace all occurrences of +− with a single −. A plus sign followed by a minus sign has the same mathematical meaning as a single minus sign because 1⋅−1 = −1
Y=x²−10, Y=2x−4
Eliminate the equal sides of each equation and combine.
x²−10 = 2x−4
Solve x²−10 = 2x−4 for x.
x= 1+√7, 1−√7
Evaluate Y when x = 1 + √7.
Y =−2 + 2√7
Evaluate Y when x = 1 − √7.
Y=−2 − 2√7
The solution to the system is the complete set of ordered pairs that are valid solutions.
(1+√7,−2+2√7)
(1−√7,−2−2√7)
The result can be shown in multiple forms.
Point Form:
(1+√7, −2+2√7), (1−√7, −2−2√7)
Equation Form:
x= 1+√7, y= −2+2√7
x= 1−√7, y= −2−2√7
Step-by-step explanation:
The length of a rectangle is 15 less than three times the width. The perimeter of the rectangle is 178 centimeters. What is the length of the rectangle?
Answer:
40.5in
Step-by-step explanation:
Given data
Let the width be x
L= 3x-15
Perimeter= 178cm
We know that
P=2L+2W
substitute
178= 2(3x-15)+2x
open bracket
178=6x-30+2x
collect like terms
178=8x-30
178-30= 8x
148= 8x
divide both sides by 8
x= 148/8
x=18.5 in
but L= 3x-15
L= 3*18.5-15
L=55.5-15
L=40.5 in
Hence the length is 40.5in
help please !! solve for x
Answer:
The value of x=4.5
Step-by-step explanation:
4.5+x=9
or, x=9-4.5
or, x=4.5
The fish population in a local stream is decreasing at a rate of 3% per year. The original population was 48,000. Write an exponential function to model this situation. Then find the population after 7 years.
Answer:
Results are below.
Step-by-step explanation:
Giving the following information:
Decrease rate (d)= 7%
Number of periods (n)= 7 years
Current population (PV)= 48,000
First, to calculate the future value, we need to use the following decrease exponential formula:
FV= PV*[(1+d)^-n]
After 7 years:
FV= 48,000*(1.07^-7)
FV= 29,892
The fish population after 7 years is 38783
An exponential decay is in the form:
y = abˣ;
where y, x are variables, a is the initial value of y and b is < 1
Let y represent the fish population after x years.
Since there is initially 48000 fish, hence a = 48000. Also it decrease at a rate of 3% per year. Hence b = 100% - 3% = 97% = 0.97
Therefore:
y = 48000(0.97)ˣ
After 7 years:
y = 48000(0.97)⁷ = 38783
Therefore the fish population after 7 years is 38783
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54,675+33,548,000x^1+a^2=?
Answer:
?
Step-by-step explanation:
54,675+33,548,000x^1+a^2=
get rid of ^1 cuz that doesn't change the value
a^2 can be written as 2a because a^2= a*a and 2a= a*a
54,675+33,548,000x+2a
54,675+33,548,000x= -2a-54675
33,548,000x=-2a-54675
16774000x=-a-27337.5
x=-a - 27337.5
x=-a-27337.5/ 16774000
I obviously know this isn't a real question but here
Answer:
Step-by-step explanation:hey Karlie
does anyone have a private server on royal high I need the new set pls
Answer:
Nope but I hope you find one soon. -Your friend, Bill Cipher
Step-by-step explanation:
Answer:
I do!! My user is; AngelCookiesSmiles. c:
Step-by-step explanation:
Please show your work.
x=6.928 if rounded to the nearest thousandth
I posted a picture of my work to find this answer
Hope this Helped
how do you solve −2x−4=3x+1 by graphing
Answer:
Step-by-step explanation:
You first have to simplify...
-2x-4=3x+1 (-1 both sides)
-2x-5=3x (+2x both sides)
-5=5x
-1=x
So graphing that would be a vertical line on -1.
Last year, Chang opened an investment account with S8500. At the end of the year, the amount in the account had decreased by 6.8% How much is this
decrease in dollars? How much money was in his account at the end of last year?
Decrease in amount:
Year-end amount:
Answer:
Decrease in amount= $578
Year-end amount= $7,922
Step-by-step explanation:
0.068=x/8500
Isolate x to multiply 0.068 by 8500= 578 which is the decrease in dollars.
so, 8500-578= $7,922 is how much money was in his account at the end of last year.
Decrease in amount: $578
Year-end amount: $7922
What is a percentage?A ratio or value that may be stated as a fraction of 100 is called a percentage. And it is represented by the symbol '%'.
Given:
Last year, Chang opened an investment account with, $8500.
