Answer:
Remainder = zero
Answer = (4x^3) +(5x^2) -4x +3 or 4x³ +5x²-4x+3
Step-by-step explanation:
(4x^3) +(5x^2) -4x +3
x-4√4x^4-11x^3-24x^2+19x-12 We multiply (x-4) by 4x³
4x^4-16x^3
- +
5x^3-24x^2+19x-12
5x^3-20x^2 We multiply (x-4) by +5x²
- +
-4x^2+19x-12
-4x^2+16x We multiply (x-4) by - 4x
+ -
3x-12
3x-12 We multiply (x-4) by +3
- +
zero remainder
We keep multiplying the factor (x-4) by different terms to get the first term desired in each step . Then we subtract by changing the signs and get the remainder.
The answer is the expression obtained at the top.
4x^4-11x^3-24x^2+19x-124 /x-4 = 4x³ +5x²-4x+3
A student wrote and simplified an expression for the perimeter of the rectangle. (Using the picture provided.)
perimeter.
Explain the mistake that was made in the simplified expression. Include the correct simplified expression in your explanation. Be sure to use math vocabulary words.
Answer:
Again...
Step-by-step explanation:
i'm not sure what's the answer?
:)
i believe the answer is B.
An online clothing company sells custom sweatshirts. The company charges $ for shipping plus $ for each sweatshirt. Write a linear function rule that models the total cost y (in dollars) for any number of sweatshirts x.
Complete question :
An online clothing company sells custom sweatshirts. The company charges $4.99 for shipping plus $7.50 for each sweatshirt. Write a linear function rule that models the total cost y (in dollars) for any number of sweatshirts x.
Answer:
y = 7.50x + 4.99
Step-by-step explanation:
Given that :
Shipping fee = 4.99
Cost per shirt = 7.50
Writing the relation in the form of a linear equation :
General form of a linear function :
y = mx + c
Where m = slope ; c = intercept
The total cost of ordering x sweatshirts :
y = (cost per sweatshirt * number ordered) + shipping fee
y = 7.50x + 4.99
Answer:
the answer is $7.99
Step-by-step explanation:
A runner times herself to see how long it takes her to run different distances. The table shows the runner's times (in minutes) for running several distances (in miles). Miles 1 2 3 4 6 8 10 12 Time 7 16 30 35 57 75 106 132 What is the correlation coefficient of the set of data? Round your answer to the nearest thousandth. A. 0.599 B. 0.996 C. 0.021 D. negative 0 point 997
Asap! Thanks!
Answer:
its b
Step-by-step explanation:
The correlation coefficient of the set of data is 0.9957.
What is coefficient correlation? What is the general equation of a Straight line?Correlation coefficient measures the strength and direction of the relationship between two variables. Following is the formula to calculate the correlation coefficient -
[tex]$r =\frac{\sum\left(x_{i}-\bar{x}\right)\left(y_{i}-\bar{y}\right)}{\sqrt{\sum\left(x_{i}-\bar{x}\right)^{2} \sum\left(y_{i}-\bar{y}\right)^{2}}}[/tex]
r → correlation coefficient.
[tex]$x_{i}[/tex] → values of the x-variable in a sample.
[tex]$\bar{x}[/tex] → mean of the values of the x-variable.
[tex]$y_{i}[/tex] → values of the y-variable in a sample.
[tex]$\bar{y}[/tex] → mean of the values of the y-variable.
The general equation of a straight line is -
y = mx + c
Other possible equations of lines are -
(y - y₁) = m(x - x₁) {Point - slope form}(y - y₁) = (y₂ - y₁) × (x - x₁)/(x₂ - x₁) {Two point - slope form}x/a + y/b = 1 {intercept form}x cos(β) + y sin(β) = L {Normal form}We have a runner times herself to see how long it takes her to run different distances. The table shows the runner's times (in minutes) for running several distances (in miles) -
Miles -
1 2 3 4 6 8 10 12
Time -
7 16 30 35 57 75 106 132
The calculations are given below -
[X - Mₓ]
- 4.750
- 3.750
- 2.750
- 1.750
0.250
2.250
4.250
6.250
Mₓ = 5.750
[Y - My]
- 50.250
- 41.250
- 27.250
- 22.250
- 0.250
17.750
48.750
74.750
My = 57.250
[X - Mₓ]²
22.562
14.062
7.562
3.062
0.062
5.062
18.062
39.062
Sum = 109.500
[Y - My]²
2525.062
1701.562
742.562
495.062
0.062
315.062
2376.562
5587.562
Sum = 13743.500
(X - Mₓ)(Y - My)
238.688
154.688
74.938
38.938
- 0.062
39.938
207.188
467.188
Sum = 1221.500
Finding [X] - Values -
∑ = 46Mean = 5.75∑(X - Mₓ)² = SSₓ = 109.5Finding [Y] - Values -
∑ = 458Mean = 57.25∑(Y - My)² = SSy = 13743.5[X] and [Y] Combined
N = 8∑(X - Mx)(Y - My) = 1221.5R Calculation
r = ∑((X - My)(Y - Mₓ)) / √((SSₓ)(SSy))
r = 1221.5 / √((109.5)(13743.5)) = 0.9957
r = 0.9957
Therefore, the correlation coefficient of the set of data is 0.9957.
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If f(x) = 3x + 2, what is f(5)?
Answer:
f(5)=3(5)+2 = 17
Step-by-step explanation:
Write an equation in slope-intercept form for the line that passes through the given point and is parallel to the graph of the given equation. (0,2); y=-5x + 8
Answer:
y=-5x+2
Step-by-step explanation:
its that because if the lines are parallel then they have the same slope. and it alr gives you the y intercept so just put it together
Part A: Explain why the x-coordinates of the points where the graphs of the equations y = ^2−x and y = ^4x + 3 intersect are the solutions of the equation 2^−x = 4^x + 3.
Part B: Make tables to find the solution to 2^−x = 4^x + 3. Take the integer values of x only between −3 and 3.
Part C: How can you solve the equation 2^−x = 4^x + 3 graphically?
Answer:
Post a photo
Step-by-step explanation:
What is the equation of the line through (2,3) and (0,-1)\
WILL GIVE BRAINLIEST
Answer:
y=2x−1
Explanation:
First, we need to determine the slope of the line. The formula for determining the slope of a line is:
m=y2−y1x2−x1
where m is the slope and the x and y terms are for the points:
(x1,y1) and (x2,y2)
For this problem the slope is:
m=3−−12−0
m=3+12m=42m=2
Now, selecting one of the points we can use the point slope formula to find the equation.
The point slope formula is:
y−y 1=m(x−x1)
Substituting one of our points gives:
y−1=2(x−0)y+1=2x
Solving for y
to put this in standard form gives:
y+1−1=2x−1
y+0=2x−1
y=2x−1
What is the slope of the line that passes through the points M(-3,5) and N (1,8)
Answer:
m=[tex]\frac{3}{4}[/tex]
Step-by-step explanation:
The original price of a ski jacket was $220. It was on sale at a 25% discount. Arianna had a coupon for an additional 10% off the sale price.
What price did Arianna pay for the ski jacket?
Which situation can the integer -71 represent?
Choose the correct answer below.
A) a bird flies 71 ft above sea level
B) you climb a mountain 71 ft above sea level
C) a fish swms 71 ft below sea level
HELP WITH 5 and 6 pleaseeee
The equations 3 x minus 4 y = negative 2, 4 x minus y = 4, 3 x + 4 y = 2, and 4 x + y = negative 4 are shown on the graph below.
On a coordinate plane, there are 4 lines. Green line goes through (0, negative 4) and (2, 4). Blue line goes through (negative 2, 2) and (2, negative 1). Pink line goes through (negative 2, negative 1), and (2, 2). Purple line goes through (negative 2, 4) and (0, negative 4).
Which is the approximate solution for the system of equations 3 x + 4 y = 2 and 4 x + y = negative 4?
(–1.4, 1.5)
(1.4, 1.5)
(0.9, –0.2)
(–0.9, –0.2)
Answer:
(–1.4, 1.5)
Step-by-step explanation:
What is -2-(-7)
Plsss explain
Answer:
14 I think I'm. it completely sure
Answer:
5
Step-by-step explanation:
you keep the sign of the first number
change the minus sign to addition
and the 7 to a positive
-2 +7
is the same as 7 - 2 if you switch the term
what is a simplified fractional eqeuvilent of a teminating decimal .68
Answer:
17/25
Step-by-step explanation:
0.68 is read as "sixty-eight hundredths."
Write sixty-eight hundredths as a fraction: 68/100
Now we reduce 68/100.
68/100 = 34/50 = 17/25
Answer:
17 /25
Step-by-step explanation:
0.68
is the same as
6
10
+
8
100
=
68
100
68
÷
4
100
÷
4
=
17
25
As 17 is a prime number we stop at this point. srry if this in not correct
I'LL MARK AS BRAINIEST !!! please hurry !!!
Which expression is equivalent to cos 16°?
A. sin 164°
C. sin 84°
B. sin 16°
D. sin 74°
Answer: my answer for dat will be sin 16 degrees
Step-by-step explanation:
PLZ ANSWER IF U KNOW THE ANSWER!
SHOW YOUR WORK!
Which of the following transformations would show that ∆DEF is congruent to ∆JKL?
A). ROTATION
B). A REFLECION IN THE Y-AXIS
C). A REFLECTION IN THE X-AXIS
D). A ROTATION ABOUT THE ORGIN
23.
At a football game 6 out of the first 9 people visiting the concession stand ordered nachos. Based on this
information, if 180 people visited the concession stand, how many people could be expected to order nachos? PLZ HURRY!!!!
Answer:
120 people are likely to order nachos.
Step-by-step explanation:
Answer: 2/3
Solve: 9 goes into 180 20 times. 9x20= 180
6x20=120
Denominator is 180, Numerator is 120.
120/180 simplified is 2/3.
Plz help me out I’m so confused
Answer:
b
Step-by-step explanation:
Answer:
The correct answer would be the second option y-2=1/3(x-3)
What is the value of 0.6 + 0.3? Write your answer as a fraction in lowest terms. 0.6 is repeated.
Answer:
9/10 0.9.............
Answer:
1
Step-by-step explanation:
0.666...+0.3=0.999...
1
Determine the slope of each line.
1.
ТУ
2.
8
ty
8
115,7)
4
(6,5)
4
Х
0
-4
-8
0
-8
4 8
(
2-2)
4
-
-4, -3)
-8
S
Answer:
The slope of the given line is -4
Step-by-step explanation:
The formula of the slope of a line passes through points (x1, y1) and (x2, y2) is m = [tex]\frac{y2-y1}{x2-x1}[/tex]
In the given figure
∵ The line passes through the points (-6, 5) and (-4, -3)
∴ x1 = -6 and y1 = 5
∴ x2 = -4 and y2 = -3
→ Substitute them in the formula of the slope above
∵ m = [tex]\frac{-3-5}{-4--6}[/tex]
∴ m = [tex]\frac{-8}{-4+6}[/tex]
∴ m = [tex]\frac{-8}{2}[/tex]
∴ m = -4
∴ The slope of the given line is -4
At Parkview Middle School, 6th grade students were given a survey about their favorite flavor of ice
cream. The results showed that 18 students stated that strawberry was their favorite ice cream
flavor. This number represented 12% of the total number of 6th grade students who took the survey.
What was the total number of 6th grade students who took the survey?
Answer:
5
Step-by-step explanation:
i think
Lin’s family has completed 80% of a trip. They have traveled 40 miles. How far is the trip? *
Answer:
50 miles i believe
Step-by-step explanation:
Answer:
50 miles
Step-by-step explanation:
what is the slope of the 2 points (10,15) (6,23)
Answer:
The slope is -2.
Step-by-step explanation:
m=y2-y1/x2-x1 (also, y1-y2/x1-x2 is also true.)
=23-15/6-10 m=15-23/10-6
= 8/-4 =-8/4
=4/-2 =-4/2
= 2/-1 =-2/1
m=-2 m=-2
A jewelry artist is selling necklaces at an art fair. It costs $135 to rent a booth at the fair. The cost of materials for each necklace is $4.50. The artist is selling the necklaces at $12 each. The inequality LaTeX: 12n > 135 + 4.50n12 n > 135 + 4.50 n represents the situation in which the artist makes a profit. Will the artist make a profit if she sells 15 necklaces? Show how you know. Be sure to indicate what the variable n represents.
Answer:
The artist will make a profit if she sells 15 necklaces. This is known because 15 is greater than 11.625 (i.e. 15 > 11.625).
Step-by-step explanation:
Note: The question contains some error. The question is therefore rewritten before is answered as follows:
A jewelry artist is selling necklace at an art fair. It costs $135 to rent a booth at the fair. The cost of material for each necklace is $4.50. The artist is selling the necklace at $12 each. The inequality 12n>135+4.50 represents the situation in which the art is making the profit. Will the artist make a profit if she sells 15 necklaces? Show how you know. Be sure to indicate what the variable n represents.
The explanation of the answer is therefore given as follows:
Given;
12n > 135 + 4.50 .................... (1)
Where n represents the number of necklace that must be sold by the artist to make a profit.
Solving for n from equation, we have:
12n > 139.50
n > 139.50 / 12
n > 11.625 ..................... (2)
Equation (2) implies that more than 11.625 necklaces must be sold by the artist to make a profit.
When the artist sells 15 necklaces, it implies that n = 15.
Since more than 11.625 necklaces must be sold by the artist to make a profit, it therefore implies that the artist will make a profit if she sells 15 necklaces. This is known because 15 is greater than 11.625 (i.e. 15 > 11.625).
Who knows how to do this I TRULY NEED HELP
Pleaz Helpz!!! I needz this done before my final!!!
the perimeter of the field is 442
width=w
the length of the field is 9 yards less than quadruple W
L=4x - 9
the perimeter is P=2L+2W
you can plug in the values
P= 2(4w-9) + 2W
plug in 442 for P
442= 2(4w- 9) + 2W
442= 8w - 36 + 2W
478 =8w + 2W
478= 10W
47.8 is your answer!!!
— 2х + Зу = 6
solve for y
Answer:
y = 2/3x+3
Step-by-step explanation:
-2x+3y=6
you add 2x to the other side 3y=2x+6
and divide by 3
y = 2/3x+2
how are ASA and AAS used to show that triangles are congruent?
Answer:
If two pairs of corresponding angles and the side between them are known to be congruent, the triangles are congruent. This shortcut is known as angle-side-angle (ASA). Another shortcut is angle-angle-side (AAS), where two pairs of angles and the non-included side are known to be congruent.
In ASA, two angles and one common side is equal and in AAS one not common side and two angles are equal.
What is triangle?Simple polygons with three sides and three internal angles make up triangles. One of the fundamental geometric shapes is represented by the symbol and consists of three connected vertices.
The ASA congruence means, there will be two corresponding angles and one side between them will be equal, then the triangles are congruent.
The AAS congruence means, there will be two corresponding angles and one side excluded from them will be equal, then the triangles are congruent.
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What is the slope of the line?
Answer:
[tex]m=-3[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Find points from graph.
Point (2, 3)
Point (3, 0)
Step 2: Find slope m
Simply plug in the 2 coordinates into the slope formula to find slope m.
Substitute [SF]: [tex]m=\frac{0-3}{3-2}[/tex]Subtract: [tex]m=\frac{-3}{1}[/tex]Divide: [tex]m=-3[/tex]