Answer:
[tex]y - 8 = - | x - 3| [/tex]
x+5y=5
Convert from the given standard form of a linear equation to the slope-intercept form of a linear equation
Answer:
y=-1/5x+1
Step-by-step explanation:
divide both sides by 5: 1/5x+y=1
subtract 1/5x so y is alone since slope-intercept has y=mx+b: y=-1/5x+1
The slope-intercept form of the line x + 5y = 5 is y = - (1/5)x - 1.
What are lines and their slopes?We know lines have various types of equations, the general type is
Ax + By + c = 0, and equation of a line in slope-intercept form is y = mx + b.
Where slope = m and b = y-intercept.
the slope is the rate of change of the y-axis with respect to the x-axis and the y-intercept is the (0,b) where the line intersects the y-axis at x = 0.
Given, An equation of a line in the standard form x + 5y = 5.
We know the equation of the slope-intercept of the line is y = mx + b.
Therefore, The slope-intercept form of the equation x + 5y = 5 is,
5y = - x - 5.
y = - (1/5)x - 1.
learn more about lines and slopes here :
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is π + 24 rational or irrational
Answer:
Irrational
Step-by-step explanation:
As pi=3.141...
pi+24=27.141....
21 = -4h +13-h
Send help:(
Answer:
h = -8/5
Step-by-step explanation:
21 = -4h +13-h
simplify the right side
21 = -5h + 13
subtract 13
21 = -5h + 13
-13 - 13
8 = -5h
divide by -5
8 = -5h
/-5 /-5
[tex]-\frac{8}{5} = h[/tex]
A researcher wants to test whether a certain sound will make rats do worse on learning tasks. It is known that an ordinary rat can learn to run a particular maze correctly in 18 trials, with a standard deviation of 6. (The number of trials to learn this maze is normally distributed.) The researcher now tries an ordinary rat in the maze, but with the sound. The rat takes 38 trials to learn the maze. (a) Using the .05 level, what should the researcher conclude? Solve this problem explicitly using all five steps of hypothesis testing, and illustrate your answer with a sketch showing the comparison distribution and the rejection region.. (b) Then explain your answer to someone who has never had a course in statistics (but who is familiar with mean, standard deviation, and Z scores).
Answer:
So we reject the null hypothesis and accept the alternate hypothesis that rats learn slower with sound.
Step-by-step explanation:
In this data we have
Mean= u = 18
X= 38
Standard deviation = s= 6
1) We formulate the null and alternate hypothesis as
H0: u = 18 against Ha : u > 18 One tailed test .
2) The significance level alpha = ∝= 0.05 and Z alpha has a value ± 1.645 for one tailed test.
3)The test statistics used is
Z= X- u / s
z= 38-18/6= 3.333
4) The calculated value of z = 3.33 is greater than the z∝ = 1.645
5) So we reject the null hypothesis and accept the alternate hypothesis that rats learn slower with sound.
First we set the criteria for determining the true of value of the variable. That whether the rats learn in less or more than 18 trials.
Then we find the value of z for the given significance value given and the test about to be checked.
Then the test statistic is determined and calculated.
Then both value of z and z alpha re compared. If the test statistics falls in the rejection region reject the null hypothesis and conclude alternate hypothesis is true.
The figure shows that the calulated z value lies outside the given z values
2y-1/-3 =-5 prove y=8
What are the statements and reasons for this questions?
Answer:
I will provide the steps below.
Step-by-step explanation:
First, You will need to plug in the 8.
2(8)-(1/-3)=-5
Multiply
16-(-1/3)=-5
If we have two negitive it turns into possitive.
16+1/3=-5
16+1/3=-5
This statement is not true becuase if y=8 the equation will be (16+1/3)=5
*Make sure your giving me the right eqution otherwise this statment is false.*
Estimate.
36 x 92 ~ ?
Answer:
3,312
lets be real who arctually looks at the step by step just use a calculator for this one
Two galaxies are shown. Galaxy U: Dust, gas, and stars in the shape of a pinwheel, relatively small in size. Galaxy NGC 1427A: Dust, gas, and stars in a nonuniform arrangement spread out over a large area. How are NGC 1427A and U different? How are they the same?
Answer:
NGC 1427A has no general shape, so it is an irregular galaxy. U has a bulge in the center and arms, so it is a spiral galaxy. They are similar in that both contain plenty of dust and gas. Both also have active star-forming sites.
Step-by-step explanation:
NGC 1427A is an irregular galaxy with no discernible shape. The spiral galaxy U has a bulge in the middle and arms.
What is a galaxy?A galaxy is a massive clump of gas, dust, and billions of stars and their solar systems bound together by gravity.
The first galaxies were discovered in the 17th century by Charles Messier, who had no idea what they were at the time.
Messier, a proficient comet viewer, noticed many more fuzzy objects in the sky that he knew were not comets.
We would discover 64 galaxies the size of the Milky Way in a cube that now holds one galaxy the size of the Milky Way.
NGC 1427A is an irregular galaxy because it lacks a general shape. U is a spiral galaxy, since it contains a bulge in the center and arms.
They are comparable in that they both have a lot of dust and gas. Both have active star-formation sites.
Hence, they are comparable in that they both have a lot of dust and gas.
To learn more about the galaxy refer to the link;
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5y^2-6y-11-6y^2+2y+5
Answer:
-y² - 4y - 6
Step-by-step explanation:
Step 1: Write expression
5y² - 6y - 11 - 6y² + 2y + 5
Step 2: Combine like terms (y²)
-y² - 6y - 11 + 2y + 5
Step 3: Combine like terms (y)
-y² - 4y - 11 + 5
Step 4: Combine like terms (constants)
-y² - 4y - 6
simplify
(8-2) a + 9b - (3+2) a + 10
Answer:
a+9b+10
Step-by-step explanation:
use foil method
5t + 2 = 12
can someone help me solve this? it’s a 2 step equation
Answer:
T=2
Step-by-step explanation:
5x2=10
10+2=12
Could I please have BRAINLIEST.
If f(x)=-5x+2 and g(x)=1/2x-4, find f(g(12))
[tex]f(x) = -5x + 2[/tex] [tex]g(x) = \frac{1}{2}x - 4[/tex]
[tex]f(g(x)) = -5(\frac{1}{2}x - 4) + 2\\= -\frac{5}{2}x + 20 + 2\\= -\frac{5}{2}x + 22[/tex]
f(x)=-5x+2 g(x)=1/2x-4
find f(g(12))
-5(1/2x - 4) + 2
-2.5x + 20 + 2
-2.5 + 22
Hope this helps! :)
Please help!! ASAP!!
Answer:
The scientific notation will be Letter D
what is the value of x?
10
24
4
16
Answer:
16Step-by-step explanation:
Corresponding angles are equal
5x + 40 = 1205x = 80x = 80/5x = 16khawla drove 320 kilometers using 12 liters of gas , at this rate , How many liters of gas would she need to drive 296 kilometers . Help :)
Answer:
She would need 11.1 liters of gas.
Write an equation of 6x with a discount of 15%
Answer:
thats hard
Step-by-step explanation:
This is a math question if you are good this is good for you this is hard
Answer:
Hope this helps!
Step-by-step explanation:
1- -24
2- -23
3- -2
4- 11
5- 5
6- -3
7- 28
8- 120
4) A baby weighed 7.2 pounds at birth and 9.0 pounds at the age of one
month. What was the percent increase? (Round to the nearest whole
percent)
Answer:
Step-by-step explanation:
Hopes this helps!
Answer:
25%
Step-by-step explanation:
9.0 - 7.2 = 1.8
(1.8 ÷ 7.2) × 100 = Answer %
Write an equation for the description.
Tanmayi wants to raise $170 for a school fundraiser. She has raised $140 so far. How much more does she
need to reach her goal? Let m be how much more is needed.
Answer:
She needs $30.
Step-by-step explanation:
170 minus 140 is 30.
What is the cost $ of 13 Ibs of rice ?
