*30 POINTS!*
Determine if each equation represents the graph below. Choose ALL correct equations. You will select more than one answer.
The options are:
1. y= 2x-1
2. x-2y =2
3. y= 1/2x - 1
4. y+3 = 1/2 (x+4)
5. y-2= 1/2 (x-2)
Answers
Answer:
2, 3 and 4 represent the graph in the pic
Step-by-step explanation:
When you look at the graph, you can immediately tell the gradient and the y-intercept. The gradient is 1/2 and the y-intercept is -1
Hence the graph in the picture follows the formula: y = 1/2x - 1
When you expand/rearrange the options (1-5) into the slope form you would be able to see which of these options matches with the formula of the line.
1. y= 2x-1: Isn't the same as the equation of the line in the pic
2. Rearrange:
-2y = -x + 2 (divide both sides by 2)
y = x/2 - 1 (x/2 = 1/2x, its the same thing)
3. y= 1/2x - 1 (this is the formula of the line)
4. Expand right-hand-side:
y + 3 = 1/2x + 2 (rearrange)
y = 1/2x - 1 (this is the formula of the line)
5. Expand right-hand-side
y - 2 = 1/2x - 1 (rearrange)
y = 1/2x + 1 (is not the formula of the equation)
Answer:
The officeStep-by-step explanation:
“Would I rather be feared or loved? Easy. Both. I want people to be afraid of how much they love me.” – Michael G. Scott
Related Questions
In the diagram below, m
Answers
Answer:
∠AEB = 62°
∠CED = 62°
∠CDE = 36°
Step-by-step explanation:
The measure of ∠m = ∠CDE of the triangle and ∠CDE = 36°
What is a Triangle?A triangle is a plane figure or polygon with three sides and three angles.
A Triangle has three vertices and the sum of the interior angles add up to 180°
Let the Triangle be ΔABC , such that
∠A + ∠B + ∠C = 180°
The area of the triangle = ( 1/2 ) x Length x Base
For a right angle triangle
From the Pythagoras Theorem , The hypotenuse² = base² + height²
Given data ,
Let the first triangle be represented as ΔABE
Let the second triangle be represented as ΔCDE
The measure of angle ∠EAB = 62°
The measure of angle ∠ABE = 56°
The sum of the interior angles of a triangle = 180°
So , the measure of angle ∠AEB = 180° - ( 62° + 56° )
The measure of angle ∠AEB = 180° - 118°
The measure of angle ∠AEB = 62°
And , by vertically opposite angles
The measure of angle ∠AEB = measure of angle ∠CED
And , the measure of ∠CDE = 180° - ( 82° + 62° )
The measure of ∠D = 180° - 144°
The measure of ∠D = 36°
Therefore , the measure of ∠m = 36°
Hence , the measure of angle ∠D is 36°
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Larry spends a total of 45 minutes running. He begins at a pace of 8 miles per hour and then reduces his speed to 5 miles per hour. Let t represent the number of minutes Larry spent running at the faster pace. Larry models his distance with the expression 8t+5(45−t) to model the situation. Did Larry correctly model the situation
Answers
Answer:
Yes, he did
Step-by-step explanation:
We have that:.
Total time = 45
At time t, he moves at 8mph.
This gives: 8t
The time left is: 45 - t and he moves at 5mph, this gives 5(45 - t).
Hence, the total is
8t + 5(45 - t)
By comparison, we can conclude that Larry modeled the situation correctly.
If BD and EG are parallel lines and mDCA = 127°, what is mDCF?
Answers
Answer:
In the diagram above, AB is parallel to EH, and BD is parallel to FH. Also, AB = BC, and EF = FH. If ∠EGC = 70°, then ∠D =
(A) 65°
Step-by-step explanation:
∠IHJ and ∠FEH are the corresponding angles in the given figure.
What are Angles?an angle is the figure formed by two rays, called the sides of the angle, sharing a common endpoint, called the vertex of the angle.
Corresponding angles are the angles which are formed in matching corners or corresponding corners with the transversal when two parallel lines are intersected by any other line
CJ is the transversal to DF and GI.
From the given options Angle IHJ and angle FEH are corresponding angles.
Hence, ∠IHJ and ∠FEH are the corresponding angles in the given figure.
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Match the equation on the left with its solution(s) on the right.
Answers
(x+2)^2=169 is -15, 11
x^2-49=0 is -7, 7
-5x^2=-500 is -10, 10
the mass of the moon
Answers
Answer:
The answer is 10^24kg. 0.07346.
What two perfect squares does 11 sit in
between
Answers
Answer:
9 and 16 hope this helps.
Step-by-step explanation:
if tanΘ =√3 determine all the possible values of Θ such that -2π≤0≤2π
Answers
Answer:
Sure! Can you tell me the digits of pi?
Step-by-step explanation:
A disadvantage of privately owned media is its __________.
Answers
Answer:
Its D
Step-by-step explanation:
What number should be subtracted from 3/7 to get 5/7
Answers
What is the value of -8 + 4.5 – (-1.2
Answers
Answer:-2.3
Step-by-step explanation:
-8 + 4.5 = -3.5
-3.5 -(-1.2)= -2.3
What is the equation of the ine that has a slope of 4 and passes through the point (3, -10) ?
Answers
Answer:
The answer is
[tex] \huge y = 4x - 22[/tex]
Step-by-step explanation:
To find an equation of a line given the slope and a point we use the formula
[tex]y - y_1 = m(x - x_1)[/tex]
where
m is the slope
( x1 , y1) is the point
From the question the point is (3, -10) and the slope 4
We have
[tex]y + 10 = 4(x - 3) \\ y + 10 = 4x - 12 \\ y = 4x - 12 - 10[/tex]
We have the final answer as
[tex]y = 4x - 22[/tex]
Hope this helps you
Answer:
y+10=4(x-3) in point-slope form
Step-by-step explanation:
In point-slope form, this is how you will write out the equation. Point slope form is y-y1=m(x-x1). You substitute the values in order to get this equation.
The function g(x) represents f(x) = 9 cosine (x minus StartFraction pi Over 2 EndFraction) + 3 after translating StartFraction pi Over 6 EndFraction units left and 4 units up.
Which equation represents g(x)?
Answers
Answer:
B
Step-by-step explanation:
Im almost sure it B but if not then its for sure D.
The equation that represents the function g(x) is [tex]g(x)=9cos(x-\frac{\pi }{3} )+7[/tex].
What is function?Function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
What is translation?Translation means the displacement of a figure or a shape from one place to another. In translation, a figure can move upward, downward, right, left or anywhere in the coordinate system. In translation, only the position of the object changes, its size remains the same.
The function is given as
[tex]f(x)=9cos(x-\frac{\pi }{2} )+3[/tex]
The function f(x) is first translated [tex]\frac{\pi }{6}[/tex] units left.
The rule of translation is:
[tex](x,y)=(x+\frac{\pi }{6},y)[/tex]
So, we have:
[tex]f'(x)=9cos(x+\frac{\pi }{6} -\frac{\pi }{2} )+3[/tex]
Take LCM
[tex]f'(x)=9cos(x+\frac{\pi-3\pi }{6} )+3[/tex]
[tex]f'(x)=9cos(x-\frac{2\pi }{6} )+3[/tex]
[tex]f'(x)=9cos(x-\frac{\pi }{3} )+3[/tex]
Next, translate f'(x) 4 units up.
The rule of this translation is:
[tex](x,y)=(x,y+4)[/tex]
So, we have:
[tex]g(x)=9cos(x-\frac{\pi }{3} )+3+4[/tex]
[tex]g(x)=9cos(x-\frac{\pi }{3} )+7[/tex]
Hence, the equation that represents the function g(x) is [tex]g(x)=9cos(x-\frac{\pi }{3} )+7[/tex].
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Plz help me I’ll give brainliest
Answers
that doesn't give the answer
Answers
Answer:
what doesnt give the answer??
Step-by-step explanation:
Graph the linear function f(x)=3−6x
Answers
Answer:
(-1,9) (0,3), (1,-3), (2,-9)
Step-by-step explanation:
y intercept is -3
slope is -6, so you would go down by 6 and right by 1.
Answer:
The coordinates to graph this would be (-1,9) (0,3) (1,-3) (2,-9)
4(8-6)+2(4+8)
Solve?
Answers
[tex] \huge{\boxed{\sf{32}}}[/tex]
Step by step explanation:
Step 1:
→[tex]4(8-6)+2(4+8)[/tex]
Info: + × - = -
Step 2:
→[tex]32 - 24 + 8 + 16[/tex]
Step 3:
→[tex]56 - 24[/tex]
Step 4:
→[tex]\green{32✓}[/tex]
solve the question please
Answers
If f(x) = 2x-5 and g(x) = x2 - 4x - 8, find (f+ g)(x).
O A. (f+9)(x) = x2 - 2x - 13
O B. (f+g)(x) = x2 + 2x - 3
O C. (f+g)(x) = x2 - 2x-3
O D. (f+g)(x) = 3x2 - 4x - 13
Answers
The addition of the functions f(x) and g(x) will be (f+ g)(x) = x² – 2x – 13. Then the correct option is A.
What is a function?Functions are found all across mathematics and are required for the creation of complex relationships.
If f(x) = 2x – 5 and g(x) = x² – 4x – 8.
Then the function (f+ g)(x) will be
(f+ g)(x) = f(x) + g(x)
(f+ g)(x) = 2x – 5 + x² – 4x – 8
(f+ g)(x) = x² – 2x – 13
Then the correct option is A.
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It costs $2.37 to paint one square foot of wall. You need to paint a wall that measures 864.5 square feet. It will cost to paint that wall. (Round your answer to the nearest hundredth)
a $204.88
b $2,048.87
c $2,048.86
d. $2,848.87
Answers
Answer:
B- hope this helps:)
Step-by-step explanation:
The total cost to paint 864.5 square feet of wall is $2,048.87.
It is given that the cost to paint one square foot of wall is $2.37.
We are asked to find the total cost to paint 864.5 square feet of wall.
What are the different place values in a given number with a decimal point?If we have a number that has a decimal point then we have two parts.
The whole number part and the fractional part.
After the decimal point, we will count the place value as tenths, hundredths, thousandths, and so on.
You can also see the given figure below.
We know that,
One square foot = $2.37.
Remember that Feet is the plural form of the foot.
We can write,
864.5 square feet = 864.5 x one square foot
Because in 864.5 square feet we have 864.5 one square foot.
And since one square foot cost $2.37.
864.5 square feet will cost 864.5 x 2.37 dollars.
Now,
864.5 x 2.37 = $2048.865.
Rounding to the nearest hundredth.
6 is in the hundredth place so we will round 86 to 87 since the number in the thousandth place is greater than 4.
Thus the total cost to paint a wall of 864.5 square feet is $2,048.87.
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A middle school took all of its 6th grade students on a field trip to see a ballet at a theater that has 4200 seats. The students filled 84% of the seats in the theater. How many 6th graders went on the trip?
Answers
You need to find 84% of 4200 to get the amount of students. First change the percent to a decimal, and multiply 0.84 x 4200.
There were 3528 total students at the theater.
What is the range of the function f(x) = 1/2 x- 2 when the domain is { 2,4,6}
Answers
Answer:
The range of f(x) is:
[tex]y\in\{-1,0,1\}[/tex]
Step-by-step explanation:
Domain and Range
Given a function y=f(x), the domain of f(x) is the set of values that x can take and the range of f(x) is the set of values that f gets when x is in the domain.
We have the function:
[tex]\displaystyle f(x) = \frac{1}{2} x-2[/tex]
And the domain is
[tex]x\in\{2,4,6\}[/tex]
Compute the range by assigning each value of x:
For x=2:
[tex]\displaystyle f(2) = \frac{1}{2} \cdot 2-2=1-2=-1[/tex]
[tex]\displaystyle f(2) = -1[/tex]
For x=4:
[tex]\displaystyle f(4) = \frac{1}{2} \cdot 4-2=2-2=0[/tex]
[tex]\displaystyle f(4) = 0[/tex]
For x=6:
[tex]\displaystyle f(6) = \frac{1}{2} \cdot 6-2=3-2=1[/tex]
[tex]\displaystyle f(6) = 1[/tex]
The range of f(x) is:
[tex]y\in\{-1,0,1\}[/tex]
Plz answer it’s timed
Answers
Answer:
1,5
Step-by-step explanation:
cuz it's part of the green
Find the slope of the line.
