Step-by-step explanation:
We will solve this system of equations using two methods: elimination and substitution.
Method 1: Elimination
2x - y = -8. #1
-5x + y = 26. #2
Note that by adding these two equations, the y-variable is eliminated (thus the name) and you're only left with an equation with one variable. So upon adding, we get
-3x = 18 or x = -6
Using this value for x, put this back in either one of the equations. Let's use the 2nd one.
-5(-6) + y = 26
--> 30 + y = 26
Moving 30 to the right side, we get y = -4.
Method 2: Substitution
This is done by isolating one variable to the left side in one equation and then using it on the other equation. Let's take equation #2 and put the y-variable on the left side and you should get
y = 5x + 26
Now use this equation and plug it into the y in equation #1:
2x - (5x + 26) = -8
--> 2x - 5x - 26 = -8
--> -3x = 26 - 8 = 18 or x = -6.
Use this value for x into either one of the equations. Let's use equation #1 this time.
2(-6) - y = -8
--> -12 + 8 = y or y = -4.
Notice that using either method will give you the same result, as one might expect.
PLEASE HELP HURYYYYYYYUHUHHH
Answer:
A the triangle
Step-by-step explanation:
it has three sides
Can you please ans me??
Answer:
see explanation
Step-by-step explanation:
A linear pair of angles sum to 180° , then
3x + 10 + 4x - 5 = 180
7x + 5 = 180 ( subtract 5 from both sides )
7x = 175 ( divide both sides by 7 )
x = 25
Then
3x + 10 = 3(25) + 10 = 75 + 10 = 85°
4x - 5 = 4(25) - 5 = 100 - 5 = 95°
------------------------------------------------------------
3x - 3 + 5x + 7 = 180
8x + 4 = 180 ( subtract 4 from both sides )
8x = 176 ( divide both sides by 8 )
x = 22
Then
3x - 3 = 3(22) - 3 = 66 - 3 = 63°
5x + 7 = 5(22) + 7 = 110 + 7 = 117°
Answer:
see explanation
Step-by-step explanation:
A linear pair of angles sum to 180° , then
3x + 10 + 4x - 5 = 180
7x + 5 = 180 ( subtract 5 from both sides )
7x = 175 ( divide both sides by 7 )
x = 25
Then
3x + 10 = 3(25) + 10 = 75 + 10 = 85°
4x - 5 = 4(25) - 5 = 100 - 5 = 95°
------------------------------------------------------------
3x - 3 + 5x + 7 = 180
8x + 4 = 180 ( subtract 4 from both sides )
8x = 176 ( divide both sides by 8 )
x = 22
Then
3x - 3 = 3(22) - 3 = 66 - 3 = 63°
5x + 7 = 5(22) + 7 = 110 + 7 = 117°
(-2,0);(0,7)
A.What is the slope?
B.What is the equation in point-slope form?
Answer:
A. 7/2 B.y - 0 = 7/2(x + 2)
Step-by-step explanation:
y2 - y1 / x2 - x1
7 - 0 / 0 - (-2)
7 / 2
= 7/2
y - 0 = 7/2(x + 2)
Help plssss I need help
Answer: 7 cm sorry if im wrong
Step-by-step explanation:
Cody collected 2,365 pennies. Jasmine collected 1,876 pennies. Who collected more pennies?
Answer:
CODY. CODY CODY CODY CODY
The blueprint of a deck has a scale of 2 centimeters equals 9 feet. The scale drawing is shown below.
---
6.com
Part A
What are the actual lengths of the sides of the deck?
Part b
Decking cost $1.75 per square foot. How much will it cost to build the deck?
Answer:24
Step-by-step explanation:24
Will give Brainliest! I just really need help!
Answer:
The horizontal shift depends on the value of h . When h>0 , the horizontal shift is described as: g(x)=f(x+h) g ( x ) = f ( x + h ) - The graph is shifted to the left h units. g(x)=f(x−h) g ( x ) = f ( x - h ) - The graph is shifted to the right h units.
Step-by-step explanation:
Your Welcome! :)
Answer:
Depends on your functions, but could be horizontal translation.
Step-by-step explanation:
I would need the functions but I hope the info I gave will help at least a little. I think the other person probably has it better.
