Factorise fully 2x2 – 8x
[tex]2x^2-8x=2x(x-4)[/tex]
Answer:
2x ( x - 4)
Hope that helps?
⦁ Solve for x: 3|x – 7| = 15
SHOW WORK
[tex]3|x-7| = 15\\\\\implies |x-7| =\dfrac{15}3\\\\\implies |x -7| = 5\\\\\implies x -7 = 5 ~~ \text{or}~ x - 7 = -5\\\\\implies x = 12 ~~\text{or}~~ x = 2[/tex]
Evaluate.
{3+[−5(2−4)÷2]}⋅3
−27
−13
18
24
2-4 is -2 and -5 times -2 is 10 divided by 2 is 5 and 5 +3 is 8. and 8 times 3 is 24. PEMDAS
Answer:
→24
Step-by-step explanation:
Evaluate: {3+[−5(2−4)÷2]}⋅3
= {3+[-5(2-4)÷2]}.3
= {3+[-5(-2)÷2]}.3
= {3+[10÷2]}.3
= {3+[10÷2]}.3
= {3+[10÷2]}.3
= {3+[10/2]}.3
= {3+[5]}.3
= {3+5}.3
= 8.3
= 8*3
= 24 Ans.
Given f '(x) = (2 - x)(6 - x), determine the intervals on which f(x) is increasing or decreasing. (2 points)
Decreasing (-∞, 2); increasing on (6, ∞)
Decreasing (2, 6); increasing on (-∞, 2) U (6, ∞)
Decreasing (-∞, 2) U (6, ∞); increasing on (2, 6)
Increasing (-∞, -2) U (-6, ∞); increasing on (-2, -6)
Answer:
Decreasing (2, 6); increasing on (-∞, 2) U (6, ∞)
Step-by-step explanation:
To determine where [tex]f(x)[/tex] is increasing or decreasing, we set [tex]f'(x)=0[/tex] and check for the intervals.
We see that [tex]f'(x)=0[/tex] when either [tex]x=2[/tex] or [tex]x=6[/tex]. Therefore, we'll need to check the intervals [tex](-\infty,2)[/tex], [tex](2,6)[/tex], and [tex](6,\infty)[/tex]
For the interval [tex](\infty,2)[/tex], we can pick [tex]x=0[/tex] . This means that[tex]f'(0)=(2-0)(6-0)=(2)(6)=12>0[/tex], showing that [tex]f(x)[/tex] increases on the interval [tex](-\infty,2)[/tex]
For the interval [tex](2,6)[/tex], we can pick [tex]x=4[/tex]. This means that [tex]f'(4)=(2-4)(6-4)=(-2)(2)=-4<0[/tex], showing that [tex]f(x)[/tex] decreases on the interval [tex](2,6)[/tex]
For the interval [tex](6,\infty)[/tex], we can pick [tex]x=7[/tex]. This means that [tex]f'(7)=(2-7)(6-7)=(-5)(-1)=5>0[/tex], showing that [tex]f(x)[/tex] increases on the interval [tex](6,\infty)[/tex]
Therefore, [tex]f(x)[/tex] is increasing on [tex](-\infty,2)\cup(6,\infty)[/tex] and is decreasing on [tex](2,6)[/tex].
the area of a rectangle and square are same . if area of the square is 900 cm² and length of the rectangle is 45cm find the perimeter of the rectangle.
Answer: 130cm
Let's think the width of the rectangle as, "x"
45*x= 900
x= 900/45
x= 20
45+45+20+20
= 130cm
100 points will award brainliest crown
Draw the image of EFG under the dilation with scale factor 3/2 and center of dilation (0, 0). Label the image E' F' G'
Answer:
Should be 3 units away from the picture
Step-by-step explanation:
I hope this helps! ;)
The coordinates of the image of EFG under the dilation with scale factor 3/2 and center of dilation (0, 0) are E(-3,3), F'(-3,-3) and G'(3,-3).
What is the dilation of the figure?Dilation of a figure, means the transformation of the figure. The factor by which the given figure dilated, called the scale factor of dilation.
The image of EFG under the dilation with scale factor and center of dilation has to be drawn.
The value of scale factor of dilation is 3/2.The center of dilation is at (0, 0).The coordinates or the triangle are E(-2,2), F(-2,-2) and G(2,-2). The new points after the dilation are,
[tex]E'(-2\times\dfrac{3}{2},2\times\dfrac{3}{2})=E'(-3,3)\\F'(-2\times\dfrac{3}{2},-2\times\dfrac{3}{2})=F'(-3,-3)\\G'(2\times\dfrac{3}{2},-2\times\dfrac{3}{2})=G'(3,-3)[/tex]
The dilated image of triangle EFG is attached below.
Thus, the coordinates of the image of EFG under the dilation with scale factor 3/2 and center of dilation (0, 0) are E(-3,3), F'(-3,-3) and G'(3,-3).
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= Homework: Mo...
Ben bowled 122 and 188 in his first two games. What must he bowl in his third game to have an average of at least 160?
HOM
Answer:
i think its 195 but i am not for sure correct me if i am wrong
Step-by-step explanation:
Help help again ..2 more :/ thank you again ..
3. Which of the following is a rational
number that is not an integer?
A-2
C 0
B -0.5
D 4
Step-by-step explanation:
-0.5 cause decimals and fraction are not included
factorise the quadratic expression
pls help me I'll give brainliest
x²+8x-48
[tex]x^2+8x-48\\\\=x^2 + 12x -4x -48\\\\=x(x+12) -4(x+12)\\\\=(x-4)(x+12)[/tex]
Please help me with this question and how to break even!
Answer:
The blogger needs at least 189subscribers to break even
2x-y=3
X+y=3
Slove equations algebraially
From a hot-air balloon, Mariana measures a 40° angle of depression to a landmark that's 1165 feet away, measuring horizontally. What's the balloon's vertical distance above the ground? Round your answer to the nearest hundredth of a foot if necessary.
Here is the set up:
Let h = balloon's vertical distance.
sin(40°) = h/1165
sin(40°)(1165) = h
748.847565
748.85 feet = h
Done.
The balloon's vertical distance above the ground is 1388.40 feet to the nearest hundredth.
What is division?The division in mathematics is one kind of operation. In this process, we split the expressions or numbers into the same number of parts.
Given:
From a hot-air balloon,
Mariana measures a 40° angle of depression to a landmark that's 1165 feet away, measuring horizontally.
Let h be the vertical distance.
Use tanθ = perpendicular / base
Here, perpendicular = 1165 feet and base = h and θ = 40°
Substituting the values,
tanθ = perpendicular / base
tan40° = 1165 / h
h = 1165 / tan40
h = 1165 / 0.839095
h = 1388.40059 feet.
h ≈ 1388.40 feet to the nearest hundredth.
Therefore, vertical distance is 1388.40 feet
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Compare the decimal by writing <,> or = on the space provided.
1). 501.019_______501.901
2). 65.561________65.651
3). 0.2134________0.03124
4). 0.500_________0.5
5). 0.004_________0.0004
•
•
•
•
•
•
•
pa answer Po please
Answer:
1. < 2. < 3. > 4. = 5. >
Step-by-step explanation:
9 X 19 + 2 X 57 - 75 = n
Answer:
210
Step-by-step explanation:
juss a fact
Answer:
210
Step-by-step explanation:
First you do 19 times 9 which is 171. Then you do 57 times 2 which is 114. Then you add 171 to 114 which gives you 285. Then you subtract 75 from it and that gives you 210
5c + 7c simplify fytdtdecxsts
Answer:
12c
Step-by-step explanation:
Note that when simplifying through adding or subtracting, the terms must have the same amount of the same variables to combine them.
In this case, all given terms have the same variable, denoted by c. Combine the given coefficients:
5c + 7c = 12c
12c is your answer.
~
Which algebraic sentence means "a number x plus 2 is at most 25"?
Answer:
x + 2 [tex]\leq[/tex] 25
Step-by-step explanation:
The given algebraic sentence means is x + 2 ≤ 25
What is Mathematical inequalities?In mathematics, an inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions.
ATQ
x + 2 ≤ 25
To learn more about inequalities from here
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The students at Vienna Elementary sold donuts every day at school for 6 months. The table below shows the earnings for the first 6 weeks. If the pattern continues, how much will the students make in week 8?
Pics here
↓
The student made $100 in week 8.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
Amount earned from the first week to 6 weeks.
110, 100, 90, 110, 100, 90
We see that,
Every 3 weeks the amount gets repeated.
So,
7th week = 110
8th week = 100
Thus,
The amount earned in week 8 is $100.
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2. Ramona spent 20 minutes on homework on Monday, 20 minutes on Tuesday,
40 minutes on Wednesday, 30 minutes on Thursday, and 0 minutes on Friday.
What is the mean number of minutes she spent on homework?
Answer:
Ramona spent 110 minutes on homework
Step-by-step explanation:
You want to add up all the minutes spent on homework altogether.
20 +20 = 40
40 + 40 = 80
80 + 30 = 110
110 + 0 = 110
So, Ramona spent a total of 110 minutes on homework. Hope this helps!
PLS HELP ME WITH GEOMETRY :0000
Answer:
GM = 18
Step-by-step explanation:
HJK is congruent to HKL (RHS congruency)
so, JK = KL
JK = 2
GHJ is congruent to MHL (SAS congruency)
so, GJ = LM
LM = 7
GM = 7 + 2 + 2 + 7 = 18
2 2/6 is equivalent to what?
