Answer:
x = -4, y = 8
Step-by-step explanation:
y = 2x + 16 -----(1)
2x - 7y = - 64 -------(2)
Substitute (1) in (2)
2x - 7(2x + 16) = - 64
2x - 14x - 112 = - 64
-12x = -64 + 112
-12x = 48
x = -4
Substitute x = -4 in (1)
y = 2(-4) + 16
y = -8 + 16
y =8
Answer:
It is -4,8.
Step-by-step explanation:
y=2x +16
{
-7y=-2x-64
-6y=-48
y=8 then using substitution you will get x=-4
Name the two solutions of (2x – 1)^2 = 25.
Answer:
3 & -2
Step-by-step explanation:
(2x – 1)^2 = 25
2x -1 = ±√25
2x -1 = ± 5
• 2x = 5+1
2x = 6
x = 3
• 2x = -5+1
2x = -4
x = -2
Answer:
Solution given:
(2x – 1)^2 = 25.
square root on both side
[tex]\sqrt{(2x-1)²}=\sqrt{25}[/tex]
2x-1=±5
Taking positive
2x-1=+5
2x=+5+1
x=6/2=3
Taking negative
2x-1=-5
2x=-5+1
x=-4/2
x=-2
The two Solution is x=-2 and x=3.
What is the area of the triangle?
Answer:
c
Step-by-step explanation:
If f(x)=5^x+2x and g(x)=3x-6
find (f+g)(x)
Answer:
(f+g)(x) = 5^x+5x-6
Step-by-step explanation:
f(x)=5^x+2x
g(x)=3x-6
(f+g)(x) = 5^x+2x+3x-6
Combine like terms
(f+g)(x) = 5^x+5x-6
A physical fitness association is including the mile run in its high school fitness test. The time for this event is known to possess a normal distribution with a mean of seconds and a standard deviation of seconds. Find the probability that a randomly selected high school student can run the mile in less than seconds. Round to four decimal places.
Answer:
This probability is the p-value of Z given [tex]Z = \frac{X - \mu}{\sigma}[/tex], considering X as less than X seconds, [tex]\mu[/tex] as the mean and [tex]\sigma[/tex] as the standard deviation.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
In this question:
Mean [tex]\mu[/tex], standard deviation [tex]\sigma[/tex].
Find the probability that a randomly selected high school student can run the mile in less than X seconds.
This probability is the p-value of Z given [tex]Z = \frac{X - \mu}{\sigma}[/tex], considering X as less than X seconds, [tex]\mu[/tex] as the mean and [tex]\sigma[/tex] as the standard deviation.
A shopkeeper sold 8 toys on the first day. The number tripled every
subsequent day. Find the total number of toys sold in six days.
Answer:
2912
Step-by-step explanation:
the answer is 2912 toys.....
A population of 30 deer is introduced into a wildlife sanctuary. It is estimated that the sanctuary can sustain up to 200 deer, so the growth is described by the logistic equation. Absent constraints, the population would grow by 10% per year.a. Predict the population after one year.b. Predict the population after two years.
Answer:
After one year the population will be 33 deers, and after two years it will be 36 deers.
Step-by-step explanation:
Given that a population of 30 deer is introduced into a wildlife sanctuary, and it is estimated that the sanctuary can sustain up to 200 deer, and absent constraints, the population would grow by 10% per year, to predict the population after one year and after two years, the following calculations must be performed:
A)
30 x 1.1 = X
33 = X
B)
30 x 1.1 ^ 2 = X
30 x 1.21 = X
36.3 = X
Therefore, after one year the population will be 33 deers, and after two years it will be 36 deers.
Simplify using order of operations.
Answer:
64 ÷ 16 = 4
Step-by-step explanation:
Using PEMDAS, you first do the parenthesis, which equals 64. Then you do the exponents, which 4² equals 16. Then you divide 64 by 16, which equals 4.
find the ratio of volumes of two cuboids whose sides are in the ratio 3/1
Answer:
The ratio of volumes is of 27.
Step-by-step explanation:
Volume of a cuboid:
A cuboid has dimensions length l, width w and height h. The volume is given by:
[tex]V = lwh[/tex]
Multiplying dimensions by 3:
This means that l = 3l, w = 3w, h = 3h. So
[tex]V_m = 3l(3w)(3h) = 3*3*3*lwh = 27lwh[/tex]
Ratio of volumes:
[tex]\frac{V_m}{V} = \frac{27lwh}{lwh} = 27[/tex]
The ratio of volumes is of 27.
Solve
3w - 4z = 8
2w + 3z = -6
A) w = -2
z = -2
B) w = -2
z = 0
C) w = 0
z = 2
D) w = 0
z = -2
Answer:
D
Step-by-step explanation:
Multiplying the first equation by 2 yields 6w - 8z = 16.
Multiplying the second equation by 3 yields 6w + 9z = -18.
Subtracting the two equations gives -17z = 34, and thus z = -2.
Substituting this back into the first equation gives that 3w+8=8, and thus w=0.
While making desserts for a bake sale, Nolan used 2 scoops of brown sugar as well as 1/2 of a scoop of white sugar. How much more brown sugar did Nolan use?
Answer:
1 ½ scoops more then white sugar
Find the length of side y.
y=_ft
Answer:
y = 5.66388 feet, (round that to whatever you need to round to)
Step-by-step explanation:
cos (51) = y/9
cos(51)*9=
y = 5.66388 feet
Do you think credit card banks want customers to pay off their balances?
Answer:
No.
Step-by-step explanation:
Six more than quotient of 12 and a number
Help me please help please
Answer:
D. 7°C
Step-by-step explanation:
The difference between two numbers is the distance between them on the number line.
4 -(-3) = 4 +3 = 7
Temperatures -3°C and +4°C are 7°C apart. The difference between the temperatures is 7°C.
_____
Additional comment
Often, in math, when we talk about the difference between A and B, we mean specifically the value (A-B). In plain English, when we talk about the difference between A and B, we mean the positive difference--the value obtained by subtracting the smaller number from the larger one.
Here, the difference between New York and London temperatures would ordinarily be interpreted in math to be -3 -4 = -7°C. That is not an answer choice, so we must assume the positive difference, 7°C, is intended.
Mr. Reid's storage bin is 4 feet long, 3 feet wide, and 7 feet tall. Can he fit 81 boxes that each has a volume of 1 cubic foot in his bin? Explain your answer
Answer:
Mr. Reid will be able to fit 81 boxes that each has a volume of 1 cubic foot in his bin, since it has a capacity of 84 cubic feet.
Step-by-step explanation:
Given that Mr. Reid's storage bin is 4 feet long, 3 feet wide, and 7 feet tall, to determine if he can fit 81 boxes that each has a volume of 1 cubic foot in his bin, the following calculation, knowing that the volume of a rectangular prism arises from multiplying its height by its width and its length:
4 x 3 x 7 = X
12 x 7 = X
84 = X
84 - (81 x 1) = X
84 - 81 = X
3 = X
Therefore, Mr. Reid will be able to fit 81 boxes that each has a volume of 1 cubic foot in his bin, since it has a capacity of 84 cubic feet.
algebra 2 question need help.
Answer: Choice C
h(x) = -x^4 + 2x^3 + 3x^2 + 4x + 5
===========================================
Explanation:
When reflecting the function f(x) over the y axis, we replace every x with -x and simplify like so
f(x) = -x^4 - 2x^3 + 3x^2 - 4x + 5
f(-x) = -(-x)^4 - 2(-x)^3 + 3(-x)^2 - 4(-x) + 5
f(-x) = -x^4 + 2x^3 + 3x^2 + 4x + 5
h(x) = -x^4 + 2x^3 + 3x^2 + 4x + 5
Note the sign changes that occur for the terms that have odd exponents (the terms -2x^3 and -4x become +2x^3 and +4x); while the even exponent terms keep the same sign.
The reason why we replace every x with -x is because of the examples mentioned below
-----------
Examples:
The point (1,2) moves to (-1,2) after a y axis reflection
Similarly, (-5,7) moves to (5,7) after a y axis reflection.
As you can see, the y coordinate stays the same but the x coordinate flips in sign from negative to positive or vice versa. This is the direct reason for the replacement of every x with -x.
What is the exact measurement of the line segment?
? divided by 1/3 = 6/7 what is the fraction that makes this true
The answer would be 2/7 if 2/7 is divided by 1/3 = 6/7 after applying the concept of basic arithmetic operation.
What is a fraction?Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.
It is given that:
divided by 1/3 = 6/7
Let the missing number is:
x divided by 1/3 = 6/7
x = (6/7)(1/3)
x = 2/7
Thus, the answer would be 2/7 if 2/7 is divided by 1/3 = 6/7 after applying the concept of basic arithmetic operation.
Learn more about the fraction here:
brainly.com/question/1301963
#SPJ2
The author received a total of $195,000 for the book sales. How many hardcover books were sold? Type in numbers only.
Answer:
Total 390 hardcover books were sold
Step-by-step explanation:
Complete question
The author received a total of $195,000 for the book sales. How many hardcover books were sold if the cost of one hardcover book is $500. Type in numbers only.
Solution
Given-
Total value of sale of hard cover = $195,000
Cost of one hardcover book = $500
Number of books sold = Total value of sale of hard cover/Cost of one hardcover book
Number of books sold = $195,000/$500
Number of books sold = 390
Total 390 hardcover books were sold.
14. Which makes the number sentence true?
12 - 3= 7+_
20 points!! A. 7 1/2 ft B. 9 ft C. 10 1/2 ft D. 12 ft.
Answer:
Area of a Parallelogram = Base x height
2½ can also be expressed as 5/2
So Bxh = 3 x 5/2
Area = 15/2
Or 7½ft²
Write the equation of the quadratic whose Vertex is at ( −4,−5) and passes through the point (−3, −7)
To Find :
The equation of the quadratic whose Vertex is at ( −4,−5) and passes through the point (−3, −7).
Solution :
A quadratic equation in vertex form is given by :
[tex]y = a(x-h)^2 + k[/tex]
( Here, h, k is the vertex )
y = a(x-(-4))² + (-5)
y = a(x+4)² - 5
Now, putting (-3,-7) in above equation:
-7 = a( -3 + 4 )² - 5
a(1)² = -2
a = -2
Therefore, the equation of the quadratic is y = -2(x+4)² - 5 .
2(3x – _) = 6x + 8 Using the distributive property, what would go in the blank in order for the given statement to be correct?
Answer:
2(3x - (-4)) = 6x + 8
Step-by-step explanation:
2(3x - A) = 6x + 8
6x - 2A = 6x + 8
Equating constant terms on both sides :
-2A = 8
A = -4
Therefore, 2(3x - (-4)) = 6x + 8
Answer:
Step-by-step explanation:
2(3x-(-4))=6x+8
2*3x=6x
2*-(-4)=8
Negative times negative makes positive 4
Alan deposited $300 in an account that pays 6% interest compounded continuously. Approximately how long will it take for Alan’s money to triple?
(Use formula A=Pe^rt where A is the accumulation amount, P is the initial amount, r is the annual rate of interest, and t is the elapsed time in years.)
Show your work for credit
9514 1404 393
Answer:
18.3 years
Step-by-step explanation:
You want ...
A/P = 3 = e^(rt) . . . for r = 0.06
Taking the natural log, this gives ...
ln(3) = 0.06t
t = ln(3)/0.06 ≈ 18.31
It will take about 18.3 years for the value to triple.
y= 2x + 7 y= -4x - 5 What is the solution for the system of equations?
Answer:
x = -2, y = 3.
as an ordered pair it is (-2, 3).
Step-by-step explanation:
y= 2x + 7
y= -4x - 5
As both right hand expression are = y we have:
2x + 7 = -4x - 5
6x = -12
x = -2
Substitute for x in equation 1:
y = 2(-2) + 7 = 3.
11. A grocery store sells almonds for $2.30 per pound, tax included. A shopper buys 1.8 pounds of almonds from the store. She uses a coupon to save 10% off the total cost of the almonds. Rounded to the nearest cent, how much does the shopper pay for the almonds? O A $0.41 O B.$3.73 O c.$3.91 O D.$4.55
One computer has a mass of 0.8
kilogram and another has a mass of 800 grams. Compare the
masses of the computers. Use >, <, or = to make a true statement.
Explain.
Answer: 0.8<800
Step-by-step explanation:
Heston Wagons reported in June that 20 out of 500 wagons failed inspection. In July, they reported that 25 out of 625 wagons failed inspection. Which proportion can be used to represent the wagon failures? StartFraction 25 over 20 EndFraction = StartFraction 500 over 625 EndFraction StartFraction 20 over 25 EndFraction = StartFraction 625 over 500 EndFraction StartFraction 20 over 500 EndFraction = StartFraction 625 over 25 EndFraction StartFraction 20 over 500 EndFraction = StartFraction 25 over 625 EndFraction
Answer:
20/500 and 25/625
Step-by-step explanation:
1. 20 of 500 failed, which is 20/500
2. 25 of 625 failed, which is 25/625
Answer:
its d
Step-by-step explanation:
i did the test
One of the major objectives of the 'Reduce, Reuse, Recycle campaign is to reduce the consumption of plastics. In
addition to reducing their volume in landfills and as a source of marine pollution, what is another major advantage
reduced manufacturing of plastics?
A)
reducing the use of petroleum
reducing the consumption of water
C)
generating more demand for glass containers
D)
more income for producers of reusable containers
the answer is the letter A
NEED HELP ON THIS ASAP!!
Answer :
The answer is A.
Answer:
A) 140
Step-by-step explanation:
since angle RA is 40
and angle one seems the same so
<1+<2=140
40+<2=180
-40 -40
<2=140