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Learning Task 4 : Do the following in your notebook.
A. Find the equation of the line given the graph.
Answers
Answer:
Question 3: y =x+2
Step-by-step explanation:
to find the equation use y=mx+c where m is the gradient/slope and c is the y intercept. In example 3, the y intercept is 2 so thats why the equation ends in +2, and the slope which is calculated by rise over run, is 2 over 2, or 1 so x doesnt need a coefficient.
Related Questions
When testing for current in a cable with eleven color-coded wires, the author used
required for every possible pairing of two wires?
meter to test two wires at a time.
The number of tests required is
Answers
The number of test required is: 55
Explanation:
Using combination formula:
n!/x!(n-x)!
= 11!/2!(9)!
= 55
Finding missing angles
Answers
Answer:
60
Step-by-step explanation:
The length of a straight line is 180
To find x subtract 180 by 120
180-120=60
Simplify.
-8 + 13
A. 5
B. -5
C. 21
Answers
Answer:
A.
Step-by-step explanation:
-8+13=5
hope this helps :3
if it did pls mark brainliest
Answer:
A. 5
Step-by-step explanation:
You can rewrite the equation as 13-8
Now that it is simpler you can solve it:
5
Hope this helps!
Classify the following: 9G-7
Answers
Answer:
Expression
Step-by-step explanation:
its expression
how many times does 32 go into 400
Answers
Answer:
3.4
Step-by-step explanation:
Each function below is a translation of the graph of the function f(x) = x^2. Match the function with the description of its relationship to the parent function.
Answers
Answer: h(x)=x^2-1: down 1
k(x)=x^2+1: up 1
m(x)=(x-1)^2: right 1
g(x)=(x+1)^2: left 1
Step-by-step explanation: just answered this question on edge 2020.
What is the solution of StartRoot 2 x + 4 EndRoot = 16? x = 6 x = 72 x = 126 no solution
Answers
Answer:
x=126
Step-by-step explanation:
C on edge just took the test.
[tex]x = 126[/tex] is the solution for equation [tex]\sqrt{2x+4}=16[/tex].
What is equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
Given equation
[tex]\sqrt{2x+4}=16[/tex]
Squaring on both sides
[tex](\sqrt{2x+4} )^{2} =16^{2}[/tex]
⇒ [tex]2x+4=256[/tex]
Subtract 4 on both sides.
⇒ [tex]2x +4-4=256-4[/tex]
⇒ [tex]2x = 252[/tex]
⇒ [tex]x =\frac{252}{2}[/tex]
⇒ [tex]x = 126[/tex]
[tex]x = 126[/tex] is the solution for equation [tex]\sqrt{2x+4}=16[/tex].
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A certain stylist charges $15 for a haircut and $30 for hair coloring. A haircut takes on average 30 minutes, while coloring takes 2 hours. The stylist works up to 8 hours in a day, and she needs to make a minimum of $150 a day to pay for her expenses.
a. Create a system of inequalities that describes the constraints in this situation. Be sure to specify what each variable represents
Answers
Answer:
3 hair colorings and 4 hair cuts
Step-by-step explanation:
The time for haircut is 2 hours and for coloring is 6 hours, haircut needs to make a minimum amount of $150.
What is amount?Amount is the multiplication of total number of quantities and total price.
Amount= number of quantity×price.
Given that,
The charges of haircut= $15 and time taken for haircut is 30 minutes,
The charges of coloring= $30 and time taken for coloring is 2 hours.
To make minimum $150 profit in 8 hours
Let in a day he spends x hours for haircut, the 8-x hours will be spent for coloring.
2×x×15+1/2×(8-x)×30≤150
30x-15x+120≤150
15x≤30
x≤2
So, x=2 hours(4 haircut),
then time for coloring = 8-2 = 6 hours (3 hair color)
And amount =4×15+3×30=150
So the time for haircut is 2 hours and for coloring is 6 hours.
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#13 If you sleep 32% of the year (12 months), how many months do you spend sleeping? Round your answer to the nearest tenth. *
Answers
Answer:
I think about 3.5 months or its 4 months
Step-by-step explanation:
32% is about 30% and 30% as a decimal is .3
12 * .3 = 3.6
3.6 rounded to the nearest tenth is 3.5 or 4
Correct me if I'm wrong
Which number has an absolute value that is less than 25?
Answers
Answer:
l-25l
Step-by-step explanation:
9. If H is the centroid of ABDF, DF = 50, CF = 42, and BH = 22, find each missing measure.
a) HE =
d) DE =
e) CH=
b) EF=
c) HF =
f) BE =
Answers
Answer:
HE=11
EF=25
HF=28
DE=25
CH=14
BE=33
Step-by-step explanation:
The measurements of the missing lengths are; HE = 11, DE = 25, CH = 14, EF = 25, HF = 28 and BE = 33
What is the centroid of a triangle?The centroid is a point in a triangle where all the three medians of the triangle intersects.
Given that, H is the centroid of the triangle BDF, DF = 50, CF = 42, and BH = 22,
Here, BE, CF and DG are the medians of Δ BDF
We know that,
The centroid divides the medians into two parts always, ratio 2:1
And the medians divide their corresponding sides into two equal parts.
a) HE =
BH/HE = 2/1
Let HE = x, therefore, BH/HE = 22/x = 2/1
HE = 11
b) DE = DF/2 = 50/2 = 25
c) CH = (CF/3)x1 = 42/3 = 14
d) EF = DE = DF/2= 25
e) HF = (CF/3)x2 = 14x2 = 28
f) BE = HE+BH = 22+11 = 33
Hence, Each of the missing measures are HE = 11, DE = 25, CH = 14, EF = 25, HF = 28 and BE = 33
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If f(x)=4x+5 what is f(4)
Answers
Answer:
Step-by-step explanation:
f(4) = 4(4) + 5
f4= 16 + 5
f4= 21
f = 21/4
f= 5.25
the residents of a city voted on whether to raise property taxes. the ratio of yes votes to no votes was 7 to 4. if there were 9339 total votes, how many no votes where there?
Answers
9514 1404 393
Answer:
3396
Step-by-step explanation:
The ratio tells you that out of every 7+4 = 11 votes, 4 of them were 'no' votes. Then the number of no votes is ...
(4/11)(9339) = 3396 . . . no votes
WILL MARK BRAINLIEST! Fill in the blanks. I genuinely need help so please only answer if you know, thank you!
Answers
Derermine the intercepts of the line x-intercept(____,___)
Y-intercept(____,____)
Answers
Answer:
x intercept(3, 0) y intercept(0, -10)
givin: 3x<-9 choose the solution set
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Answer: X < -3
4x- 2y = 8
2x + y =2
Answers
Answer:
x = 3/2 , y = -1
Step-by-step explanation:
I'm assuming that you are being asked to solve the system of equations for x and y.
given:
4x- 2y = 8 ---------------(1)
2x + y =2 -----------------(2)
We can solve this by elimination:
multiple (2) by 2, we get:
2(2x + y) =2(2)
4x + 2y = 4 ------------(3)
(1) + (3) , we get:
(4x- 2y) - (4x + 2y) = 8 + 4
8x = 12 (divide both sides by 8)
x = 12/8
x = 3/2 answer, substitute this into (2)
2(3/2) + y =2
3 + y = 2 (subtract 3 from both sides)
y = 2 - 3
y = -1 answer
Which of the following is equivalent to (2a+1)(2a+1)?
O (2a + 1)2
O 4a + 2
O 2(2a + 1)
O4a²+1
Answers
The equivalent expression is (2a + 1)².
Option (A) is correct.
What is a Polynomial?Polynomial, a mathematical expression made comprised of numbers and variables arranged in specific patterns. They serve as the foundation for solving algebraic equations.
As per the given data in the question:
We are given an expression, and we have to find out the equivalent expression from the given options in the question.
The expression is (2a + 1)(2a + 1)
For option (A). (2a + 1)²
In (2a + 1)(2a + 1) using associative multiplication.
= 2a.2a + 2a + 2a + 1
= 4a² + 4a + 1
Using the identity: a² + 2ab + b² = (a + b)²
4a² + 4a + 1 = (2a + 1)²
The equivalent expression is (2a + 1)².
Hence, The equivalent expression is (2a + 1)².
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I am so lost an I can't fail this class
Answers
12. They are congruent because of SAS (Side Angle Side) because segment WX is congruent to segment YZ and angle x is congruent to angle Z and segment XY is congruent to segment ZW
13. Angle 1 = 20° before 180 - 90 - 70 = 20
14. Angle 1 = 55° because 180 -80 - 45 = 55 the angles are congruent in both triangles so you can use the known numbers of one triangle to figure out the other
I hope this helps!
frazers scores 75% in a spelling test with 40 questions, how many did he get right?
Answers
Answer:
30
Step-by-step explanation:
25% is 10 and if you multiply that by 3 to get 75% the answer is 30
Brandon opened a credit card at a department store with an APR of 14.99% compounded monthly. What is the APY on this credit card? A. 1.25% B. 29.98% C. 16.06% D. 19.55%
Answers
Answer:
real annual rate= 0.1606 = 16.06%
Step-by-step explanation:
Giving the following information:
APR= 14.99% = 0.1499
First, we will determine the nominal monthly rate:
Nominal monthly rate= 0.1499/12
Nominal monthly rate= 0.01249
Now, to calculate the real annual rate, we need to use the following formula:
real annual rate= [(1 + Nominal monthly rate)^n] - 1
real annual rate= [(1.01249^12) - 1]
real annual rate= 0.1606 = 16.06%
What is the slope of the line on the graph?
Answers
Answer:
mx plus b
Step-by-step explanation:
the slope is 1 -2
Edith purchased a stove for $950. It depreciates about 0.7% each year. What is the value of the stove after six years?
Answers
Answer:
i can't figure out out srry
Step-by-step explanation:
it's really hard
Answer:
maybe d
Step-by-step explanation:
b. The cleaning company charged a total of $83 to clean Peter's house. How many hours did it take to
clean Peter's house?
Answers
Answer:
umm... the question is incomplete!!
Determine what type of number the solutions are and how many exist for the equation 3x^2+7x+5=0
Answers
Answer:
Two complex (imaginary) solutions.
Step-by-step explanation:
To determine the number/type of solutions for a quadratic, we can evaluate its discriminant.
The discriminant formula for a quadratic in standard form is:
[tex]\Delta=b^2-4ac[/tex]
We have:
[tex]3x^2+7x+5[/tex]
Hence, a=3; b=7; and c=5.
Substitute the values into our formula and evaluate. Therefore:
[tex]\Delta=(7)^2-4(3)(5) \\ =49-60\\=-11[/tex]
Hence, the result is a negative value.
If:
The discriminant is negative, there are two, complex (imaginary) roots. The discriminant is 0, there is exactly one real root. The discriminant is positive, there are two, real roots.Since our discriminant is negative, this means that for our equation, there exists two complex (imaginary) solutions.
The Verrazano Narrows Bridge has a main span of 3,260 feet. The Akashi Kaikyo Bridge has a main span that is about 54% longer. What is the length of the main span of the Akashi Kaikyo Bridge to the nearest foot?
Answers
Answer:
Rounding it to the nearest foot, the length of the main span of the Akashi Kaikyo Bridge is 5,020 feet.
Step-by-step explanation:
Given that the Verrazano Narrows Bridge has a main span of 3,260 feet, while the Akashi Kaikyo Bridge has a main span that is about 54% longer, to determine the length of the main span of this last bridge, the following calculation must be performed:
3,260 x 1.54 = X
5,020.4 = X
Thus, rounding it to the nearest foot, the length of the main span of the Akashi Kaikyo Bridge is 5,020 feet.
Which algebraic expression represents “the quotient of a number and thirty"?
30 + a
30a
30/a
a/30
Answers
Answer:
a/30
Step-by-step explanation:
quotient means divide
a/30 because "a number" was first in the expression
Answer:
a/30
Step-by-step explanation:
i took the test
[Insert Long, Boring, Smart, Explanation that deserves to be marked as Brainliest, and will be verified after about a year lol]
(-8, -8), slope is 3
Answers
Answer:
ok wdym by that is that a question ?
answer this if you want to be the brain list master
Answers
Answer:
3,240 / 9= 360\
360 boxes
Step-by-step explanation:
Answer:
360 boxes were used.
Step-by-step explanation:
write the expanded form of 4(3+4x-2), please help.
Answers
+2 +2 and this cancele each other
So 6(3+4x)
So 6*8x
-6. -6
= x=2