Find the values of a and b so that the linear system has the given solution.
Given Solution: (2, 1)
Equation 1: ax - by'= 4
Equation 2: bx - ay = 10
Answer:
a = 6, b = 8
Step-by-step explanation:
given (2,1)
2a - 1b = 4
-1a + 2b = 10
this gives us:
a + b = 14
solve for a
a = 14 - b
plug into first equations
2(14-b) - b = 4
28 - 2b - b = 4
28 - 3b = 4
24 = 3b
b = 8
now plug b back into your equation for a, and you get:
a = 14 - 8
a = 6
Identify the angles of rotational symmetry for the figure.
+
Rotational symmetry
Answer:
144
Step-by-step explanation:
Answer:
90 180 270
Step-by-step explanation:
PLEASE HELP ME I AM BEING TIMED I WILL GIVE YOU BRAINILIEST!!!!!!
On a road trip a family drives 350 miles per day how many days D must they travel to reach the distance of at least 1400. Solve the inequality what does the solution represent in this situation?
(Just in case you wanted to see the question I put a picture)
Answer:
The family will travel at least 4 days.
Step-by-step explanation:
The inequality would look like this:
350d ≤ 1400
it's ≤ because the problem said that they had to travel AT LEAST a distance of 1400.
To solve the inequality, use inverse operations.
350d ÷ 350 ≤ 1400 ÷ 350
d ≤ 4
the family will travel at least 4 days.
I hope this helped and if it did I would appreciate it if you marked me Brainliest. Thank you and have a nice day!
sam was charged $1050 in interest on a loan with a 2.5% interest rate. what was the original amount of the loan if he took 5 years to pay it back?
Answer:
$8,400=amount of loan
Step-by-step explanation:
Key:
P=Money borrowed
T=5 years (time passed)
R=0.025 (interest rate)
I=$1050 (interest charged)
Formula: I=P*R*T
Work:
1,050=P*0.025*5
1,050=P*0.125
1,050/0.125=8,400
Check
8,400*0.025*5=1,050
(thank you 7th grade math last year haha)
what is 1% of 73023.60
Answer:
730.236
the answer
The equation 22j + 8s = 150 is used to determine the number of jeans j and the number of shirts s that can be bought for $150. You purchase 5 pairs of
jeans. Select all the steps that may be used when solving for the number of shirts purchased
A Add 22 to both sides.
B. Subtract 22; from both sides.
C. Substitute 5 for j in the equation
D. Multiply both sides by 8
E Divide both sides by 8.
Answer:
C. Substitute 5 for j in the equation
Step-by-step explanation:
22(5)+8s =150
110+8s=150
8s = 40
s=5
or
110+8s=150
HELP PLZ
find the value of x
Answer:
x=8
Step-by-step explanation:
please help me urgent!!
[tex] \sf \longmapsto S_{ 20} = \dfrac{n}{2} \times 2a + (n - 1)d \\ \\ \sf\longmapsto S_{20}= \dfrac{20}{2} \times 2(2) + (20 - 1)6 \\ \\ \sf\longmapsto S_{20} = 10 \{ 4 + 114 \} \\ \\ \sf \longmapsto \boxed{\bf{S_{20} = 1180}}[/tex]
Hope it helps :)
How do you convert a rational exponent into a radical? Use proper terminology (numerator, denominator, index, radicand, power).
Answer: 1. Well, for one they both have a 'radicand' and you can arrange both of them in a fraction form.
2. Graph is increasing, there's an asymptotic value, the domain is all real numbers, the range is y > 0. If you add a constant, you are shifting it vertically, which means it's y-intercept will change by the magnitude of the constant.
3. Linear functions are a straight line with one definite slope. Exponential functions are basically curves with their slopes, not constantly, but changing. As you increase your x-values, the linear functions lacks behind, and the exponential one becomes very large.
4. I really don't know how to explain this, it's kind of confusing.
5. You can use the slope formula: (y2-y1)/(x2-x1). Plug in values, you get:
(12-8)/(4-2). This can be simplified to 4/2 or just 2. That's his average rate of change: 2 balls per day.
6. An arithmetic sequence adds on a specific value every time. For example: {1, 3, 5, 7...}
A Geometric sequence increases every time by a common ratio. For example: {2, 6, 18, 54...}
6. If it's relative to time, then you have a parametric equation dealing with time. Just like that, you can see that 1 variable changes with respect to the other, and that implies parametricity.
Step-by-step explanation:
9514 1404 393
Answer:
[tex]x^{a/b}=\sqrt[b]{x^a}=(\sqrt[b]{x})^a[/tex]
Step-by-step explanation:
The denominator of the fractional exponent becomes the index of the root. The exponent numerator is left as the power of the base. The exponent can be inside or outside the radical.
[tex]x^{a/b}=\sqrt[b]{x^a}=(\sqrt[b]{x})^a[/tex]
Ethan sold 2/3 gallon of lemonade. Kayla sold some lemonade too. Together, they sold
1/4 gallons. Who sold more lemonade, Ethan or Kayla? How much more?
Answer:
Ethan sold more
Step-by-step explanation:
2/3 and 1/4
Simplify to 8/12 and 4/12
8/12 is more
The campus bookstore knows from the past several semesters that a certain elementary statistics book has a demand that is approximated by a normal distribution with a mean of 250 and a standard deviation of 40. They buy these books for $105 each and sell them to unsuspecting undergraduates at $222 each. All demand for this book is realized by the middle of the semester, at which point the bookstore bundles them up and sells them to a vendor in another country for $40 each. What is the probability of sale for the last book that the bookstore should purchase for sale to a student
Answer:
0.357
Step-by-step explanation:
The computation of the probability of sale for the last book that the bookstore should purchase for sale to a student is shown below
Probability is
= 1 - ((Cs ) ÷ (Cs + co))
= 1 - (($225 - $105) ÷ ($117 + ($105 - $40)))
= 1 - 0.6428
= 0.357
Here Cs represent the notional loss in the case when the demand is underestimated
And Co represent the notional loss in the case when the demand is overestimated
1. Using the numbers 1-20, and only using a number once, fill in the blanks. There may be multiple correct answers
a) (x +
D(x+
b) (x + (x +
2. Using the numbers 1-40, and only using a number once, fill in the blanks. There may be multiple correct answers
a) (x+2)CL_X+5) =
b) CX+ 2XL X+5) =
Grocery store sells tangerines in 2/5 kg bags. A customer bought 4kg of tangerines for a school party. How many bags did he buy
In order to have 4 kg, he must have 20/5 kg. Each bag is 2/5 kg, so 2/5 times 10 is 20/5 or 4kg. Therefore, he bought 10 bags of tangerines for the school party.
23 x 3 =
57 + 12 =
47 + 22 =
kingston made a pot of 29 1/2c of gumbo soup. His family ate some of the gumbo for lunch. this changed the amount of the pot by -7 3/4c. then he gave some gumbo to his neighbors. This changed the amount in the pot by -6 1/2c. How many cups of gumbo are left in the pot?
please answer quickly!!!!!!!
Answer:
29 1/2-7 3/4 is 21.75
Then 21.75-1/2 is 21.25
Step-by-step explanation:
There is [tex]15\frac{1}{4}[/tex]c of gumbo soup left after Kingston's family ate and he shared some with his neighbor.
What is a fraction?A fraction is written in the form of p/q, where q ≠ 0.
Fractions are of two types they are proper fractions in which the numerator is smaller than the denominator and improper fractions where the numerator is greater than the denominator.
Given, Kingston made a pot of [tex]29\frac{1}{2}[/tex] of gumbo soup.
His family ate some of the gumbo for lunch. this changed the amount of the pot by [tex]-7\frac{3}{4}[/tex].
So, Reaming gumbo soup is ([tex]29\frac{1}{2} - 7\frac{3}{4}[/tex]).
= (59/2 - 31/4).
= (118 - 31)/4.
= 87/4c of gumbo soup.
Then he gave some gumbo to his neighbors. This changed the amount in the pot by -6 1/2c.
= (87/4 - 13/2)c.
= (87 - 26)/4c.
= 61/4.
= [tex]15\frac{1}{4}[/tex]c of gumbo soup.
learn more about fractions here :
https://brainly.com/question/10354322
#SPJ2
If s varies directly as t2, and s = 294 when t = 7, find s when t is 9
Answer:
If you need to find s when t is 9, its simple.
Step-by-step explanation:
All ypu need to do is see what t is
t equals 2
you want to find what s is when t is 9
when t is 2, s is 294
when t is 9, all you have to do is find what times 2 equals 9, then times that number by 294
ILL GIVE BRAINLIEST IF CORRECT!! Stacey is standing in a field. She walks 11 meters west, 30 meters north, 4 meters west and finally 22 meters south. How many meters is she from her starting point?
Answer:
21 meters
Step-by-step explanation:
Answer:
17
Step-by-step explanation:
Which statement is correct?
Α. ΔΑGT = ΔQΜΕ
Β. ΔTAG = ΔΕΜW
C. ΔGTA = ΔQΜΕ
D. ΔΑGT = ΔΜΕΟ
Answer:
C
Step-by-step explanation:
We already know the triangles are congruent because all of the sides of one triangle correspond directly with another. Then, this is a problem of correct labling. GTA goes from point G (top) to T (bottom) to A (left). If we rotate the triangle MEQ, it is laid out in the same way: point Q (top) to point M (bottom) to point E (left or right).
Our correct answer is GTA = QME
The linear regression equation for a data set is y=1.6x-4.1. If the actual value at x=3 is 0.9,
what is the residual value at x=3?
Answer:
0.2
Step-by-step explanation:
Given the regression model :
y = 1.6x - 4.1
At x = 3
Predicted value = 1.6(3) - 4.1 = 0.7
If actual value at x = 3 is 0.9
The residual value at x = 3 ;
Residual value is the difference between the actual and predicted value :
Actual at x = 3 minus predicted at x = 3
Hence, Residual = 0.9 - 0.7 = 0.2
Residual is the difference between the predicted value and the actual value of the response variable
The residual at x = 3 is 0.2
The linear regression is given as:
[tex]y = 1.6x - 4.1[/tex]
The predicted value at x = 3 is calculated by substituting 3 for x in the linear regression
So, we have:
[tex]y = 1.6 \times 3 - 4.1[/tex]
[tex]y = 4.8 - 4.1[/tex]
[tex]y = 0.7[/tex]
The actual value is given as 0.9.
So, the residual is calculated using:
[tex]Residual =Actual - Predicted[/tex]
This gives
[tex]Residual =0.9 - 0.7[/tex]
[tex]Residual =0.2[/tex]
Hence, the residual at x = 3 is 0.2
Read more about residuals at:
https://brainly.com/question/9315325
ARIHANNAL
Session 2: Calculator
Question 22
X+Y
Line
Guide
Jason took out an $800 loan from his bank two years ago. He recently paid $860 back to the bank. This included the original loan amount
and the simple interest charged to him.
What was the annual interest rate of Jason's loan?
a 3%
D 3.75%
7.5%
15%
Answer:
I think its 3 or 3.75 you can check
Step-by-step explanation:
Mrs. Cameron's famous peanut butter cookies call for 1 cup of peanut butter for every 1 2 of a cup of oil. Today, she wants to make a huge batch with 1 cup of oil. How much peanut butter should she use?
The dot plot show the heights of the players on two basketball teams
Answer:
Okay and? im confused there is no dot plot or question here...
Step-by-step explanation:
Answer:
H. Team B has a greater range in player heights than Team A has.
Step-by-step explanation:
just did the quiz
4х + 3y = 12
х = 5y - 20
Solve the system by substitution
Answer:
y=4 and x=0
Step-by-step explanation:
4(5y-20)+3y=12
20y-80+3y=12
23y-80=12
23y=92
y=4
Substitute y as 4 to get x.
Answer:
y=4
x=0
Step-by-step explanation:
4x + 3y = 12
X - 5y =-20
Multiply second equation by 4
4x + 3y = 12
4x - 20y = - 80
Subtract
23y = 92
y = 92/23
y =4
Put the value in first equation
4x + 12 =12
So 4x = 0
Therefore x= 0
I need help?...........
Answer:
J. 2(×-3)=22...........
Answer:
J. 2( x - 3 ) = 22
Step-by-step explanation:
All you need to do, is substitute the x with 14
2 ( x - 3 ) = 22
2 ( 14 - 3 ) = 22
use PEMDAS
2 * 14 - 2* 3 = 22
28 - 6 = 22
22 = 22
So this problem is the correct one
Hope this helped!
P.S Do you want me to show you the work for the others so you can see how I know there wrong?
Luis buys 6 pizza's for $36.90 at the Italian restaurant, how much does 1 pizza cost?
Answer:
$6.15 for 1 pizza.
Step-by-step explanation:
The answer is 6.15 because 36.90 divided by 6 is 6.15.
P.S Can I have brainliest?
Last year, the debate club had 16 members. This year, the club has 10 members. What is the percent of change in the number of club members?
Answer:
-60%
Step-by-step explanation:
The formula for percent change is [ x2-x1/x1 ].
10-16/10
-6/10 or -0.6
~Multiply by 100%
-0.6 * 100% = -60%
Best of Luck!
If I had 1 banana then I ate that banana how many of the banana would I have hint the peal First person gets brainliest
1 peal 0 banana
eeeeeeeeeeeeee
Jada traveled 135 miles in 3 hours. Andre traveled 228 miles in 6 hours. Both Jada and Andre traveled at a constant speed.
Answer:
Jada travels faster at a speed of 45mph
Step-by-step explanation:
Jada travels faster at a speed of 45mph
When you divide the overall miles from the time it takes you get the miles per hour.
Jada: 135/3= 45
Andre: 228/6= 38
Jada travels at 45mph as Andre travels at 38mph.
Hope this helps!
Answer:
45
Step-by-step explanation:
Write a linear function for each line that relates to y to x
Answer:
Please check the complete explanation below.
Step-by-step explanation:
We know that the slope-intercept form of the line equation
[tex]y = mx+b[/tex]
where m is the slope and b is the y-intercept
ANALYZING TABLE 1
Part A)
Given table 1
x 0 1 2 3
y 1 3 5 7
From table 1, the y-intercept can be determined by setting x=0 and checking the corresponding y-value.
so at x = 0, y = 1
Thus, the y-intercept is (0, 1).
From the graph, it is clear that the line W has a y-intercept (0, 1).
Therefore, table 1 represents the line W.
Part B)
Taking two points (0, 1) and (1, 3) to find the slope using the formula
m = (y₂-y₁) / (x₂-x₁)
m = 3-1 / 1-0 = 2/1 = 2
now substituting m = 2, and b = 1 in the slope-intercept form
y = mx+b
y = 2x+1
Thus, table 1 represents the line W with the equation line y = 2x+1
ANALYZING TABLE 2
Part A)
Given table 2
x 0 1 2 3
y 0 3 6 9
From table 2, the y-intercept can be determined by setting x=0 and checking the corresponding y-value.
so at x = 0, y = 0
Thus, the y-intercept (0, 0).
From the graph, it is clear that line F has a y-intercept (0, 0).
Therefore, table 2 represents the line F.
Part B)
Taking two points (0, 0) and (1, 3) to find the slope using the formula
m = (y₂-y₁) / (x₂-x₁)
m = 3-0 / 1-0 = 3/1 = 3
now substituting m = 3, and b = 0 in the slope-intercept form
y = mx+b
y = 3x+0
y = 3x
Thus, table 2 represents the line F with the equation y = 3x
ANALYZING TABLE 3
Part A)
Given table 1
x 0 1 2 3
y 2 3 4 5
From table 3, the y-intercept can be determined by setting x=0 and checking the corresponding y-value.
so at x = 0, y = 0
Thus, the y-intercept (0, 2).
From the graph, it is clear that line N has a y-intercept (0, 2).
Therefore, table 3 represents line N.
Part B)
Taking two points (0, 2) and (1, 3) to find the slope using the formula
m = (y₂-y₁) / (x₂-x₁)
m = 3-2 / 1-0 = 1/1 = 1
now substituting m = 1, and b = 2 in the slope-intercept form
y = mx+b
y = (1)x+2
y = x+2
Thus, table 2 represents the line N with the equation y = x+2
Which statement is true regarding the graphed functions?