Write a cosine function that has an amplitude of 2, a midline of 5 and a period of \frac{3\pi}{4} 4 3π .
Given:
Amplitude = 2
Midline = 5
Period of [tex]\dfrac{3\pi}{4}[/tex].
To find:
The cosine function.
Solution:
The general cosine function is:
[tex]f(x)=A\cos(Bx+C)+D[/tex] ...(i)
Where, |A| is amplitude, [tex]\dfrac{2\pi}{B}[/tex] is period, [tex]-\dfrac{C}{B}[/tex] is phase shift and D is the mid line.
Period of function is [tex]\dfrac{3\pi}{4}[/tex]. So,
[tex]\dfrac{3\pi}{4}=\dfrac{2\pi}{B}[/tex]
[tex]B=2\pi\times \dfrac{4}{3\pi}[/tex]
[tex]B=\dfrac{8}{3}[/tex]
Substituting [tex]A=2,\ B=\dfrac{8}{3},\ C=0,\ D=5[/tex] in (i), we get
[tex]f(x)=2\cos(\dfrac{8}{3}x+0)+5[/tex]
[tex]f(x)=2\cos(\dfrac{8}{3}x)+5[/tex]
Therefore, the required cosine function is [tex]f(x)=2\cos(\dfrac{8}{3}x)+5[/tex].
straight line graphs
Answer:
I don't get it what is the question ❓
Plsss help I will give brainliest
The nth term of the sequence is given by 2n² + 1. Write down the next four terms of the sequence.
1.3, 9, 19, 33
2.4, 10, 20, 34
3.5, 11, 21, 35
4.6, 12, 22, 36
if your answer is write so i will mark as brainliest
Answer:
1. 3, 9, 19, 33
Step-by-step explanation:
2(4)²+1 = 2(16)+1 = 32+1 = 33
Chasidy and Shelby went to the candy store. Chasidy bought 5 pieces of fudge and 3 pieces
bubble gum for a total of $5.25. Shelby bought 2 pieces of fudge and 3 pieces of bubble gu
for a total of $3.00. What was the cost of the fudge and the gum?
please answer ASAP
Answer:
75cents for the fudge while the bubble gum are .50 cents
Step-by-step explanation:
because we got that 75 cents is for the fudge so they we multiple 75cents w 2 and when you sum it up if it makes the amount they spent then its right
Use a calculator to evaluate 4^sqrt 4 to the nearest ten thousandth.
a. 7.1030
b. 16.000
c. 50.4525
d. 256.1234
Answer:
b. 16.000
Step-by-step explanation:
[tex]4^{\sqrt{4}}[/tex]
[tex]\sqrt{4} =2[/tex]
=[tex]4^2[/tex]
=16.000
((PLEASEEE HELPP MEE))
The elimination method is ideal for solving this system of equations. By which number must you multiply the second equation to eliminate the y-variable, and what is the solution for this system?
x + 3y = 42
2x=y= 14
A.) Multiply the second equation by-3. The solution is x = 12, y=9.
B.) Multiply the second equation by -2. The solution is = 12. y=10.
C.) Multiply the second equation by 2. The solution is x= 15, y=9.
D.) Multiply the second equation by 3. The solution is x= 12 y= 10.
Answer:
D.
Step-by-step explanation:
In order to eliminate, the numbers must eliminate. If the second equation is multiplied by 3, then the 3 and the -3 can be eliminated. Since it is multiple choice, we can plug in x = 12 and y = 10 to see if they are correct. 12 + 30 = 42 and 24 - 10 = 14, so D is correct.
39/360 in simplest form
Answer:
[tex] = \frac{13}{120} [/tex]
What is the answer ?????
Step-by-step explanation:
very difficult............
does anyone know this answer? timed test
if a student is selected at random, find the probability the student is a male given that its a sophomore
Answer:
60
Step-by-step explanation:
:)
pls help me solve pls show how you got the answer
Answer:
Square root of 77.44 = height and length of gray squares = 8.8 cm
Since there are 3 squares that make up the height of that object 8.8 cm * 3 =
26.4 cm (the height of 3 gray squares
Square root of 4.84 = 2.2 cm
So the total height = 26.4 + 2.2 = 28.6 cm
Step-by-step explanation:
35
Find the value of x.
