Answers
Answer: Choice B
(-2, 5)
==================================================
Explanation:
The original system is
[tex]\begin{cases}-4x+3y = 23\\ x-y = -7\end{cases}[/tex]
Multiply both sides of the second equation by 3. Doing so leads to this updated system of equations
[tex]\begin{cases}-4x+3y = 23\\ 3x-3y = -21\end{cases}[/tex]
Now add straight down
The x terms add to -4x+3x = -1x = -x
The y terms add to 3y+(-3y) = 0y = 0
The terms on the right hand sides add to 23+(-21) = 2
We end up with the equation -x = 2 which solves to x = -2
Now use this to find y. You can pick any equation with x,y in it
----------------
-4x+3y = 23
-4(-2)+3y = 23
8+3y = 23
3y = 23-8
3y = 15
y = 15/3
y = 5
Or
x-y = -7
-2-y = -7
-y = -7+2
y = -5
y = 5
Either way, we get the same y value.
So that's why the solution is (x,y) = (-2, 5)
Related Questions
what's the distance between the points (4,3) and (16,8)
Answers
Answer:
13
Step-by-step explanation:
Use the distance formula to determine the distance between two points.
===========================================
Work Shown:
The two given points are [tex](x_1,y_1) = (4,3)[/tex] and [tex](x_2,y_2) = (16,8)[/tex]
Use the distance formula
[tex]d = \sqrt{(x_1-x_2)^2+(y_1-y_2)^2}\\\\d = \sqrt{(4-16)^2+(3-8)^2}\\\\d = \sqrt{(-12)^2+(-5)^2}\\\\d = \sqrt{144+25}\\\\d = \sqrt{169}\\\\d = 13\\\\[/tex]
What is 33 and 1/3 as a percent?
Answers
Answer:
33 is 33 % of 100 and 1/3 is 33.33 %
Step-by-step explanation:
Hope this helps!!
Answer:
33.3333333333333.........%
Step-by-step explanation:
PLEASE HELP! WILL GIVE BRAINLIEST AND 30 POINTS!
What is the range of possible values for x?
The diagram is not to scale.
Answer in this format: a < b < c
Answers
Which of the following are point-slope equations of the line going through
(-4,-7) and (3, 2)? Check all that apply.
PLEASSSEEE HELP I’VE BEEN STUCK ON THIS FOR A COUPLE OF DAYS .. 15 points
Answers
Answer:
The equations of the line are
y + 7 = [tex]\frac{9}{7}[/tex] (x + 4) ⇒ B
y - 2 = [tex]\frac{9}{7}[/tex] (x - 3) ⇒ E
Step-by-step explanation:
The point-slope form of the linear equation is
[tex]y-y1=m(x-x1)[/tex] , where
m is the slope of the line(x1, y1) is a point on the lineThe rule of the slope is [tex]m=\frac{y2-y1}{x2-x1}[/tex]∵ The line passes through points (-4, -7) and (3, 2)
∴ x1 = -4 and y1 = -7
∴ x2 = 3 and y2 = 2
→ Use the rule of the slope above to find it
∵ [tex]m=\frac{2--7}{3--4}=\frac{2+7}{3+4}=\frac{9}{7}[/tex]
∴ The slope of the line is [tex]\frac{9}{7}[/tex]
→ Substitute the values of m and (x1, y1) in the form of the equation above
∵ y - -7 = [tex]\frac{9}{7}[/tex] (x - -4)
∴ y + 7 = [tex]\frac{9}{7}[/tex] (x + 4)
∴ The equation of the line is y + 7 = [tex]\frac{9}{7}[/tex] (x + 4)
→ Substitute the values of m and (x2, y2) in the form of the equation above
∵ y - 2 = [tex]\frac{9}{7}[/tex] (x - 3)
∴ The equation of the line is y - 2 = [tex]\frac{9}{7}[/tex] (x - 3)
→ Look at the answers to find the same equations
∴ Answers B and E have the same equations
A bakery sells 8 lemon poppy muffins for every 1 bran muffin sold. Which table represents the relationship between lemon poppy and bran muffins?
A
\text{Lemon Poppy}Lemon Poppy \text{Bran}Bran
88 11
1616 99
3232 2525
B
\text{Lemon Poppy}Lemon Poppy \text{Bran}Bran
2424 33
2626 55
2828 77
C
\text{Lemon Poppy}Lemon Poppy \text{Bran}Bran
2424 33
4040 55
5656 77
D
\text{Lemon Poppy}Lemon Poppy \text{Bran}Bran
88 11
2424 44
4040 66
please answer the question im sturggling .
Answers
Answer:
A 1
Step-by-step explanation:
8x11=88
1x11=11
pls help meh
i will give brainlyest
Answers
Answer:
75
Step-by-step explanation:
Use order of operations to solve this.
P - Parenthesis
E - Exponents
M - Multiplication
D - Division
A - Addition
S - Subtraction.
First, do 20 x 4.
[tex]80 - 100 / 20[/tex]
Then, divide 100/20.
[tex]80 - 5[/tex]
= 75
What is the equation of the line that passes through the point (-3, 7) and has a
slope of 1/3?
Answers
Answer:
y=[tex]\frac{1}{3}[/tex]x+8
What value of p makes the equation true?
-3p + 1/8 = -1/4
Answers
Answer:
p = 1/8
Step-by-step explanation:
Hi there !
⁸⁾-3p + 1/8 = ²⁾- 1/4
- 24p + 1 = - 2
- 24p = - 2 - 1
- 24p = - 3 | (-)
24p = 3
p = 3⁽³/24
p = 1/8
Good luck !
x-7(x-2)=10x+9-x
i need the answer asap pls
Answers
Step-by-step explanation:
x−7(x−2)=10x+9−x
Step 1: Simplify both sides of the equation.
x−7(x−2)=10x+9−x
x+(−7)(x)+(−7)(−2)=10x+9+−x(Distribute)
x+−7x+14=10x+9+−x
(x+−7x)+(14)=(10x+−x)+(9)(Combine Like Terms)
−6x+14=9x+9
−6x+14=9x+9
Step 2: Subtract 9x from both sides.
−6x+14−9x=9x+9−9x
−15x+14=9
Step 3: Subtract 14 from both sides.
−15x+14−14=9−14
−15x=−5
Step 4: Divide both sides by -15.
−15x−15=−5−15
x=13
Answer:
x=13
Since i helped so many people, please HELPPPPP NOWWW thnaks
Samuel needs 313 feet of wood to build a fence. The wood comes in lengths of 13 feet.
How many total pieces of wood will Samuel need? Theresa needs twice as many feet of wood as Samuel. How many pieces of wood does Theresa need?
Samuel needs
______pieces of wood.
Theresa needs
_____pieces of wood.
Answers
Answer:
theresa needs 48 pieces and samuel needs 24 pieces
Step-by-step explanation:
the exact answers are 24.07692307692308
48.15384615384615
What is the measure of JKL
Answers
Answer:
Did you insert a picture because I cant see one
WILL MARK BRAINLYEST PLZ HELLP!!!!
show your work
1. Walmart’s stock price started at $70. It went up by $2, then went down $4. What is the final stock
price?
2. A football team gains 5 yards, then loses 2 yards, then gain another 6 yards, then loses 3 yards. What
is their net gain or loss?
3. What is the difference in elevation of Mt. Blum at 7,677 feet above sea level and New Orleans at −7 ft
below sea level?
Answers
Answer:
1. 68
2. Net gain of 6 yards
3. 7684 ft
Step-by-step explanation:
1.
Walmart’s stock price started at $70. It went up by $2, then went down $4
Final stock = [tex]70+2-4=68[/tex]
2.
A football team gains 5 yards, then loses 2 yards, then gain another 6 yards, then loses 3 yards
Here,
[tex]5-2+6-3=6[/tex]
So, net gain of 6 yards
3.
Difference in elevation of Mt. Blum at 7,677 feet above sea level and New Orleans at −7 ft below sea level = [tex]7677-(-7)=7677+7=7684\,\,ft[/tex]
Vivian wants to buy a watermelon. Kingston's Market has 10-
pound watermelons for $3.90, but the Farmer's Market has 12-
pound watermelons for $4.44.
What is the cost per pound for the 10 pound watermelons?
Answers
Answer:
$0.39
Step-by-step explanation:
3.90/10= 0.39 per pound for 10 pound watermelons
Alma was given some money as a gift and deposited it into a savings account. She makes a withdrawal of the same amount at the end of each month. At the end of the 5th month, her balance was $442. At the end of the 13th month, her balance was $226.
Answers
Answer:
the input is the number or gallons aka b
the output is the balance in the account aka c
and the two points described are (5,442) and (13,226) aka c
Step-by-step explanation:
i did it on edge and got it right :)
Answer:
here the answer
Step-by-step explanation:
Sean made $1115 during a 5 day work week. He made
$465 on Monday and the rest was split between the
other 4 days. How much money did he make on each
of the other 4 days?
Answers
Answer:
Step-by-step explanations:
The equation 2x - 4y - 8 models the relationship between x and y. What is the rate of change of y with respect tox?
Answers
Answer:
1/2Step-by-step explanation:
Given the equation 2x-4y = 8 models the relationship between x and y
The rate of change of y with respect to x is known as the slope of the line.
The standard form of equation of a line is y = mx+c where;
m is the slope
c is the intercept
Rewrite the equation in its standard form as shown:
2x-4y = 8
-4y = -2x+8
-4y/-4 = -2x/-4 + 8/-4
y = 1/2 x -2
On comparison, the slope m is 1/2
Hence the rate of change of y with respect to x is 1/2
Helpppp!! I don't understand this??????
At seven different restaurants, Rachel found that house salads cost an average of $3.80. If six of the restaurants priced house salads at $3.00, $3.45, $4.15, $4.60, $4.65, and $2.80, how much did a house salad cost at the other???????
Answers
Answer:
$3.77
Step-by-step explanation:
First, add all of the numbers together:
$3.00+$3.45+$4.15+$4.60+$4.65+$2.80=22.65
Next, divide that number by the number of numbers:
22.65/6=3.77
<3
A local pizza shop has a membership program for frequent buyers. The membership costs $5 per month and members get a discounted price of $2 per slice of pizza. Chase purchased a membership to this pizza shop. How much would Chase have to pay the pizza shop if he bought 19 slices of pizza this month?
Answers
Answer:
$38.
Step-by-step explanation:
2•19=$38
unless you need to add the $5 as well then it's $43
Answer:
$38 for the pizza. if you're counting the membership with it, its $43.
Step-by-step explanation:
$2 slices of pizza times 19 times bought. 2 · 19 is 38. with the membership added on, it would be $43.
if you need more explanation, ask in the comments! i would be happy to help :)
PLEASE HELP ASAP 50 POINTS!!!!!
Which equation represents an exponential function with an initial value of 500?
A: f(x) = 100(5)x
B: f(x) = 100(x)5
C: f(x) = 500(2)x
D: f(x) = 500(x)2
Answers
Answer:
the answer is a because all the other ones are multiplying a different number
Answer:
the answer is a because you have to put the x after the five.
Step-by-step explanation:
I did this last year in my math class
A model of a house has been drawn on a coordinate grid. One corner of the house has been drawn at (6, 3). The drawing will be translated two units down and three units to the right. How should the translation be written?
Answers
Answer:
(9, 1)
Step-by-step explanation:
Given the coordinate of one corner of the house has been drawn at (6, 3), if the drawing is translated two units down and three units to the right
two units down = -2 (along the negative y axis)
three units to the right = +3 (towards the positive x-axis)
The coordinate used to translate the model of the house (x, y) is (3, -2)
Adding both coordinates:
= (x, y) + (6, 3)
= (x+6, y+3)
Substitute the values of the translated coordinates
= (3+6, -2+3)
= (9, 1)
The translation should be written as (3+6, -2+3) which is equivalent to (9, 1)
There are 3,153,600 seconds in a year. How can you write this number in scientific notation?
Answers
Answer:
3.1536×10^6
I hope this helps!
Identify the constant proportionality: k=
Answers
Answer:
is there any more info?
Step-by-step explanation:
I don't see any info in order for me to solve this
A hot air balloon can hold up to 300 pounds of weight. The balloon's pilot weighs 140 pounds. How many 20-pound bags or sand can also be carried by the hot air balloon?
Answers
Answer:
8 sand bags can be carried along.
Step-by-step explanation:
First you want to subtract 300-140. That subtracts the pilots weight giving you the maximum weight capacity left. (160) Then you want to divide 160 (the weight that can be carried) by 20 (the weight of the sand bags) after doing that you will get 8. And that is how i got 8 sand bags as my answer.
Answer:
0, 5, 8
Step-by-step explanation:
Input 1 2 3 4 output -10 14 18 function or not
Answers
Answer:
function
Step-by-step explanation:
no multiplying numbers
PLS HELP 50 points!!!! Which relation is a function?
O {(-2, 1), (-7, - 1), (2, 8), (-7, – 8)}
O {(-2, 2), (-7, 7), (-1, 1), (-8, 8)}
O {(-2, 1), (-2, 2), (-2, 7), (-2, 8)}
O {(1, -7), (2, – 8), (-2, 7), (1, 8)}
Answers
Answer:
B
Step-by-step explanation:
For a relation to be a function, it must fit the following criteria:
Each input must be matched to exactly one output. Inputs cannot repeat*. Outputs can. *If inputs do repeat, they must be equal the same output as the other inputs.So, let’s go through each of the choices.
Choice A)
In this relation, -7 repeats. It simultaneously equals -1 and -8. So, this is not a function since it’s repeating and it doesn’t equal to same.
Choice B)
In this relation, none of the inputs are repeating. Therefore, B is the corrrect answer.
Choice C)
In this relation, -2 repeats four times. And each time, it equals something different. Therefore, C is not a function.
Choice D)
Here, 1 repeats twice, equalling both -7 and 8. Since it appeared more than once and is not equal to the same thing, D is not a function.
Therefore, our answer is B.
Edit: Typo
-3b+2=4b+9
pls answer hahaha
Answers
A triangle has angle measurements of 139°, 27°, and 14°. What kind of triangle is it?
Answers
One angle is greater than 90°
PLSSS HELPPP I WILL GIVE BRAINLIESTTTT!!!!!!!
Answers
Answer:
yes this is a function because you cannot touch more than one point at any location on the line
Step-by-step explanation:
Answer:
Step-by-step explanation:
yes it is a function because it goes in a straight line and goes through x and y
100 = 10 x + 6
One hundred students go to the cafeteria to
eat lunch. Six tables held the same amount of
students while an additional 10 students
stood in line. Which equation can be used to
find the number of students sitting at each
table?
A 100= 10x + 6
B 100 + 6 x= 10
C 10 x - 100 = 10
D 6x + 10 = 100
Answers
Answer:
D
Step-by-step explanation:
6x + 10 = 100
6 times 15 = 90
Add 90 + 10 = 100
Answer:
the answer is d
6x + 10 = 100
Step-by-step explanation:
choose the correct congruence statement
Answers
Answer:
To write the congruence statement, you need to line up the corresponding parts in the triangles: \begin{align*}\angle R \cong \angle F, \angle S \cong \angle E,\end{align*} and \begin{align*}\angle T \cong \angle D\end{align*}. Therefore, the triangles are \begin{align*}\triangle RST \cong \triangle FED\end{align*}.
Step-by-step explanation: