Answer: A
Step-by-step explanation:
The equation given is y=1/2x-3. The y-intercept is the contant. It does not have any variable attached to it. The y-intercept is -3.
Answer:
A. -3
Step-by-step explanation:
The y intercept of a equation will always be the one that's has no variable beside it
Example: y=2x+5
In this equation, 5 is your y intercept
And 2 is your slope
Hope this helps!
What is the equation of a trend line that passes through the points (7,450) and (14,401).
Answer:
y = -7x + 499
Step-by-step explanation:
Slope-Intercept Form: y = mx + b
Slope Formula: [tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]
Step 1: Find slope m
m = (401 - 450)/(14 - 7)
m = -49/7
m = -7
y = -7x + b
Step 2: Find b
450 = -7(7) + b
450 = -49 + b
499 = b
Step 3: Rewrite equation
y = -7x + 499
the qestion is in the picture
Answer:
25 students are in the class.
Step-by-step explanation:
There are 3/5 girls, and there are 10 boys, so there are 2/5 boys. 5/5 is the whole class, so here is how we would solve it: 2/5=10 3/5=15, 10+15=25. Hope this helps!
Find the area of triangle ABC whose vertices are
A (-5, 7), B (-4, -5) and C (4, 5).
Answer:
[tex]Area = 51\:unit^2[/tex]
Step-by-step explanation:
[tex]Area = \sqrt{p(p-a)(p-b)(p-c)}\quad and \quad p=\frac{a+b+c}{2}[/tex]
Find the distance between three points.
[tex]\overline{AB}=\sqrt{\left(-4-\left(-5\right)\right)^2+\left(-5-7\right)^2}=12\\\\\overline{BC}=\sqrt{\left(4-\left(-4\right)\right)^2+\left(5-\left(-5\right)\right)^2}=12.8\\\\\overline{AC}=\sqrt{\left(4-\left(-5\right)\right)^2+\left(5-7\right)^2}=9.2[/tex]
[tex]p=\frac{12+12.5+9.2}{2}=16.9[/tex]
[tex]Area = \sqrt{16.9\left(16.9-12\right)\left(16.9-12.8\right)\left(16.9-9.2\right)}\\\\=51\:unit^2[/tex]
Best Regards!
Answer:
53 sq.unitssolution,
A(-5,7)--->(X1,y1)
B(-4,-5)-->(x2,y2)
C(4,5)--->(X3,y3)
Now,
Area of triangle:
[tex] \frac{1}{2} (x1(y2 - y3) + x2(y3 - y1) + x3(y1 - y2) \\ = \frac{1}{2} ( - 5( - 5 - 5) + ( - 4)(5 - 7) + 4(7 - ( - 5) \\ = \frac{1}{2} ( - 5 \times ( - 10) + ( - 4) \times ( - 2) + 4 \times 12) \\ = \frac{1}{2} (50 + 8 + 48) \\ = \frac{1}{2} \times 106 \\ = \frac{106}{2} \\ = 53[/tex]
hope this helps...
Good luck on your assignment..
what is the solution to the system of equations? A. (7,4) B. (7,13/3) C. (8,14/3) D. (9,7)
Answer:
B. (7, 13/3)
Step-by-step explanation:
Since the graph doesn't show the intersecting point, we must use algebra to solve this (Substitution or elimination).
Step 1: Substitute y
1/3x + 2 = 4/3x - 5
Step 2: Isolate x
-x + 2 = -5
-x = -7
x = 7
Step 2: Find y using x
y = 1/3(7) + 2
y = 7/3 + 2
y = 13/3
functions.
Which values are within the domain of the function?
Check all that apply.
st
x= -6
x=-4
2
1 x= -2
LED x = 0
-4
-2
2
4
I x = 2
0 x = 4
-2.
-4
Answer:
2,5 and 6
Step-by-step explanation:
The answer is going to be option 2, 5 and 6 because the line touches -4,2 and 4 on the x axis. And these are the x values so that's why this is going to be the answer.
Hope this information helps you!
x=-2, x=-4, x=2 and x=4 values are within the domain of the function
What is a function?A relation is a function if it has only One y-value for each x-value.
The domain of a function is the set of all possible inputs for the function.
If a function f provides a way to successfully produce a single value y using for that purpose a value for x then that chosen x-value is said to belong to the domain of f.
x=2, x=4, x=5, x=-2, x=-4 are the values in domain
Hence, x=-2, x=-4, x=2 and x=4 values are within the domain of the function
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Which set of side lengths forms a right triangle?
Answer:
15, 36, 39
Step-by-step explanation:
Use the Pythagorean theorem.
a² + b² = c²
2² + 3² ≠ 13²
4² + 6² ≠ 10²
9² + 12² ≠ 18²
15² + 36² = 39²
Answer:
15 , 36 , 39Step-by-step explanation:
[tex]Lets -test-using ;\\Pythagoras -Theorem=\\a^2+b^2=c^2\\\\(A.) 2,3,13\\2^2 +3^2 = 13^2\\13 = 169\\WRONG\\\\(B.) =4,6,10\\4^2+ 6^2 =10^2\\16+ 36 = 100\\52 = 100\\WRONG\\(C.) 9,12,18\\9^2+12^2=18^2\\225 = 324\\WRONG\\\\(D.) 15 , 36 ,39\\15^2 +36^2 = 39^2\\1521=1521\\\\CORRECT[/tex]
Anita purchased apples priced at $1.79 per pound at the grocery store. Her receipt shows that she spent $5.37 on apples.
Answer:
She bought 3 pounds of apples.
Step-by-step explanation:
First we look at our given steps:
1 pound of apples=$1.79
total=$5.37
We need to divide her total by the cost per pounds of apples. So 5.37/1.79=3.
The number of pounds Anita purchased is 3.
How many pounds did Anita purchase?Given: $1.79 per pound, spent $5.37 on apples
We must divide her aggregate by the cost per pound of apples.
Number of pounds = Total Spent / Amount per pound
Number of pounds = 5.37/1.79
Number of pounds = 3.
The number of pounds Anita purchased is 3.
Therefore, the number of pounds is 3.
The completed question is,
Anita purchased apples priced at $1.79 per pound at the grocery store. Her receipt shows that she spent $5.37 on apples. Type the correct answer in the box.
To learn more about the algebraic expression
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Stacey wishes to make a hamburger which is lower in fat without having to give up the great taste. She purchases 5 pounds of ground beef which is 15% fat and combines it with 7 pounds of ground turkey which is only 3% fat. What is the percentage of fat in the mixture?
Answer:
%P = 8%
the percentage of fat in the mixture is 8%
Step-by-step explanation:
Given;
The percentage of fat in the mixture is;
%P = total mass of fat in mixture/total mass of mixture × 100%
%P = F/T × 100% ….....1
Mass of fat in mixture is;
She purchases 5 pounds of ground beef which is 15% fat
F1 = 15% of 5 pounds = 0.15×5 pounds
F1 = 0.75 pound
and combines it with 7 pounds of ground turkey which is only 3% fat
F2 = 3% of 7 pounds = 0.03 × 7
F2 = 0.21 pound
Total mass F = F1 + F2
F = 0.75+0.21
F = 0.96 pound
Total mass of mixture T = 5 + 7 pounds
T = 12 pounds.
From equation 1,
%P = F/T × 100%
%P = 0.96/12 × 100%
%P = 0.08×100%
%P = 8%
the percentage of fat in the mixture is 8%
Mr. sanders recorded the amount he spent on gas each month to see if it would be cheaper to take the train to work. According to the table, what was the rate of change between January and May? Answers A) $67 Per Month B) $50 Per Month C) $53 Per Month D) $0 Per Month
Answer:
D) $0 Per Month.
Step-by-step explanation:
In January, Mr. Sanders spent $50 on gas. In May, Mr. Sanders spent $50 on gas. The amount that he spent on gas did not change from January to May, so the rate of change between January and May is D) $0 Per Month.
Hope this helps!
Which of the following is the correct factored form of the given equation?
Answer: 3
Step-by-step explanation:
Which expression simplifies to 4 √13
√208
√17
√29
√52
Answer:
√208
Step-by-step explanation:
Step 1: Convert 4 to √
4² = 16
4 = √16
Step 2: Multiply radicals
√16(√13) = √208
Answer:
[tex]\sqrt{208}[/tex]
Step-by-step explanation:
Getting this answer can simply be achieved by process of elimination. I started dividing [tex]\sqrt{208}[/tex] by numbers that I knew had perfect squares, and eventually I found 16.
[tex]\sqrt{208}[/tex]
/\
[tex]\sqrt{16}[/tex] [tex]\sqrt{13}[/tex]
[tex]4\sqrt{13}[/tex]
As you can see above once I got 16 and 13, I found the square root of 16, which was four, and I checked to see if I could find the square root of 13 as well, but unlike 16 it doe snot have a perfect square.
Horatio is solving the equation Negative three-fourths + two-fifths x = StartFraction 7 Over 20 EndFraction x minus one-half. Which equations represent possible ways to begin solving for x? Check all that apply. Two-fifths x = StartFraction 7 Over 20 EndFraction x + one-fourth Two-fifths x = StartFraction 7 Over 20 EndFraction x + five-fourths Negative three-fourths = negative StartFraction 1 Over 20 EndFraction x minus one-half Negative three-fourths = three-fourths x minus one-half Negative three-fourths + StartFraction 1 Over 20 EndFraction x = negative one-half
Answer:
x = 5
Step-by-step explanation:
Step 1: Write equation
-3/4 + 2/5x = 7/20x - 1/2
Step 2: Subtract 7/20x on both sides
-3/4 + 1/20x = -1/2
Step 3: Add 3/4 to both sides
1/20x = 1/4
Step 4: Divide 1/20 on both sides
x = 5
Answer: Answer: The answer is A,C,E
A: 2/5x = 7/20 x+ 1/4
C: -3/4 = -1/20 x -1/2
E: -3/4 + 1/20 x= -1/2
Jenny is solving the equation 3 x + 5 = 4 x + 2 using algebra tiles. She cannot decide if she should add 3 negative x-tiles or add 2 negative unit tiles to both sides first. Which explains which Jenny should do first?
Jenny could technically do any of them, first or second. It doesn't matter, as long as you do the same to both sides, the two sides are still equal
Answer:
C
Step-by-step explanation:
correct on edgen i took the test
What is 2x + 2x + 2 = 4x + 2
Answer:
I think the answer is 33 I'm not sure but that is what I got
Situation:
Find the age of the mammal hide to the nearest
year.
A farmer in China discovers a mammal
hide that contains 76% of its original
amount of C-14.
Enter the correct answer.
DONE
N= Noekt
DOO
GO
No = inital amount of C-14 (at time
t = 0)
N = amount of C-14 at timet
k = 0.0001
t = time, in years
Find the age of the mammal hide to the nearest
The answer is 3425.
Be safe!
-Eli
:))
An: The person above is wrong the answer is actually 2744.
Step-by-step explanation:
AWARDING BRAINIEST
Find the perimeter of the following shape, rounded to the nearest tenth:
a coordinate plane with quadrilateral ABCD at A negative 2 comma 0, B 0 comma negative 2, C negative 3 comma negative 5, D negative 5 comma negative 3
A) 10
B) 11.3
C) 12
D) 14.1
good morning :)
I want to exchange $500 to yen. How many yen will I receive if the rate of a Japanese yen to the U.S. dollar is 116.22 to 1?
A. 58,115 yen
B. 58,110 yen
C. 5,811 yen
D. 4.3 yen
Answer: B ¥58,110
Step-by-step explanation:
$1 = ¥116.22
$500 = ?
= 500 x 116.22
= 58,110
Answer:
B
Step-by-step explanation:
Which rule describes the composition of transformations
that maps ABC to A'B'C"?
Answer:
Step-by-step explanation:
To get from ABC to A'B'C', ABC is reflected across line m.
To get from ABC to A"B"C", ABC need to first be reflected across line m. Then, it needs to be rotated 90° clockwise to get to A"B"C".
I'm not exactly sure which one you were trying to get (so I just added both), because you said A'B'C", instead of A'B'C' or A"B"C", but I really hope this answers your question!
The rule which describes the composition of transformations that maps ABC to A'B'C' is,
⇒ reflect across the line m.
We have to given that,
To find the rule which describes the composition of transformations that maps ABC to A'B'C'.
Here, The triangle ABC and it's image A'B'C' is shown in image.
Clearly, Image of triangle ABC is reflect across the line m.
Thus, the rule which describes the composition of transformations that maps ABC to A'B'C' is,
⇒ reflect across the line m.
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Please answer this question in two minutes
Answer:
(7.5 , 5.5)
Step-by-step explanation:
The midpoint is halfway between the two end points:
Its x value is halfway between the two x values
Its y value is halfway between the two y values
To calculate it:
Add both "x" coordinates, divide by 2
Add both "y" coordinates, divide by 2
what is the square root of 9/49
Answer:
[tex] \pm \frac{3}{7} [/tex]
Step-by-step explanation:
[tex] \huge \sqrt{ \frac{9}{49} } = \pm \frac{3}{7} \\ [/tex]
The points A (-3, b), and B (1, 3) are 5 units apart. Find the value of b.
Answer:
b = 0
Step-by-step explanation:
To find the value of b, we will follow the steps below;
Using the distance formula:
D = √(x₂-x₁)² + (y₂-y₁)²
from the question given,
A (-3, b), this implies
(-3, b) = (x₁ ,y₁)
x₁=-3 and y₁ = b
similarly
B (1, 3)
(1, 3) = (x₂,y₂)
this implies
x₂ = 1 and y₂=3
D= 5
we can now proceed to insert the values into the formula and then solve for b
D = √(x₂-x₁)² + (y₂-y₁)²
5 = √(1+3)² + (3-b)²
5 = √4² + (3-b)²
5=√16 + (3-b)²
take the squares of both-side of the equation
5² = 16 + (3-b)²
25 = 16 + (3-b)²
subtract 16 from both-side of the equation
25 - 16 = (3-b)²
9 = (3-b)²
Take the square root of both-side
√9 = 3-b
3 = 3-b
add b to both-side of the equation
3 + b = 3 - b+ b
3 + b = 3
subtract 3 from both-side of the equation
3+b-3 = 3-3
b = 0
Therefore, the value of b is 0
Which one of the following is the graph of:
Answer:
B
Step-by-step explanation:
Correct if wrong
Select the correct answer.
Based on the data in this two-way table, if a girl is randomly selected, what is the probability that she will have above-average grades?
Gender/Grade Below Average Above Average Total
Boy 14 23 37
Girl 16 22 38
Total 30 45 75
A.
0.29
B.
0.51
C.
0.58
D.
0.60
Answer:
Answer is C. 0.58
Step-by-step explanation:
22/38 = 0.57 something rounded to 58
What is the percent equivalent for 1/5? A. 0.2% B. 0.5% C. 20% D. 50%
Answer:
20%
Step-by-step explanation:
1/5 = 2/10. 2/10 = 0.2, or 20 hunderedths, or 20%.
Triangles Very Easy PIC INCLUDED
Answer:
sin30° and cos60°
Step-by-step explanation:
We can see that we can use multiply trig identities to solve for r:
sin30° = r/20
r = 20sin30°
cos60° = r/20
r = 20cos60°
Which compound inequality can be used to solve the inequality 13x+2 >7?
RE
-7 <3x+2> 7
ОООО
-7> 3x+2> 7
3x + 2 >-7 or 3x + 2 >7
3x + 2<-7 or 3x + 2 >7
Answer:
(D)[tex]3x+2 < -7$ or $3x+2 >7[/tex]
Step-by-step explanation:
Given the absolute inequality: [tex]|3x+2| >7[/tex]
When solving absolute inequalities, if the problem has a greater than sign we set up an "OR" compound inequality that looks like this:
(Expression inside absolute value) < - (number on other side) OR (Expression inside absolute value) > (number on other side)Therefore, for the absolute inequality |3x+2| >7, we have:
[tex]3x+2 < -7$ or $3x+2 >7[/tex]
The correct option is D.
15
Find the values of x in this equation: x-
-= 2.
х
A.
-7,3
B.
-5, 2
C.
-7,5
D.
-2,5
E.
-3,5
Reset
Next
Answer:
Option (E)
Step-by-step explanation:
Expression given in the attachment,
[tex]x-\frac{15}{x}=2[/tex]
By multiplying with x on both the sides of the given equation,
x² - 15 = 2x
x² - 2x - 15 = 0
x² - 5x + 3x - 15 = 0
x(x - 5) + 3(x - 5) = 0
(x + 3)(x - 5) = 0
(x + 3) = 0
x = -3
And (x - 5) = 0
x = 5
Therefore, x = -3, 5 are the solutions of the given equation.
Option (E) will be the answer.
Simplify the following expression (62)4
Answer:
[tex]3^{0} =1[/tex]
Step-by-step explanation:
can someone help ???
Answer: 450
Step-by-step explanation:
971 = B + (T+71)
971-71 = 2 B
450 = B
What is the nth term rule of the quadratic sequence below? 7, 14, 23, 34, 47, 62, 79
Answer:
Tn = Tn-1 + 2(n-1) + 5
Kindly note that Tn-1 means T subscript n-1
Step-by-step explanation:
Here, we want an expression for the nth term.
First term is 7
Then first common difference is 7
second common difference is 7 + 2
Third common difference is 9 + 2
So within the common differences, the nth term is 7 + (n-1) 2
Now, the nth term of the series would be;
Tn = Tn-1 + 7 + 2(n-1)
Tn = Tn-1 + 7 + 2n -2
Tn = Tn-1 + 2n + 5
Now there is a fix to this,
n for the term is not the same n for the common difference.
the 7th term works with the 6th common. difference, while the 8th term work for the 7th common difference.
So we might need to rewrite the final expression as follows;
Tn = Tn-1 + 2(n-1) + 5