Answer:
Step-by-step explanation:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
y-(-7/3*x-6)=0
STEP
1
:
7
Simplify —
3
Equation at the end of step
1
:
7
y - ((0 - (— • x)) - 6) = 0
3
STEP
2
:
Rewriting the whole as an Equivalent Fraction
2.1 Subtracting a whole from a fraction
Rewrite the whole as a fraction using 3 as the denominator :
6 6 • 3
6 = — = —————
1 3
Equivalent fraction : The fraction thus generated looks different but has the same value as the whole
Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator
Adding fractions that have a common denominator :
2.2 Adding up the two equivalent fractions
Add the two equivalent fractions which now have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:
-7x - (6 • 3) -7x - 18
————————————— = ————————
3 3
Equation at the end of step
2
:
(-7x - 18)
y - —————————— = 0
3
STEP
3
:
Rewriting the whole as an Equivalent Fraction :
3.1 Subtracting a fraction from a whole
Rewrite the whole as a fraction using 3 as the denominator :
y y • 3
y = — = —————
1 3
STEP
4
:
Pulling out like terms :
4.1 Pull out like factors :
-7x - 18 = -1 • (7x + 18)
Adding fractions that have a common denominator :
4.2 Adding up the two equivalent fractions
y • 3 - ((-7x-18)) 3y + 7x + 18
—————————————————— = ————————————
3 3
Equation at the end of step
4
:
3y + 7x + 18
———————————— = 0
3
STEP
5
:
When a fraction equals zero :
5.1 When a fraction equals zero ...
Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.
Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.
Here's how:
3y+7x+18
———————— • 3 = 0 • 3
3
Now, on the left hand side, the 3 cancels out the denominator, while, on the right hand side, zero times anything is still zero.
The equation now takes the shape :
3y+7x+18 = 0
Equation of a Straight Line
5.2 Solve 3y+7x+18 = 0
Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).
"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.
In this formula :
y tells us how far up the line goes
x tells us how far along
m is the Slope or Gradient i.e. how steep the line is
b is the Y-intercept i.e. where the line crosses the Y axis
The X and Y intercepts and the Slope are called the line properties. We shall now graph the line 3y+7x+18 = 0 and calculate its properties
Graph of a Straight Line :
Calculate the Y-Intercept :
Notice that when x = 0 the value of y is -6/1 so this line "cuts" the y axis at y=-6.00000
y-intercept = -18/3 = -6
Calculate the X-Intercept :
When y = 0 the value of x is -18/7 Our line therefore "cuts" the x axis at x=-2.57143
x-intercept = -18/7 = -2.57143
Calculate the Slope :
Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is -6.000 and for x=2.000, the value of y is -10.667. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of -10.667 - (-6.000) = -4.667 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)
Slope = -4.667/2.000 = -2.333
Geometric figure: Straight Line
Slope = -4.667/2.000 = -2.333
x-intercept = -18/7 = -2.57143
In a group of 90 seventh
graders, 80% like hot chocolate.
How many students do not like
hot chocolate?
Answer: 18
Step-by-step explanation:
90 / 10 = 9 (10%)
9 x 8 = 72 (80%)
90 - 72 = 18 (20%)
Chapter 4, Final Chapter! - What is the Slope?
Answer:
The Slope is -1/3
Step-by-step explanation:
Hope This Helps!
Plz Mark Brainliest
Given h(x) = 5x - 3. Find h(a + 1).
Given h(x}
Answer:
5a + 2
Step-by-step explanation:
To find h(a + 1), substitute x = a + 1 into h(x), that is
h(a + 1) = 5(a + 1) - 3
= 5a + 5 - 3
= 5a + 2
7. Which of the following expressions has a value of 1 ?
1
Choose:
(-1)
o 10
o 1-1
O All choices
O A
ов
Answer:
what is A and B
Step-by-step explanation:
I need more info pls
When y=75,x=1 over 2 what is the value of y when x is 2 and 1/4
Answer:337.5
Step-by-step explanation:
.5/75=2.25/x
X=2.25*75/.5 =337.5
Lydia is having a party on Saturday. She decides to write a riddle on her invitations to describe her house number on Cypress Street. Use the clues below to find Lydia's address. My address is a 5−digit number. The tens digit is 6 less than 7. The thousands digit is twice the digit in the tens place. The hundreds digit is the greatest even number that is less than 10. The ones digit is the product of 5 and 1. The ten thousands digit is the difference between the hundreds digit and the ones digit. Lydia's address is Cypress Street.
Answer:
Lydia's address is Cypress Street is: 51823
Step-by-step explanation:
Represent the digit as ABCDE such that:
A = Ones
B = Tens
C = Hundred
D = Thousand
E = Ten Thousand
Analyzing the statements one after the other:
The tens digit is 6 less than 7.
[tex]B = 7 - 6[/tex]
[tex]B = 1[/tex]
The thousands digit is twice the digit in the tens place.
[tex]D = 2B[/tex]
[tex]D = 2 * 1[/tex]
[tex]D = 2[/tex]
The hundreds digit is the greatest even number that is less than 10.
[tex]C = 8[/tex]
The ones digit is the product of 5 and 1.
