Answer:
the y intercept is (0, 3)
Step-by-step explanation:
y = mx + c
where m is the slope and c is the y-intercept
[tex]m = \frac{y_2 - y_1}{x_2 - x_1 }[/tex]
[tex]m = \frac{9 - -1}{-3 - 2 }[/tex]
[tex]m = \frac{10}{-5}[/tex]
[tex]m = -2[/tex]
hence, y = -2x + c
input a pair of values, in this case i will use (2, -1)
-1 = -2(2) + c
-1 = -4 + c
-1 + 4 = c
3 = c
y varies inversely with x if y = 7 when x =-4, find y when x = 5
Answer:
y = - [tex]\frac{28}{5}[/tex]
Step-by-step explanation:
Given y varies inversely with x then the equation relating them is
y = [tex]\frac{k}{x}[/tex] ← k is the constant of variation
To find k use the condition y = 7 when x = - 4, then
7 = [tex]\frac{k}{-4}[/tex] ( multiply both sides by - 4 )
- 28 = k
y = [tex]\frac{-28}{x}[/tex] ← equation of variation
When x = 5 , then
y = [tex]\frac{-28}{5}[/tex] = - [tex]\frac{28}{5}[/tex]
Someone please answer its due by midnight
Answer:
Look below :)
Step-by-step explanation:
1. coefficient
2. constant (it's referred to as a constant because the value never changes)
3. This polynomial has 4 terms. We know this by counting them. 5x^3 is one term, -x^2 is the second term, 5x is the third term, and -8 is the fourth term.
4. In descending order: 2, 1, 3, 4. The degree is the same value as the exponent. For the last term, x^2y^2, you add the values of the exponents together to get the degree.
5. -2 is the coefficient. The term with the third degree, or has 3 as the exponent, is -2x^3.
6. 1 is the coefficient. The term with the second degree is x^2. When the coefficient is 1, usually the 1 isn't written because any number multiplied by 1 equals that number (x * 1 = x)
7. 5 is the degree of the polynomial. To find the degree of a polynomial, find whichever term has the highest value for an exponent. In this case, 5 is the highest exponent.
8. 2 is the degree of this polynomial. Although none of the terms may look like they have a degree of 2, in order to find the actual degree of 4xy you have to add the values of the degree of x and y to find the actual degree. If x and y both have a degree of 1, you add those together to make 2.
9. 2[tex]x^{3}[/tex] - 7[tex]x^{2}[/tex] + 5x - 15. To order a polynomial from highest to lowest you have to order the terms in decreasing value of their exponents.
10. -4[tex]x^{3} y[/tex] + 2xy + 5x + 7.
I hope this helps :)
A ceramic sugar bowl weighs 340 grams when empty. It is then filled with sugar. One tablespoon of sugar weighs 12.5 grams. When the sugar bowl is full, it weighs 740 grams. How many tablespoons of sugar can the bowl hold? Show your reasoning.
what is the solution of the equation 4.5 - 6s=9
Answer:
s = -0.75
Step-by-step explanation:
PLEASE HELP!!! I NEED HELPPPPP!!! I HAVE 5 MINUTES TO DO THIS!!!!!
I have 10 minutes left someone help
Answer: there is no question. Its empty
Step-by-step explanation:
Answer:
with what
Step-by-step explanation:
Which of the following
relations is a function?
{(-2, 3), (4, 1), (0, 0), (-2, 2)}
{(1, 1), (2, 2), (1, 2), (2, 1)}
{(2,3), (3, 2), (6, 3), (3, 6)}
{(6,5), (5, 6), (3, 1), (1,3)}
Answer:
D
Step-by-step explanation:
6. 6
5. 5
3. 3
1. 1
1 output for each input
write an equation in slope-intercept form for the line with slope -3/5 and y-intercept -2. :))
Answer:
Step-by-step explanation:
Given m=-3/5 ; c = -2
y =mx + c
y= (-3/5)x -2
What is the unit rate for the cereal when it is 3/$10?
A $3/box
B $3.30/box
C $3.33/box
D $3.67/box
John has 3 ½ pounds of Skittles. He wants to share them with his friends. He decides to give ¾ pounds of Skittles to each friend. The leftover Skittles he keeps for himself.
Given :
John has 3 ½ = 7/2 pounds of Skittles.
He decides to give ¾ pounds of Skittles to each friend.
To Find :
How much the leftover Skittles are.
Solution :
Let, his number of bands are x.
So, amount of Skittles left is :
[tex]L= \dfrac{7}{2}-\dfrac{3x}{4}\\\\L = \dfrac{24-3x}{4}[/tex]
Therefore, amount of leftover Skittles are [tex]\dfrac{24-3x}{4}[/tex] pounds if number of friends are x.
Hence, this is the required solution.
Thomas earns extra money babysitting. He charges 45.50 for 5 hours and 72.80 for 8 hours. How much will thomas charge for 3 hours.
Billy jarred 3.87 liters of jam after 3 days. How many days does Billy need to jar 15.48 liters of jam in all?
Answer: 12 days
Step-by-step explanation:
3.87/3=1.29 liters of jam in 1 day
1.29*12=15.48 liters in 12 days
Answer:
12 days
Step-by-step explanation:
Using the Incenter P, find the measure of ∠ZPX.
117°
140°
64°
129°
42°
132°
Answer:
The measure of ∠ZPX is 63°
Step-by-step explanation:
The given parameters are;
The incenter of the triangle = P
m∠KXP = 31°, m∠PYJ = 27°, [tex]\overline {ZP}[/tex] = 20 feet
Given that the segment [tex]\overline {XJ}[/tex] from the vertex, X, passes through the incenter of the triangle, we have;
The segment [tex]\overline {XJ}[/tex] bisects ∠KXL to form ∠KXP and ∠LXP
Therefore, ∠KXP = ∠LXP = 31°
∠KXL = ∠KXP + ∠LXP = 31° + 31° = 62°
∠KXL = 62°
Similarly;
The segment [tex]\overline {YL}[/tex] bisects ∠KYJ to form ∠PYJ and ∠PYK
Therefore, ∠PYJ = ∠PYK = 27°
∠KYJ = ∠PYJ + ∠PYK = 27° + 27° = 54°
∠KYJ = 54°
In ΔXYZ, we have, ∠LZJ + ∠KYJ + ∠KXL = 180° based on the sum of the interior angles of a triangle postulate
∴ ∠LZJ = 180° - (∠KYJ + ∠KXL) = 180° - (54° + 62°) = 64°
∠LZJ = 64°
The segment [tex]\overline {ZK}[/tex] bisects ∠LZJ to form ∠PZL and ∠PZJ
Therefore, ∠PZL = ∠PZJ
∠LZJ = ∠PZL + ∠PZJ = 2 × ∠PZL = 64°
∠PZL = 64°/2 = 32° = ∠PZJ
In ΔZPX, we have;
∠PZL + ∠LXP + ∠ZPX = 180° based on the sum of the interior angles of a triangle postulate
∠ZPX = 180° - (∠PZL + ∠LXP) = 180° - (32° + 31°) = 63°
∠ZPX = 63°
The measure of ∠ZPX = 63°
A minimum temperature of -4.44°C was recorded at a lake. A minimum temprature of 23.3°C was recorded later on the same day. Determine the difference between these minimum and maximum temperatures.
Answer:
27.74 is the difference
Step-by-step explanation:
23.3° C - (-4.44° C)
23.3 + 4.44
27.74
Decrease £40 by 70%
please help! :)
Answer:
£12
Step-by-step explanation:
Please help me 15+ points for anyone who answers please answer
Answer:
d is your answer hope it helps
Answer:
D is the answer
Step-by-step explanation:
Trust
I need help please help me
Answer:
A, B and D
Step-by-step explanation:
The zeros of f(x) are the points located on the x- axis, that is where y = 0
We can check which ones are the solutions by finding the zeros of f(x)
To find the zeros let f(x) = 0 , that is
(x² + 2x - 8)(x - 6) = 0 ← factorise the quadratic
(x + 4)(x - 2)(x - 6) = 0
Equate each factor to zero and solve for x
x + 4 = 0 ⇒ x = - 4
x - 2 = 0 ⇒ x = 2
x - 6 = 0 ⇒ x = 6
There are 3 zeros at x = - 4, x = 2, x = 6
These are located at A, B and D
Answer:
A, D, B
Step-by-step explanation:
The roots (zeroes) are the x values where the graph intersects the x-axis. To find the roots(zeroes), replace y with 0 and solve for x.
Two rectangular picture frames have the same area of 45 square inches but have different side lengths. Frame A has a length of 6 3/4 inches, and Frame B has a length of 7 1/2 inches.
Answer:
frame b because it takes up more room than the other some it forces the other to be smaller
Step-by-step explanation:
Answer:
Step-by-step explanation
It is Frame B trust me it is bigger.