The slope of the line is =
(Simplify your answer. Type an integer or a fraction.
Answers
using rise over run it would be -4/6 then simplified to -2/3
The number of hours worked by each of the employees last week at two stores are listed below.
Hours Worked in a Week at Two Stores
Store 1 16, 28, 36, 40, 78
Store 2 22, 27, 33, 36, 40
Which statements are true and supported by the data in the table? Check all that apply.
The data for store 1 shows greater variability.
The median number of hours worked for the two stores is the same.
The mean of the data for store 1 is greater than the mean of the data for store 2.
The interquartile range of both data sets is the same.
The range of the data for store 1 is less than the range of the data for store 2.
Answers
Answer:
The correct options are;
1) The data for store 1 show greater variability
2) The mean of the data for store 1 is greater than the mean of the data for store 2
Step-by-step explanation:
The given information are;
Hours worked in a week
Store 1
16, 28, 36, 40, 78
Store 2
22, 27, 33, 36, 40
Using an online application, we have;
For store 1
The range is 78 - 16 = 62
Mean = 39.6
Standard deviation ≈ 20.88 (Higher variability)
Median = 36
Lower quartile = 22
Upper quartile = 59
Interquartile range = 59 - 22 = 37
For store 2
The range is 40 - 22 = 18
Mean = 31.6
Standard deviation ≈ 6.41 (Lower variability)
Median = 33
Lower quartile = 24.5
Upper quartile = 38
Interquartile range = 38 - 24.5 = 13.5
Answer:
The correct answers are:
1) The data for store 1 shows greater variability.
3) The mean of the data for store 1 is greater than the mean of the data for store 2.
Step-by-step explanation:
I got these two correct on Edge 2021!
Have a nice day :)
What is the equation of a line through point (-4, 5) that is perpendicular to the line with equation y= -6x+4?
20 POINTS & I WILL GIVE BRAINLIEST
Answers
Answer:
i will help in a bit
Step-by-step explanation:
Question 6
A person standing 35 feet from a street light casts a shadow as shown. What is the height h of the street light? Assume the triangles
are similar
61
101
a
26 ft
30 ft
b
С
45 ft
27 ft
d
Answers
Answer:
Option (D)
Step-by-step explanation:
From the figure attached,
Since, ΔABD and ΔECD are the similar triangles,
Their corresponding sides will be proportional.
[tex]\frac{AB}{EC}=\frac{BD}{CD}[/tex]
[tex]\frac{h}{6}=\frac{(x+10)}{10}[/tex]
10h = 6(x + 10)
Since, the person is standing 35 feet from a street light,
x = 35 feet
By substituting the value of x in the equation,
10h = 6(35 + 10)
10h = 270
h = 27 ft
Therefore, height of the street light will be 27 feet.
Option (D) is the answer.
Which logarithmic equation is equivalent
to 25 = 32?
answer log232 = 5
Answers
5
5
5
5
5
5
Is 5 the answer?
Answer:
5
Step-by-step explanation:
EDG 2021
in the school there is 1 boy for every 4 girls. there is a total of 11 boys how many girls are in choir
Answers
Answer:
There are 33 girls in choir
Step-by-step explanation:
4 x 11 = 44 (we get four from the 1 boy for every 4 girls)
assuming that we have 44 kids in the class, 1/4 will be boys. 44/4 = 11 which means that we subtract 11 from 44 which will get you 33.
If there is a total of 11 boys. Then the number of girls in the choir will be 44 girls.
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
PEMDAS rule means the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.
In the school, there is 1 boy for every 4 girls.
If there is a total of 11 boys. Then the number of girls in the choir will be given as,
⇒ 11 x 4
⇒ 44 girls
If there is a total of 11 boys. Then the number of girls in the choir will be 44 girls.
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PLEASE HELP IF YOU GET RIGHT I GIVE BRAINLIEST
Answers
Answer:
i think 36
Step-by-step explanation:
brainliest?
Answer: 36
Step-by-step explanation:
45-27=18
18+18=36
Help me solve this problem please please
Answers
Answer: D. x > -1
Step-by-step explanation: