Answer:
[tex]y = \frac{-8}{3}x - 8[/tex]
Step-by-step explanation:
Solving for the equation of the line with two points:
Let's remind ourself of the slope - intercept formula: [tex]y = mx + b[/tex]
We first have to find the slope of the line. This is found by using the formula :
[tex]\frac{y_1 - y_2}{x_1 - x_2}[/tex]
We have to find the change in y (Δy) and divide it by the change in x (Δx)
We then have to plug in a coordinate given to us, and use the point's x and y value to find the y - intercept
Step 1: SlopeLet's use the slope formula
[tex]\frac{0 - (-8)}{-3 - 0} = \frac{8}{-3}[/tex]
Slope = -8/3
Step 2: Y - InterceptTo find the y - intercept, we'll update our slope - intercept formula with the slope, and plugin a point. Let's use (-3,0)
[tex]y = \frac{-8}{3}x + b[/tex]
[tex]0 = \frac{-8}{3}(-3) + b[/tex]
[tex]0 = \frac{24}{3} + b[/tex]
[tex]0 = 8 + b[/tex]
[tex]b = -8[/tex]
Step 3: EquationLet's input our slope and y - intercept to the equation [tex]y = mx + b[/tex]
Slope = -8/3
Y - Intercept = -8
Equation: [tex]y = \frac{-8}{3}x - 8[/tex]
-Chetan K
PLS HELP WILL MARK BRAINLIEST
[tex]f(a) = -4a +6a^3 - 15 -4a^2 \\\\\text{By the remainder theorem,}\\\\f\left(\dfrac 53 \right) = -4\left(\dfrac 53 \right) + 6 \left( \dfrac 53 \right)^3 - 15 - 4 \left(\dfrac 53 \right)^2 = -5\\\\\\ \text{Hence}~-5~ \text{is the remainder when f(a) is divided by}~ 3a -5[/tex]
[tex]\\ \sf\longmapsto 3a-5=0[/tex]
[tex]\\ \sf\longmapsto 3a=5[/tex]
[tex]\\ \sf\longmapsto a=\dfrac{5}{3}[/tex]
Using remainder theorem
[tex]\\ \sf\longmapsto f(a)=-4a+6a^2-4a^2-15[/tex]
[tex]\\ \sf\longmapsto f\left(\dfrac{5}{3}\right)[/tex]
[tex]\\ \sf\longmapsto -4(5/3)+2a^2-15[/tex]
[tex]\\ \sf\longmapsto -20/3+2(5/3)^2-15[/tex]
[tex]\\ \sf\longmapsto -20/3+2(25/9)-15[/tex]
[tex]\\ \sf\longmapsto -20/3+50/9-15[/tex]
[tex]\\ \sf\longmapsto (-60+50)/9-15[/tex]
[tex]\\ \sf\longmapsto -10/9-15[/tex]
[tex]\\ \sf\longmapsto -10-135/9[/tex]
[tex]\\ \sf\longmapsto -145/9[/tex]
[tex]\\ \sf\longmapsto 16\dfrac{-5}{9}[/tex]
Remainder=-5
NEED ASAP!!!
Evaluate the expression for the given value of the variable. 28+ 7 9r r= -1/2
Answer:
-11.5
Step-by-step explanation:
28+ 79r r= -1/2
28+ 79(-1/2) =
28 + -39.5 -11.5
I need help with this question! Whoever is correct, I will give brainliest!
The system of equations that can be used to model the situation is:
B. [tex]x + y = 27[/tex][tex]y = 3 + \frac{1}{2}x[/tex]What is a system of equations?A system of equations is when two or more variables are related, and equations are built to find the values of each variable.
In this problem, the variables are:
Variable x: number of boxes Juan packed.Variable y: number of boxes David packed.Together they packed 27 boxes, hence:
[tex]x + y = 27[/tex]
David packed 3 more than half the number Juan packed, hence:
[tex]y = 3 + \frac{1}{2}x[/tex]
Hence, the system of equations that models the situation is:
B. [tex]x + y = 27[/tex][tex]y = 3 + \frac{1}{2}x[/tex]You can learn more about system of equations at https://brainly.com/question/25960609
Drake bought a $110,000 life insurance policy at $12.95 for a 20 year term.
What will he pay over 20 years for the premium?
Drake will pay $28,490 over 20 years for the premium.
Data and Calculations:
Life insurance policy = $110,000
Insurance term = 20 years
Premium rate = $12.95 per $1,000
Total premium per year = $1,424.50 ($12.95 x $110,000/$1,000)
Total premium for 20 years = $28,490 ($12.95 x $110,000/$1,000 x 20)
Thus, Drake will pay a total premium of $28,490 for 20 years.
