It is convenient to start with the point-slope form and then simplify it to the desired form.
The point-slope form of the equation for a line with slope m through point (h, k) can be written as ...
... y = m(x -h) +k
You have m=-7 and (h, k) = (-3, 16), so you can fill in the numbers to get ...
... y = -7(x +3) +16
... y = -7x -21 +16 . . . eliminate parentheses
... y = -7x -5 . . . . the form you are looking for
multiply 3x-4y=-2 by three numbers and see if (6,5) is still a solution
What is the value of arcsin (-0.18)? Use a calculator to determine the answer.
Answer:
A) -0.18 rad
Step-by-step explanation:
arcsin(x) = a means that sin(a) = x
For example
arcsin(1) = pi/2.
It means that pi/2 is the value for which the sin is equals to 1.
arcsin(-0.18)
This is the value of x for which sin(x) = -0.18. This happens for x = -0.18 rad.
So the correct answer is:
A) -0.18 rad
How are percent error and percent change similar
25 is the result when 8 and x are added. What is the value of x? Enter your answer in the box as a fraction in simplest form.
Its simply just 8 minus 25 to find x but there is no fraction.
caroline has enough pumpkin seeds to cover an area of 350 square feet. her garden measures 18 feet by 22 feet. does she have enough pumpkin seeds to fill the whole garden? explain
yes
area = 18 × 22 = 396 ft²
Since 396 > 350
Caroline has more than enough to fill her garden
The number of counties in state A and the number of counties in state B are consecutive even integers whose sum is 142. If state A has more counties than state B, how many counties does each state have?
Let the number of counties in state B be n, then the number of counties in state A is n+2 (the next even integer number after n). The sum of these two consecutive integers is 142, then
n+n+2=142,
2n=142-2,
2n=140,
n=70.
In state B there are 70 counties, and in state A there are 72 counties.
Q##..15 Graph the equation. y= 4x - 3
Answer: Please, see the attached file.
Thanks.
Solution:
We can graph using the intercepts:
(1) y-intercept, when x=0
y=4x-3→y=4(0)-3→y=0-3→y=-3
Point=(x,y)=(0,-3)
(2) x-intercept, when y=0
y=4x-3→0=4x-3
Solving for x: Adding 3 both sides of the equation:
0+3=4x-3+3
3=4x
Dividing both sides of the equation by 4:
3/4=4x/4
3/4=x
x=3/4=0.75
Point=(x,y)=(3/4,0)=(0.75,0)
With these pair of points (0, -3) and (0.75,0) we can draw the right line
Suppose the roots of a polynomial are 3 4 , − 7 8 , − 3 8 , and − 1 9 . Which choice is a factor of the polynomial?
A) (x +3/4)
B) (x + 3/8)
C) (x - 7/8)
D) (x - 1/9)
Answer:
x+7/8
Step-by-step explanation:
A polynomial has roots at the points where the curve cuts the x axis.
This can also be said as values of x for which the polynomial is 0
Given that when x =a is root means, we have x-a is the factor.
Based on the above, we find when 3/4, -7/8, -3/8 and -1/9 are roots
factors are x-3/4, x+7/8, x+3/8, x+1/9
Hence answer is
B) (x + 3/8)
The other options do not match with the factors only option Bmatches.
Answer: The factor of the polynomial is [tex](x+\frac{3}{8})[/tex]
Step-by-step explanation:
We are given:
4 roots of the polynomial
Root 1: [tex]\frac{3}{4}[/tex]
The factor for this root becomes: [tex](x-\frac{3}{4})[/tex]
Root 2: [tex]\frac{-7}{8}[/tex]
The factor for this root becomes: [tex](x+\frac{7}{8})[/tex]
Root 3: [tex]\frac{-3}{8}[/tex]
The factor for this root becomes: [tex](x+\frac{3}{8})[/tex]
Root 4: [tex]\frac{-1}{9}[/tex]
The factor for this root becomes: [tex](x+\frac{1}{9})[/tex]
Hence, the factor of the polynomial is [tex](x+\frac{3}{8})[/tex]
Write a number that is 100 times smaller than 7,000
You are selling raffle tickets to raise money. Each ticket costs $5. Which equation solves for the number of tickets you must sell to raise $45?
