Answer:
(1, -8)
Step-by-step explanation:
Solve by Substitution
9x − y = 17 and 5x + 4y = −27
Solve for y in the first equation.
y = −17 + 9x 5x + 4y = −27
Replace all occurrences of y with −17 + 9x in each equation.
Replace all occurrences of y in 5x + 4y = −27 with −17 + 9x. 5x + 4 (−17 + 9x) = −27
y = −17 + 9x
Simplify 5x + 4 (−17 + 9x).
41x − 68 = −27 y = −17 + 9x
Solve for x in the first equation.
Move all terms not containing x to the right side of the equation.
41x = 41
y = −17 + 9x
Divide each term by 41 and simplify.
x = 1
y = −17 + 9x
Replace all occurrences of x with 1 in each equation.
Replace all occurrences of x in y = −17 + 9x with 1. y = −17 + 9 (1)
x = 1
Simplify −17 + 9 (1).
y = −8
x = 1
The solution to the system is the complete set of ordered pairs that are valid solutions.
(1, −8)
The result can be shown in multiple forms.
Point Form:
(1, −8)
Equation Form:
x = 1, y = −8
Use the distributive property to write the following expressions in expanded form. e ( f + g )
Answer:
ef + eg
Step-by-step explanation:
Distributive Property: a(b +c) = (a*b) + (a*c)
e(f +g) = e*f + e*g
= ef + eg
There was 4/5 of a cake sitting on the counter. Daryl ate 1/3 of the left over cake. How much cake was left over after he ate?
Answer:
7/15
Step-by-step explanation:
find a common demonator for example 15
you would do 4x3 for 12 and 5x3 for 15 so your first fraction would be 12/15
for the second fraction you will do 1x5 and 3x5 so your fraction would be 5/15
then you just subtract.
Answer:
7/15
Step-by-step explanation:
4/5 - 1/3. Change the denominators to 15, do they same to the numerators which is multiply by 5. You then have 12 minus 5 = 7. So 7/15.
Need help asap!! Tyyy
Answer:
42y + 12
Step-by-step explanation:
Simplify by applying the distributed property:
6 × 7y = 42y6 × 2 = 12Put them together: 42y + 12I hope this helps!
Please help please help
Answer:
101, 201, 301, 401, 501
Step-by-step explanation:
These are the first five multiples of 101
:D
An 18-pound bag of dog food is $27. What is the constant of proportionality that relates cost in dollars, y, to the number of pounds of dog food, x ?
A piece of cardboard has the dimensions (x + 15) inches by (x) inches with the area of 60 in 2 . Write the quadratic equation that represents this and show your work. Then find the possible value(s) for x, and find the actual dimensions of the postcard.
Answer:
[tex]x^2 + 15x - 60 = 0[/tex]
The actual dimension is 18.28 by 3.28
Step-by-step explanation:
Given
Dimension:
[tex](x + 15)\ by\ x[/tex]
[tex]Area = 60in^2[/tex]
Required
Determine the quadratic equation and get the possible values of x
Solving (a): Quadratic Equation.
The cardboard is rectangular in shape.
Hence, Area is calculated as thus:
[tex]Area = Length * Width[/tex]
[tex]60= (x + 15) * x[/tex]
Open Bracket
[tex]60= x^2 + 15x[/tex]
Subtract 60 from both sides
[tex]x^2 + 15x - 60 = 0[/tex]
Hence, the above represents the quadratic equation
Solving (b): The actual dimension
First, we need to solve for x
This can be solved using quadratic formula:
[tex]x = \frac{-b \± \sqrt{b^2 - 4ac}}{2a}[/tex]
Where
[tex]a = 1[/tex]
[tex]b = 15[/tex]
[tex]c = -60[/tex]
So:
[tex]x = \frac{-b \± \sqrt{b^2 - 4ac}}{2a}[/tex]
[tex]x = \frac{-15 \± \sqrt{15^2 - 4*1*-60}}{2*1}[/tex]
[tex]x = \frac{-15 \± \sqrt{225 + 240}}{2}[/tex]
[tex]x = \frac{-15 \± \sqrt{465}}{2}[/tex]
[tex]x = \frac{-15 \± \21.56}{2}[/tex]
Split:
[tex]x = \frac{-15 + 21.56}{2}[/tex] or [tex]x = \frac{-15 - 21.56}{2}[/tex]
[tex]x = \frac{6.56}{2}[/tex] or [tex]x = \frac{-36.36}{2}[/tex]
[tex]x = 3.28[/tex] or [tex]x = -18.18[/tex]
But length can't be negative;
So:
[tex]x = 3.28[/tex]
The actual dimensions: [tex](x + 15)\ by\ x[/tex] is
[tex]Length =3.28 +15[/tex]
[tex]Length =18.28[/tex]
[tex]Width = x[/tex]
[tex]Width =3.28[/tex]
The actual dimension is 18.28 by 3.28
Identify the equation of the line graphed below.
Answer:
B
Step-by-step explanation:
this is the correct awnser because the thingy is y-y¹=slope(x-x¹) so for y¹ it would be 2 and that gives away the awnser. because all of the other ones have different numbers if the minus sign is an addition sign it mean that the y¹ is negative which it isnt.
how you would find the y¹ is you look on the y-axis and see where the line goes through perfectly which is the positive 2
Hope this helps!
and isn't to complicated
please help me i give brainliest
the question is if you can’t see it “If 2 ringtones cost $6, and the cost of 3 ringtones is $9 how can you setup a proportion to compare two ratios? Use the graphic organizer below to set up your proportion!”
Answer:
I think
2 ring.... = $6
3ring..... = $9
1rings = 6/2 = 3
Step-by-step explanation:
For ratio you can write
2/6 = 3/9
Answer will be
1/3
Ratio is kinda rate for buying stuff, like comparison too
find the value of c that completes the square
x^2-6x+c
please help me with the math problem and show me how to do these kinds.
Thank you.
Answer:
The answer is 9
Step-by-step explanation:
for the equation:
move the -6x
x^2 + c - 6x
To find c :
c = (b/2)^2
this means you have to divide the coefficient of x by 2 then square the result
If you dont understand I put a picture of all the steps
Mary goes from the house to the tree. Then she goes from the tree to the lake how many miles did she go in all?
Answer:
not possible u have to give some unit of measuremant or time or speed
Step-by-step explanation:
idont even know i be stupid
Help me please and thanks
Answer:
3/-4 or -0.75 is the answer
Step-by-step explanation:
hope this is the right answer if it isnt sorryy
WHAT'S THE RANGEE??
Answer:
-2 < y ≤ 10
Step-by-step explanation:
The graph's lowest point is at y = -2, and the graph's highest point is at y = 10, so we know it would start off with -2 and end with 10. The dot at the lowest point is not shaded in, indicating that the graph does not include -2. So, we would represent this exclusion in our inequality with a less than (<) sign. As for the highest point at y = 10, it is shaded in, indicating that the graph does include 10. We would show this in our inequality with a less than or equal to sign (≤)
Draw a line representing the "rise" and a line representing the "run" of the line. State
the slope of the line in simplest form.
what is the slope of a line that is parallel to the line that passes through the points (2,-2) and (5,-1)
Answer:1/3
Step-by-step explanation:
The formula for finding slope is (y2-y1)/(x2-x1)
(-1--2)/(5-2)
1/3
Determine the type of triangle that is drawn below.
Answer:
Isosceles Right
Step-by-step explanation:
The equation that represents the canned goods order is
24x + 64y = 384, where x = number of minutes for
producing fruit cans and y = number of minutes for
producing vegetable cans.
What is the meaning of the y-intercept?
If you can give sample response from edge I will give brainliest!
Answer:
The y intercept is where the number of minutes producing fruit cans is 0 and the value of the number of minutes for producing vegetable cans is on the y-axis.
Step-by-step explanation:
A y-intercept is where the x value is 0 and the y-value is on the y-axis. So, the answer consists of making the x value 0.
Answer:
Sample Answer: The x-intercept, at the point (16, 0) indicates the choice to produce fruit for 16 minutes. In 16 minutes, producing 24 cans of fruit a minute, all 384 cans for the order will be completed. The zero for the y-value represents that no time is spent producing cans of vegetables.
Step-by-step explanation:
Find the slope of the line going through the points (1,3) and (4,9) The slope of the lines is m = (For example, slope -2)
my teacher was sharing his screen and he forgot and he was looking at this girls Instagram and it was a student in my class she was so embarrassed.