[tex]A = 5 * 1[/tex]
[tex]A = 5[/tex]
The ten thousands digit is the difference between the hundreds digit and the ones digit.
[tex]E = C - A[/tex]
[tex]E = 8 - 5[/tex]
[tex]E = 3[/tex]
Lydia's address is Cypress Street is: 51823
simplify by combining like terms. -2y + 14 - 9y + 5
Answer:
-11y+19
Step-by-step explanation:
-2y+(-9y)+14+5=-11y+19
Answer:
-11y+19
Step-by-step explanation:
-2y-9y+14+5
-11y+14+5
-11y+19
Hope this helps!
If f(x) = −3x + 4 and g(x) = 2, solve for the value of x for which f(x) = g(x) is true.Noah started to solve the equation –4.6p – 6.3p + 3.9 = –9.18 below. Combine like terms: –10.9p + 3.9 = –9.18 Apply the next steps to solve the equation. What is the solution? p =
Answer:
p = 1.2
Step-by-step explanation:
The given equation is :
–4.6p – 6.3p + 3.9 = –9.18
Combining the like terms,
–4.6p – 6.3p = -9.18 - 3.9
−10.9p = −13.08
⇒ [tex]p=\dfrac{-13.08}{-10.9}\\\\p=1.2[/tex]
Hence, the value of p is 1.2
74% is equivalent to what fraction in reduced terms?
Answer:
Step-by-step explanation:
74/100 or 37/50
Freezing Pipes
A cold front is moving through Rockshore Hills. The
current temperature is 44°F, but it is dropping 6 degrees
each hour. The temperature must be greater than 20°F
to keep Luz's pipes from freezing. How long does Luz
have to get home and wrap her pipes so they don't
freeze?
Highlight
Clear
Question 1
What is happening to the temperature each hour?
Check Answer
Answer:
3 hours
Step-by-step explanation:
44-6= 38 (1 hour)
38-6= 32 (2 hours)
32-6= 26 (3 hours)
Solve for a in the proportion.
Answer:
4
Step-by-step explanation:
Answer:
a = 4
Step-by-step explanation:
to get from 16 to 2 you have to divide 16 by 8
to get from 32 to a you have to do the same to the numerator
If a chicken has 4kg of corn, how many days will it last it if it eats 1/8 of a kg of corn a day.
I need full working
Answer:
32 days
Step-by-step explanation:
Need help ASAP
Equivalent or Not?
Sarah thinks that the following
expressions are equivalent:
2x + 3 = x/2 + 4
Is she correct? If so, prove that these
two expressions are equivalent. If not,
explain what errors she made.
Answer:
equivalentStep-by-step explanation:
2x + 3 = x/2 + 4
2x - x/2 = 4 - 3
3x/2 = 1
x = 1 (2) / 3
x = 2/3
substitute the value of x=2/3 back into the equation:
2(2/3) + 3 = (2/3)/2 + 4
4/3 + 3 = 1/3 + 4
13/3 = 13/3 both are equal if x=2/3I need help with this ASAP!!!! There is an image that I need help with, it’s really easy I’m just really stupid lol
Answer:
d
Step-by-step explanation:
parallel lines NEVER touch
Please help to solve this!
how much is 10% of 10 leters of milk
Answer:100%
Step-by-step explanation:
Answer: 100%
Step-by-step explanation:
A father receives a postcard from his son who is
away at college. It simply reads
SEND
MORE
MONEY
The father is slightly upset that this is all his son
wrote but noticed something interesting. If each
letter is replaced with a single and unique digit, it
would make a true addition statement. The father
replies that he would send money if his son could
figure out what digit each letter would represent.
Answer:
S = 9, E = 5, N = 6, D = 7, M = 1, O = 0, R = 8, Y = 2
Step-by-step explanation:
The given letters are;
SEND
MORE
MONEY
If we are to add the first two words to get the third word, then we have;
SEND + MORE = MONEY
Where, the letters are unique digits
The maximum value of M = 1, because, the two words are in thousands and their sum is in tens of thousands, they can make up to only a 10
Therefore, S = 9
O = 0
D + E = 10 + Y
1 + N + R = 10 + E
1 + E = N
∴ 1 + N + R = 10 + E gives;
1 + 1 + E + R = 10 + E
R = 10 + E - (1 + 1 + E) = 8
R = 8
We have;
9 XXX + 108X = 10XXX
From 1 + N + R = 10 + E, we have;
1 + N + 8 = 10 + E
END + RE = NEY
E(1 + E)D + 8E = (1 + E)EY
(1 + E)EY - E(1 + E)D = 8E
10 + Y - D = E
By trial and error, we have;
If Y = 2 and D = 3, we have E = 9 which is not unique
Y = 4 and D = 3, we have E = 11 which is a double digit
Y = 2 and D = 7, we have E = 5
∴ N = 6 which is unique
Trying the combination gives;
S = 9, E = 5, N = 6, D = 7, M = 1, O = 0, R = 8, Y = 2
SEND + MORE = MONEY → 9567 + 1085 = 10652 which is correct.