How do I graph the line y = -2/3x + 3
Answer:
From (0,3) you go down 2 point then go right 3 points
at a school the number of boys: number of girls = 11 : 9
there are 124 more boys than girls
work out the total number of students at the school
b = boys
g = girls
[tex]b:g=11:9, b=g+124[/tex]
[tex]b=11g/9[/tex]
Insert in the second equation
[tex]11g/9=g+124[/tex]
Solve for g
[tex]11g=9g+124\cdot9[/tex]
[tex]2g=124\cdot9\implies g=62\cdot9=\boxed{558}[/tex]
Solve for b
[tex]b=g+124=\boxed{682}[/tex]
Hope this helps.
Select two ratios that are equivalent to 7: 10.
Choose 2 answers:
21:30
17:20
10:13
26 : 40
35:50
Answer:
21:30 and 35:50
Step-by-step explanation:
To get 21:30, multiply 7:10 by 3.
[tex]7*3=21[/tex] and [tex]10*3=30[/tex].
To get 35:50, multiply 7:10 by 5. Same process as above!
Answer:
21:30 and 35:50
Step-by-step explanation:
your welcome
Priya is given the following Prime Factorisations: 45=3 x 3 x 5 and 105 = 3 x 5 x 7
She uses this information as follows:
The HCF of 45 and 105 is 15 and the LCM of 45 and 105 is 105.
Priya is wrong. What mistake has she made?
answers
105= 5×5×5
Step-by-step explanation:
priya is wrong because 105 factorism is 5×5×5
Answer:
105= 5×5×5
Step-by-step explanation:
Priya is wrong because 105 factorism is 5×5×5
Plzzzzzzzzzzz help im dumb
Answer:
C I did the test sorry if im wrong
Step-by-step explanation:
<3 Goodluck
can someone please help me
Answer:
when u divide both side by 2 the new equation will be y-5x=-3... and equation of a line is written in form of y=mx+c
so y=5x-3
Write the equation of the line in standard form
y
5
3
2
1
X
1
4
2
5
3
-1
-5
-4
-3
-2
-2-
-3
Answer:
(5,1)
(3,4)
(2,2)
(1,5)
Determine the equation of the graph with the coordinates of (4, -1)
O y = (x-4)2 - 1
O y=(x + 4)2 + 1
O y = (x + 4)2 - 1
O y = (x - 4)2 + 1
Answer:
The required equation of the graph with the coordinates of (4, -1) will be:
[tex]y=\left(x-4\right)^2-1[/tex]The graph is also attached.
Step-by-step explanation:
Given the coordinates (4, -1)
If we put the coordinate values (4, -1) in the given equations, we determine that only [tex]y=\left(x-4\right)^2-1[/tex] is the valid equation as it satisfies the given coordinate value.
For example, putting (4, -1) in the equation
[tex]y=\left(x-4\right)^2-1[/tex]
[tex]\left(-1\right)=\left(4-4\right)^2-1[/tex]
[tex]-1=\left(0\right)^2-1[/tex]
[tex]-1=0-1[/tex]
[tex]-1=-1[/tex]
So, the equation [tex]y=\left(x-4\right)^2-1[/tex] is true for the coordinate values (4, -1).
Therefore, the required equation of the graph with the coordinates of (4, -1) will be:
[tex]y=\left(x-4\right)^2-1[/tex]Please check, the graph is also attached.
simplify I know I spelled it wrong
Answer:A
Step-by-step explanation:
Answer:
D ) 25t + 10
Step-by-step explanation:
Re-order terms so constants are on the left:
(5t+2) 5
5 (5t +2)
Distribute:
5 (5t +2)
25t +10
Answer:
25t +10
What is 2/3 divided by 1/2 ?
A. 3/4
B. 4/3
C. 1/3
D. 1/4
Answer:
B. 4/3 is your answer dear.
Step-by-step explanation:
Solve
2/3 * 2/1
coz it is reciprocal .
you'll get 4/3
Hope you got it.
Whích best describes the range of the function f(x) = } 6)* after it has been reflected over the x-axis?
all real numbers
all real numbers less than 0
all real numbers greater than 0
O all real numbers less than or equal to 0
Answer:
c
Step-by-step explanation:
im right i took the test
Rewrite without parentheses. -3y^4(6y^3 -7y^2 - 3y)( click/tap on image to see.)
Answer:
I got -18y^7 + 21y^6 + 9y^5
Step-by-step explanation: