Answer:
Solutions: x = 7, y = 9; or (7, 9)
Step-by-step explanation:
Given the following systems of linear equations:
7x - 8y = -23
7x - 7y = -14
Since the coefficients of x in the given system have the same sign, we could use the process of elimination by subtracting the two equations.
7x - 8y = -23
- 7x - 7y = -14
-y = -9
Divide both sides by -1 to solve for y:
[tex]\frac{-y}{-1} = \frac{-9}{-1}[/tex]
y = 9
Substitute the value of y into either one of the given equations to solve for x:
7x - 7y = -14
7x - 7(9) = -14
7x - 63 = -14
Add 63 to both sides:
7x - 63 + 63 = -14 + 63
7x = 49
Divide both sides by 7 to solve for x:
[tex]\frac{7x}{7} = \frac{49}{7}[/tex]
x = 7
Double-check whether x = 7 and y = 9 are valid solutions to the given system:
x = 7, y = 9:
7x - 8y = -237(7) - 8(9) = -23
49 - 72 = -23
-23 = -23 (True statement).
7x - 7y = -147(7) - 7(9) = -14
49 - 63 = -14
-14 = -14 (True statement).
Therefore, the solution to the given systems of linear equations are x = 7, and y = 9, or (7, 9).
Brian says that the expression 8n + 2 is equal to 83 when n=1. Explain why Brian’s answer is incorrect?
Answer:
8n+2 first let’s plug in n which is 1
8(1)+2=10
The answer is 10 but Brian said the expression is equal to 83. He is incorrect because 8 times 1 is 8 and then plus 2 is 10.
I hope it helps.
If a company had a gain of 800$ in March , but in April and May , it had a loss of $400 and 900$ respectively , how mich profit or loss did the company have in three months .
Please answer quickly ,.I will mark you as brainlist ... In Hurry Plz
Answer:
-500
Step-by-step explanation:
i knew the answer
have a great day ;)
You are given right triangle that has a perimeter of 42.56m, a hypotenuse of 21.34m and a base length of 8.76m. Find the area of the right triangle.
Answer:
buuuuuuuuuuut butt
Step-by-step explanation:
A retirement account was opened with a $900 deposit. If the account earns 4.25% interest compounded continuously and has no other deposits or withdrawals, how long will it take the value to double?
It will take 16.66years long for the money to double
The formula for calculating the compound amount is expressed as:
A = P(1+r)^t
A is the amount after t years = 2(900) = $1800P is the amount invested = $900r is the rate in decimal = 4.25% = 0.0425Substitute into the formula to have:
1800 = 900(1+0.0425)^t
2 =(1+0.0425)^t
2 = 1.0425^t
ln2 = tln1.0425
t = ln2/ln1.0425
t = 0.6931/0.0416
t = 16.66years
This shows that it will take 16.66years long for the money to double
Learn more on compound interest here: https://brainly.com/question/18483293
Complete the multiplication: AB.
Answer:
Option: B is the correct
Step-by-step explanation:
Step-by-step explanation:
We are given two matrices A and B as follows:
\begin{gathered}A=\left[\begin{array}{ccc}3&0\\2&-1\end{array}\right]\end{gathered}
A=[
3
2
0
−1
]
and
\begin{gathered}B=\left[\begin{array}{ccc}2&8\\0.6&3\end{array}\right]\end{gathered}
B=[
2
0.6
8
3
]
We know that the multiplication of two matrices of the type:
\begin{gathered}A=\left[\begin{array}{ccc}a&b\\c&d\end{array}\right]\end{gathered}
A=[
a
c
b
d
]
and
\begin{gathered}B=\left[\begin{array}{ccc}a'&b'\\c'&d'\end{array}\right]\end{gathered}
B=[
a
′
c
′
b
′
d
′
]
is given by:
\begin{gathered}AB=\left[\begin{array}{ccc}aa'+bc'&ab'+bd'\\ca'+dc'&cb'+dd'\end{array}\right]\end{gathered}
AB=[
aa
′
+bc
′
ca
′
+dc
′
ab
′
+bd
′
cb
′
+dd
′
]
Hence, here we have:
\begin{gathered}AB=\left[\begin{array}{ccc}3\times 2+0\times 0.6&3\times 8+0\times 3\\2\times 2+(-1)\times 0.6&2\times 8+(-1)\times 3\end{array}\right]\end{gathered}
AB=[
3×2+0×0.6
2×2+(−1)×0.6
3×8+0×3
2×8+(−1)×3
]
i.e.
\begin{gathered}AB=\left[\begin{array}{ccc}6+0&24+0\\4-0.6&16-3\end{array}\right]\end{gathered}
AB=[
6+0
4−0.6
24+0
16−3
]
i.e.
\begin{gathered}AB=\left[\begin{array}{ccc}6&24\\3.4&13\end{array}\right]\end{gathered}
AB=[
6
3.4
24
13
]
How many ways are there to put 5 balls in 2 boxes if the balls are not distinguishable and neither are the boxes
Answer: I was thinking (5,0), (4,1), and (3,2) for a total of 12 ways.
Step-by-step explanation:1
It is 3: the partitions of 5 into ≤2 parts.
PLEASE HELP ME ASAP
NO LINKS
Step-by-step explanation:
1)
x⁴×x^a = x¹²
you know that you can add the exponents when multiplying terms with the same base value/variable ?
because that is what we are doing here to solve it :
x^(4 + a) = x¹²
therefore,
4 + a = 12
a = 8
2)
y^b / y⁵ = y²
similar to 1), but when we divide, we subtract the exponents.
y^(b - 5) = y²
b - 5 = 2
b = 7
3)
3^c = 1/27
27 = 3³
27×3^c = 1
3³×3^c = 1
3^(3 + c) = 1
now we need to remember : x⁰ = 1.
therefore, 3⁰ = 1
3^(3 + c) = 3⁰
3 + c = 0
c = -3
4)
(m³)² = m^d
aha !
now we need to remember, we can multiply the exponents, when we have an exponent of an exponent term.
m^(3×2) = m^d
3×2 = d
6 = d
5)
7⁰ = e
remember, x⁰ = 1, so also 7⁰ = 1.
therefore, e = 1.
6)
4^-2 × 4⁹ × 4^‐5 = 4^f
so, now we need apply what we just learned to a sequence of operations :
each term has the same base value (4), and they are all multiplied, so we can do the described adding of the exponents :
4^(-2 + 9 - 5) = 4^f
therefore,
f = -2 + 9 - 5 = 2
Answer:
just here 4 points
Step-by-step explanation:
Calculate the standard deviations of the plant weights in each group. Is the equal population standard deviation met
Answer: How would i know what im calculating?
Step-by-step explanation:
P = y² + 2z find the value of P if y = 3 and z = -4
Answer:
[tex]P = {y}^{2} + 2z \\ = {3}^{2} + 2( - 4) \\ = 9 - 8 \\ \color{red} \boxed{P =1}[/tex]
Answer:
P = 1
Step-by-step explanation:
P = [tex]y^{2}[/tex] + 2 (-4)
P= [tex]3^{2}[/tex] + -8
P = 9 + -8
P = 1
Hope this helps!
DIRECTIONS:give the formula for each surface area.
pls answer thank you!!
[tex]\boxed{\sf Area_{(Square)}=(side)^2}[/tex]
[tex]\boxed{\sf Area_{(Rectangle)}=Length\times Breadth}[/tex]
[tex]\boxed{\sf Area_{(Rhombus)}=\dfrac{1}{2}\times Diagonals}[/tex]
[tex]\boxed{\sf Area_{(Triangle)}=\dfrac{1}{2}\times Base\times Height}[/tex]
what is a ratio of two different measurements where the 2nd measurement is 1.
Answer:
A "rate" is a ratio involving a comparison of 2 quantities that have different unites of measurement. An example of this can be miles per hour or g/mL
Step-by-step explanation:
A bakery made 25 dozen cookies.They sold 48 of the cookies how many are left?
Answer:
I believe it is 252 correct me if I'm wrong
Answer:
252
Step-by-step explanation:
25 dozen is 300 cookies subtract 48 and get 252
Find the average rate of change between x=2 and x=4 for the function. F(x)=3x^3-1
Answer:
84Step-by-step explanation:
Average rate of change between x = 2 and x = 4 is:
[f(4) - f(2)]/(4 - 2) = (3*4³ - 1 - 3*2³ + 1)/2 = 168/2 = 84[tex]\boxed{\sf Average\: change=\dfrac{f(a)-f(b)}{a-b}}[/tex]
[tex]\\ \sf\longmapsto f(x)=3x^3-1[/tex]
[tex]\\ \sf\longmapsto f(4)=3(4)^3-1=3(64)-1=192-1=191[/tex]
[tex]\\ \sf\longmapsto f(2)=3(2)^3-1=3(8)-1=24-1=23[/tex]
Average change
[tex]\\ \sf\longmapsto \dfrac{192-23}{4-2}[/tex]
[tex]\\ \sf\longmapsto \dfrac{168}{2}[/tex]
[tex]\\ \sf\longmapsto 84[/tex]
A radar gun measured the speed of a baseball at 92 miles per hour.
If the baseball was actually going 90.3 miles per hour, what was the percent error in this measurement?
Answer:
subtract the actual measurement from the initial measurement
ie. 92-90.3 =1.7 %
You can calculate the error and then measure how much percent of the real value, the error came.
The percent error in the considered measurement is of approx 1.88%
How to calculate the percent error?Suppose the actual value and the estimated values after the measurement are obtained. Then we have:
Error = Actual value - Estimated value
To calculate percent error, we will measure how much percent of actual value, the error is, in the estimated value.
[tex]\text{Percent error} = |\dfrac{Error}{\text{Actual value}}| \times 100 = |\dfrac{\text{(Actual value - Estimated value)} }{\text{Actual value}}| \times 100[/tex]
Sine in the given condition, we have:
Actual measurement = 90.3 miles per hourEstimated measurement = 92 miles per hourThus, we have
Error = 90.3 - 92 = -1.7 miles per hour
Thus, the percent error is calculated as:
[tex]\text{Percent error} = |\dfrac{-1.7 }{90.3}|\times 100 = \dfrac{1.7 \times 100}{90.3} = \dfrac{170}{90.3} \approx 1.88\%[/tex]
Thus,
The percent error in the considered measurement is of approx 1.88%
Learn more about percent error here:
https://brainly.com/question/3105259
Please help 10 points for one question
Please don’t answer if you don’t know
Answer:
Yes.
Step-by-step explanation:
They are similar by the AA (Angle-Angle) Similarity Theorem.
Angle P is congruent to Angle P,
and another angle congruency is <Q and <S OR <R and <T by the
Corresponding
Angle Congruency Theorem.
With two pairs of congruent angles, we can say that Triangle PQR and Triangle PST are similar by the AA Similarity Theorem.
6.
3. Use the clues to determine
the number
I have 36 hundreds, 34 tens, and
7 ones. What number am I?
The number is 3947
It should be noted that 36 hundreds will be equal to:
= 36 × 100
= 3600
It should be noted that 34 tens will be:
= 34 × 10
= 340
7 ones will be:
= 7 × 1
= 7.
Therefore, the sum will be:
= 3600 + 340 + 7 = 3947
Answer:
3947
Step-by-step explanation:
How to find the limit of a function.
Answer:
In mathematics, the limit of a function is a fundamental concept in calculus and analysis concerning the behavior of that function near a particular input. Formal definitions, first devised in the early 19th century, are given below. Informally, a function f assigns an output f(x) to every input x.
Step-by-step explanation:
please help with this
Answer:
Step-by-step explanation:
The perimeter of a circle is 2πr
r here is 7 so the perimeter of the full circle is 14π which is 43.9822972
But you only have half a circle, so 43.9822972 / 2 = 21.991148.
But now you have to add the 14 cm to it to close the half circle, so 21.991148 + 14 = 35.991148 or 36 cm
Brainests anser fast pls
The student used the diameter in the calculation instead of the radius. The correct volume is 1155.5.
Would appreciate the brainly <3
One year, the population of a city was 51,000. Several years later it was 61,200. Find
the percent increase
What is the percent increase
Answer:
20%
Step-by-step explanation:
(61200-51000)/51000×100
(102000/51000)×100
0.2×100=20%
Hope that helped! :)
write down three integers below 25 with the range of 10 and the mean of 13
Answer:
8, 13, 18
Step-by-step explanation:
Middle number is 13, there are only 3
Max is 10/2 more so 18
Min is 18-10
The graph below represents the path of a squirrel traveling up and down a tree over time.
The position of the squirrel can be calculated using the function p (t) = at? + b + c.
What is the value of a?
What is the value of b?
What is the value of c?
Answer:
a= -1
b= 7
c= 0
Step-by-step explanation:
equation is
y=h(x)(x-7)
let x be 5 and y be 10 to solve for a
10=h(5)(5-7)
10=h(-10)
h=-1
now equation is
y= -x²+7x
so a=-1
b=7
c=0
The value of a is -1, the value of b is 7 and the value of c will be equal to zero.
What is an expression?Mathematical actions are called expressions if they have at least two terms that are related by an operator and include either numbers, variables, or both.
Adding, subtraction, multiplying, and division are all reflection coefficient operations. A mathematical operation such as reduction, addition, multiplication, or division is used to integrate terms into an expression.
As per the data provided in the question,
y = h(x) × (x-7)
let x be 5 and y be 10 to solve for a
10=h(5) × (5-7)
10 = h(-10)
h = -1
now equation is
y = -x²+7x
So,
a = -1
b = 7
c = 0
To know more about expression:
https://brainly.com/question/14083225
#SPJ2
Paul needs to score higher than 174 to win his bowling tournament. He currently has a score of 42. Which of the following shows how many more points, p, that Paul needs to get to score higher than 174?
Answer:
He needs 132
Step-by-step explanation:
hope it helps
Help me out with this problem plz
100 POINTS IF U GET DIS RIGHT!
Answer:
[tex]- \frac{3}{5}[/tex]
Step-by-step explanation:
slope-intercept form: y = mx + b
y = (x , y)
m = slope = [tex]-\frac{3}{5}[/tex]
x = (x , y)
b = y-intercept = [tex]- \frac{7}{9}[/tex]
With this given information, your slope will be [tex]-\frac{3}{5}[/tex]
Answer:
-3/5
Step-by-step explanation:
The answer is -3/5 I think
y=[3/2] x+3.
Pls help me .
Its a graph sum
Answer:
I'm not sure what the question is. Graph?
Step-by-step explanation:
See graph.
Answer:
352
what r u do
789
why nt coming
why r u nt talking
2. At a rate of 50 mph, a car travels a distance
of 600 miles. How far will the car travel at
a rate of 40 mph if it is driven the same
amount of time?
Answer: 480 miles
Step-by-step explanation:
first you divide 600 by 50 and thats the amount of hours.
600 / 50 = 12
then multiply 40 x 12 and you got your answer. :)
40 x 12 = 480 therefore your answer is 480
Please answer<3
-2w - 5w =
Answer:
the answer is -7w
Step-by-step explanation:
-2w - 5w = -7
are my answers correct?
Answer:
Partially. Your answer to a is correct but you used the wrong number for b.
Step-by-step explanation:
The amount of money you earn (profit) is taken after all of your expenses. You correctly calculated that Leo made $5000 in profit. Divide that by 40 instead of $12850. (answer: $125/hour)
Can someone please help me with this.
Answer:
2
Step-by-step explanation:
When the input is -1 ( the x value is -1) what is the the output ( what is the value of y)
Using the graph, we got to x =-1 and go up and find y =2
When the input is -1 the output is 2
Answer:
X: input
Y: output
so if we input -1 we look at the graph to see the y value
2
Hope This Helps!!!