Answer:
LOL
Step-by-step explanation:
Answer:
hahaha bro maybe he was in love with her
Step-by-step explanation:
I need help on questions 2 and 4
Answer:
Step-by-step explanation:
1). There is 5 hours between 8:15 A.M. and 3:15 P.M.
7 × 60 - 10 = 410 minutes
2). 6 hours and 50 minutes
3). Right angle (90°)
4). Obtuse angle (120°)
Mr. Rodriguez barrowed 5000 to purchase a used car. He made payments of 236 per month to repay the amount he barrowed. Which table represents this information?
these numbers below represent the tables.
a:
0 5000
1 5000
3 5000
7 5000
b:
0 5000
1 4800
3 4400
7 3600
c:
0 5000
1 4770
3 4310
7 3390
d:
0 5000
1 4764
3 4292
7 3348
The graph shows the amount of money paid when purchasing bags of caramel corn at the zoo:
A graph is shown. The x-axis is labeled from 0 to 9. The y-axis is labeled from 0 to 10. Four points are shown on the graph on ordered pairs 0, 0 and 1, 3 and 2, 6 and 3, 9. These points are joined by a line. The label on the x-axis is Bags of caramel corn. The title on the y-axis is Total cost in dollars.
What does the point (0, 0) on the graph represent?
Answer:
Step-by-step explanation:
propportinal
means that the points are inproportion
ratios
1:3=2:6=3:7
1/3=2/6=3/7
1/3=1/3=3/7
false
therefor it is not poropoortional
another way is to graph the points and see if a straight line can go though all of them
it can go thoruhg the first 3 but not eh 4th pont (3,7)
not proportional
Answer:
a
Step-by-step explanation:
Solve the system of linear equations by adding or subtracting. 2x +y = -6 -5x + y = 8 Enter the solution as an ordered pair. The solution is
Answer: (-6,-4)
Step-by-step explanation:
A train travels with a constant speed of 108 km/h. How long will it take to travel a distance of 270 kilometers? PLEASE HELLLLLLPPPP THERE BRAINLIEST
Answer:
The answer is 2.5 hours. That's how long it would take the train to travel 270 kilometers.
mark me brainliest!
Help please someone I’m very confused
Answer:240
Step-by-step explanation:
The y int in this equation represents the starting amount and the y int is 240 miles
help please True or false 15=11m.
if m=4?
Answer:
False
Step-by-step explanation:
If F=4 that means 11 x 4 = 44 and 15 does not equal 44.
Ellyana's landscape gardening business creates odd-shaped lawns that include semicircles. Which choice best represents the area of this semicircular section of the lawn in this design. Use 3.14 for pi
Question 1 options:
452.16 meters squared
29.5788 meters squared
56.52 meters squared
226.08 meters squared
Answer: 56.52 meters squared i took the test :)
Step-by-step explanation:
ALSO ITS MY NAME LOL
Anderson Middle School received 37 tickets to next week's ball game. The tickets were given out to the 5 sixth grade classes. How many tickets were given to each grade? and How many were left over?
Answer:
7 tickets given to each class, 2 left over
Step-by-step explanation:
You can divide 37 by 5 to get 2 remaining.
EX: 37 / 2 = 7 r2
Write \sqrt{-40}
−40
in simplest radical form.
Answer:
2*{2*i*√(10) - 20}
Step-by-step explanation:
i will interpret your expression as being
sqrt{-40} − 40. The first term factors to
sqrt{-4*10)
and the second stays as is.
Then we have
sqrt(-4*10) - 40, or
i*2*sqrt(10) - 40, or
2*{2*i*sqrt(10) - 20}, or
2*{2*i*√(10) - 20}
Find the value of x in the figure below.
26
56
Х
Find the value of y.
Answer:
13.5
Step-by-step explanation:
just subtract everything aan keep the 13/5 and use tat
Answer:
y = 11.2
Step-by-step explanation:
Given:
The Side-Splitter Theorem states that:
JKP is any triangle
KL is drawn parallel to MN, then JK/KM = JL/LN
JK/KM = JL/LN = KL/MN
9/13.5 = (37.5 - x)/x = 7.5/y
9/13.5 = 7.5/y
y = 11.249
9/13.5 = (37.5 - x)/x
x = 22.5