Step-by-step explanation:
We are to get the expression for the following statements;
1) The difference of nine times a number x and the quotient of that number and 5.
The product of nine and a number x is expressed as;
[tex]=9 \times x\\= 9x[/tex]
The quotient of that number and 5.
[tex]= \frac{x}{5}[/tex]
The difference between both expression;
[tex]9x - \frac{x}{5}[/tex]
Hence, the difference of nine times a number x and the quotient of that number and 5 is expressed as [tex]9x - \frac{x}{5}[/tex]
2) Eight more than the quotient of twelve and a number n
Quotient of twelve and a number n is expressed as:
[tex]\frac{n}{12}[/tex]
Eight more than the resulting function is;
[tex]\frac{n}{12}+8[/tex]
Hence eight more than the quotient of twelve and a number n is expressed as [tex]\frac{n}{12}+8[/tex]
3) The product of a number and the quantity 'six minus the number' plus the quotient of eight and the number.
Let the number be x:
six minus the number is expressed as;
[tex]6-x[/tex]
product of a number x and the quantity 'six minus the number is;
[tex]x(6-x)[/tex]
quotient of eight and the number is;
[tex]\frac{8}{x}[/tex]
Taking the resulting sum of the last two expression
[tex]x(6-x) + 8x[/tex]
Hence the product of a number and the quantity 'six minus the number' plus the quotient of eight and the number is expressed as;
[tex]x(6-x) + 8x[/tex]
4) Sum of three consecutive even integers. 2x + (2x + 2) + (2x + 4).
Let the first even number be 2x
The consecutive even numbers are gotten by adding 2 to the preceding number. The two consecutive even integers are 2x+2 and 2x+2+2
the sum of three consecutive even integers is expressed as;
[tex]= 2x +(2x+2)+(2x+2+2)\\= 2x+(2x+2)+(2x+4)[/tex]
Answer: 1st , 2nd, and 3rd!
Step-by-step explanation:
The height of Rachel’s door is 7 feet. Find the height of the door in inches.
Answer:
84.
Step-by-step explanation:
multiply the length value (the number) by 12 .
Huy rotated the figure 90 degrees counterclockwise about the origin. What are the new coordinates of point C?
(–5, –1)
(–1, 5)
(1, –5)
(5, –1)
Step-by-step explanation:
90° counterclockwise = 270° clockwise
Algebraic Representation : 270° clockwise turn,
( x , y ) ==> ( y , - x )
C ( 5 , 1 ) ==> C' ( 1 , - 5 )
~~
Factorise m^3+m
Factorise 25-y^2
Factorise x^2+3x-28
Answer:
1. m³ + m
= m( m² + 1) [ a² + b²]
= (a-b)² + 2ab
= m { (m –1)² + 2× m × 1 }
= m { ( m–1)² + 2m}
2. 25 – y² [ a² – b²]
= 5² – y²
= (5+y) (5–y)
3. x² + 3x –28 [ middle term factorisation]
= x² + 7x –4x –28
= x( x +7) –4 ( x + 7 )
= ( x–4) (x+7)
➊ Factorise :- [tex]\sf{m^{3} + m}[/tex]
Solution :-
[tex]→ \ \ \sf\purple{m^{3} + m}[/tex]
Factor out m from the expression[tex]→\:\:\bf\red{ m \times (m^{2} + 1)}[/tex]
______________________➋ Factorise :- [tex]\sf{25-y^{2}}[/tex]
Solution :-
[tex]→\:\:\sf\purple{25-y^{2}}[/tex]
Write the number in the exponential form with an exponent of 2[tex]→\:\:\sf\green{5^{2} - y^{2}}[/tex]
Using a²-b² = (a-b)(a+b), factor the expression[tex]→\:\:\bf\red{(5-y)\times (5+y)}[/tex]
______________________➌ Factorise :- [tex]\sf{x^{2}+3x - 28}[/tex]
Solution :-
[tex]→\:\:\sf\purple{x^{2}+3x - 28}[/tex]
Rewrite 3x as a difference[tex]→\:\:\sf\green{x^{2}+7x-4x-28}[/tex]
Factor the expressions[tex]→\:\:\sf\orange{x \times (x +7) -4 (x+7)}[/tex]
Factor out x + 7 from the expression[tex]→\:\:\bf\red{(x + 7)\times (x - 4)}[/tex]
HELP ME PLEASE ASAP!!!!!
Answer:
OK so your doing that lemmethink
Complete the statements below that show y = x2 + 2x - 1 being converted to vertex form.
Form a perfect-square trinomial.
y = x2 + 2x +
− 1−
We want to complete the steps to convert the given quadratic equation into vertex form.
Eventually we will get:
y = (x + 1)^2 - 2
Vertex form of a quadratic equation.
For a quadratic equation with the vertex (h, k), the vertex form is:
y = a*(x - h)^2 + k
Here we start with:
y = x^2 + 2x - 1
1) First, we complete the perfect-square trinomial, we need to add and subtract 1 to get that:
y = x^2 + 2x - 1 + 1 - 1
2) Now we rewrite the equation to be able of completing squares:
y = (x^2 + 2x + 1) - 1 - 1
y = (x^2 + 2x + 1) - 2
3) Now we complete squares
y = (x + 1)^2 - 2
And this is the equation in vertex form, where you can see that the vertex is the point (-1, - 2)
If you want to learn more about quadratic equations, you can read:
https://brainly.com/question/17177510
if 7 articles cost Rs 875 , how many more articles can be bought with Rs 1875
Answer:
15
Step-by-step explanation:
7 articles = RS.875
1 article = 875/7=RS.125
RS.1875= ? articles
we know,
RS.1875= 1875/125
=15articles
:15 articles can be bought with RS1875
pls help I'm failing
Answer:
graph Number three is correct
I believe that it would be the fourth answer, as a closed circle represents greater than/ less than or equal to.
Fraction decimals and percents
Answer:
Fraction: 44/100 or 22/50 or 11/25
Decimal: 0.44
Percent: 44%
Answer:
[tex]\frac{11}{25}[/tex] (as a fraction), 0.44 (as a decimal), or 44% (as a percent)
Step-by-step explanation:
Find the total squares. (100)
Find the filled squares. (44)
Divide the filled squares by the total squares. (44 ÷ 100)
Convert to fraction. ([tex]\frac{44}{100}[/tex])
Simplify ([tex]\frac{11}{25}[/tex])
Answer: [tex]\frac{11}{25}[/tex] or 0.44 or 44%
To convert to a decimal, divide 11 by 25. To convert to a percent (%) divide 11 by 25 and multiply by 100.
PLEASE ILL GIVE YOU BRAINLY AND 20 POINTS
Answer:
its 1, so where is the brainliest?
Answer:
To solve this, we will substitute 1/3 in for n in the equation.
f(1/3)=3*1/3
f(1/3)=1
Step-by-step explanation:
HOPES THIS HELPS
The Chicago Cubs Fan Club is printing t-shirts for 25 of its members. The printing company charges a certain amount for each shirt plus a setup fee of $15. If the t-shirt order costs a total of $452.50, how much does the company charge for each t-shirt?
Which equation represents the vertical line passing through (7,-3)?
Answer:
x = 7
Step-by-step explanation:
The equation of a vertical line has equation of the form
x = c
where c is the value of the x- coordinates the line passes through.
The line passes through (7, - 3) with x- coordinate 7 , thus
x = 7 ← equation of vertical line
What is the range of y = x2 – 1, given a domain of {-2,-1,0, 1, 2}?
A. R:{-5, -2, -1,0.3)
B. R: -1
O
C. R:y > -1
OD. R:{-1,0,3}
Answer:
D
Step-by-step explanation:
Basically, what the question is asking you to do is plug in each of the domain numbers (because domain represents X) and solve for y. Btw, after plugging in each domain to separate equations, if you end up with two numbers being the exact same, you only need to put one of them, hence why there are only 3 numbers in this answer. Hope with helps, any questions just ask me.
SegmentAB≅SegmentCD. AC = 6x-12 , BC = 4, and CD = 3x-2. Find AB and CD. (Geometry Proof)
Answer/Step-by-step explanation:
Given:
AC = 6x - 12
BC = 4
CD = 3x - 2
Required:
Determine length of AB and CD.
SOLUTION:
AC - BC = AB
(6x - 12) - 4 = AB (Substitution)
6x - 12 - 4 = AB
6x - 16 = AB
Since AB ≅ CD, therefore,
AB = CD
6x - 16 = 3x - 2 (Substitution)
Combine like terms
6x - 3x = 16 - 2
3x = 14
Divide both sides by 3
x = 4.7
Find AB
6x - 16 = AB
Plug in the value of x
6(4.7) - 16 = AB
28.2 - 16 = AB
12.2 = AB
Find CD
CD = 3x - 2
Plug in the value of x
CD = 3(4.7) - 2
CD = 14.1 - 2
CD = 12.1
Solve the equation by graphing. Select each exact root. If the exact roots cannot be found, select the consecutive integers between which the roots are located. If there are no roots, select no real solution.
x2−4x+2=0
Multiple select question.
A)
between 0 and 1
B)
1
C)
no real solution
D)
between 3 and 4
E)
3
Answer:
sorry i think a
Step-by-step explanation:
plz pzl plz help me and give 30
Answer:
x=6
Step-by-step explanation:
Clare volunteers at a local library during the summer. Her work includes putting labels on 750 books.
How many minutes will she need to finish labeling all books if she takes no breaks and labels 10 books a minute
Answer:
75 minutes
Step-by-step explanation: 750 divided by 10 is 75
7500 minutes or 125 hours..
Which system of inequalities with a solution point is represented by the graph?
y > 2x – 2 and y 2x – 2 and y 2x + 2 and y 2x + 2 and y < Negative one-halfx + 1; (–3, 1)
Answer:
d
Step-by-step explanation:
Answer:
d
Step-by-step explanation:
PLSSSSS HELPPPPPP MEEEE!!!!! I WILL MARK U!!!!!!!
Substitute the value of y in the equation as -1,
(-1)^2-31(-1)-17 = 1+31-17 = 15
I’ll Mark u BRILLIANT PLEASE HURRY the farmers’ market, heirloom tomatoes are sold by the pound. This graph shows the relationship between p, the weight of the tomatoes in pounds, and c, the total charge for those tomatoes.
Which of the following statements is true about this relationship?
A. The total charge for the tomatoes is proportional to the number of pounds of tomatoes purchased.
B. The total charge for the tomatoes is not proportional to the number of pounds of tomatoes purchased.
C. The total charge for the tomatoes has a nonlinear relationship to the number of pounds of tomatoes purchased.
D. The total charge for the tomatoes has no relationship to the number of pounds of tomato
2, 344 a whole number, rational number, or integer
Answer:
2,334is a rational number because it can be expressed as the quotient of two integers: 2,344÷ 1
Exactly 3/5 of the seats on a bus are occupied. What percent of the seats on the bus are occupied
A=8%
B=35%
C=60%
D=85%
Answer:
d
Step-by-step explanation:
Answer:
The answer is C, 60%
el valor que falta en la ecuacion 3+×=10
−4y−4+(−3) Please Help Brainlyest will be awarded
Answer: -4y - 1
Step-by-step explanation:
First you have to add 4 and -3 which equals 1 and since we cannot add -4y to the problem it with stay as -4y - 1
If you want to simplify, then the answer is -4y -7
Because -4 + (-3) means -4 -3 = -7
-4y -7
The seats in a small concert hall are divided into sections A and B. Section A tickets are $16, while section B tickets are $10. If 125 tickets are sold for a total of $1986, how many seats in each section are sold?
Answer:
76.3846153846
HELP ASAP PLEASE CHECK IT OUTTTTTT ILL MARK YOU BRAINLIEST
Use the equation to complete the table
y=2x+5
X: -2 : -1 : 0 : 1 : 2
Y: ? : ? : ? : ?
What is the slope [ ] and y-intercept [ ]of the equation?
What is the main difference between equations that have no solution and equations that have infinite number of solutions?
Answer:
Well no solution equations meaning it doesn't equal anything but
Infinite solutions means it can be any number according to the question
Step-by-step explanation:
Rachel finished a meal at a diner and received a bill for $10.99. She charged the bill along with a 15 percent gratuity to her credit card. What is the total amount she charged to her credit card? Round to the nearest cent if necessary.
$11.14
$12.64
$13.19
$13.73
Answer:
12.64 B
Step-by-step explanation:
Which image shows geometric shapes?
Image 1
Image 2
image 3
Image 4
A image 1
OB.image 2
OC image 3
OD. Image 4
Answer:
Image 1
Step-by-step explanation:
easy
Answer:
Image 1
Step-by-step explanation
I need help I need to turn this in
[tex]\frac{11}{8}[/tex]Answer:
55 in by 40 in
Step-by-step explanation:
The perimeter (P) of a rectangle is calculated as
P = 2l + 2w ( l is the length and w the width )
Here l = [tex]\frac{11}{8}[/tex] y and w = y with P = 190
2y + (2 × [tex]\frac{11}{8}[/tex] y ) = 190
2y + [tex]\frac{11}{4}[/tex] y = 190 ( multiply through by 4 to clear the fraction )
8y + 11y = 760 , that is
19y = 760 ( divide both sides by 19 )
y = 40
Thus l = [tex]\frac{11}{8}[/tex] × 40 = 11 × 5 = 55 in and w = 40 in
helpp pleaseee ????????
Answer:
the answer is 16
Step-by-step explanation:
the distance between QR and RS is the same so 7+7=14 QS =14 and 9-7=2 ST=2
14+2=16
QT=16