At the end of the year, the amount in the account had decreased by 6.8%
To find the decrease in amount;
6.8% of $8500
= 8500 x 6.8 / 100
= 57800/100
= $578
At the end of the last year, amount,
$8500 - $578
= $7922
Therefore, the required amounts are $578 and $7922.
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Identify the area of the polygon that has vertices T(−3,1), S(−5,−4), A(−8,1), and N(−4,5)
Answer:
22.5
Step-by-step explanation:
The area of the polygon ABCD is 3/2 square units.
What is polygon?"It is two dimensional geometric figure having finite sides and vertices." A polygon is a two-dimensional geometric figure that has a finite number of sides. The sides of a polygon are made of straight line segments connected to each other end to end. Thus, the line segments of a polygon are called sides or edges.
here, we have,
we know that,
formula to find the area of the polygon:
"If polygon having vertices (x1, y1), ....(xn,yn) then the area of the polygon is,
A = 1/2 * | (x1y2 - x2y1) + ( x2y3 - x3y2) + .....+ (xny1 - ynx1)
This formula is also known as shoelace formula."
For given example,
the polygon has vertices T(−3,1), S(−5,−4), A(−8,1), and N(−4,5)
Consider given vertices of polygon as,
(x1, y1) = (−3,1)
(x2, y2)=(−5,−4)
(x3, y3)=(−8,1)
(x4, y4)=(−4,5)
Using the formula of area of the polygon the area of the polygon ABCD would be,
A = 1/2 * | (x1y2 - x2y1) + ( x2y3 - x3y2) + .....+ (x4y1 - y4x1)
so, solving we get,
A = 1/2 | 17 + 27 - 36 -11|
A = 3/2
Therefore, the area of the polygon ABCD is 3/2 square units.
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Tom needs 2 tablespoons of cleaning product for every 5 quarts of water. How many tablespoons of cleaning product would he need for 4 quarts of water?
Answer:
The answer is 256 :)
Step-by-step explanation:
You multiply the volume by 64
How do I round my answer to both a and b?
Answer:
A. 568 B. 266
Step-by-step explanation:
A. 568 because that is the nearest foot. If the tenths place was 5 or more you would round to 569.
B. im not sure which number was b, im assuming its 266. Yoh can just levae it as is.
Off topic; nice handwriting
A.
18 cm
B.
40 cm
C.
20 cm
D.
36 cm
Answer:
C
Step-by-step explanation:
108/(108-72) = 108/36 = 3
60/3 = 20
Jacksons kitty weighed 2 pounds and 3 ounces a month later the kitty weighed 56 ounces how much weight did the kitty gain in that month
Answer:
21 ounces
Step-by-step explanation:
2 pounds→ convert to ounces= 32
32 ounces+ 3 ounces= 35
56 ounces-35 ounces= 21 ounces
Answer:
21 ounces
Step-by-step explanation:
1 pound=16 ounces
16 x 2=32
32+3=35
56-35=21
Given the folk functions f(x) and g(x) solve (f+g)(5) and select the correct answer below:
f(x) 8x-13
g(x)=x-9
A.)27
B.)23
C.)31
D.)40
Is this table linear
Answer:
yesZ?
Step-by-step explanation:
Answer: Yes the table above is indeed linear
Step-by-step explanation:
Just trust
Another house is sold for £283,392
This is 1.6% less than the price paid for the house. What was the price paid?
Answer:
the price paid is £288,000
Step-by-step explanation:
The computation of the price paid is shown below:
Sale of the another house is £283,392
Since the another house would be 1.6% less than the price paid
So, the price paid would be
= £283,392 × 100 ÷ (100 - 1.6%)
= £283,392 × 100 ÷ 98.4
= £288,000
Hence, the price paid is £288,000
Can someone please help me ?
Answer:
It 3.3
Step-by-step explanation:
This is because I divided the two number given in both triangles (3 and 2). With that I got 1.5 as the factor scale of both triangle. I then used 1.5 and dicided it with 5 and I got 3.3 as my answer.
I hope this helped
Josh attempted 56 free throws during the basketball season. He made 5/7 of them.
Use multiplication to find out how many free throws Josh missed.
Answer:
He made about 32 free throws which means he missed 24
Step-by-step explanation:
Answer: 16 shots missed
Step-by-step explanation:
Multiply 56 x 5/7 to get 40
40 is how many he made so just subtract 40 from 56
56 - 40 = 16
☆º°˚*☆ Have a ηice day ☆º°˚*☆
A can contains 414 mL of chicken broth. Rick poured 4 cans of broth into a pot for a soup recipe. How many liters of broth did Rick pour in the soup? 16.56 L 4.14 L 1.656 L 0.1656 L
Answer:
Amount of chicken broth used = 1.656 L
Step-by-step explanation:
Given:
Amount of chicken broth in 1 can = 414 ml
Number of can Rick use = 4 cans
Find:
Amount of chicken broth used
Computation:
Amount of chicken broth used = Amount of chicken broth in 1 can x Number of can Rick use
Amount of chicken broth used = 414 x 4
Amount of chicken broth used = 1,656 ml
Amount of chicken broth used = 1.656 L
When looking at a graph where do you find the roots of an equation?