I NEED HELP WITH THIS PLEASE HELP ME
Answer:
1a: f(x) = x³ -6x² +9x -4
1b: no breaks; the function is defined everywhere
2a: (-∞, 5]
2b: y = -3; y = -1
2c: x → -∞, y → -3; x → ∞, y → -1
Step-by-step explanation:
1A:The factored form of f(x) is ...
f(x) = (x -4)(x -1)²
f(x) = (x -4)(x² -2x +1) = x³ -2x² +x -4x² +8x -4
f(x) = x³ -6x² +9x -4
__
1B:The function h(x) is defined for all values of x to be either f(x) or g(x). The function f(x) is a polynomial function, so has no breaks in its domain. The function g(x) is defined for all values of x, so has no breaks in its domain.
There are no breaks in the domain of h(x).
__
2A:See the attachment for a graph.
-∞ < y ≤ 5 . . . . range of f(x)
__
2B:The asymptote as x → -∞ is the asymptote of the exponential function. The exponential term has an asymptote of y=0, but shifting it down 3 units means the asymptote is 0 -3:
x → -∞, y → -3 . . . . asymptote is y = -3
The asymptote as x → ∞ is the asymptote of the rational expression. That is the ratio of the leading terms: -x²/x² = -1.
x → ∞, y → -1 . . . . asymptote is y = -1
__
2C:See part B.
Which of the following integers is less than -23?
a) o
b) -13
c) 13
d) -25
Answer:
i think d) -25 is answer
Step-by-step explanation:
good luck
Answer:
d) -25
Step-by-step explanation:
Because -25 is less than -23 . as it is negative integers
I will give brainliest
Answer:
Equations 1 & 3 are correct.
Explanation:
Equation 2's actual answer is -8, and Equation 4's actual answer is positive 7.
Answer:
1 and 3 are correct
Step-by-step explanation:
HELP ME! I WILL GIVE BRAINLIEST
Answer:
#1 matches with the pizza scenario
#2 matches with the present scenario
#3 matches with the Sarah scenario
Step-by-step explanation:
Look for keywords at the end of the questions and if they go hand and hand (such as in 7 hours / yield 20 servings) then they go together as a pair
Save You More offers a buy one/get one free item each week. Customers who purchase only one of the items must pay the regular
price. The limit is one deal per customer. Is the relation (# sale items purchased, price) a function? Why or why not?
A)
B
It is a function because the input can be either 1 or 2 items, but the output
will always be the same price.
It is not a function because the input can be either 1 or 2 items, but the
output will always be the same price.
It is a function because the input will always be the same price, but the
output can be either one or two items.
D
It is not a function because the input will always be the same price, but the
output can be either one or two items.
Answer:
It is a function because the input can be either 1 or 2 items, but the output
will always be the same price.
Step-by-step explanation:
Answer:
A. It is a function because the input can be either 1 or 2 items, but the output
will always be the same price.
Step by Step Explanation :
A function is for every single input but the output is always the same. So, let's make a scenario. If someone bought ' 1 ' then paid the marked cost and if you bought 2 then paid the marked cost BUT with " One Buy One Free. " So, it is in fact a function.
2) 13 years back my mother age was thrice my age and 2 years back she was twice my age then find a) The present age of my mother b) my present age
Answer:
age of the Father is 46 and age of the son is 24
Step-by-step explanation:
13 years ago x was thrice y's age, or
(x - 13) = 3(y - 13); or
x - 3y = -26
2 years ago, x was twice y's age, or
(x - 2) = 2 (y - 2); or
x - 2y = -2
Subtracting equation 1 from 2:
x - 2y - (x - 3y) = -2 - (-26)
or y = 24
Please help me
I don’t know what to do for this and it’s really confusing
Answer:
Midpoint: (0, 5/2) or (0, 2.5)
Step-by-step explanation:
The diagonal BD is made of the points B(4,7) and D(-4,-2)
to find the midpoint of these points you add the two x coordinates and divide by two --> (4+-4)/2=0/2=0
Then you add the y coordinates and divide by 2 --> (7+-2)/2=5/2 or 2.5
Then you've got your midpoint.
hopefully I've understood the question correctly - hope this helps!
Q.
5! = ?
________________
Example :
4! = 4 × 3 × 2 × 1 = 24
Answer:
5!=5*4*3*2*1=120
Step-by-step explanation:
n!=(n)(n-1)(n-2)...(3)(2)(1)
5!=5×4×3×2×1
=20×3×2×1
=60×2×1
=120×1
=120
Choose the symbol that correctly compares the fractions below.
Answer:
[tex] \frac{2}{5} > \frac{1}{6} [/tex]
Answer: B. >
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