i know the answers but my calculations won't provide them and i need to know what work to show
the answers are
a) x^2+7x+10
b) x^2-x-6
Answers
[tex]a)\\\\(x+2)(x+5)\\\\=x(x+5) + 2(x+5)\\\\=x^2+5x+2x+10\\\\=x^2+7x+10\\\\\\b)\\\\(x+2)(x-3)\\\\=x(x-3)+2(x-3)\\\\=x^2-3x+2x-6\\\\=x^2-x-6[/tex]
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1a) (x + 2)(x + 5)
⇒ (x × x) + (5 × x) + (2 × x) + (2 × 5)
⇒ (x²) + (5x) + (2x) + (10)
⇒ (x²) + (5 + 2)x + (10)
⇒ (x²) + (7)x + (10)
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1b) (x + 2)(x - 3)
⇒ (x × x) + (-3 × x) + (2 × x) + (2 × -3)
⇒ (x²) + (-3x) + (2x) + (-6)
⇒ (x²) + (-3 + 2)x + (-6)
⇒ x² + (-1)x - 6 = x² - x - 6
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Related Questions
A circular sinkhole has opened near an intersection. The four corners of the intersection are occupied by a grocery store, a dollar store, a gas station, and a restaurant, and each corner contains part of the sink hole. The grocery stores property has 2/3 of the angle in the intersection at the dollar store has, but has 5° more of the sinkhole edge to stabilize. The gas station has the same angle on the intersection at the dollar store and 88° more edge To stabilize. What is the measure of the arc of the sinkhole that falls within the restaurants property?
Answers
The measure of the arc of the sinkhole that falls within the restaurants property is -21°
Measure of angles subtendedLet x be the angle at the dollar store at the intersection
Now the angle of the grocery store at the intersection, y is 2/3 that of the dollar store. So, y = 2x/3
Since both x and y are supplementary,
x + y = 180°
x + 2x/3 = 180°
5x/3 = 180°
x = 180° × 3/5
x = 36° × 3
x = 108°
Angle subtended by gas station at sinkholeThe gas station has the same angle at the intersection but has 88° more of the sinkhole edge to stabilize. So, the angle the gas station store subtends at the sinkhole is z = x + 88°
Angle subtended by grocery store at sinkholeAlso, since the grocery stores property has 2/3 of the angle in the intersection at the dollar store has, but has 5° more of the sinkhole edge to stabilize. The angle the grocery store subtends at the sinkhole is k = y + 5° = 2x/3 + 5°
Measure of arc subtented by restuarantLet k' be the angle subtended by the restuarant at the sinkhole.
Since the sinkhole is a circle, we have that
x + z + k + k' = 360°
x + x + 88° + 2x/3 + 5° + k' = 360°
8x/3 + 93° + k' = 360°
8x/3 + k' = 360° - 93°
8x/3 + k' = 267°
So, making k' subject of the formula, we have
k' = 267° - 8x/3
Substituting the values of the variables into the equation, we have
k' = 267° - 8 × 108°/3
k' = 267° - 288°
k' = -21°
So, the measure of the arc of the sinkhole that falls within the restaurants property is -21°
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Find the vertex of this parabola:
y = -x2 + 6x – 15
Answers
[tex]y = - x {}^{2} + 6x - 15[/tex]
[tex]y {}^{ \gamma } = - 2x + 6[/tex]
[tex]y {}^{ \gamma } = 0[/tex]
[tex] - 2x + 6 = 0[/tex]
[tex] - 2x = - 6[/tex]
[tex]2x = 6[/tex]
[tex]x = 3[/tex]
Substitute x=3 in y=-x²+6x-15[tex]y = - (3) {}^{2} + 6(3) - 15[/tex]
[tex]y = - 9 + 18 - 15[/tex]
[tex]y = - 9 + 3[/tex]
[tex]y = - 6[/tex]
Vertex: (3,-6)
[tex]==============================[/tex]
In order to find the vertex of a parabola, we use the following formula:
[tex]\mathfrak{\displaystyle\frac{-b}{2a} }[/tex]
Please remember that a parabola looks like this:
[tex]\tt{y=ax^2+bx+c}[/tex]
Now you know what a and b stand for.
In this case, a = -1, and b is 6:
[tex]\mathfrak{\displaystyle\frac{-6}{2(-1)} }[/tex]
Simplify:
[tex]\mathfrak{\displaystyle\frac{-6}{-2}}[/tex]
[tex]\mathfrak{3}\\=======================================[/tex]
Notes:Hope everything is clear.Let me know if you have any questions!Enjoy your day!Always remember: Knowledge is Power :)Answered by[tex]\mathcal{DiAmOnD}\\\tt{A~Creative~Helper}}}}[/tex]
solve ~
[tex]x {}^{2} - 5x + 6 = 0[/tex]
don't spam .-.
thankyou ~
Answers
Δ = (-5)² - 4*1*6 = 25 - 24 = 1 = 1²
x' = (5 + 1) / (2*1) = 6/2 = 3
x" = (5-1) / (2*1) = 4/2 = 2
2 solutions : 2 and 3
x² - 5x + 6 = (x - 2) (x - 3)
Rewrite the expression x -3/11
in radical form.
Answers
Answer:
11x-3
11
Step-by-step explanation:
and that's the answer
Vocabulary
1. Volume: A measure of ________ occupied by a __________-________________ figure.
1. Base: The __________ on which an object _______.
1. Height: The ______ distance from top to bottom, creates a ___-degree angle with the base.
1. Inverse Operation: The ________ of a math operation; the opposite of addition is ________ and the opposite of multiplication is ________.
1. Diameter: A ________ line going from one side of a ______ to the other through the _______.
1. Radius: The distance from the ______ to the ______ of a ______; _____ of the diameter.
Volume of a Cylinder
A ____________ is a _____________________ object with a _________________ base and top.
To find the ____________ of a ______________ we use the following formula:
Answers
Answer:
Step-by-step explanation:
. Volume: A measure of _space occupied by a _three dimensional _ figure.
1. Base: The surface on which an object stands on.
1. Height: The _vertical distance from top to bottom, creates a _90° degree angle with the base.
1. Inverse Operation: The opposite of a math operation; the opposite of addition is subtraction and the opposite of multiplication is division.
1. Diameter: A straight line going from one side of a point on a circle to the other through the _center.
1. Radius: The distance from the center to the point of a circle;or half of the diameter.
Volume of a Cylinder
A cylinder is a three dimensional object with a circular base and top.
To find the volume of a cylinder we use the following formula:πr²h
Mr. Bartley is taking the theater club on a field trip to see the musical wicked. The school treasurer asked mr. Bartley for the groups total ticket cost. He wrote the following cost function for the school treasurer: total cost = 52(25+2)
Which of the following statements could describe the cost function? Select all that apply
Tickets cost $52 each, and there are 25 students and 2 teachers going n trip
Tickets cost $25 and each person must pay $2 for the bus. There are 52 people going
Answers
Mr. Bartley expression of the ticket cost function is an illustration of equations
The true statement is (a) Tickets cost $52 each, and there are 25 students and 2 teachers going n trip
How to determine the true statement?The equation of the total cost is given as:
Total Cost = 52 * (25 + 2)
The above can be rewritten generally as:
Total Cost = Cost per each * (Student + Teachers)
By comparison, we have:
Cost per each = $52
Students = 25
Teachers = 2
Hence, the true statement is (a) Tickets cost $52 each, and there are 25 students and 2 teachers going n trip
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Riley tried the following homework question:
On July 1st, the billing date, Jenson's American Express credit card account had a balance of $375.80. The transactions during the
month of July were:
July 5 Payment made $150.00
July 10 Dinning
$74.35
July 18 Car repair
$123.50
July 28 Groceries
$142.50
The card has a low-interest rate of 1.3% per month. What is the balance due on August 1st?
The instruction hinted that "to find the balance due, you need to calculate the Average Daily Balance (ADB)."
So Riley made a running balance table and got ADB = 372.08, finance charge = 4.84, and Riley wasn't sure what to do next to answer
the final question "balance due on August 1st"? Please make a running balance table to show the ADB Riley got, and further explain
how to find the final balance on August 1st. What is the balance due on August 1st? Be specific with your answer.
Answers
Answer:
her balance aka ADB would be 372.08
The length of the base of an isosceles triangle is x. The length of a leg is 3x−6. The perimeter of the triangle is 65. Find x.
Answers
Answer:
x = 11
Step-by-step explanation:
Hello!
In an isosceles triangle, the two legs are congruent by the property Base angle Theorem. It is isosceles when both angles on the base are congruent.
So, since the base is x, and the measure of one leg is 3x - 6, we know that the other leg is also 3x - 6 in length.
The equation for perimeter is : leg + leg + base = Perimeter
We can plug in 65 for the perimeter because it's given
Solve for x:
x + 3x - 6 + 3x - 6 = 657x - 12 = 657x = 77x = 11The value of x is 11.
Solve for x. Round all answers to the nearest tenth.
11
11.7
10.2
11.9
Answers
11.9 - last one
Step-by-step explanation:
Adjacent + hypotenuse = Cos / Cah
Cos32 = x/14
x14
11.87... = x
So, 11.9 to nearest tenth
Hope this helps!
i really need actual help on this asap
Answers
On the bisector place a point F
Join F to both D and E to form the triangle
Use the net to determine the total surface area.
Question options:
A. 48 cm2
B. 132 cm2
C. 84 cm2
D. 120 cm2
Answers
What is the slope of the line that passes through the points (-10, 9) and (−10,18)?
Answers
Answer:
9
Step-by-step explanation:
the equation for the line should be:
y=9x-10
The slope of the line that passes through the point (−10,9) and (10,18) is undefined.
What is the Point-slope form?The equation of the straight line has its slope and given point.
If we have a non-vertical line that passes through any point(x1, y1) and has a gradient m. then general point (x, y) must satisfy the equation
y-y₁ = m(x-x₁)
We need to find the slope of the line that passes through the point (−10,9) and (10,18)
Where x₁ - x coordinate, y₁ - y coordinate, m - slope
Slope: (18 - 9) / ( -10 + 10)
m = 9/0
So, the slope is undefined.
Hence, the slope of the line that passes through the point (−10,9) and (10,18) is undefined.
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Four-sevenths of the people in a room are seated in seven-eighths of the chairs. The rest of the people are standing. If there are 8 empty chairs, how many people are in the room?
Answers
Answer:
147
Step-by-step explanation:
4/7 people in chairs
7/8 of chairs, rest are standing
8 empty chairs
empty chairs = 1/8
full chairs = 8 x 8
7/8 = 64.
4/7 = 64
1/7 = 64 / 4
1/7 = 21
7/7 = 21 x 7
7/7 = 147
There are 147 people in the room.
There are 147 people in the room.
The given is,
Four-sevenths of the people in a room are seated in seven-eighths of the chairs.
The rest of the people are standing.
there are 8 empty chairs, how many people are in the room in a room are seated in seven-eighths of the chairs.
The rest of the people are standing.
We have to determine there are 8 empty chairs, how many people are in the room.
Four-sevenths of the people.
What is the standard form of the Four-sevenths?4/7 people in chairs.
7/8 of the chairs, rest are standing
The 8 empty chairs,
The empty chairs = 1/8
The full chairs = 8 x 8
7/8 = 64.
4/7 = 64
1/7 = 64 / 4
1/7 = 21
7/7 = 21 x 7
7/7 = 147
There are 147 people in the room.
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Determine if the expression 5r^4 - 4r^4 s^5 is a polynomial or not. If it is a polynomial,
state the type and degree of the polynomial.
Answers
Answer:
Step-by-step explanation:
It is a polynomial. A polynomial must have the following properties (among others).
the power must be an whole number.It cannot have a minus power.It can have more than one variable.Degree: So for this example the degree is 4 + 5 = 9. Derived from 4r^4 s^5
There is one isolated - sign with 2 terms on either side of the minus sign.
Type: It is a binomial
A ladder reaches a window 30ft above the ground and the foot of the ladder is 16ft from the wall.How long is the ladder?
Answers
A linear function has a y-intercept of 10 and a slope of . What is the equation of the line?
