Answer:
20201
Step-by-step explanation:
Solve by completing the square:
x2 + 3x – 9 = 0
Answer:
Step-by-step explanation:
x = 9/5
The solution of the equation [tex]x^2 + 3x - 9 = 0[/tex] by completing the square would be [tex]x = \pm ( \dfrac{\sqrt{45}}{2} - \dfrac{3}{2} )[/tex].
Used the concept of a quadratic equation that states,
An algebraic equation with the second degree of the variable is called a Quadratic equation.
Given that the equation is,
[tex]x^2 + 3x - 9 = 0[/tex]
Now completing the square as
[tex]x^2 + 3x - 9 = 0[/tex]
Add and subtract by 9/4,
[tex]x^2 + 3x + \dfrac{9}{4} - \dfrac{9}{4} - 9 = 0[/tex]
[tex]x^2 + 3x + ( \dfrac{3}{2})^2 - \dfrac{9}{4} - 9 = 0[/tex]
[tex](x + \dfrac{3}{2} )^2 - ( \dfrac{9}{4}+ 9) = 0[/tex]
[tex](x + \dfrac{3}{2} )^2 - ( \dfrac{45}{4}) = 0[/tex]
[tex](x + \dfrac{3}{2} )^2 = ( \dfrac{45}{4})[/tex]
Taking square root on both sides,
[tex](x + \dfrac{3}{2} ) = \pm ( \dfrac{\sqrt{45}}{2})[/tex]
Therefore, the solution of an equation is,
[tex]x = \pm ( \dfrac{\sqrt{45}}{2} - \dfrac{3}{2} )[/tex]
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For the given equation, find the values of a, b, and c, determine the direction in which the parabola opens, and determine the y-intercept. Decide which table best illustrates these values for the equation:
y = x squared + 7 x
Answer:
a=1, b= 7, c=0
Opens upward since a is positive(meaning it has a minimum vertex)
Y-int: (0,0)
Step-by-step explanation:
y=[tex]x^{2}[/tex]+7x
In order to find, the y-intercept, x has to be 0, so plug in 0 for x
y=[tex]0^{2}[/tex]+7(0)
y=0
So the y intercept: (0,0)
The equation form a parabola that opens up and the y intercept is at y = 0. a = 1, b = 7 and c = 0
What is a quadratic function?A quadratic function is in the form:
y = ax² + bx + c
Given that:
y = x² + 7x, hence:
a = 1, b = 7 and c = 0
The equation form a parabola that opens up and the y intercept is at y = 0.
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The lower the average monthly temperature, the higher the monthly heating bill.
There is a low correlation between the average monthly temperature and the monthly heating bill.
There is no correlation between the average monthly temperature and the heating bill.
The lower the average monthly temperature, the lower the monthly heating bill.
During the 1920's there was an overproduction of consumer goods. What happened to the price of goods when demand did not increase?
Prices Increased
Prices decreased
Prices Skyrocketed
Prices stayed the same
Answer:
Prices decreased
Step-by-step explanation:
What happened to the price of goods when demand did not increase is prices decreased.
A parallelogram has an 8 inch base if the parallelogram has an area of 64 square inches, what is the height of the parallelogram?
Answer:
8 in
Step-by-step explanation:
The way you get the area of a parellelogram is the same as the way of a rectangle or square.
Answer: 8 in
Step-by-step explanation:
Height = area / base
= 64/8
= 8 inches
help plz. question is in photo.
Answer:
A.) [tex]10\sqrt{5}[/tex]
Step-by-step explanation:
I'll explain rn hold up
Answer:
A.) [tex]10\sqrt{5}[/tex]
Step-by-step explanation:
Fist simplify [tex]40\sqrt{40}[/tex] :
[tex]40\sqrt{40}\\\\40\sqrt{4}\sqrt{10}\\\\40*2\sqrt{10}\\\\80\sqrt{10}[/tex]
Now simplify [tex]4\sqrt{8}[/tex] :
[tex]4\sqrt{8}\\\\4\sqrt{4}\sqrt{2} \\\\4*2\sqrt{2}\\\\8\sqrt{2}[/tex]
Insert both into expression:
[tex]\frac{80\sqrt{10}}{8\sqrt{2}}[/tex]
Simplify:
[tex]\frac{10\sqrt{10}}{\sqrt{2}}[/tex]
Rationalize:
[tex]\frac{\sqrt{2}}{\sqrt{2}}*\frac{10\sqrt{10}}{\sqrt{2}}\\\\\frac{10\sqrt{20}}{\sqrt{4}}\\\\\frac{10\sqrt{20} }{2}[/tex]
Simplify:
[tex]5\sqrt{20}[/tex]
Convert to simplest radical form:
[tex]5\sqrt{4*5} \\\\5\sqrt{4}\sqrt{5}\\\\5*2\sqrt{5}\\\\10\sqrt{5}[/tex]
:Done
Any help someone...
(solve triangles using the law of sines)
Answer:
I can't help
Step-by-step explanation:
I can't help
When 40% of a number is added to twice the number, the result is 88. What is the number?
Answer:
36.67 or 36 and 2/3
Step-by-step explanation:
.4x + 2x = 88 divide by .4
x + 5x = 220 add like terms
6x = 220 divide by 6
x = 36.67 or 36 and 2/3
Rodney spun this five section spinner 80 times. The results of his spins are listed in the table below.
Identify the sample space using the first letter of the color in alphabetical order
{ , , , , }.
What is the theoretical probability for landing on blue?
%
What is the experimental probability for landing on yellow or white?
%
Answer:
Sample space: {B, G, R, W, Y}
20%
40%
Step-by-step explanation:
Theoretical probability of blue:
1/5 × 100 = 20%
Experimental probability (based on observation) of yellow or white:
(20+12)/80 × 100
32/80 × 100
40%
Examine these points on line u and line v.
Line u: (9,-8), (5,4)
Line v: (4,2), (7.-7)
How many points of intersection are there between line
u and line v?
zero
one
two
infinitely many
Answer:There are zero interception.
Step-by-step explanation:
The equation to Line U: is y=-3x +19 and the equation to line V is y=-3x +14
So as you can see ,the lines have the same slopes but different y-intercepts.This means the lines are going to be parallel when being graph.Parallel lines never cross or intersect so there is no points of intersection.
Answer:
A. zero.
Step-by-step explanation:
i took the assignment.
If each quadrilateral below is a rectangle find the missing measure in #5
Answer:
What do you mean by #5?
Step-by-step explanation:
How are the solution sets to s<3 and |s|<3 different ?
Answer:
The solution set for [tex]s<3[/tex] would be (-∞,3)
The solution set for [tex]|s|<3[/tex] would be (-3,3)
Step-by-step explanation:
The solution set for [tex]s<3[/tex] can be any number that is lower than 3.
When we have the inequality [tex]|s|<3[/tex], we need to rewrite this without the absolute values to find our answer
[tex]|s|<3[/tex]
[tex]s<[/tex] ± [tex]3[/tex]
This can be be split into [tex]s<3, s<-3[/tex]
But, there one thing that needs to be done to the inequality with the-3. As we multiplied it by a -1 to make it negative, we must reverse the sign of the inequality. This leaves us with [tex]s<3, s>-3[/tex]
Now, we can combine these to get one inequality
[tex]-3<s<3[/tex]
100 POINTS NEEDED RIGHT NOW! On a graph plot the points where the following function crosses the x-axis and y-axis g(x) = -5^x+5
Answer:
see below
Step-by-step explanation:
X-AXIS
when a graph intersects the x-axis, the y value is always 0.
Ex. Points (1,0), (-5,0), (-3,0), (6,0), etc. are all on the x-axis because y = 0.
to find where the graph crosses the x-axis, let y or g(x) = 0
0 = -5^x + 5 subtract 5 from both sides
-5 = -5^x if x is 1, that would produce -5 = -5
(1,0) x axis
Y-AXIS
when a graph intersects the y-axis, the x value is always 0.
Ex. Points (0, 1), (0, -2), (0, 3), etc. all lie on the y-axis because x = 0.
to find where teh graph crosses the y-axis, let x = 0
does the exponent "x" apply to (-5) or just 5?
[tex]-5^{x} or (-5)^{x}[/tex]
(-5)^0 + 5 any number with a 0 power is 1
1 + 5 = 6
(0, 6)
or -5^0 + 5
-1 + 5 = 4
(0, 4)
Answer:
The person above is correct. this is just confirmation
Step-by-step explanation:
How many servings of
cups are in 33 cups of ice cream?
Answer:
I am 99% sure its 33 servings
Step-by-step explanation:
because the question says that "how many servings of cups are in 33 cups".
(hopefully im right) and HOPEFULLY THIS HELPS. : )
HELP ME ASAP!!
Which of the following tables represents a function?
x 1 −1 4 −4
y 8 8 10 10
x 2 2 3 3
y 6 −6 7 7
x 5 −5 5 −5
y 10 11 12 13
x 2 2 7 7
y 2 3 4 5
Answer:
1) x 1 −1 4 −4
y 8 8 10 10
Step-by-step explanation:
x 1 −1 4 −4
y 8 8 10 10
When each input in set x has exactly one output in set y, the relation is a function.
ALL OF THESE ARE NOT FUNCTIONS !!!!!!!!!!
x 2 2 3 3 number 2 has 2 different outputs → not a function
y 6 −6 7 7
x 5 −5 5 −5 number 5 and -5 have 2 different outputs → not a function
y 10 11 12 13
x 2 2 7 7 2 and 7 have 2 different outputs → not a function
y 2 3 4 5
Answer:
A. x 1 −1 4 −4
y 8 8 10 10
Step-by-step explanation:
Solve this brain teaser, please!!!
Answer:
0 in the end they all burn out
Step-by-step explanation:
Answer: 10
Step-by-step explanation:
Toilet paper has been hard to find lately. You go to the store and are surprised to find that they have some toilet paper in stock. Now you have a different problem. There are two brands of toilet paper you can choose from, Roll A and Roll B. Which roll should you buy in order to get the most toilet paper? Round your answer to the nearest whole number.
Total Volume = (3.14) (2.5) ^2 (4.5) =
Subtract the middle rim.
V = (3.14 ) ( .75 ) ( 4.5 )
TOTAL VOLUME - MIDDLE PART VOLUME =
Answer:
77
Step-by-step explanation:
Total Volume = 88
Middle Part Volume = 11
Total - Middle = 77
What is the volume of the rectangular pyramid shown below?
9 in.
8 in.
7
in.
Answer:
Step-by-step explanation:
To calculate the volume of a pyramid with a rectangular base, find the length and width of the base, then multiple those numbers together to determine the area of the base. Next, multiply the area of the base by the height of the pyramid. Take that result and divide it by 3 to calculate the pyramid's volume!
I cant do this until I know What number is what.
Which is length?
Which is height?
and which is width?
Answer:
Step-by-step explanation:b
Find the volume of the following cone. Use 3.14 for π.
Question 2 options:
9847.04 cubic meters
39388.16 cubic meters
10257.33 cubic meters
41029.33 cubic meters
Answer:
A. 9847.04 cubic meters
Step-by-step explanation:
Answer:
B; 39388.16 cubic meters
Step-by-step explanation:
I think the following information will make things clearer:
The formula for finding the volume of a cone is V = πr²h/3:
We can substitute our lengths to find out the volume.
[tex]28^{2} = 784\\48 \: \div \: 3 = 16\\16\: \cdot \: 784 \: \cdot \: 3.14\\= 39,388.16[/tex]
Thusly, the volume of the cone is [tex]\boxed{39,388.16}[/tex].
Hope this helps!! ((:
pls helppp
The slope of the line segment joining the points (2, 3) and (2, -6) is undefined.
a)True b) False
Answer:
True
Step-by-step explanation:
The points (2,3) and (2,-6) are undefinable because it makes a vertical line. The slope cannot be defined.
in your class 6 students do not receive weekly allowance. 16 students receive $4 3 students receive $10 and 6 students receive $5. What is the mean weekly allowance?
Answer:
4
Step-by-step explanation:
Name three exponent rules
Answer:
Quotient rules
Derivative rule
Negative exponents
hope this helps
Provide the reflected ordered pair for each of the given ordered pairs. Reflect the ordered pair ( − 4 , 5 ) across the y-axis Reflect the ordered pair ( 0 , 3 ) across the x-axis
What is the value of b? -8/5b = 8
Answer:
-0.2 or -2/10
Step-by-step explanation:
hope this helps
What’s the answer
m 1 = 3x, m 2 = 4xº, m 3 = 2x, find x.
10
20
30
40
Answer:
x = 20
Step-by-step explanation:
assuming if this was a triangle
3x + 4x +2x = 180
9x = 180
180/9 = 20
Answer:
20
Step-by-step explanation:
You know that the angle measurements in a triangle add up to 180 degrees.
using the equation 3x+4x+2x= 180, you can find x
Simplify:
9x=180
x=20
Your answer is B) x = 20
Hope this helps!
Solve for s.
9s = –10 + 10s
s = __
Answer:
10
Step-by-step explanation:
9s=-10+10s
Add 10 on both sides,
9s+10=-10+10s+1
9s+10=10s
Subtract 9s on both sides,
9s+10-9s=10s-9s
10=s
Therefore,s=10
what is the sample size of a test containing 5 true or false questions probability
Answer:
20 to 25 questions would be the size of a math test
49 increased by twice a number m
Answer:
The third one I think
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
First -> twice m is -> 2m
Then
49 increased so -> 49+2m
What type of function is represented?
Answer:
b
Step-by-step explanation:
ITS B NOT C ITS B ITS B ITS B.
True or false.
If the dilated image is larger than the pre-image, then the scale factor of the dilation is less than 1.
Answer:
False
Step-by-step explanation:
In order for the dilated image to become larger, it has to have a scale factor that is more than one not less than one.
False, Because If the scale factor is greater than 1, the image is larger than the preimage.
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
We know that;
If the scale factor is between 0 and 1, the image is smaller than the preimage. Dilations with a scale factor between 0 and 1 are called reductions.
And, If the scale factor is greater than 1, the image is larger than the preimage. Dilations with a scale factor greater than 1 are called enlargements.
Thus, The given statement is false.
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