Answer:
x=4
Step-by-step explanation:
(x-2)(x+1)=3x-2
x(x+1)-2(x+1)=3x-2
x^2+x-2x-2=3x-2
x^2-x-2=3x-2
x^2=3x+x-2+2
x^2=4x
x^2/x=4
x=4
(x - 2) ( x + 1) = 3x - 2
x² + x - 2x - 2 = 3x - 2
x² + x - 2x - 2 - 3x + 2 = 0
x² - 4x = 0
x ( x - 4 ) = 0
x - 4 = 0/x
x - 4 = 0
x = 4
y=3x+2
y=3x−6
how many solutions does the system have
Answer:
no solutions
Step-by-step explanation:
The lines are parallel since they have the same slope
y = mx+b where m is the slope
They have different y intercepts (b)
The will never intersect so they have no solutions
If taina makes 5 dollars a hour for babysitting, and babysat for 5 hours on monday how much money did she make?
Answer:
25
Step-by-step explanation:
Take the amount earned per hour and multiply by the number of hours to determine the total amount earned
5 * 5 = 25
Answer:
25 dollars on monday
Step-by-step explanation:
5 dollars an hour times 5 hours
5x5=25
NEED HELP END OF THE YEAR TEST
Graham was given the following function table.
What is the output if x=8?
Answer:
37
Step-by-step explanation:
+ 5 in the y column every row, so 8 would be 37
Answer:
37?
Step-by-step explanation:
2 7
3 12
4 17
5 22
6 27
7 32
8 37
Is this correct? If not which is correct?
Please help, and explain, I don't understand!! You put $1000 into an investment yielding 6% annual interest; you left the
money in for two years. How much interest do you get at the end of those
two years?
Answer:
$120 in interest
Step-by-step explanation:
The formula for finding how much interest you get over time is this :
Principal × Rate × Time = Interest you get at the end
Principal is how much you start out with, so in this case that's $1,000.
Rate is the percent annual interest, which in this case is 6%.
Last, time, time in this case is 2 years.
I = (1000)(0.06)(2) = 120
I will get $120 in interest.
Grandma Gertrude’s Chocolates, a family owned business, has an opportunity to supply its product for distribution through a large coffee house chain. However, the coffee house chain has certain specifications regarding cacao content as it wishes to advertise the health benefits (antioxidants) of the chocolate products it sells. In order to determine the mean % cacao in its dark chocolate products, quality inspectors sample 30 pieces. They find a sample mean of 4% with a standard deviation of 2%. What is the margin of error at 90% confidence?
a. 1.49%
b. 1.24%
c. 0.62%
d. 0.75%
e. 1.36%
Answer:
c. 0.62%
Step-by-step explanation:
We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 30 - 1 = 29
90% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 29degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.9}{2} = 0.95[/tex]. So we have T = 1.6991
The margin of error is:
[tex]M = T\frac{s}{\sqrt{n}}[/tex]
Sample of 30, standard deviation of 2%.
Then
[tex]M = T\frac{s}{\sqrt{n}} = 1.6991\frac{2}{\sqrt{30}} = 0.62[/tex]
0.62%, so option c.
Can someone answer this for me (in the picture)
Ariel receives
$42
for working a full day doing inventory at a hardware store. How much can she get for working
2/7
of a day?
You roll a standard number cube. Find P (number greater than 5)
Answer:
1/6
Step-by-step explanation:
(3,10) (5,-3) (7,4) (3, 8) is this a function
Answer:
no
Step-by-step explanation:
This is not a function
To be a function each x can only go to one y
x=3 goes to both y=10 and y=8
Not a function
I need help help please help
middle left my guy lol..
Find all solutions to the equation. Show steps! Answer correctly for Brainliest!
sin^(2)x + sin x = 0
Answer:
[tex]\displaystyle x=\left\{n\pi, \frac{3\pi}{2}+2n\pi \right\}, n\in\mathbb{Z}[/tex]
Step-by-step explanation:
We want to solve the equation:
[tex]\sin^2x+\sin x=0[/tex]
Factor:
[tex]\sin x(\sin x+1)=0[/tex]
Zero Product Property:
[tex]\sin x=0\text{ or } \sin x+1=0[/tex]
Recall that sine equals 0 at 0 radians. This will repeat every π radians. So:
[tex]x=n\pi, n\in\mathbb{Z}[/tex]
(Where n is an integer).
In the second case, we have:
[tex]\sin x=-1[/tex]
This occurs at 3π/2 and will repeat every cycle or 2π. Hence:
[tex]\displaystyle x=\frac{3\pi}{2}+2n\pi, n\in\mathbb{Z}[/tex]
Our solution is:
[tex]\displaystyle x=\left\{n\pi, \frac{3\pi}{2}+2n\pi \right\}, n\in\mathbb{Z}[/tex]
Notes:
In the interval [0, 2π), the solutions are:
[tex]\displaystyle x=\left\{0,\pi, \frac{3\pi}{2}\right\}[/tex]
find the equation of the line show
Answer:
Equation : y = 2x + 3
Step-by-step explanation:
By considering any two coordinates from the line.
For example: I choose (0, 3) and (2, 7)
slope :
[tex]slope = \frac{y_2 - y_1}{x_2 - x_1} = \frac{7-3}{2-0} = \frac{4}{2} = 2[/tex]
Equation :
[tex](y - y_1) = m (x - x_1)\\\\(y - 7) = 2 (x - 2)\\\\y - 7 = 2x - 4\\\\y = 2x - 4 + 7 \\\\y = 2x + 3[/tex]
HELPPP ASAPPPP ONLY ONE WEEK OF SCHOOL LEFT
Answer:
D, no idea how the other one came to the conclusion that B would be right
f(0) is -3, but there is no zero point at -3 (-3/0)
The graph has no minimum value btw, just a maximum value of 1
pls brainliest
When reaching mile marker 6 on the trail, Randy uses his GPS to find that his current elevation is 6220 feet. If he follows the trail until its end at mile marker 13, his elevation will be 8390 feet. What is the average change in elevation of Randy's position from mile marker 6 to mile marker 13, in feet per mile marker?
Answer:
310 feet per mile marker
Step-by-step explanation:
The average change will be the difference in elevation over the difference in mile markers. Randy’s elevation changed from 6220 feet to 8390 feet, which is a difference of
8390-6220=2170 feet. He started tracking at mile markers 6 to mile markers 13, which is a difference of
13-6=7 miles markers. The average change in elevation is 2170 feet / 7 mile markers = 310 feet per mile marker.
I need help with this show work if you can asap thank you
Answer:
20 inches
Step-by-step explanation:
Answer:
H
Step-by-step explanation:
Use Pythagorean Theorem. 12 squared plus 16 squared = 400
radical 400 = 20
Calculate the volume of the rectangular pyramid below
Answer:
300mm^3
Step-by-step explanation:
formula: [tex]\frac{lwh}{3}[/tex]
10x7.5x12= 900
900/3=300mm^3
Which expression is equivalent to square root 8x^7y^8?
Answer: 2x^3y^4 sqrt 2x or C on edge
Step-by-step explanation:
The random variable X is normally distributed with mean of 80 and variance of 36. The 67th percentile of the distribution is
Answer:
82.64
Step-by-step explanation:
Mean = 80 ; σ² = 36 ; σ = √36 = 6
Using the relation :
P(Z < x) = (x - mean) / standard deviation
P(Z < x) = 0.67
Z = invNorm(0.67) = 0.44
Hence,
0.44 = (x - 80) / 6
Cross multiply :
6 * 0.44 = x - 80
2.64 = x - 80
2.64 + 80 = x
82.64 = x
Hence, X = 82.64
This is the last one can somebody figure this out please?
Answer:
x = 8.4
Step-by-step explanation:
take 64 degree as reference angle
using cos rule
cos 64 = adjacent / hypotenuse
0.438 = 3.7 / x
x = 3.7 / 0.438
x = 8.44
x = 8.4
2 7/9 divided by 5/6 in fraction.
The fraction after the division is A = 46 / 15
What is a Fraction?An element of a whole is a fraction. The number is represented mathematically as a quotient, where the numerator and denominator are split. Both are integers in a simple fraction. A fraction appears in the numerator or denominator of a complex fraction. The numerator of a proper fraction is less than the denominator.
Given data ,
Let the first fraction be p = 2 7/9
Let the second fraction be q = 5/6
Now , A = p/q
On simplifying the equation , we get
A = 2 7/9 / 5/6
A = ( 25/9 ) / ( 5/6 )
A = ( 25/9 ) x ( 6/5 )
On simplifying , we get
A = 138/45
A = 46 / 15
Hence , the fraction is A = 46/15
To learn more about fractions click :
https://brainly.com/question/29766013
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From the graph of the function, determine the domain and the range.
Answer:
[tex]\text{Domain: }[-2,0)\cup (0, 5],\\\text{Range: }(-2, 0]\cup [2, 4][/tex]
Step-by-step explanation:
The domain denotes the range of x-values of the function, usually read from left to right. The range denotes the range of y-values of the function, usually read from bottom to top. Parenthesis denote exclusive while square brackets denote inclusive.
Which transformation below will map an image onto itself?
A. A reflection across the y-axis, followed by a reflection across the x-axis.
B. A dilation of 2 followed by a dilation of 1.5
C. A translation right 2 followed by a translation up 2
D. A counterclockwise rotation of 360
Answer:
B
Step-by-step explanation:
a counter clockwiswe rotation of 360
A counterclockwise rotation of 360° maps an image onto itself.
What is a coordinate transformation?Suppose the initial coordinates are (x₁,x₂). We do 4 kinds of operations on the coordinates which include:
the translation which means to move the coordinate up and downdilation which means to expand or contract the length of the coordinate from the originrotation which means to rotate the coordinate about the origin counterclockwise or clockwise. The reflection which means to reflect the coordinate about the x-axis or y-axis.After doing these operations the final position of the coordinates is called the transformation of the initial coordinate.
How to solve it?On a counterclockwise rotation of 360 degree the coordinate comes back to the original position.
Learn more about the coordinate transformation here-
brainly.com/question/9033144
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What is the range of the function f(x) = |x| – 3?
all real numbers
all real numbers less than or equal to 3
all real numbers less than or equal to –3
all real numbers greater than or equal to –3
9514 1404 393
Answer:
all real numbers greater than or equal to –3
Step-by-step explanation:
|x| has a range of all real numbers greater than or equal to zero, so f(x) = |x|-3 will have a range of ...
all real numbers greater than or equal to -3
Answer:
(D): All real number greater than or equal to -3
Step-by-step explanation:
3 cm
6 cm
6 cm
6 cm
The area of one of the bases the figure shown above is about 15.6 cm2.
What is the surface area, in cm?, of the figure? Round your answer to the
nearest tenth.
The surface area of given figure = 3×Area of rectangle + 2×area of triangle base.
Surface area = 3×6×3+2×15.6
Surface area = 85.2 cm²
I need some help!!! I will try to give brainliest!!!
9514 1404 393
Answer:
x = 100
Step-by-step explanation:
The two marked angles are a linear pair, so their sum is 180°.
57° +(x +23)° = 180°
x = 100 . . . . . . . . . . . . . divide by °, subtract 80
HELPPPPPPPP 17 PTSSSSSSSSSSSSSSSSSS
Answer:
A: 360
Step-by-step explanation:
Split the trapezoid into 2 shapes
Then find the area of the rectangle on the left:
18 × 15 = 270 square yards
Now for the triangle, first find the base by subtracting the 2 parallel lines:
25 - 15 = 10 yards
0.5(10 × 18) = 90 square yards
Add both areas to find total area:
270 + 90 = 360 square yards
All this can be seen in the figure below:
The x-intercept of f(x) = log4^x is ?
DONE
Answer:
x-intercept(s): ( 0 , 0 )
y-intercept(s): ( 0 , 0 )
Step-by-step explanation:
Answer:
it's 1
Step-by-step explanation:
got it right on edge
-7 2/3 + ( -5 1/2) + 8 3/4 =
Answer:
- 53/12
Step-by-step explanation:
See the image below:)
How many lines intersect at point O?
A.2
B.1
C.4
D.3
Answer:
C. 4 because line o serve as the vertex for each angle there.