A) 45-5=x
B) x/4=45
C) 45=5+x
D) 5x=45
D. 5x = 45 because you are trying to find x, the number of tickets that must be sold to earn $45.
Answer:
5x=45
Step-by-step explanation:
Solve the inequality:
|x+3|<1
This can be "unfolded" to ...
... -1 < x+3 < 1
Subtracting 3 gives the solution:
... -4 < x < -2
What is the sum of the series?
2+6+18+54+...+39,366
Try this solution (see the attachment; the given series is an geometric series).
Answer is marked by red colour.
HURRY 30 PTS
What is the equation of the graphed line written in standard form?
A. 3x + y = –5
B. x + 3y = –5
C. 3x – 5y = –15
D. 5x – 3y = 15
D
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y-intercept )
to calculate m use the gradient formula
m = ( y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (3, 0 ) and (x₂, y₂ ) = (0, - 5 )
m = [tex]\frac{-5-0}{0-3}[/tex] = [tex]\frac{5}{3}[/tex]
line crosses y-axis at (0, - 5 ) hence c = - 5
y = [tex]\frac{5}{3}[/tex] x - 5 ← in slope-intercept form
the equation of a line in standard form is
Ax + By = C ( A is a positive integer and B, C are integers )
rearrange slope-intercept form into standard form
multiply all terms by 3
3y = 5x - 15 ( subtract 3y and add 15 to both sides )
5x - 3y = 15 ← in standard form → D
Answer:
its d on edgunity
Step-by-step explanation:
I am F years old and my brother is B years older. What is the sum of our ages? What will be the sum of our ages in three years? What was the difference of our ages two year ago
a) The sum of your ages is F + (F+B) = 2F+B.
b) In 3 years, the sum of your ages will be (F+3)+(F+B+3) = 2F+B+6.
c) The difference of your ages at any time is B.
Answer:
a) The sum of your ages is F + (F+B) = 2F+B.
b) In 3 years, the sum of your ages will be (F+3)+(F+B+3) = 2F+B+6.
c) The difference of your ages at any time is B.
Complete the equation of the line through (-1,6) (7,-2)
Like Y= ??
The point-slope form:
[tex]y-y_1=m(x-x_1)\\\\m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
We have the points (-1, 6) and (7, -2). Substitute:
[tex]m=\dfrac{-2-6}{7-(-1)}=\dfrac{-8}{8}=-1\\\\y-6=-1(x-(-1))\\\\y-6=-(x+1)\\\\y-6=-x-1\qqiad|\text{add 6 to both sides}\\\\\boxed{y=-x+5}[/tex]
if i have a pay rate of $21.00 and marked up 78.7% and made a 10% profit. how did i get $41.28?
Step-by-step explanation:
Since we have given that
Amount of pay rate =$21
If she marked up by 78.7% , so it becomes
[tex]78.7\%\text{ of}\$21\\\\=\frac{78.7}{100}\times \$21\\\\=\$16.527[/tex]
So, our amount for pay rate becomes
[tex]21+16.527\\\\=\$37.527[/tex]
Now, he said he made a profit of 10%,so it becomes
[tex]10\%\text{ of }37.527\\\\=\frac{10}{100}\times 32.527\\\\=\$3.7527[/tex]
So, our new pay rate becomes
[tex]37.527+3.7527\\\\=\$41.2797[/tex]
This is the step through which we can get $41.28.
Which inequality correctly compares two of these times? A) 54.05 > 54.15 B) 54.5 < 54.1 C) 54.15 > 54.05 D) 54.1 < 54.05
c is right answer because 54.15 is bigger than 54.05
In comparing decimal numbers using inequalities, choice C (54.15 > 54.05) is correct. The other three options incorrectly compare the numbers.
Explanation:The question is asking us to compare two different decimal numbers using inequalities. Inequalities in mathematics are used to show the order of numbers, illustrating which is greater or less than the other.
Let's look at each option:
A) 54.05 > 54.15 - This is incorrect because 54.05 is less than 54.15.B) 54.5 < 54.1 - This is incorrect because 54.5 is actually greater than 54.1.C) 54.15 > 54.05 - This is correct because 54.15 is indeed greater than 54.05.D) 54.1 < 54.05 - This is incorrect because 54.1 is greater than 54.05.Therefore, the choice C correctly compares the two decimal numbers using inequalities.
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How many whole numbers are there, whose squares and cubes have the same number of digits?
There are the following numbers for which that holds:
{-4, -2, -1, 0, 1, 2, 4}
See table below. For larger than 5 it can be proved that the number of digits will never be the same.
x x^2 x^3
0 0 0
1 1 1
2 4 8
4 16 64
Answer:
the answer if 4 numbers
(sorry i dont have an explenation i litterally guessed it when I entered it in the RSM portal.)
Step-by-step explanation:
Simplify the expression by combining like terms.
8m + 13g - 8 +3m-g
8m + 13g - 8 + 3m - g
8m + 3m = 11m
13g - g = 12g
11m + 12g - 8 ⇒ Your simplified expression
There you go! I really hope this helped, if there's anything just let me know! :)
Answer:
11m+12g-8
Step-by-step explanation:
8m+13g-8+3m-g
8m+3m+13g-g-8
11m+12g-8
Explicit formula for 79,71,63,55
Your sequence has a common difference of -8, so could be considered an arithmetic sequence with first term 79. A formula for the n-th term might be ...
... a[n] = 79 -8(n -1)
or
... a[n] = 87 -8n
Evaluate the expression {362-[6×3+(48÷2)×2]}+3(9+4)
{362- {6x3+(48/2) x2]}+3(9+4)
{362- {6x3+24 x2]}+3(9+4)
{362- 66+3(9+4)
{362- 66+3(9+4)
{296+3(13)}
(296+39)
335
The Answer is 335.
To evaluate the expression {362-[6×3+(48÷2)×2]}+3(9+4), we need to follow the order of operations. After simplifying each part of the expression and performing the necessary operations, the final result is 287.
Explanation:To evaluate the expression {362-[6×3+(48÷2)×2]}+3(9+4), we need to follow the order of operations, also known as PEMDAS. This acronym stands for Parentheses, Exponents, Multiplication and Division (from left to right), and Addition and Subtraction (from left to right).
First, let's simplify the expression inside the parentheses: [6×3+(48÷2)×2].
Using the division rule, we have: [6×3+(24)×2].Next, we perform the multiplications: [18+48×2].Then, we simplify further: [18+96].The sum inside the parentheses is equal to 114. Therefore, the expression becomes {362-114}+3(9+4).Next, let's evaluate the expression inside the curly braces: {362-114}. This can be done by subtracting 114 from 362, resulting in 248.Finally, we have to evaluate the expression 3(9+4). Following the order of operations, we perform the addition inside the parentheses first: 3(13). Multiplying 3 by 13 gives us 39.Now, we add the results of the two evaluated expressions: 248+39. This gives us a final result of 287.
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What happens if the correlation coefficient equals 0? A. There is a strong negative linear relationship between x and y. B. There is not a linear relationship between x and y. C. There is a strong positive linear relationship between x and y. D. There is a weak negative linear relationship between x and y.
The appropriate choice for the interpretation of a correlation coefficient of 0 is ...
... B. There is not a linear relationship between x and y.
Answer:
B.
There is not a linear relationship between x and y.
Step-by-step explanation:
PLATO fam
⦁ Holly, Tyler, and their parents go shopping for some items to update their 3 bedrooms. They have exactly $325 that they can spend. They have the following items in their cart: 3 packages of curtains, 3 bedspreads, 3 gallons of paint, and 3 lamp shades. Complete the following to find out if they have enough money to purchase these items and, if they do, how much they will have left over.
⦁ If a package of curtains cost $24.50, what is the cost of the 3 packages of curtains in the cart?
⦁ If a bedspread costs $39.95, what is the cost of the 3 bedspreads in the cart?
⦁ If a gallon of paint costs $24.96, what is the cost of the 3 gallons of paint in the cart?
⦁ If a lamp shade costs $9.99, what is the cost of the 3 lamp shades in the cart?
⦁ Find the total cost of all the items in the cart. Then, find the amount of money the family has left, if any, from the $325.
PLS PLEASE HELP ME!!!!!!!ASAP!!!!!!????
Curtains:
$24.50 x 3 = $73.50
Bedspread:
$39.95 x 3 = $119.85
Gallon of paint:
$24.96 x 3 = $74.88
Lamp shade:
$9.99 x 3 = $29.97
The cost of all the items:
$73.50 + $119.85 + $74.88 + $29.97 = $298.20
How much money is left:
$325 - $298.20 = $26.80
So the family has $26.80 left.
Hope this Helps!!
Graph the function f(x)=x2.
Plot the vertex. Then plot another point on the parabola. If you make a mistake, you can erase your parabola by selecting the second point and placing it on top of the first.
Graph [tex]f(x) = x^2[/tex]
quadratic function is of the form [tex]f(x) = ax^2 + bx +c[/tex]
In our f(x) there is no x term and constant so we put 0
[tex]f(x) = 1x^2+0x+0[/tex]
The value of a=1 , b=0 and c=0
To find vertex , use formula [tex]x= \frac{-b}{2a}[/tex]
Plug in the values
[tex]x= \frac{-0}{2(1)}[/tex] =0
Now plug in x=0 in f(x) equation
[tex]f(x) = x^2[/tex]
[tex]f(0) = 0^2[/tex]=0
So vertex is (0,0)
Now we pick some number for x below and above 0
Make a table
x y=x^2
-2 4
0 0
2 4
Now plot all the points (-2,4) (0,0) and (2,4)
The graph is attached below
Which of the following statements is NOT true?
A. A number ending in 0 or 5 is always divisible by 5.
B .A number ending in 0 is always divisible by 10.
C. If a number is divisible by both 2 and 3, then it is not divisible by 6.
D. Odd numbers are not divisible by 2.
Answer:
The answer is C
Step-by-step explanation:
Your welcome :)
Angelo, age 40, is comparing the premium for a $125,000 whole life insurance policy he may take now and the premium for the same policy taken out at age 45. Using the table, find the difference in total premium costs over 20 years for this policy at the two age levels. a. $69,375 b. $11,725 c. $12,875 d. $644
Policy value over 20 years = 125000
Per year, 125000/20=$6250
Look up premium table for age 40 and 45, the difference in total premium is C. $12,875.
To find the difference in total premium costs over 20 years for a whole life insurance policy at two age levels, calculate and subtract the total premium at each age.
Explanation:To find the difference in total premium costs over 20 years for the whole life insurance policy at the two age levels, we need to calculate the total premium at each age and then subtract the two values.
For Angelo at age 40, the value of the policy is $125,000. Let's assume the premium rate is x. So, the total premium at age 40 is 20 * x. For Angelo at age 45, the value of the policy is still $125,000. Let's assume the premium rate is y. So, the total premium at age 45 is 15 * y. To find the difference in total premium costs over 20 years, subtract the total premium at age 45 from the total premium at age 40: 20 * x - 15 * y.Therefore, the difference in total premium costs over 20 years for this policy at the two age levels is 20 * x - 15 * y.
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13x + 5 + 17x -4.5 + x explain why this is wrong show your
18x + 17x - 4.5 + x work
35x - 4.5 + x
30.5x + x
31.5x
The answerer is combining terms in x with constants
that is, 13x + 5 ≠ 18x
13x + 5 + 17x - 4.5 + x
= (13x + 17x + x ) + 5 - 4.5 ← collecting like terms
= 31x + 0.5 ← correct simplification
combining terms in x with constants
13x + 5 ≠ 18x
13x + 5 + 17x - 4.5 + x
= (13x + 17x + x ) + 5 - 4.5 <--- collecting like terms
= 31x + 0.5 <--- correct simplification
Alice earns simple interest of $120 at an annual interest rate of 6% for the period of 1 year. What equation shows the relationship between principal amount (p), rate of interest (r), period of investment in years (t), and interest earned (i).
i = [tex]\frac{prt}{100}[/tex]
with i = 120 then
p = [tex]\frac{100(120)}{6}[/tex] = $2000
Answer:
120 = p × 6% × 1
Step-by-step explanation:
just put in the answer
then it will be correct
Use the polynomial remainder theorem to evaluate the polynomial for the given value.
f(x)=3x^3−2x^2−3x+18
What is the value of f(1) ?
f(1) = 16
to evaluate f(1) substitute x = 1 into f(x)
f(1) = 3 - 2 - 3 + 18 = 16
When 3x³ - 2x² - 3x + 18 is divided by (x - 1 ) the remainder is 16
4z+27+5x=14y
If x,y and z each represent a different digit from 0 - 9 what is the value of (x)(y)(z)
In order for the equation to work, x must be odd. Trying different values of x, we find 5 solutions:
(x, y, z) = (1, 4, 6), (3, 5, 7), (5, 6, 8), (7, 5, 2), (9, 6, 3)
Then the product xyz could be any of 24, 105, 240, 70, or 162.