30
16
Х
Answer:
B:34
Step-by-step explanation:
16² + 30² = c²
256 + 900= 1156
square root of 1156 is 34
Con procedimiento por favor
Answer:
C
Step-by-step explanation:
The formula for the volume of a cone is V=13πr2h,V=\frac{1}{3}\pi r^2 h,V=31πr2h, where r is the radius of the cone and h is the height of the cone. Rewrite the formula to solve for the positive value of rin terms of h and V.
Answer:
r = √3V/√πh
Step-by-step explanation:
V = 1/3πr²h
where,
V = volume of the cone
r = radius of the cone and
h = height of the cone.
Rewrite the formula to solve for the positive value of r in terms of h and V.
V = 1/3πr²h
V = 1/3 * π * r² * h
r² = V ÷ 1/3 * π * h
r² = V ÷ πh/3
r² = V × 3/πh
r² = 3V / πh
find the square root of both sides
√r² = √3V / πh
r = √3V/πh
Also written as
r = √3V/√πh
What is the value of x?
Answer:
The value of x is 88° enjoy
I need help fast please!
what is the percent increase between 8,863,052 and 9,149,840?
Answer:
[tex]increase = 9149840 - 8863052 \\ = 286788 \\ \% \: increase = \frac{286788}{8863052} \times 100\% \\ = 3.24\%[/tex]
Answer:
=3.23577% increase
Step-by-step explanation:
1) subtract final value minus starting value
2) divide that amount by the absolute value of the starting value
3) multiply by 100 to get the percent increase
4) if the percentage bis negative, it means there was a decrease and not an increase
x+2y =27 and 2x-y=19
Answer:
x = 13 , y = 7
Step-by-step explanation:
x + 2y = 27 => x = 27 - 2y ---------( 1 )
2x - y = 19 ------------ ( 2 )
Substitute ( 1 ) in ( 2 ) :
2x - y = 19
2(27 - 2y) - y = 19
54 - 4y - y = 19
-5y = 19 - 54
-5y = -35
y = 7
Substitute y = 7 in ( 1 ) :
x = 27 - 2y
x = 27 - 2( 7 )
x = 27 - 14
x = 13
Felix is a quality control expert at a factory that paints car parts. Their painting process consists of a primer coat, color coat, and clear coat. For a certain part, these layers have a combined target thickness of 150 microns. Felix measured the thickness of 50 randomly selected points on one of these parts to see if it was painted properly. What is Felix's margin of error? "Round to 2 decimal places
Answer:
0.9
Step-by-step explanation:
His sample had a mean thickness of 148 microns and a standard deviation of 3.3 microns with a 95% confidence interval for the mean thickness.
Solution:
The z score shows by how many standard deviations the raw score is above or below the mean.
Given that:
The mean (μ) = 148 microns, standard deviation (σ) = 3.3 microns, sample size (n) = 50 and confidence interval (C) = 95%
α = 1 - C = 1 - 0.95 = 0.05
α/2 = 0.05/2 = 0.025
The z score of α/2 is the same as the z score of 0.475 (1 - 0.025) which is equal to 1.96
The margin of error (E) is given by:
[tex]E=z_{\frac{\alpha}{2} }*\frac{\sigma}{\sqrt{n} } \\\\E=1.96*\frac{3.3}{\sqrt{50} } \\\\E=0.9\ microns[/tex]
What is the value of p in the equation 8p + 2 = 4p − 10?
ayudame Help pls
Answer:
p = -3
Step-by-step explanation:
8p + 2 = 4p - 10
combine like terms:
8p + 2 = 4p - 10
-2 -2
(+2 - 2 = 0 ~ this cancels out)
8p = 4p - 12
-4p -4p
(+4p - 4p = 0 ~ this cancels out)
4p = -12
isolate the variable through division
4p/4 = -12/4
p = -3
Please help will give brainliest
Answer:
-2
Step-by-step explanation:
(fxg)(0)
= f(0) x g(0)
since f(0) = -1 and g(0) = 2so (fxg)(0) = -2
Two boats leave Port West at 8:00am. One boat travels a bearing of N23°E at a speed of 14 knots. The other travels a bearing of N78°E at a speed of 22 knots. How far apart are the boats at 11:00am?