Answer:
[tex]x = 3\ or\ x = 7[/tex]
Step-by-step explanation:
Given
[tex]x^{2}-8x+14=2x-7[/tex]
Required
Solve
Equate to 0
[tex]x^{2}-8x-2x+14+7=0[/tex]
[tex]x^{2}-10x+21=0[/tex]
Expand
[tex]x^{2}-7x-3x+21=0[/tex]
Factorize
[tex]x(x-7)-3(x-7)=0[/tex]
Factor out x - 7
[tex](x-3)(x-7)=0[/tex]
Split
[tex]x - 3 = 0\ \ x - 7 = 0[/tex]
Solve
[tex]x = 3\ or\ x = 7[/tex]
What is X? (I forget how to do this)
Answer:
180-35=145
x=145
*I did not use 180 because the number on the other side is 180 i used it because a straight angle is equal to 180*
Step-by-step explanation:
Answer:
145
Step-by-step explanation:
When you get two lines crossing like this, and one of them is given as in the diagram, then the other one which shares a common ray with it, is the supplement to the given angle.
x = 180 - 35
x = 145.
Elena is going to a farmer's market for fresh produce. She has two markets to
choose from and hopes to buy both cherries and asparagus. The table shows
the probability that each type of produce will be available at the markets.
North market
South market
Cherries
0.6
0.5
Asparagus
0.85
0.84
Assuming that the availability of cherries and the availability of asparagus are
independent of each other, which market should Elena choose to maximize
her chance of buying both?
A. South market. There is a 0.42 probability of both cherries and
asparagus being available.
B. North market. There is a 0.3 probability of both cherries and
asparagus being available.
c. South market. There is a 0.3 probability of both cherries and
asparagus being available.
D. North market. There is a 0.51 probability of both cherries and
asparagus being available.
Answer:
D (north, .51)
Step-by-step explanation:
since the numbers are higher for north, it is the right answer.
.6*.85=.51
D. North market. There is a 0.51 probability of both cherries and asparagus being available.
What is independent events ?If the incidence of one event does not affect the probability of the other event then the events are independent of each other and called independent events.
Now, if A and B be two events which are independent,
then P(A∩B) = P(A)×P(B)
How to find which market Elena choose to maximize her chance of buying both?In the table in given problem, the probability of cherries and asparagus are higher for north market.
For the north market,
The probability of produce cherries = P(A) = 0.6
The probability of produce asparagus = P(B) = 0.85
where A and B are the events of produce cherries and asparagus respectively.
Here, A and B are independent events.
Then probability for maximize her choice is P(A∩B) = P(A)×P(B)
= 0.6×0.85
= 0.51
∴ Elena choose north market to maximize her chance of buying both and the probability is 0.51
Learn more about independent events here :
https://brainly.com/question/11890324
#SPJ2
how can i answered this
Answer:
hope it is helpful to you
Please help me with this problem
Question: 5d - 6 + 8 -3d = 12
Answer:
d=5
Step-by-step explanation:
Answer:
d=5
Step-by-step explanation:combine like terms and subtract numbers from left side.
There are 6 different cookies on a plate. James will choose 2 of these cookies to pack in his lunch. How many different pairs of 2 cookies can he choose from the 6?
Answer:
15
Step-by-step explanation:
He could choose 1 & 2, 1 & 3, 1 & 4, 1 & 5, 1 & 6, 2 & 3, 2 & 4, 2 & 5, 2 & 6, 3 & 4, 3 & 5, 3 & 6, 4 & 5, 4 & 6, 5 & 6
96 sq meters
144 sq meters
84 sq meters
102 sq meters
Pls show work I get different answers from people every time
Answer:
84 sq meters
Step-by-step explanation:
1. Approach
In order to solve this problem, one will have to divide the figure up into simple shapes. A picture is attached showing how the shape is divided up for this answer. Find the area of each region, then add up the results to find the total area.
2. Area of Region 1
As one can see, the length of (Region 1), as given is (6), the width is (3). To find the area multiply the length by the width.
Length * width
6 * 3
= 18
3. Area of Region 2
In (Region 2), the length is given, (12). However, one must find the width, this would be the size of the total side, minus the width of (Region 1). Multiply the length by the side to find the area.
Length * width
= 12 * (8 - 3)
= 12 * 5
= 60
4. Area of Region 3
In (Region 3), the length of the figure is (2), the width is (3). To find the area, multiply the length by the width.
Length * width
= 2 * 3
= 6
5. Total area
Now add up the area of each region to find the total rea,
(Region 1) + (Region 2) + ( Region 3)
= 18 + 60 + 6
= 84
I need the answer the question is in the picture
Answer:
D) 1 3/4
Step-by-step explanation:
HELP ME PLEASEEEEEEEEEEEEEEEEE
Answer:
x
Step-by-step explanation:
f([tex]f^{-1}[/tex](x))
Lets work the brackets first!
[tex]f^{-1}[/tex](x)
To solve we are going to find the inverse of the function.
[tex]f^{-1}[/tex](x)
f ⇔ y
∴ y = x
Interchange x and y
x = y
Solve for y
y = x
∴ [tex]f^{-1}[/tex](x) = x
Now let's solve the rest of the equation.
f(x) = x
∴ f([tex]f^{-1}[/tex](x)) = x
5th grade math. correct answer will be marked brainliest
Answer:
I put 6/9 even though i know its wrong
Step-by-step explanation:
Help me out plssss thank u
x = 44°
Step-by-step explanation:
Since AB is a diameter,
arcAC + arcCB = 180
92° + arcCB = 180
or
arcCB = 88°
ArcCB is the intercepted arc and by definition, the inscribed angle x is half the measure of the intercepted arc. Therefore,
x = (1/2)arcCB
= 44°
Find the slope of the line that passes through these two points. (0, -2): (5. 3)
Answer:
[tex]\displaystyle m = 1[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Coordinates (x, y)Slope Formula: [tex]\displaystyle m = \frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Identify
Point (0, -2)
Point (5, 3)
Step 2: Find slope m
Simply plug in the 2 coordinates into the slope formula to find slope m
Substitute in points [Slope Formula]: [tex]\displaystyle m = \frac{3--2}{5-0}[/tex][Fraction] Subtract: [tex]\displaystyle m = \frac{5}{5}[/tex][Fraction] Divide: [tex]\displaystyle m = 1[/tex]Only answer if you're very good at Math.
Given f (x) = x + 1 and g(x) = x^2, what is
( g o f) (x)?
A: ( g o f) (x) = x^2 + 1
B: ( g o f) (x) = (x + 1)^2
C: ( g o f) (x) = x ^ 2 + x + 1
D: ( g o f) (x) = x^2 (x + 1)
Answer:
Solution given:
f(x) = x +1 and g(x) = x²,
now
(gºf)(x) =g(fx)=g(x+1)=(x+1)²
B) (gºf)(x) = (x + 1)^2
1. A shipping box has the
dimensions
10.5" x 7" x 3". What is
the volume of the shipping box?
Answer:
220.5 in³
Step-by-step explanation:
Volume = L×W×H
Volume = 10.5 in × 7 in × 3 in
Volume = 220.5 in³
Answer:
220.5CM ^3
Step-by-step explanation:
vOLUME = L*W*H
= 10.5*7*3
=220.5
Assume that when adults with smartphones are randomly selected, 54% use them in meetings or classes. If 5 adult smartphone users are randomly selected, find the probability that exactly 3 of them use their smartphones in meetings or classes.
Answer:
Es el 60%
Step-by-step explanation:
what additional piece of information do we need to prove that MLN ≅ OPN
Answer:
N is the midpoint of MO
Step-by-step explanation:
Given
See attachment for triangles
Required
Additional information to prove [tex]MLN \cong OPN[/tex]
From the attachment, we already have:
[tex]LM \simeq OP[/tex] and [tex]LN \simeq ON[/tex]
The additional information that must be true for [tex]MLN \cong OPN[/tex] to be true is: N is the midpoint of MO
Because this piece of information proves that:
[tex]MN \simeq ON[/tex]
Which in other words makes [tex]MLN \cong OPN[/tex]
Help please I asp !!!
Answer:
Step-by-step explanation:
1
Give an example of a composite number written as a product of primes.
Choose the correct answer below.
A. 60 = 2 x 2 x 15 or 60 = 22 x 15
B. 41 = 1x41
C. 28 = 2x2x7 or 28 = 22x7
Which mathematical sentence most Accurately expresses the information in the problem below?
See Picture....
Answer:
Don't quote me on this but it's probably C. 12c ≥ 88
Step-by-step explanation:
This is because he packages 88 eggs into cartons of 12.
88/12 is 7.33333... so it makes sense to have a greater or equal amount of eggs. If you multiply 7.333333... by 12, each additional 3 gets you closer to 88 so again, makes sense to have more.
Find a function whose graph is a parabola with vertex (1, −2) and that passes through the point (5, 14)
Answer:
[tex]f(x)=(x-1)^2-2[/tex]
Step-by-step explanation:
Equation of a parabola:
[tex]y=a(x-h)^2+k[/tex]
The vertex is given as [tex](h,k)[/tex] -> [tex](1, -2)[/tex]
Plug in both the given point and vertex to find the value of [tex]a[/tex]:
[tex]y=a(x-h)^2+k[/tex]
[tex]y=a(x-1)^2-2[/tex]
[tex]14=a(5-1)^2-2[/tex]
[tex]14=a(4)^2-2[/tex]
[tex]14=16a-2[/tex]
[tex]16=16a[/tex]
[tex]1=a[/tex]
[tex]a=1[/tex]
Therefore, the final function is [tex]f(x)=(x-1)^2-2[/tex]
See attached graph below for a visual of the function.
Need help with this problem (listing BRAINLIST and giving points) =)
I hope this is help full to you
Please help!
An 80% confidence interval is found to be (200,240). What is the margin of error? O A. 32 O B. 20 O C. 40 O D. 16 SUBMIT
Answer:
The margin of error is of 20, option B.
Step-by-step explanation:
Confidence interval concepts:
A confidence interval has two bounds, a lower bound and an upper bound.
A confidence interval is symmetric, which means that the point estimate used is the mid point between these two bounds, that is, the mean of the two bounds.
The margin of error is the subtraction between the bounds, divided by 2.
In this question:
Lower bound: 200
Upper bound: 240
Margin of error:
(240 - 200)/2 = 40/2 = 20
The margin of error is of 20, option B.
write an equation of the line with slope -2 and passing through (3,1) in slope-intercept form
Answer:
y=-2x+7
Step-by-step explanation:
Hi there!
The form of slope-intercept form is given as y=mx+b, where m is the slope and b is the y intercept
We are given the slope (-2) and a point (3,1)
We can immediately substitute -2 as the slope in the equation
y=-2x+b
Now we need to find b
Because the line will pass through the point (3,1), we can use it to solve for b
Substitute 3 as x and 1 as y
1=-2(3)+b
multiply
1=-6+b
add 6 to both sides to isolate b
7=b
Substitute 7 as b into the equation
The line is y=-2x+7
Hope this helps!
Complete the remainder of the
table for the given function rule:
y = = + 7
X-8 -4 0 4
4 8
y| 5 [?] [] [] []
Answer:
x = -4, y = 6.
x = 0, y = 7.
x = 4, y = 8.
x = 8, y = 9.
Step-by-step explanation:
We are given the following rule:
[tex]y = \frac{x}{4} + 7[/tex]
To solve this question, we replace x by the asked values.
When x = -4
[tex]y = \frac{-4}{4} + 7 = -1 + 7 = 6[/tex]
So x = -4, y = 6.
When x = 0
[tex]y = \frac{0}{4} + 7 = 0 + 7 = 7[/tex]
So x = 0, y = 7.
When x = 4
[tex]y = \frac{4}{4} + 7 = 1 + 7 = 8[/tex]
So x = 4, y = 8.
When x = 8
[tex]y = \frac{8}{4} + 7 = 2 + 7 = 9[/tex]
So x = 8, y = 9.
Help me asap!!pleaseeee
Answer:
a
Step-by-step explanation:
yes
What is the slope of the line through the points (-2, -1) and (4, 3)?
Answer:
2/3
Step-by-step explanation:
Gradient of line
= (y1-y2) /(x1-x2)
= (3-(-1))/(4-(-2))
= (3+1)/(4+2)
= 4/6
= 2/3
58. Consider the graph of the line below. a State the slope of the line. b. State the x-intercept as an ordered pair. c. State the y-intercept as an ordered pair. d. Write the equation of the line in the form y = mx + b.
Answer:
No solution is possible
Step-by-step explanation:
You failed to include the graph.
Paul signs up for a new cell phone plan. He is offered a discount for the first five months. After this period, his rate increases by $8.50 per month. His total cost at the end of the year is $245.50. Paul wrote the following equation to represent his plan. 5x + 7(x + 8.50) = 245.50
Answer:
The first 5 months Paul paid $ 15.50, and in the next 7 months he paid $ 24.
Step-by-step explanation:
Since Paul signs up for a new cell phone plan, and he is offered a discount for the first five months, and after this period, his rate increases by $ 8.50 per month, and his total cost at the end of the year is $ 245.50, and Paul wrote the following equation to represent his plan: 5x + 7 (x + 8.50) = 245.50; To determine the value of X, the following calculation must be performed:
5X + 7 x (X + 8.50) = 245.50
5X + 7X + 59.50 = 245.50
12X + 59.50 = 245.50
12X = 245.50 - 59.50
12X = 186
X = 186/12
X = 15.50
Therefore, the first 5 months Paul paid $ 15.50, and in the next 7 months he paid $ 24.
A right rectangular prism is made with 8 small cubes.
Each cube has an edge length of 1/5 inch.
What is the volume, in cubic inches, of the prism?.
Answer:
C. ⁸/125
Step-by-step explanation:
The volume of the right rectangular prism = 8 × volume of 1 cube
Volume of cube = a³
Where,
a = ⅕ inch
Volume of 1 cube = (⅕)³
= 1/125 cubic inch
✔️Volume of the rectangular prism = 8 × ¹/125
= ⁸/125 cubic inch
PLEASE HELP! WILL MARK BRAINLIEST!
Answer:
at first put the value of X
after that do the equation.
Step-by-step explanation:
hope it will help you
Answer:
a = 2
Step-by-step explanation:
substitute x with the number 5.
5+8a=25+5a-7a
subtract 5a from both sides
5+3a=25-7a
add 7a to both sides
5+10a = 25
subtract 5 from both sides
10a=20
divide both sides by 10
a = 2
PLZZZZZZZZZZZZZZZ HELP ME WITH THIS!!!
Elena and Diego each wrote an equation to represent the following diagrams. Decide which equation you agree with. And, you must provide your explanations in order to receive the points. You need to solve the equation you agree with. Finally, you need to describe, in words, the process you would use to find the missing values. You can assume that angles that look like right angles are indeed right angles.
1. Elean: w+148=180 , Diego: x+90=148.
We know that angle BKC=148 degrees.
I agree with : ( Elena / Diego /Both of them) .
Because:
Describe, in words, the process you would use to find the missing values:
Answer:
I agree with Elena. See explanation below.
Step-by-step explanation:
A right angle is equal to 90 degrees.
A straight line is equal to 180 degrees.
Elena: w + 148 = 180
Elena's equation is correct because 148 degrees is represented by variable k. When adding variable k and w together, they form a straight line which is equiavlent to 180 degrees. By using this equation, Elena can solve for w after isolating the variable:
w + 148 = 180
w + 148 - 148 = 180 - 148
w = 32 degrees
Diego: x + 90 = 148
Diego is incorrect. He added 90 degrees because of the right angle, but he failed to realize that x is within 90 degrees, meaning he would either have to subtract x from 90 degrees or add both x and w to get to 90 degrees. He cannot solve for x or w by using this equation.
To solve for x, add both w and x to get 90 degrees. Since Elena showed us w equals 32 degrees, we can set up an equation:
w + x = 90
32 + x = 90
32 - 32 + x = 90 - 32
x = 58 degrees
