Answer:
x = 1, x = 2
Step-by-step explanation:
Given
3x(x - 2) = x² - 4 ← distribute parenthesis on left side
3x² - 6x = x² - 4 ( subtract x² - 4 from both sides )
2x² - 6x + 4 = 0 ( divide through by 2
x² - 3x + 2 = 0 ← in standard form
Consider the factors of the constant term (+ 2) which sum to give the coefficient of the x- term (- 3)
The factors are - 1 and - 2 , since
- 1 × - 2 = + 2 and - 1 - 2 = - 3 , then
(x - 1)(x - 2) = 0 ← in factored form
Equate each factor to zero and solve for x
x - 1 = 0 ⇒ x = 1
x - 2 = 0 ⇒ x = 2
PLS HELP! Given the angles in the diagram below, what is m<2
 Which correlation best describes the data below.
no correlation
weak positive
strong positive
strong negative
Answer:
strong positive
Step-by-step explanation:
both variables are moving in the same direction and is nearly a line
As x increases, y increases. This has a strong positive correlation
calculate the area of shaded region
Answer:
528 cm squared
Step-by-step explanation:
A parallelogram (slanted shape at the bottom) is essentially the same area as a rectangle.
Therefore, both shapes have the same measurements.
Multiply the length and height of the rectangle to get its area: 22cm×12cm =264cm squared
Since the area of the rectangle corresponds geometrically to the area of the parallelogram, just multiply the area of the rectangle (264cm squared), by 2.
So 264×2, = 528cm squared
Ta da...
Which of the equations below represents à line perpendicular to the y-axis?
A.
y= 6x
B.
y=-6
C.
x = 6
D
y = x
Answer:
Its x=6
Step-by-step explanation:
I graphed it on mathaway
Write a slope-intercept equation for a line passing through the point (5,-5) that is parallel to the line x = -2. Then write a second equation for a line passing through the point (5,-5) that is perpendicular to the line x=-2.
Answer:
1. y=-2x+5
2. y=1/2x-7.5
Step-by-step explanation:
you plug in the cordinates for the y intercept and you already have the slope.
y=mx+b
m= slope which is -2
Guys please help me find the answer to this
Answer:
C
Step-by-step explanation:
The colony will follow an exponential equation. y(x) = 8000*(2)^(t/210). Plug in t=630 and you will get y(x) = 64000
PLEASE HELP! Simplify 2x^2+4xy+2y^2
Answer:
(x+y)(2x+2y)
Step-by-step explanation:
=2x^2 + 2xy + 2xy + 2y^2
=2x(x+y) + 2y(x+y)
=(x+y)(2x+2y)
3. In a school, there are 450 students in total. If 2⁄3 of the total students are boys, find the number of girls in the school. What percent of the students are boys? Show your work or explain how you calculated your answer
Answer:
150 girls
66.7%
Step-by-step explanation:
2/3 × 450 = 300 boys
450 - 300 =150 girls
second question:
300/450 × 100
=66.66666667
=66.7% Students are boys
There are 150 girls in the school, and approximately 66.67% of the students are boys.
What percent of the students are boyslet's break this down step by step:
1. Total number of students: 450
2. Boys make up 2/3 of the total students.
Number of boys = (2/3) * 450
= 300 boys
3. To find the number of girls, subtract the number of boys from the total:
Number of girls = Total students - Number of boys
= 450 - 300
= 150 girls
Now, let's calculate the percentage of students that are boys:
Percentage of boys = (Number of boys / Total students) * 100
= (300 / 450) * 100
= 66.67%
So, there are 150 girls in the school, and approximately 66.67% of the students are boys.
Learn more about percentage at https://brainly.com/question/24304697
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What kind of polygon is bounded by the line segments passing through points A, D, C, and E? What is the sum of the interior angle measures for this polygon?
Answer:
Step-by-step explanation:
Answer:
The polygon formed through points A, D, C, and E is a quadrilateral. The sum of the interior angle measures for any quadrilateral is 360°.
Step-by-step explanation:
Mike wants to buy a used car for $3200. He has$400 in savings and can save another $250 each month. How many months will it take him to be able to buy this car?
Answer:
12 months
Step-by-step explanation:
mental math
Solve this pair of simultaneous equations.
5x + 2y = 20
x + 4y = 13
X=
y=
Answer:
y= 2.5
x= 3
Step-by-step explanation:
multiply eqn 2 by 5
5x +20y =65
eqn 2 -1
20-2)y=65-20
18y=45
y=2.5
x+4×2.5 =13
x+10=13
x=3
the study of the organization and collection of data is know as?
Answer:
investigation isanswer
When you subtract two positive integers is the result always a positive integer
Sai vì số Nguyên dương nhỏ trừ số nguyên dương lớn bằng số nguyên âm
draw a figure for the triangle with ab
Step-by-step explanation:
figure for the triangle with ab
Question 31 (Essay Worth 5 points)
The position of an object at time t is given by s(t) = 1 - 12t. Find the instantaneous velocity at t = 2 by finding the derivative.
Answer:
-12
Step-by-step explanation:
ds/dt = d/dt ( 1-12 t)
ds/dt = -12
When t=2
ds/dt = -12
Natalie's family traveled 5 8 of the distance to her uncle’s house on Saturday. They traveled 2 3 of the remaining distance on Sunday. What fraction of the total distance to her uncle’s house was traveled on Sunday? Solve in your notes. Consider drawing a tape diagram.
Answer:
et - 2 2 = $. - wet 3XS = VŽ. 3. Phillip's family travel he distance to his grandmother's house on Saturday. They travel remaining distance on Sunday.
Step-by-step explanation:
welcome to brainly
I'LL GIVE BRAINLIEST !!! FASTER
Answer:
Option A
Step-by-step explanation:
angle a and angle are equal since the vertical lines are parallel and horizontal lines are not and a, b, c are corresponding angles
how do we know a given number in the radical is whether rational or irrational
number is described as rational if it can be written as a fraction (one integer divided by another integer). A number is irrational if it cannot be written as a fraction. The decimal form of an irrational number does not terminate or recur.
12 identical coins are placed in the cells on a chess board with 4 rows and 4 columns. If coins are not
allowed to be placed in the same cell, how many ways are there so that there are 3 coins in every rows
and columns?
Answer:
24 waysStep-by-step explanation:
If the coins are identical and not numbered, we need to find the number of patterns.
There are 4 rows and 4 columns. One cell remains empty in each row.
There are 4 options for the first row, 3 options for the second row, 2 options for the third row and 1 option for the fourth row.
The number of options reduces to avoid more than 1 empty cell in each row or column.
Number of options is:
4*3*2*1 = 24_________
[tex] \: [/tex]
4rows, and 4columns.
Soo :
= 4!
= 4 × (4 - 1) × (4 - 2) × (4 - 3)
= 4 × 3 × 2 × 1
= 24
17/7=3x + 2(5) / 3x - 2(5)
PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER!!
Outliers can cause the _________ to be misleading when summarizing a data set.
A. mean
B. interquartile range
C. all of these
D. median
Answer:
A. Mean
Step-by-step explanation:
Mean, because it's the average of the numbers and if one number's way off, it would throw the average off by a lot! I honestly forgot a bit about interquartile ranges, but it doesn't affect the median at all/have a very little effect so that's why it's not all of these. But mean is for sure!
I hope this helped! :D
3/5 of 1 hour is? pls give me the answer
1hr=60min
[tex]\\ \sf\longmapsto \dfrac{3}{5}\;of\;60min[/tex]
[tex]\\ \sf\longmapsto \dfrac{3}{5}\times 60[/tex]
[tex]\\ \sf\longmapsto \dfrac{180}{5}[/tex]
[tex]\\ \sf\longmapsto 36min[/tex]
Convert 75 mg into gram
Answer:
[tex]{ \tt{1 \: mg = 1 \times {10}^{ - 3} \: g}} \\ { \tt{75 \: mg = (75 \times 1 \times {10}^{ - 3} ) \: g}} \\ { \bf{ = 75 \times 10 {}^{ - 3} \: grams}} \\ { \bf{ = 0.075 \: grams}}[/tex]
How do I find the Derivative of a Function where the x is a number?
If I was to find d/dx g(1) for example, would I first find the value of the function g(x) at x=1 and then find the derivative of that which becomes 0 because the result would probably be a constant. Or do I first find the derivative of g(x) and then plug in x=1 to calculate it?
Thanks
Given a function g(x), its derivative, if it exists, is equal to the limit
[tex]g'(x) = \displaystyle\lim_{h\to0}\frac{g(x+h)-g(x)}h[/tex]
The limit is some expression that is itself a function of x. Then the derivative of g(x) at x = 1 is obtained by just plugging x = 1. In other words, find g'(x) - and this can be done with or without taking a limit - then evaluate g' (1).
Alternatively, you can directly find the derivative at a point by computing the limit
[tex]g'(1) = \displaystyle\lim_{h\to0}\frac{g(1+h)-g(1)}h[/tex]
But this is essentially the same as the first method, we're just replacing x with 1.
Yet another way is to compute the limit
[tex]g'(1) = \displaystyle\lim_{x\to1}\frac{g(x)-g(1)}{x-1}[/tex]
but this is really the same limit with h = x - 1.
You do not compute g (1) first, because as you say, that's just a constant, so its derivative is zero. But you're not concerned with the derivative of some number, you care about the derivative of a function that depends on a variable.
HELPPP PLZZZZ DUE SOON
Answer:
3rd option
Step-by-step explanation:
Given T is the midpoint of SU , then
ST = TU , that is
9x = 4x + 25 ( subtract 4x from both sides )
5x = 25 ( divide both sides by 5 )
x = 5
Then
ST = 9x = 9 × 5 = 45
the area of square is 64cm square .find its length
Answer:
8 cm
Step-by-step explanation:
Because A=a*a
Area equals length times length
So, 8 is the length
64 divided by some number must equal the exact same number. Let me show what I am talking about.
Our length is a. We multiply a times itself (because that's the formula for the square's area)
Does this number exist?
Yes, it does.
And it's a whole number.
And we know from our times tables that 8*8=64
Hope it helped you
Answer:
8 cm
Step-by-step explanation:
please mark me as brainliest
Find the missing side. Round your answer to the nearest tenth.
PLEASE HURRY!!
Answer:
x = 9.4m
Hope this helps...Have a good day!!
A rectangular swimming pool has length 15w - 1 feet and width 9w + 2 feet. Find the perimeter of the pool.
Answer:
48w +2
Step-by-step explanation:
Perimeter of a rectangle=2( length+width)
=2(15w-1+9w+2)
=2(24w+1)
=48w+2
A can do a piece of work in 3 days and B in 6 days andShyam in 12 days.In how many days will they finish it when both work at it.
Answer:
Step-by-step explanation:
= 1/3 + 1/6 + 1/12 (LCM 12)
= 4/12 + 2/6 + 1/12
= 6/12
= 1/2
Therefore 1/2 = 2 days
They will all work together and finish the job in 2 days
please click thanks and mark brainliest if you like :)
There are 18 girl in a class and boys in the class is 3:2. Find the number of boys.
Answer
12
Explanation
2xand 3x
let 3 be 3x
3x=18
X=18/3
X=6
now
2x=2multiply6
12
the number of boys is 12