Learn more: https://brainly.com/question/3164505
What is the length of the unknown side of the right triangle? A right triangle with hypotenuse x and legs 7 and 24 7 24 25 31
Answer:
X = 25
Step-by-step explanation:
To find the hypotenuse of a right triangle you use pythagorean theorm Where C = Hyp
A = Leg1
B = Leg 2
A^2 + B^2 = C^2
7^2 + 24 ^2 = x^2
49 + 576 = x^2
625 = X^2 (Square root both sides)
25 = x
-- Gage Millar, Algebra 1/2 tutor
the table shows the price x (in dollars) of a product at several different stores and the profits y (in dollars) generated by seeing the product. use a graphic calculator to write a function that models the data. Round each value in your function to the nearest hundredth. The equation is y=___
Regression equations are used to represent the relationship between the x and y variables.
The regression equation is [tex]\mathbf{y =-0.39X +467.84}[/tex]
Using a graphing calculator, we have the following parameters
Sum of x: [tex]\mathbf{\sum x = 269}[/tex]Sum of y: [tex]\mathbf{\sum y = 3170}[/tex]Mean of x: [tex]\mathbf{\bar x = 38.4286}[/tex]Mean of y: [tex]\mathbf{\bar y = 452.8571}[/tex]Sum of squares: [tex]\mathbf{SS_x = 1679.7143}[/tex]Sum of products: [tex]\mathbf{SP = -648.5714}[/tex]The regression equation is represented as:
[tex]\mathbf{y =bX +a}[/tex]
Where:
[tex]\mathbf{b = \frac{SP}{SS_x}}[/tex] and [tex]\mathbf{a = \bar y-b \times \bar x}[/tex]
So, we have:
[tex]\mathbf{b = \frac{-648.5714}{1679.7143}}[/tex]
[tex]\mathbf{b = -0.39}[/tex]
Also, we have:
[tex]\mathbf{a = \bar y-b \times \bar x}[/tex]
This gives:
[tex]\mathbf{a = 452.8571 - (-0.39 \times 38.4286) }[/tex]
[tex]\mathbf{a = 467.84}[/tex]
Substitute values for (b) and (a) in [tex]\mathbf{y =bX +a}[/tex]
[tex]\mathbf{y =-0.39X +467.84}[/tex]
Hence, the regression equation is [tex]\mathbf{y =-0.39X +467.84}[/tex]
See attachment for the scatter plot
Read more about regression equations at:
https://brainly.com/question/7656407
One number is 3 times another. If the difference between the numbers is 14, what is the larger number?
Answer:
21
Step-by-step explanation:
Create an equation: 3n - n = 14
Solve: 3n - n = 14
2n = 14
n = 7
Larger number: 3(7) = 21
Answer:
The numbers are 7 and 21.
Step-by-step explanation:
The difference is 14 and 7*3= 21
b2 - 12a when a = 1/4 and b = 8
Answer:
13
Step-by-step explanation:
b2-12a
2(8)-12(1/4)
16-12/4
16-3
13
If a fair coin is tossed 9 times, what is the probability, to the nearest thousandth, of
getting exactly 6 tails?
Answer:
16.4% quick maths, ya dig?
What is the range of this function?
4
-
co
8
7
18
-15
O A. {-4, -1, 15, 18}
O B. {-4,1,7,15}
OC. {-1,4, 8, 18}
O D. {-4, -1,1,4,7,8, 15, 18}
Answer:
Not sure but I think it's B.
When using re-grouping to solve 25 x 45, what are the four problems that would be calculated to find the final answer?
A.20 x 40; 5 x 40; 20 x 5; 5 x 5
B.20 x 20; 40 x 40; 20 x 5; 5 x 5
C.20 x 40; 20 x 5; 40 x 5
D.20 x 40; 5 x 20; 20 x 5; 5 x 5
Answer:
It is number 1
Step-by-step explanation:
I tried it.
help asap ill give brainliest
Answer: The answer is 120 degrees, mama
Step-by-step explanation:
(n-2)180
What i mean by n is the total amount of sides so in this case it would be 6. so the equation would look like (6-2)180.
6-2=4
(4)180
720
720/6
120 thats how you get the answer
Round 53,714.54 to the nearest a. thousandth. b. thousand.
(6.-1);y=-5x+3
slope intercept form
Answer:
y = x + 4 y= x − 8 25 x + y =
3
Step-by-step explanation:
Find the greatest common factor of 27 and 46
The greatest common factor of 27 and 46 is 1
Find the quotient. Write the answer in the simplest form.
