We can convert the line 7x + 3y = 15 into the slope-intercept form (y = mx + c) by making y the subject of the equation. In this form the coefficient of x (m) is the slope.
Since 7x + 3y = 15
3y = -7x + 15
y = - ⁷/₃x + 5
∴ the slope is NEGATIVE.
Check your answer:
A line with a negative slope is highest to the left and lowest to the right. This is because when x values increase, the y values decrease, and when x values decrease, y values increase (the two variables are negatively related). If we graph the line this should be true, and it is.
If x =- 5, which expression is equivalent to - 40k – x)?
A. – 4(k – 5)
B. – 40k + 5)
C. – 4(- 5k)
D. – 40k + (-5))
Answer:
B
Step-by-step explanation:
x = -5
Put in -5 for x, and expand:
-40(k-x) = -40(k+5)
B. -40(k+5)
A 144-inch board is cut into two pieces. One piece is five times the length of the other. Find the length of the shorter piece.
The shorter piece is inches long.
Answer:
shorter piece is 28.8 inches
Step-by-step explanation:
Answer28.8
Step-by-step explanation:
28.8 x 5 = 144
Find h. h - 6 = 5
(A) 5
(B) -1
(C)11 (D)6
Answer:
C
Step-by-step explanation:
15.35m rounded to the nearest whole number
Answer:
The answer is 15m
Step-by-step explanation:
The meaning whole number means an actual whole number, decimals are just part's of a whole number, so excluding decimals:
If you look at 5 and compare it to 3 following next, 3 is not higher then 5 and therefore is rounded down.
Hope this helps!
Pls help me:
1) 3/5 ÷ 3=
2 )2÷ 2/5=
Check the image below
Simplify: [5×(25)^n+1 - 25 × (5)^2n]/[5×(5)^2n+3 - (25)^n+1]
[tex] \green{\large\underline{\sf{Solution-}}}[/tex]
Given expression is
[tex]\rm :\longmapsto\:\dfrac{5 \times {25}^{n + 1} - 25 \times {5}^{2n} }{5 \times {5}^{2n + 3} - {25}^{n + 1} } [/tex]
can be rewritten as
[tex]\rm \: = \: \dfrac{5 \times { {(5}^{2} )}^{n + 1} - {5}^{2} \times {5}^{2n} }{5 \times {5}^{2n + 3} - {( {5}^{2} )}^{n + 1} } [/tex]
We know,
[tex] \purple{\rm :\longmapsto\:\boxed{\tt{ {( {x}^{m} )}^{n} \: = \: {x}^{mn}}}} \\ [/tex]
And
[tex] \purple{\rm :\longmapsto\:\boxed{\tt{ \: \: {x}^{m} \times {x}^{n} = {x}^{m + n} \: }}} \\ [/tex]
So, using this identity, we
[tex]\rm \: = \: \dfrac{5 \times {5}^{2n + 2} - {5}^{2n + 2} }{{5}^{2n + 3 + 1} - {5}^{2n + 2} } [/tex]
[tex]\rm \: = \: \dfrac{{5}^{2n + 2 + 1} - {5}^{2n + 2} }{{5}^{2n + 4} - {5}^{2n + 2} } [/tex]
can be further rewritten as
[tex]\rm \: = \: \dfrac{{5}^{2n + 2 + 1} - {5}^{2n + 2} }{{5}^{2n + 2 + 2} - {5}^{2n + 2} } [/tex]
[tex]\rm \: = \: \dfrac{ {5}^{2n + 2} (5 - 1)}{ {5}^{2n + 2} ( {5}^{2} - 1)} [/tex]
[tex]\rm \: = \: \dfrac{4}{25 - 1} [/tex]
[tex]\rm \: = \: \dfrac{4}{24} [/tex]
[tex]\rm \: = \: \dfrac{1}{6} [/tex]
Hence,
[tex]\rm :\longmapsto\:\boxed{\tt{ \dfrac{5 \times {25}^{n + 1} - 25 \times {5}^{2n} }{5 \times {5}^{2n + 3} - {25}^{n + 1} } = \frac{1}{6} }}[/tex]
The table below shows the number of red, blue, and white ribbons won by 4 girls during last years gymnastic season
Which girl had the largest ratio of red ribbons to her total ribbons?
Answer: B or D
Step-by-step explanation:
Karens ration is 5:15 whilst chens is 6:19
1/3 of 15 is gonna be 5, while 19 is gonna be around 6.3
I got 1/3 cause there is 3 colors, and red is one of them, since the question is asking about the total. I would be leaning more towards B though.
Answer:
Chen: 6/19
Step-by-step explanation:
Anne: 2/14 = 0.142
Karen: 5/15 = 0.133
Janice: 4/14 = 0.285
Chen: 6/19 = 0.316
A number is at most -5 or at least 0, but how do you graph it?
Answer:
Step-by-step explanation:
i am not really fully sure
Find the slope of the line that passes through (1, 2) and (10, 10).
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
Answer:
8/9
Step-by-step explanation:
10-2/10-1=8/9
slope=8/9
Answer:
8/9
Step-by-step explanation:
Here,
(1,2)=(x1,y1)
(10,10)=(x2,y2)
Now,
Slope(m)=(y2-y1)/(x2-x1)
=(10-2)/(10-1)
=8/9
(-0.4)^2 sum pls i need this by tonight i have to finish my math corrections pls
Answer:
(-0.4)²
= -0.4×-0.4
product of two negative numbers is positive
so, 0.4×0.4
=4/10×4/10
=16/100
=0.16
y=f(x)=x+3÷2,x€{1,5,-3
Answer:
Yo use gauth mathhhhhhh
plz help thxxxxxxxxxxxxxxxxxx
Answer:
slope is positive 2/1
Step-by-step explanation:
Answer:
a) the slope is 2 because the line goes from (4,1) to (5,3)
I d k any of the bonus questions tho sorryyyy
Step-by-step explanation:
Another one I'm not very good with algebra.
Answer:
A mayb
Step-by-step explanation:
175/ 1/3
=58+17
=75
you borrow 3000 from the bank to buy your first car the interest rate 5 how much money will you owe the bank at the end of the year
Answer:
£3150
Step-by-step explanation:
First you divide 5 by 100.
5% Interest Rate = 0.05
Then you times 3000 by 0.05.
3000 × 0.05 = 150
Then your add your answers together.
3000 + 150 = 3150
Answer:
£3150
Step-by-step explanation:
is the correct 1
What is the sum of 1 + 1?
1 + 1 = 2
Have a beautiful and joyful day ahead.
Answer:
1+1= 2
have a nice day stay safe <3
If Bryan had 2 apples and one of them is gone what happen to the other apples
Answer:
other apples should also be taken by another person and Bryan had no apples left.
Step-by-step explanation:
what is the answer of this? 4x²-9y²+36y-36=0
Answer:
x = + - 3(y-2)
this it ut
Answer:
It will be the oval, yw :)
HELP!!!
Jacob and Paul are playing a game of cards. After the first round, Jacob said that Paul's score would be twice his own score if he earned 7 more points.
Paul responded to Jacob by telling him his score was only 6 points higher then Jacobs.
PART A. write a system of equations to represent each of the boys statements. Be sure to specify what your variables represent.
PART B. If they both are correct. How many points did each if the boys score?
Answer:
A. y=x2 - 7
y=x + 6
B. 7
Answer:
A.) 2x = y + 7
y = x + 6
The variable "x" would represent Jacob's score and the variable "y" would represent Paul's score in each equation. In the first equation, 2x would represent Jacob's score multiplied by 2, and 7 would represent the amount of points needed in order for Paul to have double Jacob's score. In the second equation, 6 would represent the amount of points needed in order for Jacob's score to be equal to Paul's score.
B.) They are both correct so Jacob's score is 13 points and Paul's is 19.
6 + 7 = 13 (the difference between scores in both equations)
6 would represent the amount that Paul is above Jacob's score and 7 would represent the amount that Paul would have to score to get two times Jacob's score. So, this shows that Paul would have 26 points if he had double the amount of Jacob's score and 26 ÷ 2 = 13.
Hope This Helps!
Determine a series of transformations that would map polygon ABCDE onto polygon A’B’C’D’E’?
Answer:
1. reflection over y axis
2. dilation over the origin with scale factor of 3
Step-by-step explanation:
1. reflection about y axis
2. dilation over the origin (0,0) with scale factor of 3
ABCD is a rectangle and AC and BD are its diagonals. If AC = 10 cm, then BD is?
A. 10 cm
B. 5 cm
C. 15 cm
Or D. 20 cm
Lemme know, take ur timeee
Answer:
A. 10 cm
Step-by-step explanation:
In a right angled triangle, a² + b² = c² where c is the diagonal or hypotenuse. If you split a rectangle diagonally into two right angle triangles, the a and b of both triangles would be the same length. Therefore, the c or diagonals would also be the same length - 10 cm.
Hope this helps!
-11-10-9
show steps for your answer
Answer:
-11-10=-21
-21-9= -30
what is x?
-6x+6=-12
(if you can show your work please do :)
Answer:
x = 3
Step-by-step explanation:
-6x + 6 = -12
Subtract 6 on both sides
-6x + 6 -6 = -12 -6
-6x = -12 - 6
Simplify
-6x = -18
Divide by -6 on both sides
-6x/-6 = -18/-6
Simplify
x = 3
Solve for x
9x+7=30
round to the nearest tens digit.
Please help :)
Find the equation that passes through (2, 2) and is parallel to 2y + 4x = 4.5
Answer:
Line passing through (2,2) is parallel to X - 2Y = 4, so, the slope is same as given line.
m = -a/b = -1/-2 = 1/2
The equation is
(Y - Y1) = m(X - X1) => Y - 2 = 1/2(X - 2) =>
2Y - 4 = X - 2 => | X - 2Y = -2 |
find tge equation of the line
Answer:
y = -2x + 9 or y = 9 - 2x
Step-by-step explanation:
First find the gradient
Pick two points on the graph, (4, 1) and (1,7)Find the change in y (7 - 1 = 6)Find the change in x (1 - 4 = -3)Divide the change in y by the change in x = 6 ÷ -3 = -2The gradient is -2: y = -2x + cNext, look at where the line intercepts (goes through) the y-axis: 9
The equation of the line is y = -2x + 9
Tip: The gradient is negative because the line is going downwards from left to right; if the line was going upwards, the gradient would be positive.
Hope this helps!
What is the slope of the line whose equation is -48 = 2x - 8y?
Enter your answer in the box.
Answer:
The slope is [tex]\frac{2}{8}[/tex]
Step-by-step explanation:
Take the general equation of a straight line [tex]y = mx+c[/tex]
Here [tex]m[/tex] is the slope of the line.
So let's get the equation of the line in the question in the same form.
[tex]-48 = 2x-8y[/tex]
Add [tex]8y[/tex] to both sides: [tex]8y - 48 = 2x[/tex]
Add [tex]48[/tex] to both sides: [tex]8y = 2x + 48[/tex]
Divide by [tex]8[/tex] to get it into the general equation: [tex]y = \frac{2}{8} x + 6[/tex]
Now compare it to the general equation to find the value of [tex]m[/tex]. The value of [tex]m[/tex] is the coefficient of [tex]x[/tex] which we can see is [tex]\frac{2}{8}[/tex]
find the nth term of 11, 20, 35, 56, 83, . . .
nth number is 83 hope you understand my answer thanks
Answer: 3n^2 + 8
Step-by-step explanation:
an^2 + bn + c
It is a quadratic sequence
11, 20, 35, 56, 83
+8 +15 +21 +27
+6 +6 +6
a + b + c
4a + 2b + c
9a + 3b + c
4a + 2b + c - a + b + c = 20 - 11
4a + 2b + c - a + b + c = 9
3a + b = 9
9a + 3b + c - 4a + 2b + c = 35 - 20
5a + b = 15
-2a = -6
a = -6/-2
a = 3
Substitute to find the values of b & c
For b
5(3) + b = 15
15 + b = 15
b = 15 - 15
b = 0
For c
9(3) + 3(0) + c = 35
27 + c = 35
c = 35 - 27
c = 8
3n^2 + 0n + 8
3n^2 + 8
(6d+5)−(2−3d) find the difference
Answer:
10d
Step-by-step explanation:
6d+5 =11d
2-3d = -1d
11d-1d= 10d
Describe and correct the error.
29. |-13|-|13|
=-13-13
=-26
30. -6(x-5)
=-6x-30
42 points giv away PLZ ANSWER RN (5/8+3/4) divided by (-2/3 - 5/6)
Answer:
when you divide you get -11/12
if you have a calculator you could add the 5/8 and 3/4
then add the -2/3 and the -5/6
then divide the first answer by the second answer
Answer:
[tex] \frac{( \frac{5}{8} + \frac{3}{4}) }{( - \frac{ 2}{3} - \frac{5}{6} )} \\ \\ \\ \frac{( \frac{5}{8} + \frac{6}{8}) }{( - \frac{4}{6} - \frac{5}{6} ) } \\ \\ \\ \frac{ (\frac{5 + 6}{8}) }{( \frac{ - 4 - 5}{6} )} = \frac{( \frac{11}{8} )}{( - \frac{9}{6} )} \\ \\ \\ \frac{11}{8} \div ( - \frac{9}{6} ) \\ \\ \\ \frac{11}{8} \times ( - \frac{6}{9} ) \\ \\ \\ \frac{11}{8} \times ( - \frac{2}{3} ) \\ \\ \\ \frac{11}{4} \times ( - \frac{1}{3} ) \\ \\ \\ = - \frac{11}{12} \\ \\ \\ = - 0.91666[/tex]
I hope I helped you^_^