Answer:
[tex](x−6)(x−4)[/tex]
Step-by-step explanation:
[tex]x^2 - 10x + 24[/tex]
[tex] {x}^{2} −6x−4x+24[/tex]
[tex]x(x−6)−4(x−6)[/tex]
[tex](x−6)(x−4)[/tex]
Hope it is helpful...Answer:
(x - 4 )(x - 6 )
Step-by-step explanation:
[tex]x^2 - 10x + 24 \\\\=x^2 - 6x - 4x +24 \\\\=x(x - 6) -4(x - 6) \\\\=(x - 4)(x-6) \\[/tex]
What is the slope of the line that is parallel to the given line and passes through the given point?
What is the equation, in point-slope form, of the line that is parallel to the given line and passes through the given point?
What is the y-intercept of the line that is parallel to the given line and passes through the given point?
Answer:
What is the slope of the line that is parallel to the given line and passes through the given point?
-1/4
What is the equation, in point-slope form, of the line that is parallel to the given line and passes through the given point?
y + 4 = -1/4(x + 2)
What is the y-intercept of the line that is parallel to the given line and passes through the given point?
-9/2
Step-by-step explanation:
Good lcuk for anyone who needs this<3
The equation of the line in point slope for is expressed as [tex]y - 2 = 3/2(x - 2)[/tex]
Since the line cross the y-axis at -1, hence the y-intercept of the line that is parallel to the given line and passes through the given point is (0, -1)
Equation of a line in point-slope form?The equation of a line in point-slope form is expressed as:
y - y0 = m(x - x0)
m is the slope
(x0, y0) is any point on the line
Using the coordinate points (2, 2) and (-2, -4)
Determine the slope
Slope = -4-2/-2-2
Slope = -6/-4
Slope = 3/2
Using the point (2, 2), the equation of the line in point slope for is expressed as:
[tex]y - 2 = 3/2(x - 2)[/tex]
Since the line cross the y-axis at -1, hence the y-intercept of the line that is parallel to the given line and passes through the given point is (0, -1)
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.........................
Answer:
The literals are; a, b, and c
The constants are; c, and 3
The variables are; x, and y
Step-by-step explanation:
The literals (numbers) are letters which represent numbers in an expression or equation, and to which mathematical operations, including, addition, subtraction, division, and multiplication can be applied
The given equation is a·x² + b·x + c - y + 3 = 0
The literals are;
'a', 'b', and 'c'
The constants are the values that remain the same always in an equation and does not change
The constants are;
'c', and '3'
The variables are the values that vary in relation to one another
The variables are;
'x', and 'y'
What is the measure of
Answer:
PRQ = 86 degrees
The histogram represents the distributions of essay scores for high school sophomores and juniors in a contest. Which statements are true about the data used to create the histogram? Select three options.
Question options:
A. The mean is the best comparison of the measures of center.
B. The juniors tended to have higher essay scores than the sophomores.
C. The medians of both data sets are equal.
D. The interquartile range is the best comparison of the measure of variability.
E. A histogram is the best way to show that both distributions are nearly symmetric.
Answer:
B. The juniors tended to have higher essay scores than the sophomores.
C. The medians of both data sets are equal.
E. A histogram is the best way to show that both distributions are nearly symmetric.
Explanation:
A histogram is used to represent data in a bar graph like manner. In a histogram, the bars lie along the x axis, each within the range of intervals while the y axis is used to count the frequency of occurrence that determines the area of each bar in the graph. Using a histogram, we can find B, C, and E from the options given above.
Which expression is equivalent to this quotient?
[tex]\frac{1}{x+5} \\\frac{x+3}{5x+15}[/tex]
Which polynomial correctly combines the like term and express the given polynomial in standard form
Answer:
[tex]8mn^5 - 2m^6 + 5m^2n^4 - m^3n^3 + n^6 - 4m^6 + 9m^2n^4 - mn^5 - 4m^3n^3 = -6m^6 - mn^5 - 5m^3n^3 + 14m^2n^4 + 8mn^5 + n^6[/tex]
Step-by-step explanation:
Given
[tex]8mn^5 - 2m^6 + 5m^2n^4 - m^3n^3 + n^6 - 4m^6 + 9m^2n^4 - mn^5 - 4m^3n^3[/tex]
Required
Correctly combine the like terms
We have:
[tex]8mn^5 - 2m^6 + 5m^2n^4 - m^3n^3 + n^6 - 4m^6 + 9m^2n^4 - mn^5 - 4m^3n^3[/tex]
Collect like terms (in decreasing degrees of m)
[tex]- 2m^6 - 4m^6 - mn^5- m^3n^3 - 4m^3n^3+ 5m^2n^4 + 9m^2n^4 + 8mn^5 + n^6[/tex]
[tex]-6m^6 - mn^5 - 5m^3n^3 + 14m^2n^4 + 8mn^5 + n^6[/tex]
So:
[tex]8mn^5 - 2m^6 + 5m^2n^4 - m^3n^3 + n^6 - 4m^6 + 9m^2n^4 - mn^5 - 4m^3n^3 = -6m^6 - mn^5 - 5m^3n^3 + 14m^2n^4 + 8mn^5 + n^6[/tex]
Which of the two data sets shown in the box
plots below has the greater mean?
Answer:
Step-by-step explanation:
Remember that the mean is average
Ex. Set A
Add then divide by the 8
1. A zoo has an Asian elephant that weighs 6 tons. The elephant got sick and lost 1450 pounds. What is the elephants new weight in tons? 2. In a package of balloons, the ratio of purple balloons to green balloons is 3 to 4. What could be the total number of balloons in the package? 3. The ratio of red flowers to yellow flowers in a field is 5 to 7. If there are 392 yellow flowers in the field, how many red flowers are there?
Answer:
1. The new weight of elephant is 5.342 tones.
3. The number of red flowers are 280.
Step-by-step explanation:
1. weight of elephant = 6 tons
weight lost = 1450 pounds
As , 1 pound = 0.000454 ton
So, 1450 pounds = 0.658 ton
The new weight of elephant is
= 6 - 0.658 = 5.342 tones
3.
red flower to the yellow flower is 5 : 7
Number of yellow flowers = 392
Let the red flowers are R.
So,
[tex]\frac {5}{7}=\frac{R}{392}\\\\R = 280[/tex]
Can someone help me? It's urgent and thank you!
Answer:
1
----------
x+1
Step-by-step explanation:
2x+12
----------------
2x^2 + 14x+12
Factor
2(x+6)
-------------------
2(x^2+7x+6)
2(x+6)
--------------
2(x+6)(x+1)
Cancel like terms
1
-------------
(x+1)
Choose the methods of solving quadratic equations
Completing the Square
Factoring
Square Root Method
Area Formula
Simplifying
Cross Multiplication
Guess and Check
Quadratic Formula
Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers.
Solve this quadratic equation using the quadratic formula.
x2 + 8x - 5 = 0
Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers.
Solve this quadratic equation using the quadratic formula.
2x2 - 2x = 1
Answer:
Factoring square root method quadratic formula completing the square method . x1=3+(check)3 and x2=3-(check)3 .
Step-by-step explanation:
Have an amazing day<3 thirty percent chance this is right 70 it’s wrong
A factory puts 2,000 picture frames in each shipment. How many picture frames will the
factory put in 2 shipments?
picture frames
1 centimeter = 3 meters. A rectangle with length 7 centimeters and width 1.75 centimeters.
Gabriel planned a vegetable garden. Use the scale and the scale drawing to complete the following statements.
The length of the garden is
meters.
The width of the garden is
meters.
If the scale changes to 1 cm : 9 meters, the new length of the garden is
meters and the new width of the garden is
meters.
The new length of the garden is
times as long as the original length of the garden.
Answer:
The length if the garden is 21 meters.
The width of the garden is 5.25 meters.
If the scale changes to 1 cm : 9 meters, the new length of the garden is 63 meters and the new width of the garden is 15.75 meters.