Answer:
8.48$
Step-by-step explanation:
I think
Hope this helps
What two number multiply to -48 and add to -2?
Answer:
6 and -8
Step-by-step explanation:
Solve:
xy = 48
x + y = -2
You can say y = -2-x = -(x+2) and then substitute that in the first:
-x(x+2) = 48
-x² -2x - 48 = 0
x² + 2x + 48 = 0
Quadratic formula can do the rest if you don't "see" the factorization.
For every 14 litres of petrol a car can run for 70 km. How much petrol do you need (to 1 DP) to ensure the car has enough petrol of a trip that is 126 km
Answer:
25.2
Step-by-step explanation:
14litres : 70 km
? : 126km
126/70 = 1.8
14 x 1.8 = 25.2
25.2 litres of petrol
please mark as brainliest. thank you
Answer:
25.2 litres
Step-by-step explanation:
using proportion
let the amount of petrol we are searching for be x
14litres/xlitres =70km/126km
cross multiply
70x=126×14
70x =1764
x=1764/70
x=25.2litres
Write the equation for the graph below.
PLEASEE I NEED HELP !
Answer:
X = 3 Y = -3
Step-by-step explanation:
The arrow is on X = 3 and the other side of arrow is on Y = -3
Hope I helped
DaniElSabiondoYorel went to Foot Locker to but her some new shoes. She found a pair that she like and they cost $120. If she has a coupon for 30% off. How must will she pay for the shoes.
Round 458.87 to the nearest tenths. *
a) 459.0
b) 458.9
c) 459
d) 560
Answer:
b) 458.9
Step-by-step explanation:
the tenths digit is the 8 right of the decimal so if you were to round, it would be 458.9 because 7 is closer to 10 than zero.
Hope this helps and can you please mark me brainliest?I just need 4 more brainliest to become expert
If 2x + 7 = -21, what does 2 - x equal?
Answer:
16
Step-by-step explanation:
First, we solve for x.
[tex]2x+7=-21\\2x=-28\\x=-14[/tex]
We now evaluate 2-x, plugging in -14 for x.
[tex]2-x\\2-(-14)\\2+14\\16[/tex]
12.5
Step-by-step explanation:2x+7=-21
2x+7-7=-21-7
2x=-28
2x/2=-28/2
x=-14
2-x=?
2-(-14)
2+14=16
Hope this helped!
Evaluate the following function f(x) = x²-20 for f(5)
Answer:
f(5) = 5
Step-by-step explanation:
To evaluate f(5) , substitute x = 5 into f(x), that is
f(5) = 5² - 20 = 25 - 20 = 5
Answer:
5
Step-by-step explanation:
Subitute:
f(5) = 5^2-20
Solve:
f(5) = 5
if someone could please help that would be great <3
Answer:
BD = 12
Step-by-step explanation:
please help or I fail
Answer:
G
Step-by-step explanation:
you just see the place value of the number you are multiplying by and you you put the place value. For example ( 3× 0.01) is going to be ( 0.03) if it makes it easier just take the 3 and substitute it for the 1.
Hope this helped : )
Solve for x and find de mesures of Angule B
Answer:
x=9.4
b=77.2
Step-by-step explanation:
a+b=180
as they are interior angles
(6x-48)+(4x+38)=180
6x-48+4x+38=180
6x+4x+38-48=180
10x+86=180
10x=180-86
10x=94
x=94/10
x=9.4
b=(4x+38)
b=4x+38
b=4(9.8)+38
b=39.2+38
b=77.2
43.82 divided by 7.4
Answer:The answer is 2191/370
Answer:
5.92297297297...
Step-by-step explanation:
First, I made it into a fraction and multiplied the numerator and denominator by 10: [tex]\frac{43.82}{7.4}[/tex]
Then I put it into long division format and solved.
So, these are the following steps that I did:
1. Divide 438 by 74 to get 5.
2. Multiply the quotient digit left (5) by the divisor 74.
3. Subtract 370 from 438, add a decimal point to the solution, and divide to find the remainder.
In the end, I got 5.92297297297... [ 297 will continue to repeat so this is a repeating decimal. ]
