Answer:
Point Form:
(
8
3
,
−
5
3
)
Equation Form:
x
=
8
3
,
y
=
−
5
3
Answer:
x=4, y=-3, or (4,-3)
Step-by-step explanation:
Hi there!
We are given the following system of equations:
-2x+y=-11
4x+4y=4
And the problem wants us to solve it by substitution
In substitution, we will solve one of the equations for one of the variables to equal an expression containing the other variable, then substitute that expression as the variable it equals into the other equation, solve that equation, then use the value of the solved variable to solve for the first equation we made (the one that is a variable equaling an expression containing the other variable)
It's easier to do this when one of the variables already has a coefficient of 1, as we can just move a couple of terms around without having to multiply or divide anything; for example, in the first equation, -2x+y=-11, y already has a coefficient of 1
So we can just add 2x to both sides, in order to solve the equation for y
-2x+y=-11
+2x +2x
______________
y=2x-11
Now substitute this expression into the the second equation as y.
So, 4x+4y=4 would become 4x+4(2x-11)=4
Now we need to solve 4x+4(2x-11)=4
Do the distributive property:
4x+8x-44=4
Combine like terms
12x-44=4
Add 44 to both sides
12x=48
x=4
We found the value of x
Now we need to find the value of y
Substitute 4 as x in y=2x-11
y=2(4)-11
Multiply
y=8-11
subtract
y=-3
The answer is x=4, y=-3, or as a point, (4, -3)
Hope this helps!
See more on solving systems by substitution here:
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Ricky is taking out a personal loan for $12,000 to remodel his kitchen. He would like the lowest monthly payment possible, even if it means a bigger finance charge in the end. His bank has offered him a loan at 13% interest for 36 months or 12% interest for 60 months, both of which are compounded monthly. Which of the following statements most accurately describes what Ricky should be thinking?
a.
More payments with the 60 month loan will give him the lowest monthly payment.
b.
Fewer payments with the 36 month loan will give him the lowest monthly payment.
c.
The 60 month loan comes with a bigger finance charge and, thus, a bigger monthly payment.
d.
The 36 month loan comes with a bigger finance charge and, thus, a bigger monthly payment.
Please select the best answer from the choices provided
A
B
C
D
Answer:
the correct answer is: a. More payments with the 60 month loan will give him the lowest monthly payment.
Step-by-step explanation:
Hope this help :) LMK
Fewer payments with the 36 monthly loan will give him the lowest monthly payment.
Option B is the correct answer.
What is compound interest?It is the interest we earned on the interest.
The formula for the amount earned with compound interest after n years is given as:
A = P (1 + r/n)^{nt}
P = principal
R = rate
t = time in years
n = number of times compounded in a year.
We have,
Ricky should choose the 36-month loan at 13% interest, which has a higher interest rate but a shorter repayment period.
This means that he will have fewer payments to make, which will result in a lower monthly payment.
The 60-month loan may have a lower interest rate, but the longer repayment period will result in a larger finance charge and a higher monthly payment.
Thus,
Fewer payments with the 36 monthly loan will give him the lowest monthly payment.
Learn more about compound interest here:
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Evaluate the following expression
53 =
Hey there!
Assuming you meant:
5^3
IF SO, LETS SOLVE FOR IT!
5^3
= 5 * 5 * 5
= 25 * 5
= 25 + 25 + 25 + 25 + 25
= 50 + 50 + 25
= 100 + 25
= 125
Therefore, your answer is mostly likely:
125
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
Help me pls
1. In a two-digit number, the sun of the two digits is 10. If the two digits are reversed, the original number is less than the new number by 36. Find the original number.
2. In a two-digit number, twice the tens digit is less than the units digit by 3. If the two digits are reversed, the new number is greater than twice the original number by 18. Find the original number
1) The pairs of numbers are:
19 and 91, which do not satisfy the condition
28 and 82, which do not satisfy the condition
37 and 73, which satisfy the condition
45 and 54, which do not satisfy the condition
The number is 37.
Another method:
10x+y+36 = 10y+x, or
9x+36 = 9y, or
x+4= y …(1)
x+y = 10, or
y = 10-x …(2)
Equate (1) and (2)
x+4 = 10-x
2x = 10–4 = 6, or x = 3 so y = 10–3 = 7.
So the number is 37
( Sorry I can answer number 1 i'm in a rush and I don't really use my brain it's useful but also not. I hope someone answer your question number 2 'ᴗ' Good luck! I also hope my answer is useful. )
A robot can complete 7 tasks in
2
3 hour. Each task takes the same amount of time.
a. How long does it take the robot to complete one task?
b. How many tasks can the robot complete in one hour?
the answer is fourteen (14)
Students can choose water, milk, or juice for lunch. The graph shows student drink choices from yesterday's lunch. What is the experimental probability that a student will choose juice for lunch?
a. 20%
b. 13%
c. 70%
d. 60%
Answer:
for me its b.
Step-by-step explanation:
because its up to 5% to 12%
please help ASAPPPP SOMEONE :(
Answer:
rip
Step-by-step explanation:
please please please help
Answer:
32
4 cups
Step-by-step explanation:
Answer:
ratio
Step-by-step explanation:
0 to 100
i dont know the second one srry
Find the area of the shaded region
Answer:
The shaded area is 35
Step-by-step explanation:
Big rectangle area: 7 * 10 = 70
Small rectangle area: 5 * 7 = 35
Difference: 35
I need help!!!!!!!!!
Answer:
Greatest- 2 × 4/9
Then- 1 2/3 × 4/9
Then- 7/7 × 4/9
Lest- 3/4 × 4/9
Step-by-step explanation:
The right hand fraction you are timing by is the same whilst on the left they grow so you order them and dont focus on the times aspect of the question
Help guysss does anyone know the answer to this ?
Answer:
Step-by-step explanation:
1) Amir’s mistakes:
On the second layer, he hadn’t substrated k from 3k => 3+5+9p is wrong;
On the last layer, he added 8 with 9p which is incorrect,he can’t get 17p by adding them.
2)3k+5-k+9p
3k-k+5+9p
2k+5+9p
Find Theta in degrees. WILL MARK BRAINLIEST I PROMISE<3333
Answer:
[tex]sin \alpha = \frac{opposite}{hypotenuse} \\ sin \alpha = \frac{8}{17} \\ sin \alpha = 0.470588235294117 \\ \alpha = {sin}^{ - 1} (0.470588235294117) \\ \alpha = 28.07 \: degrees[/tex]
Could i get some help here please?
Answer:
22+4x=90
x=17
Step-by-step explanation:
From the picture, we can see that the two angles form a right angle.
The equation will be 22+4x=90
Then use that equation to solve for x.
4x=68
x=17
Question shown below within image.
Answer:
m∠x = 119°
m∠y = 61°
m∠z = 119°
Step-by-step explanation:
Angle x:
m∠x = 180° - 61° (sum of angles in a straight line)m∠x = 119°Angle y:
m∠y = 61° (Alternate interior angles)
Angle z:
m∠z = 119° (Sum of angles in a line, corresponding angles)
-Chetan K
Over which interval is the graph of the parent absolute value function decreasing?.
The graph of the parent absolute value function decreases over (–∞, 0) interval.
What is the parent absolute value function?An absolute value function is a function that contains an algebraic expression within absolute value symbols.
Recall that the absolute value of a number is its distance from 0 on the number line.
The absolute value function is f(x) = |x| is defined as,
[tex]\rm f(x)= x \ if\ x > 0\\\\f(x)= 0 \ if\ x=0\\\\ f(x)=- x \ if\ x < 0\\[/tex]
Observe that the graph is V-shaped.
The vertex of the graph is (0,0).The axis of symmetry (x =0 or y-axis) is the line that divides the graph into two congruent halves.The domain is the set of all real numbers.The range is the set of all real numbers greater than or equal to 0. That is y ≥0.The x-intercept and the y-intercept are both 0.Hence, the graph of the parent absolute value function decreases over (–∞, 0) interval.
To know more about the Absolute function click the link given below.
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Create an equation using the table of values below.
Answer:
1. y = 2x - 1
Step-by-step explanation:
See attached image.
Match the terms to their definition.
1. a mathematical expression containing one or more variables
substitution
2. to find the numerical value of
evaluate
3. replacing its quantity with its equal
algebraic expression
4. a letter or symbol used to represent an unknown
variable
3. constant - D. a numerical value
2. coefficient - A. the constant preceding the variables in a product
4. expression -E. a mathematical phrase....
5. variable - B. a letter... representing an unkown
1. algebraic expression - C. a mathematical expression...
(5x2 + 23x - 7) - (x2 - 4x + 21) is equivalent to expression
4x² - 27x - 28 is the answer
Step-by-step explanation:
As per question,
(5x² + 23x - 7) - (x² - 4x + 21)
Removing the parentheses,
→ 5x² + 23x - 7 - x² + 4x - 21)
Now reorder and gather the like terms,
→ (5x² - x²) + (23x + 4x) + ( -7-21 )
Collecting the coefficients of like terms,
→ (5-1)x² - (23+4)x + ( -7-21 )
Calculating them now, we get,
→ 4x² - 27x - 28
So, (5x² + 23x - 7) - (x² - 4x + 21) = 4x² - 27x - 28
PLEASE HELP: find the minimum and maximum values for the function with the given domain interval
Answer:
I think that it's the third one.
Step-by-step explanation:
Answer:
minimum value = 0.001
maximum value = 10
Step-by-step explanation:
To find the minimum and maximum values for the function, substitute the endpoints of the domain into the function:
when x = -3:
[tex]\implies k(-3)=10^{-3}=0.001[/tex]
when x = 1:
[tex]\implies k(1)=10^{1}=10[/tex]
Therefore,
minimum value = 0.001
maximum value = 10
I am learning ratio and proportion
Answer:
Unit Quantity is the answer
Pls help (giving brainliest to first answer)
Answer:
(0, -7) and (5, 0)
Step-by-step explanation:
y-intercept is when x = 0, therefore (0, -7)
x-intercept is when y = 0, therefore (5, 0)
Answer:
X intercept: (5,0) Y intercept: (0,-7)
Step-by-step explanation:
So you want to look at where you have an x value (input) and it's output (y) is 0 for x intercept, and you want to look at the y value (output) and it's input (x) to be 0 for the y intercept, so on the left we see that 5 = 0, and on the right we see that -7 = 0, and then write them as is, so (5,0) and (0,-7)
Hope that made sense and this helps!
helpppppp pleaseeeeeee
………….. need help filling out
Answer:
dilation is size
Step-by-step explanation:
Celia has some cakes.
2/3
of the cakes are chocolate cake and
6/7
of the remaining cakes are cheesecakes. The rest of the cakes are carrot cakes.
What fraction of the cakes are carrot cakes?
Leave your answer as a fraction in the simplest form.
The carrot cakes are the fraction of the cake given by [tex]1 - \frac{6}{7}[/tex] multiplied by [tex]\frac{1}{3}[/tex]
The fraction of the cakes that are carrot cakes is [tex]\underline {\dfrac{1}{21}}[/tex]How are the cakes evaluated as fractions?The fraction of the cake that are chocolate cake = [tex]\dfrac{2}{3}[/tex]
The fraction of the remaining cake that cheesecakes = [tex]\dfrac{6}{7}[/tex]
The rest of the cakes = carrot cakes
Required:
The fraction of the cake that are carrot cakes
Solution:
The fraction of the cakes that are not chocolate cake = [tex]1 - \dfrac{2}{3} = \mathbf{ \dfrac{1}{3}}[/tex]
The fraction of the remaining cakes that are cheesecake = [tex]\dfrac{6}{7} \times \dfrac{1}{3} = \mathbf{ \dfrac{6}{21}}[/tex]
The fraction of the cake that are carrot cake = [tex]\dfrac{1}{3} - \dfrac{6}{7} \times \dfrac{1}{3} = \mathbf{\dfrac{1}{21}}[/tex]
The fraction of the cakes that are carrot cake is [tex]\underline{\dfrac{1}{21}}[/tex]Learn more about fractions here:
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PLEASE HELP ASAP DUE TODAY PLEASE 15 POINTS
A. - incorrect, we can see that Jack need add 1 more layer on picture
B. - correct. 8×2=16
C. - correct. cube's side is 1 centimeter, 1×8=8
D. - incorrect, we can see that box is 2 centimeters high
E. - correct
[tex]\text{volume}=\text{1st side}\times\text{2nd side}\times \text{height}\\\text{1st side}=2\\\text{2st side}=8\\\text{height}=2\\\text{volume}=2\times2\times8=32 cm^3[/tex]
F - incorrect, i counted volume in E
Answer: BCE
Sorry if i have mistakes in text, i'm from russia tho
A metal statue weighs 9.25 pounds 90% of the statue is made of silver how many pounds of silver are in the statue
Answer:
8.325 pounds
Step-by-step explanation:
Step 1: Multiply 90 by 0.0925.
[tex]90*0.0925[/tex] [tex]8.325[/tex] 8.325 lbTherefore, 8.325 pounds of silver are in the statue.
what is the 43rd term for 260,255,250
Answer:
43rd term = 50
Step-by-step explanation:
[tex]43rd \: term = 50[/tex]
The required 43rd term will be 50 in the given arithmetic sequence.
What is an arithmetic sequence?An arithmetic sequence is defined as an arrangement of numbers that is in a particular order.
The arithmetic sequence is given in the question as:
260, 255, 250...
This above sequence has:
The first number a₁ = 260
Common difference d = 255 - 260 = -5
The formula to find the general term of an arithmetic sequence is,
Tₙ = a₁ + (n-1)d ...(i)
Substitute the value of d = -5 and a₁ = 260 in the above formula
43rd term = 260 + (43-1)(-5)
43rd term = 260 - 42(5)
43rd term = 260 - 210
43rd term = 50
Therefore, the required 43rd term will be 50.
Learn more about arithmetic sequence here:
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Business A charter bus service charges a $125 transportation fee plus
$8.50 per passenger. This is represented by the function c = 8.5p + 125,
where c is the total cost based on p passengers. What is the total cost of
transportation for the following numbers of passengers: 50, 100, 150, 200,
and 250?
Life Science Tyrannosaurus rer was one of the largest
non
Answer:
550, 975, 1400, 1825, and 2250
Step-by-step explanation:
Complete the table to determine the cost assigned to ending inventory and cost of goods sold using specific identification
The ending inventory that van be gotten from the table will be $9905 and the cost of goods sold is $5083.
What is ending inventory?It should be noted that the ending inventory simply means the goods that are still available for sale at the end of an accounting period.
From the complete question, the ending inventory will be:
= $3190 + $2295 + $4420
= $9905
Also, the cost of goods sold will be:
= $2465 + $473 + $2145
= $5083
Learn more about inventory on:
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Directions: Solve the following inequalities. Be sure to follow the rules for operations with signed numbers.
1. -4x + 2 > 0
2. +5x > x + 4
3. 3x + 4 < 10
4. -10x + 5 -4 > 4x + 3
5. 6x + 3 < 7x - 10
6. 2x - 4 < 8x + 2
7. -3s + 3 > 3
8. 4s + 2s > 6
9. 6t < 12
10. 11x < 121
11. 3x > 36
12. 25x < 500
13. 16r < 8 (10)
14. 6s > 216
15. 8x < 64
How do i solve this???