Find (x - 3)(2x - 1) using the table of products. Write your answer in standard form.
Answer:
top left is 2x²
top right -6x
bottom left -1
bottom right 3
Simplify:
2(-3x – 6)
-6x + 12
A
B
-62 – 12
-6.3 4
sh
D-60 - 8
Answer:
-12x
Step-by-step explanation:
2(-3x - 6) -6x +12
-6x - 12 -6x +12
-12x
your welcome
Find the area of the figure
Answer:
12 [tex]cm^2[/tex]
Step-by-step explanation:
The area of a triangle is [tex]\frac{bh}{2}[/tex]. Here, b = 8, h = 3. So 8*3/2 = 12. The units is [tex]cm^2[/tex].
So the answer is 12 [tex]cm^2[/tex].
Answer:
12 cm
Step-by-step explanation:
[tex] \frac{1}{2} \times 3 \times 8 = 12[/tex]
area = 1/2 base height
Please help me with this.
Answer:
y = (-1/2)x + 4
Step-by-step explanation:
Slope (m): (-1/2)
down one, right two
y-intercept (b): 4
y = mx + b
The slope-intercept equation if the line is [tex]y=-\frac{1}{2}x+4[/tex]
To find the slope, you must put the 2 points into the slope equation.
[tex]\frac{3-4}{2-0}=\frac{-1}{2}[/tex]
And to find the y-intercept, you must find where the line crosses the y-axis.
(0,4)
At the carnival the ratio of rides to games was 9:8. For every ___games there are ___rides.
A.8 games, 17 rides
B.8 games, 9 rides
C.9 games, 17 rides
D.9 games, 8 rides
Answer:
The answer is B.8 games,9 rides
What is the value of x?
O12 units
O15 units
O20 units
O 24 units
Answer:
15 units
Step-by-step explanation:
We can calculate the value of x using Euclidean theorem
x^2 = 9 × 25 ➡ x^2 = 225
x = 15
1. What is the surface area of this rectangular prism?
A. 16 square units
B. 32 square units
C. 48 square units
D. 64 square units
Answer:
I believe it is 64 ( I might be wrong)
Step-by-step explanation:
ok so in the picture, the top of the rectangle has 8 square units so that means that the base also has 8 square units and if you look at the sides they also have 8 square unit so:
8 x 4 = 32
and then in the picture, the face of the rectangle has 16 square units so the other face also has 16 square units so:
16 x 2 = 32 plus the 32 from the sides in 64
hope that helps : )
Y=8 when x=20 find y when x= 30
Answer:
y=13
Step-by-step explanation:
if x=20 when y=8 (we can creat equation )
x=2y+4 (you can prove that the equation is correct by substitute )
so the question is if x=30 find the value of y
30=2y+4
30‒4=2y
26=2y
26/2=2y/2
13=y
i hope this helps you
a- b for
for a= (-7) and b = 30
Answer:
-37
Step-by-step explanation:
-7-30
=-37
You are adding the negatives therefore, you will get a larger number of negatives.
g(x) = 182 What is the domain of g?
Answer:
i tryed ;-;..
Step-by-step explanation:
Two owners of a cattle ranch, Jo and Val, want to find the average weight for the ranch's 200 cows. Instead of weighing all of the cows: Jo weighs 25 cows and gets an average weight of 1,350 pounds (stdev 50) Val weighs 100 cows and gets an average weight of 1,420 pounds (stdev 50) What is Jo's margin of error, rounded to the nearest whole number? (The formula is 1.96 straight x left parenthesis StdDev right parenthesis divided by square root of straight N)
Answer:
The value is [tex]E =19.6 [/tex]
Step-by-step explanation:
From the question we are told that
The mean of Jo cows is [tex]\= x_1 = 1350[/tex]
The standard deviation of Jo cow is [tex]s_1 = 50[/tex]
The mean of Val cows is [tex]\= x_2 = 1420 [/tex]
The standard deviation of Val cows is [tex]s_2 = 50[/tex]
The sample size for both Val and Jo is n = 25
Let assume that the level of significance is [tex]\alpha = 0.05[/tex]
Generally from the normal distribution table the critical value of [tex]\frac{\alpha }{2}[/tex] is
[tex]Z_{\frac{\alpha }{2} } = 1.96[/tex]
Generally the margin of error is mathematically represented as
[tex]E = Z_{\frac{\alpha }{2} } * \frac{\sigma }{\sqrt{n} }[/tex]
Hence margin of error for Jo is
=> [tex]E = 1.96 * \frac{50}{\sqrt{25} }[/tex]
=> [tex]E =19.6 [/tex]
Round 685,135 to the nearest ten thousand.
Answer:
690,000
Step-by-step explanation:
The 8 is the ten thousands place- 685,135
If the number after the 8, (in this case 5) is 0-4, round to 8. If the number after the 8 is 5-9, round up to 9.
What is the equation of the line through the origin and (2,5)?
A. y = 5/2x
B. y = 2/5x
C. y= 2x
D. y = 5x
Answer:A
Step-by-step explanation:
Rise over run is whats needed in the answer. Since you have a point running through the origin, the slope (5/2) is provided