Answer:
The points at which the graph crosses or touches x- axis, give the real roots of the function (or zeros of the function) represented by the graph. If the graph touches x-axis and turns back, then it would be a double root at that point.
Step-by-step explanation:
I HOPE THIS HELPS* :)
Which expression is in simplest form?
The simplest form is 2x²√7y.
what is algebraic expression ?To simplify an expression suggests writing an equivalent expression that contains no equivalent terms. This means that we will rewrite the expression with the rarest terms possible.
In mathematics, an expression that incorporates variables, constants, and algebraic operations is known as an algebraic expression (addition, subtraction, etc.). Terms comprise expressions.
The simplest form is 2x²√7y.
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When using substitution to solve systems of equations that have no solution or indefinitely many solutions, the variable terms are the same on both sides. How is the solution determined by the constants in the equations?
Answer:
e
Step-by-step explanation:
When using substitution to solve systems of equations that have no solution or indefinitely many solutions, the variable terms are the same on both sides. How is the solution determined by the constants in the equations?
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Ten years ago, Victor's age was half of the age he will be in 10 years. How old is he
now?
Answer:
It's the same
Step-by-step explanation:
Cause im smart
Present age of the Victor as per given condition of the equation formed is equals to [tex]30[/tex] years.
What is equation?" Equation is defined as the relation between the variables and numbers using the sign of equality."
According to the question,
[tex]'x'[/tex] represents the present age of the Victor
[tex]'x+10'[/tex] represents the age of the Victor 10 years now
[tex]'x-10'[/tex] represents the age of the Victor 10 years ago
As per condition given equation we get,
[tex]x-10 = \frac{1}{2} (x+10)[/tex]
Simplify the equation to get the present age ,
[tex]2(x-10) = x+10\\ \\\implies 2x-20 = x+10\\\\\implies 2x-x = 20 +10\\\\\implies x =30[/tex]
Hence, present age of the Victor as per given condition of the equation formed is equals to [tex]30[/tex] years.
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2a + 2b = y
Solve for the variable, a
Answer:
A= y−2B/2
Step-by-step explanation:
Its in a fraction form
12.009 × 4.1= ?
can you anwser it proplerly
Answer:
49.2369
Step-by-step explanation:
Ignore the decimals for now and multiply it. Once you get the answers, push the decimal back four times since there are four numbers in the decimal part.
Write down the ratio of 220kg to 5kg give your answer in its simplest form?
Answer:
44:1
Step-by-step explanation:
220:5
44:1
divide by 5 each side
Pls mark as brainliest
Is this a function?
Explain your thinking.
Step-by-step explanation:
You can tell whether a relation is a function by plotting the numbers on a graph and applying the vertical line test. If no vertical line passing through the graph intersects it at more than one point, the relation is a function.
PLEASE I NEED HELP ASAP!!!!
I will give brianliest if you have explanation and workings!!
Answer:
6.85
Step-by-step explanation:
a^2+3.4^2=7.65^2
a^2=46.96
a=6.85
I used Pythagorean theorem, I hope I am right
Josh is building bookshelves to sell at a furniture store. First he built three small bookshelves and one large bookshelf using a total of 136 nails. Later he built nine small bookshelves and eight large book shelves using a total of 698 nails. How many nails does Josh used to build the shelves
Answer:
Step-by-step explanation:
Josh is building bookshelves to sell at a furniture store. First he built three small bookshelves and one large bookshelf using a total of 136 nails. Later he built nine small bookshelves and eight large book shelves using a total of 698 nails. How many nails does Josh used to build the shelves
Lincoln middle school plans to collect more than 2,000 cans of food in a food drive. So far, 668 cans have been collected. Write and inequality to find numbers of cams the school can collect on each of the final 7 days of the drive to meet this goal
Answer:
The answer is "[tex]\bold{668 + 7x > 2,000}[/tex]"
Step-by-step explanation:
7x = x is the cans obtained within 7 days 668 is the number of cans that are already obtained. Its number for goal cans is 2000. So, the equation is:
[tex]\to 7 x + 668 < 2000[/tex]
subtract and add the value 668:
[tex]- 668 \ \ \ \ \ -668[/tex]
[tex]\to 7x +0 < 1332[/tex]
Divide the value 7:
[tex]7 \ \ \ \ \ \ 7[/tex]
[tex]\to x < 190.30 \\\\OR\\\\\to x < 190\\\\[/tex]