Answers
You forgot to include your slope but it should just follow the form y= mx+ b. where m is your slope and b is your y-intercept.
help and walk me thru pleasee
Answers
Answer:
Your answer is 63
Step-by-step explanation:
First lets find the area of the rectangle:
To find the area of a rectangle your multiply the length by the width. In this case it is 5 and 9 so..
5 x 9 = 45
Now to find the area of the triangle:
Formula for triangle: 1/2(bh)
9 is your height to find the base subtract 5 from 9:
9 - 5 = 4
Now divide that by 2:
4 / 2 = 2
2 is your base
Now we know the base and height solve:
1/2(2 x 9)
1/2(18)
18 / 2 = 9
multiply 9 by 2
9 x 2 = 18
Now add your areas to find the final area:
45 + 18 = 63
suppose that a movie rental company supervid charges a $30 subscription fee and $1.5 per movie. lets say that another company megawatch charges $100 subscription fee but only $0.90 per show. what are the cost functions for each company's subscription plan.
Answers
Answer:
the first on is y=30+1.5x and megawatch is y=100+0.90x
Step-by-step explanation:
Aidan earned a total of $117 in one week. His babysitting job pays him $15 per hour. His after-school job at a barber shop pays him $9 per hour. He worked a total of 9 hours that week. The system of linear equations represents this situation, where x represents the number of hours Aidan spent babysitting and y represents the number hours he worked at the barber shop.
x + y = 9
15x + 9y = 117
How many hours did Aidan work at each job?
Answers
The hours worked at the babysitting job is 6 hours.
The hours worked at the barber shop is 3 hours.
What are the hours worked at the babysitting job?
Given the two linear equations:
x + y = 9 equation 1
15x + 9y = 117 equation 2
Multiply equation 1 by 9
9x + 9y = 81 equation 3
Subtract equation 3 from 1
36 = 6x
x = 6
What are the hours worked at the barber shop?
Substitute for x in equation 1
6 + y = 9
y = 9 - 6
y = 3 hours
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A={ 0,1,3,5,6}; B={1,2,3,7} draw the venn diagram of AUB Writ
Answers
Answer:
Here,
n(A)={0,1,3,5,6}
n(B)={1,2,3,7}
n(AUB)=?
we know that,
AUB={0,1,2,3,5,6,7}
Step-by-step explanation:
is it okay ?
hopefully it works <3 ❣️
Can anyone help me on this question?
Answers
Simplify.
3t-t•t•t+3(-2t)+t
A. -1- 24
B. 1-24
C. -51
D. -70
Answers
Answer:
3t - t.t.t +3(-2t) + t
3t - t³ - 6t + t
3t - 6t + t - t³
-2t - t³
Option A is correct
There are 12 cats and 8 dogs
Answers
Answer:
isn't the answer 12/20
add the number of pets to make 20
then there are 12 cats
as a fraction
12/20
i need help pleasse
Answers
I don’t know if this is correct or not
The statement "7 is 21 less than 28" is interpreted 7 = 21 - 28.
Answers
it's interpreted as 28 - 21 = 7
what is the intial value of the function f(x)=3{5/4}^x
Answers
Answer:
3
Step-by-step explanation:
The "initial value" of a function is the value when the independent variable is zero.
f(0) = 3(5/4)^0 = 3×1 = 3
The initial value of the function is 3.
The area of the polygon shown in the figure is _______.
Answers
Can yall help me with the answers?
Answers
Answer:
Number 3 is B
Step-by-step explanation:
B is number 3
Answer:
Lakaka 1 by Lakaka 1 vx wfs
How do I use the intermediate value theorem to prove every polynomial of odd degree has at least one real root?
Answers
Answer:
Step-by-step explanation:
Wesley can use the equation y=3x to calculate how far he has walked, where y represents the number of miles walked, and x represents the number of hours walked. How many hours must Wesley walk to travel 16.5 miles?
Answers
16.5/3 = 5.5
Step-by-step explanation:
becuase he needs to walk 16.5 miles. and he can walk 3 miles per x(hour)
you need to devide distance by speed to get time.