58÷34
Answer:
1.70588235294
Step-by-step explanation:
i think
Answer:
1.70
Step-by-step explanation:
pls help! NO LINKS I WILL REPORT YOU
Write 0.012 as a fraction in simplest form.
Answer:
3/25Step-by-step explanation:
Remove The decimal,
= > 0.012 = 12/100
= > 3/25...ans
Hope it Helps you!!Given that the area of a rectangle can be represented by 5x2-8x-4, write expressions to represent
the length and width of the rectangle. Show all work for credit.
Answer:
length: 5x + 2
width: x - 2
Step-by-step explanation:
Factors of 5
1, 5
Factors of 4
1, 4
2, 2
Sign
one positive, one negative
Factor 5x^2 - 8x - 4
(5x + 2)(x - 2) = 5x^2 - 10x + 2x - 4
(5x + 2)(x - 2) = 5x^2 - 8x - 4
Therefor
length: 5x + 2
width: x - 2
f(x) = -x2
Domain and range
Answer: answer in attachment.
Answer:
Hindi ko na to I answer may nag answer na e
Explanation:
Brainlest po please please follow ko po kayo promisebasta brainlest mo ako
okay, i’ve been given a new question KCNDJXNZNS
Answer: 40
Step-by-step explanation:
The angles in a triangle are equal to 180
We can use this equation to find x
180 = 20 + 3x + x
Then we solve
160 = 4x
x = 40
Answer:
180 = 20 + 3x + x
X = 40
Step-by-step explanation:
180 = 20 + 3x + x
Combine like terms
180 = 20 + 4x
Subtract 20 on both sides
160 = 4x
Divide both sides by 4
40 = x
if g(x)=x^2+2x, find g(-6)
Answer:
-6/2+2×(-6)
-3+(-12)
-3-12
-15
Andre rode his bike at a constant speed. He rode 1 mile in 8 minutes. Which of these equations
represents the amount of time tin minutes) that it takes him to ride a distance d of miles?
Andre rode 1 mile in 8 minutes. In 2 minutes he will ride 16 minutes, we know this because he is riding at a constant speed. Now, lets turn this into an equation. Due to the fact that the speed is consent at 8 minutes a mile, with d being the distance in miles, we can say that y = 8d
Lets test this equation out:
y = 8d 1 minute
y = 8
y = 8d 2 minutes
y = 16
I hope this helps! :)
4n + 8 = 40
what does n =
4n + 8 = 40
4n = 40 - 8
4n = 32 / : 4
n = 8
N = 8
Hope this helps!!! if so please give brainliest
Maki~
Which angle is the smallest?
12
10
D
Answer:
Step-by-step explanation:
Amat increased the amount of carbs he eats each day from 120g to 165g. By what percentage did he increase the amount of carbs he eats?
Answer:
32%
Step-by-step explanation:
7.5t= 45 Solve this.
Answer:
t = 337.5
Step-by-step explanation:
(7.5) * 7.5t = 45 * (7.5)
t = 337.5
Just some simple algebra, please mark me brainliest!
Anything number raised to the zero power is
Answer:
It is equal to 1 when raised to the zero power.
Step-by-step explanation:
Answer:
1
Step-by-step explanation:
Any number raised to the zero power equals 1. This is by definition to make the rules of exponents work.
Look at this example:
Any number (except zero) divided by itself equals 1.
For example, 25/25 = 1,
but 25 = 5²,
so 25/25 = 5²/5²
The rule of dividing two powers with the same base is to use the same base and subtract the powers.
5²/5² = 5^(2 - 2) = 5^0
By the rule of exponents, 5²/5² = 5^0,
but we saw above that 5²/5² = 25/25 = 1, so
5^0 must equal 1.
This led to the following definition of zero exponent.
Definition:
For any number a, a^0 = 1.
In 161616 years, Ben will be 333 times as old as he is right now.
How old is he right now?
Answer:
8
Step-by-step explanation:
I'm going to guess there's a typo in the question and it should be
In 16 years, Ben will be 3 times as old as he is right now.
x + 16 = 3x
subtract x from both sides
16 = 2x
Divide both sides by 2
8 = x
x = 8
.3 times the value of 8/4 of positive a witch equals the sum of what
a =34.55
Answer:
I have difficulty understanding the question. I read it as "What is the value of a number that when multiplied by 0.3 times (8/4) is equal to 34.55. This doesn't seem correct, but if it is:
Step-by-step explanation:
(0.3)*(8/4)x = 34.55
(8/4)x = 115.17
x = (4/8)*(115.17)
x = 57.58
21 is the correct answer.