The new length of the garden is 3 times as long as the original length of the garden.
Answer:
D/4 - 21
C/3 - 5.25
D/4 - 63
C/3 - 15.75
B/2 - 3
Step-by-step explanation:
find the perimeter, halla el perimetro
Answer:
28 cm
Step-by-step explanation:
The perimeter (P) is the sum of the sides
P = LE + EF + ( FG + HI + JK ) + ( GH + IJ + KL )
= 8 + 6 + 8 + 6
= 28 cm
Sketch the graph of y = (x + 3)2 – 4 and identify the axis of symmetry.
Answer: Thought I’d return the favor and help u with this question! But anyways, the axis of symmetry is at x = -3.
Explanatio: This can be found by looking at the basic form of vertex form:
y = (x - h)^2 + k
In this basic form the vertex is (h, k). By looking at what is plugged into the equation, it is clear that h = -3 and k = -4. This means the vertex is at (-3, -4).
It is a fact that the axis of symmetry is a vertical line of x = (vertex value of x). So we can determine that the axis of symmetry is at x = -3
i hope this helps u
Find the missing side!!
Answer:
the answer to the question is 12cm
Solve the system of equations.
3x + 4y + z = 3
4x + 3y + 32 - 4
5x+67+72-5
Answer:
First, we write the augmented matrix.
⎡
⎢
⎣
1
−
1
1
2
3
−
1
3
−
2
−
9
|
8
−
2
9
⎤
⎥
⎦
[1−1123−13−2−9 | 8−29]
Next, we perform row operations to obtain row-echelon form.
−
2
R
1
+
R
2
=
R
2
→
⎡
⎢
⎣
1
−
1
1
0
5
−
3
3
−
2
−
9
|
8
−
18
9
⎤
⎥
⎦
−
3
R
1
+
R
3
=
R
3
→
⎡
⎢
⎣
1
−
1
1
0
5
−
3
0
1
−
12
|
8
−
18
−
15
⎤
⎥
⎦
−2R1+R2=R2→[1−1105−33−2−9|8−189]−3R1+R3=R3→[1−1105−301−12|8−18−15]
The easiest way to obtain a 1 in row 2 of column 1 is to interchange
\displaystyle {R}_{2}
R 2
and
\displaystyle {R}_{3}
R 3
.
Interchange
R
2
and
R
3
→
⎡
⎢
⎣
1
−
1
1
8
0
1
−
12
−
15
0
5
−
3
−
18
⎤
⎥
⎦
InterchangeR2andR3→[1−11801−12−1505−3−18]
Then
−
5
R
2
+
R
3
=
R
3
→
⎡
⎢
⎣
1
−
1
1
0
1
−
12
0
0
57
|
8
−
15
57
⎤
⎥
⎦
−
1
57
R
3
=
R
3
→
⎡
⎢
⎣
1
−
1
1
0
1
−
12
0
0
1
|
8
−
15
1
⎤
⎥
⎦
−5R2+R3=R3→[1−1101−120057|8−1557]−157R3=R3→[1−1101−12001|8−151]
The last matrix represents the equivalent system.
x
−
y
+
z
=
8
y
−
12
z
=
−
15
z
=
1
x−y+z=8 y−12z=−15 z=1
Using back-substitution, we obtain the solution as
\displaystyle \left(4,-3,1\right)
(4,−3,1)
f(2) if f(x) = (x + 1)2.
Answer:
6
Step-by-step explanation:
f(2) = (2 + 1)2
(3)2
6
Answer:
6
Step-by-step explanation:
f(2) = (2+1)*2, f(2) = 3*2 = 6
can you help me with these questions
Answer:
Girls: 50
Boys: 36
A) 60°
Step-by-step explanation:
86-14=72
72÷2=36
Girls=36+14=50
Boys=36
115+115+70=300
360-300=60°
Answer:
36 boys and 50 girls
the remaining angle measures 60°
Step-by-step explanation:
x = boy count
x + 14 = girl
x + x + 14 = 86
2x + 14 = 86
2x = 72
x = 36
x + 14 = 50
36 boys and 50 girls
the 4 angles of a quadrilateral = 360°
115° + 115° + 70° + x = 360°
300 + x = 360°
x = 360 - 300
x = 60°
The remaining angle measures 60°
Solve the following system graphically.
y < - x
y =< x - 2
Upload one solution of the system and your graph
Answer:
a solution of the system is the point that satisfies both the equations
(1, -1) is a solution of the system
The masses to the nearest kilogram of nine men were:
75, 68, 78, 82, 85, 90, 88, 92, 76.
Calculate the mean mass
Answer:
82 kg
Step-by-step explanation:
To find the mean of a set of values, we must add them up and divide by the number of values.
Step 1, adding the values:
[tex]75+68+78+82+85+90+88+92+76=\\734[/tex]
Step 2, dividing by the # of terms:
There are 9 terms in total.
[tex]\frac{734}{9} =\\81.556[/tex]
To the nearest kilogram, we can round 81.556 into 82.
The mean mass of the 9 men was [tex]\fbox{82}[/tex] kg.
I hope this helps! Let me know if you have any questions :)
The weight Wkg of a metal bar varies jointly as it's length L and the square of it's diameter D mm. If W=140 when D =4 and L=54, find D interm of W and L
Answer:
D = [tex]\sqrt{\frac{216W}{35L} }[/tex]
Step-by-step explanation:
From the given question, the expression showing the relationship among the weight, length and diameter of the metal bar is;
W [tex]\alpha[/tex] L[tex]D^{2}[/tex]
W = kL[tex]D^{2}[/tex]
where k is the constant of proportionality.
When W = 140, D = 4 and L = 54, then;
140 = k(54)[tex](4)^{2}[/tex]
= 864k
k = [tex]\frac{140}{864}[/tex]
= [tex]\frac{35}{216}[/tex]
k = [tex]\frac{35}{216}[/tex]
⇒ W = [tex]\frac{35LD^{2} }{216}[/tex]
So that;
35L[tex]D^{2}[/tex] = 216W
[tex]D^{2}[/tex] = [tex]\frac{216W}{35L}[/tex]
D = [tex]\sqrt{\frac{216W}{35L} }[/tex]
The point (5,-12) lies on the terminal side of an angel theta in standard position. Find the exact value of cot theta. Express the answer as a fraction reduced to the lowest term
Answer:
[tex]cot\theta=-\frac{5}{12}[/tex]
Step-by-step explanation:
We are given that the point (5,-12) lies on the terminal side of an angle theta in standard position.
We have to find the exact value of [tex]cot\theta[/tex].
Let
Point (x,y)=(5,-12)
[tex]r=\sqrt{x^2+y^2}[/tex]
Substitute the values
[tex]r=\sqrt{5^2+(-12)^2}[/tex]
[tex]r=\sqrt{169}=13[/tex]
We know that
[tex]cot\theta=\frac{x}{y}[/tex]
Using values
[tex]cot\theta=-\frac{5}{12}[/tex]
Solve for x. Round to one decimal place.
I keep messing this one up and im timed
Answer:
x ≈ 16.5
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityTrigonometry
[Right Triangles Only] SOHCAHTOA[Right Triangles Only] tanθ = opposite over adjacentStep-by-step explanation:
Step 1: Define
Identify variables
Angle θ = 70°
Opposite Leg = x
Adjacent Leg = 6
Step 2: Solve for x
Substitute in variables [tangent]: tan70° = x/6[Multiplication Property of Equality] Multiply 6 on both sides: 6tan70° = xRewrite: x = 6tan70°Evaluate: x = 16.4849Round: x ≈ 16.5Please help me it urgent i need help i beg you guys!
Solve for y in the first equation.
If the profit is the difference between the revenue and the cost, what expression represents the profit? 3x – 260 3x + 140 5x – 260 5x + 140
Answer:
[tex]P =5x-260[/tex]
Step-by-step explanation:
Given
[tex]R = 3x^2 + 4x - 60[/tex] --- Revenue
[tex]C = 3x^2 - x + 200[/tex] --- Cost
Required
The expression for profit (P)
This is calculated as:
[tex]P =R - C[/tex]
So, we have:
[tex]P =3x^2 + 4x - 60 - (3x^2 -x+200)[/tex]
Open bracket
[tex]P =3x^2 + 4x - 60 - 3x^2 +x-200[/tex]
Collect like terms
[tex]P =3x^2 - 3x^2+ 4x +x- 60-200[/tex]
[tex]P =5x-260[/tex]
If the profit is the difference between the revenue and the cost, 5x – 260 expression represents the profit. Correct option is 3.
The profit is calculated by subtracting the cost from the revenue. In mathematical terms, the profit (P) can be represented as:
Profit (P) = Revenue - Cost
Among the given options:
1. 3x - 260
2. 3x + 140
3. 5x - 260
4. 5x + 140
We need an expression where the first term represents the revenue and the second term represents the cost, so that when we subtract the cost from the revenue, we get the profit.
Option 3, 5x - 260, fits this pattern:
- Revenue: 5x
- Cost: 260
When we subtract the cost from the revenue:
Profit (P) = Revenue - Cost = 5x - 260
So, option 3, 5x - 260, is the expression that represents the profit.
To know more about profit:
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Complete question is:
If the profit is the difference between the revenue and the cost, what expression represents the profit?
1. 3x – 260
2. 3x + 140
3. 5x – 260
4. 5x + 140
x^(2)-2x+7 I need to find Find the vertex and the axis of symmetry.
Answer:
Vertex: (1, 6)
Axis of symmetry: x = 1
Step-by-step explanation:
Question 1 of 10
Look at this table.
Hours of
Training
10
20
30
40
50
60
70
Monthly
Pay
1250
1400
1550
1700
1850
2000
2150
According to the table, how many hours of training would you
need to have a monthly pay of $2450?
Answer:
90 hours of training would you need to pay
Answer:
90hours
Step-by-step explanation:
Addition of 10 hours= Addition of 150$
an=a+(n-1)d
2450=1250+(n-1)(150)
120/15=n-1
8+1=n
n=9
and 9x10=90 (each n=10hours)
Thus:
B. 90 hours
Brianliest please
did I do this right??
Answer:
yes.
Step-by-step explanation:
it is correct
Answer: Yes, this is correct.
Not super urgent but need this simplified..
Answer:
bottom ans , because a⁶+a¹ = a⁷
also (•) this symbols related to x (times/multiply) and x is consider as +
Find the area of the trapezoid. Leave your answer in simplest radical form.
Answer:
[tex]Area = 52\sqrt3 \ ft^2[/tex]
Step-by-step explanation:
Area of trapezoid
[tex](\frac{a+ b}{2}) \times h[/tex] -----------( 1 )
We will split the trapezoid into Triangle and rectangle. To find the height and full length of base.
[tex]sin 60 = \frac{opposite}{hypotenuse}[/tex] [tex][ opposite \ in \ the \ equation \ \ is \ the \ height \ of \ the \ trapezoid ][/tex]
[tex]\frac{\sqrt3}{2} = \frac{opposite }{ 8}\\\\\frac{\sqrt3}{2} \times 8 = opposite\\\\4\sqrt3 = opposite[/tex]
Therefore, h = 4√3 ft
[tex]cos 60 = \frac{adjacent}{hypotenuse}[/tex] [tex]adjacent \ in \ the\ equation \ is \ the\ base \ of \ the \ triangle ][/tex]
[tex]\frac{1}{2} = \frac{adjacent}{hypotenuse}\\\\\frac{1}{2} \times 8 = adjacent\\\\4 = adjacent[/tex]
Therefore, a = 11 feet, b = 11 + 4 = 15 feet
Substitute the values in the Area equation :
[tex]Area = \frac{11 + 15}{2} \times 4 \sqrt3 = \frac{26}{2} \times 4\sqrt3 = 13 \times 4\sqrt3=52\sqrt3 \ ft^2[/tex]
