Answer:
The missing pieces should be after line 3.
9/4 = (x - 3)^2
<=> (3/2)^2 = (x - 3)^2
<=> x - 3 = 3/2 or x - 3 = -3/2
<=> x = 3 + 3/2 or x = 3 - 3/2
<=> x = 9/2 or x = 3/2
Hope this helps!
:)
Answer:
I think the missing steps are:
[tex]\frac{3}{2}=x-3[/tex]
and
[tex]\frac{9}{2}=x[/tex]
Step-by-step explanation:
[tex]-27=4x^2-24x[/tex]
First, factor 4 to make isolate [tex]x^2[/tex]
[tex]-27=4(x^2-6x)[/tex]
Now, divide by 4.
[tex]-\frac{27}{4}=x^2-6x[/tex]
Complete the square by adding [tex](\frac{b}{2})^2[/tex]
[tex](\frac{b}{2})^2-\frac{27}{4}=x^2-6x+ (\frac{b}{2})^2[/tex]
[tex](\frac{6}{2})^2-\frac{27}{4}=x^2-6x+ (\frac{6}{2})^2[/tex]
[tex](3)^2-\frac{27}{4}=x^2-6x+ (3)^2[/tex]
[tex]9-\frac{27}{4}=x^2-6x+9[/tex]
Solve the difference.
[tex]\frac{9*4-27}{4}=x^2-6x+9[/tex]
[tex]\frac{36-27}{4}=x^2-6x+9 \\\frac{9}{4}=x^2-6x+9[/tex]
Factor the equation.
[tex]\frac{9}{4}=(x-3)(x-3)[/tex]
Rewrite it;
[tex]\frac{9}{4}=(x-3)^2[/tex]
Extract the square root.
[tex]\sqrt{\frac{9}{4} }=x-3[/tex]
Take the square root of 9 and 4.
[tex]\frac{3}{2}=x-3[/tex]
Add 3.
[tex]\frac{3}{2}+3=x[/tex]
Do the sum
[tex]\frac{3+2*3}{2}=x\\\frac{3+6}{2}=x\\\frac{9}{2}=x[/tex]
convert 0.528 to a percent
Answer:
52.8%
Step-by-step explanation:
To convert a decimal to a percent, you simply need to multiply the decimal by 100. This is because a percent is a fraction of 100. Therefore, since 0.528*100=52.8, the answer is 52.8%. Hope this helps!
Percentage form of number 0.528 is,
⇒ 52.8%
We have to given that;
To convert 0.528 into a percent.
Since, A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.
Hence, We can change into a percent as,
⇒ 0.528
⇒ 0.528 x 100%
⇒ 52.8%
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Your friend says the solution to 7 x plus 17 x minus 6 equals 6 left parenthesis 4 x plus 6 right parenthesis is xequals42. Solve 7 x plus 17 x minus 6 equals 6 left parenthesis 4 x plus 6 right parenthesis. What was your friend's likely error?
Step-by-step explanation:
The question is not properly formatted, here is a better format
the expression
[tex]7x+17x-6= (4x+6)[/tex]
[tex]x=42[/tex]
To verify weather the above is correct we need to solve it our-self
[tex]7x+17x-6= (4x+6)[/tex]
Opening up the bracket in the left hand side we have
[tex]7x+17x-6= 4x+6[/tex]
Collecting like terms we have
[tex]7x+17x-4x= 6+6[/tex]
[tex]24x-4x= 12\\20x= 12[/tex]
Divide both side by 20 we have
[tex]x= \frac{12}{20} = \frac{6}{5} \\[/tex]
A CONE IS 1/3 OF A CYLINDER, SO THE VOLUME FORMULA IS 1/3 THE CYLINDER. True or false
Answer:
yes that's the answer because the volume of a cylinder= πr²h and the volume of a cone =1/3πr²h
Write down all the factors of 15.
Answer:
1,3,5,15
Step-by-step explanation:
Answer:
Step-by-step explanation:
Factors of 15:
1 , 3 , 5 , 15
?????????????????????????????????????????????????????????????
Answer:
u = 11
Step-by-step explanation:
6(u+5)=96
Divide both sides by 6
u+5=16
Subtract 5 from both sides
u=11
The variable, u, is equivalent to 11
Answer:
u=11
Step-by-step explanation:
If you multiply the parentheses by the outside number (6) it will bring you
6u+30=96 then take away 30 from each side to get
6u=66 last step is to divide by six
u=11
The graph of f(x) = x^2 was transformed to create the graph of g(x) = f(x) - 9. Which statement about the graphs is true?
A.The graph of g is a reflection of the graph of f across the x-axis.
B. The vertex of the graph of g is 9 units to the right of the vertex of the graph of f
C. The y-intercept of the graph of g is 9 units below the y-intercept of the graph of f.
D. The graph of g is a reflection of the graph of f across the y-axis.
Answer:
C. The y-intercept of the graph of g is 9 units below the y-intercept of the graph of f.
Step-by-step explanation:
It's a given that f(x) = x^2 so that means g(x) = f(x) - 9 means g(x) = x^2 - 9
in slope intercept form y = mx + b, b is the y-intercept
since g(x) is just f(x) with the y-intercept as -9 we know that the vertex of the parabola moves downwards 9 units
---
Hope this helps! :) If so, please mark my answer as brainliest
Function g(x) is the translation of function f(x). The y-intercept of the graph of g is 9 units below the y-intercept of the graph of f(x). The correct statement is C.
Given,[tex]f(x)=x^{2}[/tex].
[tex]g(x) = f(x) - 9.[/tex]
From the above functions it is clear that the equation for the graph of g(x) will be,
[tex]g(x)=x^{2} -9[/tex].
What is intercept?The equation [tex]y=mx+c[/tex] is the general equation of any straight line where m is the gradient of the line (how steep the line is) and c is the y -intercept (the point in which the line crosses the y -axis).
Since The y intercept of function f(x) is zero.
Hence in the function g(x), it is 9 units below the intercept of the function f(x). Thus the correct option is C.
For more details on y-intercept follow the link:
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1. Remember, evaluate means to plug in the value for the specified
variable.
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Evaluate: (x - 3)2 + 2x - 4 for x = 5
Answer:
Value: 10
Step-by-step explanation:
1. Let us first write down the expression, changing it a bit to our convenience: 2(x - 3) + 2x - 4
2. Substitute this value of x into the expression as such:
2(5 - 3) + 2(5) - 4
3. Now we can approach this first part of the problem in two ways:
Option 1. distribute the 2 to the 5 and then the -3, in 2(5 - 3)
Option 2. subtract 3 from 5, then multiply 2 by that value
4. Given such, let us try the 2nd option for simplicity, and carry on with our calculations: 2(2) + 2(5) - 4
5. Now apply algebra and solve this expression:
2(2) + 2(5) - 4 = 4 + 10 - 4 = 14 - 4 = 10
Find the surface area of the figure below
Answer:
696.8 mm^2
Step-by-step explanation:
Does this make sense?
The surface area of figure is 696.8[tex]mm^{2}[/tex].
To understand more, check below explanation.
Surface area of figure:The given figure is combination of a triangular shape and cuboid.
We have to find surface area of given figure.
The surface area of combined figure is summation of area of four triangle and area of cuboid excluding top of cuboid.
The base of triangle = 13mm
Height of triangle = 10.3 mm
Area of 4 triangle [tex]=4*\frac{1}{2}*13*10.3=267.8mm^{2}[/tex]
Surface area of cuboid excluding top is computed as,
Area = (2*13*5) + (2*13*5) + (13 * 13)
Area = 130 + 130 + 169 = 429 square millimeters.
Hence, surface area of figure = 267.8 + 429 = 696.8[tex]mm^{2}[/tex]
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Charlie has 8 flowers. 3 of them are yellow and the rest are pink. How many flowers are pink.
Answer:
5 flowers are pink
Step-by-step explanation:
Answer:
There are 5 pink flowers.
Step-by-step explanation:
8 flowers - 3 flowers = 5 flowers
hope this helps :)
Solve this Inequality, show work if you can, Thanks!!
Answer:
28 is less than or equal to x
Step-by-step explanation:
20 is less than or equal to x - 8
20 + 8 is less than or equal to x - 8 + 8
You add to cancel out the 8 to isolate x.
28 is less than or equal to x
HEEEEELP I IS TTTTTTIIIIIMMMMMEEEEEDDDD
What is the shape of the cross section of the figure that is perpendicular to the triangular bases and passes through a vertex of the triangular bases?
A triangular prism.
a parallelogram that is not a rectangle
a rectangle
a triangle that must have the same dimensions as the bases
a triangle that may not have the same dimensions as the bases
Answer:
b
Step-by-step explanation:
Answer:
I dink Bs
Step-by-step explanation:
Write the equation of a line that passes through the point (6,-3) and has a slope of -2
A. y= -2x+9
B. y= -3x+6
C. y= 6x-3
D. y=9x-2
Answer:
A
Step-by-step explanation:
You don't have to do anything, the only equation with a slope of -2 is A.
