Answer:
[tex]\mathrm{The\:solutions\:to\:the\:quadratic\:equation\:are:}[/tex]
[tex]x=\frac{1}{8},\:x=1[/tex]
Step-by-step explanation:
Given the equation
[tex]8x^2-9x=-1\:\:[/tex]
Add 1 to both sides
[tex]8x^2-9x+1=-1+1[/tex]
[tex]8x^2-9x+1=0[/tex]
as
[tex]\left(8x-1\right)\left(x-1\right)=8x^2-9x+1[/tex]
so the equation becomes
[tex]\left(8x-1\right)\left(x-1\right)=0[/tex]
Using the zero factor principle:
[tex]\:If}\:ab=0\:\mathrm{then}\:a=0\:\mathrm{or}\:b=0\:\left(\mathrm{or\:both}\:a=0\:\mathrm{and}\:b=0\right)[/tex]
so
[tex]8x-1=0\quad \mathrm{or}\quad \:x-1=0[/tex]
solving
[tex]8x-1=0[/tex]
[tex]8x=1[/tex]
[tex]\frac{8x}{8}=\frac{1}{8}[/tex]
[tex]x=\frac{1}{8}[/tex]
also solving
[tex]x-1=0[/tex]
[tex]x=1[/tex]
[tex]\mathrm{The\:solutions\:to\:the\:quadratic\:equation\:are:}[/tex]
[tex]x=\frac{1}{8},\:x=1[/tex]
Please help as fast as you cannn
Answer:
-43 < -35
(Negative 43 is less than negative 35).
Solve for g.!!!!!!!!!!!!!!
2g= w
Answer:
Step-by-step explanation:
Simplifying
2g = W
Solving
2g = W
Solving for variable 'g'.
Move all terms containing g to the left, all other terms to the right.
Divide each side by '2'.
g = 0.5W
Simplifying
g = 0.5W
What is the area of this triangle?
Answer:
21
Step-by-step explanation:
The area of a triangle is base times height divided by two. Your base, which happens to be on top, goes from -4 to 3, or 7 units. The height goes from 3 to -3, or 6 units. 6 times 7 is 42, and 42/2= 21
What is the constant(K)?
Proportional or Non-Proportional?
х
у
1
5
2
10
3
15
4
20
a
5
b
3
с
2
d
4
Answer:
a (5)
Step-by-step explanation:
The constant is the same as y/x in a proportional relationship
Researchers collected data from a group of people who completed
30 minutes of moderate exercise based on their age, The table and
scatterplot show each person's age and the maximum heart rate in
beats per minute (bpm) each person reached while exercising,
A.h(x)=2.9x-250
B.h(x)=4.2x-276
C.h(x)=-2.9x+250
D.h(x)=-4.2x+276
Answer: I think its C h(x)=-2.9x+250
Step-by-step explanation:
Answer:
b
Step-by-step explanation:
(Pls add an image of the area model and ill give brainliest!! :D)
Solve the division equation below using an area model.
7,436÷ 13 = _____
7436 ÷ 13 = 572
I didn't understand the rest of the thing u mentioned
(1x) +(3x)+(7x-10)= 180
PLEASE ANSWER!!!!!!!!
Answer
418.2 m
Step-by-step explanation:
The first thing you need to realize to simplify the solving of this question for yourself is that since 5 cm are equal to 25 m, you can convert that into 1 cm is equal to 5 m. With that in mind, you then want to find the area of the rectangle in cm, which would be 6.8 times 12.3, which comes out to be 83.64. All you need to do from there is multiply that by 5, which should give you the answer of 418.2
Rewrite as a simplified fraction.
0.67 = ?
7 is repeating forever
Answer:
67/100
Step-by-step explanation:
its the simpelist form
Help thanks please
:)
Answer:
C , 452.16 cm :)
Step-by-step explanation:
good luck
Answer:
452.448
Step-by-step explanation:
For the parallelogram, if m angle 2=4x-20 and m angle 4=3x-11 find m angle 1. The diagram is not to scale.
Answer: m angle 1=164°
Step-by-step explanation:
Since the two provided angles are congruent we can make the equation
4x-20=3x-11
Subtract 3x from each side
x-20=-11
Add 20 to each side
x=9
now apply our x to one of the angles
4(9)-20
36-20
16
In a parellelogram all sides added up =360° so if we subtract 16•2 from 360 we can get the sun of the two remaining angles. So 360-32 is 328°. Divide that by 2 to get the angle measure of one of the two angles. 164
Can I please get help plsss
Answer:
1000 ft/min
Step-by-step explanation:
Rate of change in ft per min is 1000 ft per 1 minute from reading the graph
Find the value of x in each of the following
a) 5x + 1 = 11
b) 2x - 3 = 2
Answer:x=2, x=2.5
Step-by-step explanation:
5x+1=11
Subtract 1 from each side
5x=10
Divide each side by 5
x=2
2x-3=2
Add 3 to each side
2x=5
Divide each side by 2
x=2.5
Answer:a)2 .(b) 2.5
Step-by-step explanation:
a) 5x + 1 = 11
Substract 1 from both sides
5x + 1 - 1 = 11 - 1
5x = 10
x = 10/5
x = 2.
b). 2x - 3 = 2
Add 3 to both sides
2x - 3 + 3 = 2 +3
2x = 5
x = 5/2
x = 2.5
Each individual letter in TENNESSEE is placed on
a piece of paper in a hat. If one letter is selected at
random from a hat, determine probability that:
15. Letter S is selected
16. A consonant is selected
17. Letter T or N is selected
18. The letter V is not selected
19. The letter W is selected
20. The letter S is not selected
Answer:
15. [tex]P(S)=\frac{2}{9}[/tex]
16. [tex]P(Consonant)=\frac{5}{9}[/tex]
17. [tex]P(TorN)=\frac{3}{9}[/tex]
18. [tex]P(V)=1[/tex]
19. [tex]P(W)=0[/tex]
20. [tex]P(S)=\frac{7}{9}[/tex]
Answers
15. 2/9 (two ninths)
16. 5/9 (five ninths)
17. 1/3 (one third)
18. 9/9 (nine ninths)
19. 0
20. 7/9 (seven ninths)
Explanations
There are nine letters.
There is one T.
There are 4 E's.
There are two N's.
There are two S's.
15. You know that there are two S's. Two S's out of nine total letters is 2/9. The probability that an S is selected is 2/9.
16. A consonant is a letter that is not a vowel. The consonants in TENNESSEE are T, N, and S. There is one T, two N's, and two S's, meaning there are 5 consonants. Five consonants out of nine total letters is 5/9. The probability that a consonant is selected is 5/9.
17. You know that there is one T and two N's. This is a total of three letters. The probability of getting on of these three letters is 3/9. 3/9 simplified is 1/3. The probability of selecting a T or N is 1/3.
18. You know that there are no V's in TENNESSEE. Therefore, no matter what letter you select, there is a 100% chance you'll get a number that is not V. All nine letters are not the letter V, so the probability of selecting a letter that is not V is 1/1 or 1.
19. You know that there are no W's in TENNESSEE either. Therefore, whichever letter you select, you will not get a W. The chance of selecting a W is 0/9 or 0.
20. There are four S's. That means there are five letters that are not S. These are: T, N, N, S, S. Five letters out of nine letters in total is 5/9. The probability of selecting a number that is not S is 5/9.
The ratio of the number of boys, b, to the number of girls, g, in the class with S students is 3 to 5. The total number of students in the class can be calculated using the expression S=b+g. Part A: Write an expression which represents the number of students in the class, S, in terms of the number of girls, g. Part B: What percent of students in the class are girls?
Use the graph to predict the number of hours it would take to drive 180 miles.
3.3 Sam drove from his house to College. When he stopped at College he saw on the instrument panel
of his car that he covered 26.5 km. consider the figure below and answer the following questions
(a) what is the distance converted sam
Answer:
question is not complete
Guys what is 437x15=_____
Please Help, I Dont like Math
Thanks you guys have a good day!
Answer:
6555
Step-by-step explanation:
Again you can you Distributive property to answer this question here is how-To “distribute” means to divide something or give a share or part of something. According to the distributive property, multiplying the sum of two or more addends by a number will give the same result as multiplying each addend individually by the number and then adding the products together.
Answer:
6555
Step-by-step explanation:
HELP PLZ DUR 11;59 plz help me
Answer:
Base = 10 cm
Height = 60 cm
Step-by-step explanation:
The formula for the area of a triangle is [tex]area=\frac{1}{2} *b*h[/tex] , where b is the length of the base of the triangle, and h is the length of the height of the triangle.
We know the area is 300, and since the height of the triangle is 6 times its base, we know that [tex]h=6*b[/tex]. We can plug in these values into our formula for the area of a triangle, which gives us the following equation to solve:
[tex]300=\frac{1}{2} *b*(6*b)[/tex]
[tex]3b^2=300[/tex]
[tex]b=\sqrt{100} =10[/tex]
The base of the triangle is 10 centimeters.
Now that we know the base of the triangle, we can plug its value in to the original formula to solve for the height of the triangle, which gives us the following equation:
[tex]300=\frac{1}{2} *10*h[/tex]
[tex]5h=300[/tex]
[tex]h=60[/tex]
The height of the triangle is 60 centimeters.
which of the following conditions assure that lines are AE and BD are perpendicular
Answer:
I think option a is correct
HELP ANSWER PLZ!!!!!!!!!!!!!!!!!!!!!
prestige builders has a development of new homes.there are four different floor plans,seven exterior colors,and an option of either a two car or a three-car garage. How many choice are there for one home?
Answer:
there are 56 choices for one home
Step-by-step explanation:
plz give brainliest :)
Solve for X only in number 4.
Pls help will give the brainliest.
2x - y = 3 and x+ y = 0
Answer:
I think this is it.....If not let me know
2x - y = 3
Slope = 2
x - intercept = 3/2 = 1.50000
y - intercept = 3/-1 = -3.0000
x + y = 0
Slope = -2.000/2.000 = -1.000
x - intercept = 0/1 = 0.0000
y - intercept = 0/1 = 0.0000
Find the slope of the line passing through the points (-9, 3) and (-9, -2).
Answer:
Undefined slope
Step-by-step explanation:
To calculate the slope between two points, you divide the difference of the y-coordinates of 2 points on a line by the difference of the x-coordinates of those same 2 points.
The formula for the slope m between points (x₁, y₁) and (x₂, y₂) is: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex] , which is also known as "rise over run".
Here, we have the points (-9, 3) and (-9, 2).
x₁ = -9, y₁ = 3, x₂ = -9, y₂ = -2. We can plug these values in to the "rise over run" equation:
[tex]m=\frac{-2-3}{-9-(-9)}[/tex]
[tex]m=\frac{-5}{0}[/tex]
This is a vertical line.
The slope of a line cannot be undefined (a vertical line), because the x-coordinate never changes no matter what the y-coordinate is. Thus, the slope is undefined for the line passing between these two points.
Karen, Mary and Amy sold candy bars as a fundraiser. Karen sold three more than twice the number of bars Mary sold. Amy sold five more bars than Karen. Write an expression to represent the total number of candy bars sold.
HELPPPPPP PLEASE
Simplify: 22w - (-14w)
Answer:
36w
Step-by-step explanation:
Can someone please help, ty!!
(Will mark brainliest)
Answer:
week 2
Step-by-step explanation:
week 2 starts at 65 and ends at 90 (25 difference)
week 1 starts at 60 and ends at 82ish (22 difference)
(- 5x + 5) + (- 7x + 9) = 90 degrees
Answer:
[tex]x = \frac{ - 19}{3} [/tex]
Step-by-step explanation:
[tex]( - 5x + 5) + ( - 7x + 9) = 90[/tex]
[tex] = > 5 - 5x - 7x + 9 = 90[/tex]
[tex] = > 14 - 12x = 90[/tex]
[tex] = > - 12x = 90 - 14[/tex]
[tex] = > - 12x = 76[/tex]
[tex] = > x = \frac{76}{ - 12} = \frac{ - 19}{3} [/tex]
Help Meeeee Pleaseeeee
Answer:
m∠XYZ = 162°
Step-by-step explanation:
We can see that ∠XYZ is an exterior angle while ∠W and ∠X are the opposite interior angles.
We know that the exterior angle of triangle is equal to the sum of opposite interior angles
Given
m∠XYZ = (15x-18)°
m∠W = (5x+2)°
m∠X = (8x+4)°
Mathematically it can be written as:
m∠X+m∠W = m∠XYZ
[tex]8x+4+5x+2 = 15x-18\\13x+6 = 15x-18\\13x-15x = -18-6\\-2x = -24\\\frac{-2x}{-2} = \frac{-24}{-2}\\x = 12[/tex]
Putting x=12 in m∠XYZ
[tex]15x-18\\=15(12)-18\\=180-18=162[/tex]
Hence,
m∠XYZ = 162°