Pythagorean Theorem
Answer:
4320.43
Step-by-step explanation:
You need to figure out the Pythagorean Theorem and then use that answer to find the area. You will then get 4320.43.
Hope this helps.
Answer:
4320.43
Step-by-step explanation:
Now move points C, D, and E on the circle, and note the interior angle measurements for the quadrilateral in the table below. Notice that m∠B is predetermined, so set that angle measure first.
Answer:
Explanation:
Plato
evaluate each of the following 8!
show work please
Answer:
40320
Step-by-step explanation:
8! to --> 8*7*6*5*4*3*2*1
=40320
Simplify (2a^3 a^4)^5. Show all work.
Step-by-step explanation:
I hope it's correct.. And hopefully you understand those steps and also my horrible writing
x + 2y = 13
-x + y = 5
Answer:
x = 1; y = 6
Step-by-step explanation:
x + 2y = 13
-x + y = 5
Add the equations to eliminate x.
3y = 18
Divide both sides by 3.
y = 6
Now substitute y with 6 in the first equation.
x + 2(6) = 13
x + 12 = 13
Subtract 12 from both sides.
x = 1
Answer: x = 1; y = 6
What times 55 would equal 200
Answer:
The answer is 3, it's the only answer closest to 200
Step-by-step explanation:
[2x + 3y = 1][5x - 4y = 14]
Answer:
x = 2
y = - 1
Step-by-step explanation:
Please see the step by step solution in the picture attached below.
Hope it can help you. Have a nice day!
What is the medical term for infection of the gallbladder?
Answer:Cholecystitis
Step-by-step explanation:
True or false
The solution to the inequality 5x+2<175x+2<17 is x<3x<3.
Answer:
I believe it is true. So sorry if it's not.
Mitch runs 4 miles in 2x + 3 minutes, and Joy
runs 7 miles in 5x - 1 minutes. If each of them
ran for 1 minute, how many miles would they
run, combined (in terms of x)?
Expand. Your answer should be a polynomial in standard form. (x-4)(x-6)
Answer:
x2+10x+24
Step-by-step explanation:
The expanded expression in standard form is: [tex]x^2 - 10x + 24[/tex]
To expand the expression (x - 4)(x - 6), you can use the distributive property to multiply each term in the first parentheses by each term in the second parentheses. Let's do that step by step:
(x - 4)(x - 6)
Step 1: Multiply x from the first parentheses by both terms in the second parentheses:
[tex]x * x = x^2\\x * -6 = -6x[/tex]
Step 2: Multiply -4 from the first parentheses by both terms in the second parentheses:
-4 * x = -4x
-4 * -6 = 24
Now, put everything together: (x - 4)(x - 6) = [tex]x^2 - 6x - 4x + 24[/tex]
Combine like terms: [tex]x^2 - 10x + 24[/tex]
So, the expanded expression in standard form is:
[tex]x^2 - 10x + 24[/tex]
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How many solutions does this equation have?
0 = 2z − 2z
Answer:
infinitly many solutions
Step-by-step explanation:
0=2z-2z
2z-2z=0
so 0=0
infinitly many
The day after the British burned most of the government building in Washington, DC, something shocking happened: (A) President Madison surrendered, (B) the Americans counterattacked and retook the city, (C) a strong hurricane hit the city.
Answer:
C.
Step-by-step explanation:
Angle a =8x+6
Angle b= 4x+38
Solve for x and find the measure of angle b
Answer:
2(2x+19) would be your answer
what is the volume of a hemisphere with a radius of 6?
V
=
4
3
π
r
3
=
4
3
·
π
·
6
3
≈
904.77863
!!!!!TIMED REVIEW PLS ANSWER QUICKLY WILL LIST BRANLIEST!!!!
subtract six eighths minus two fourths
Answer:
1/4
That would be the answer because 6/8 minus 2/4 would equal 1/4
Subtract six eighths minus two fourths is the same as 6/8 - 2/4.
Find common denominators.
6/8
2/4 = 4/8
Subtract.
6/8 - 4/8
2/8
Simplify.
2/8 = 1/4
Therefore, the answer is 1/4
Best of Luck!
all sides of quadrilateral ABCD are tangent to circle p. What is the perimeter of the quadrilateral below?
Answer:
The perimeter of the quadrilateral is that to add all the sides and multiply it by 2 to get the quadrilateral which will be 65.4.
Step-by-step explanation:
Answer:
it equals 41.2 units
log x + Log(x+5) = log 6
Answer:
logx+log(x +1)= log6
Step-by-step explanation:
Please find attached photograph for your answer.
