Answer:
y = 1 [ y intercept (0,1) ]
x = -5/11 [ x intercept : (-5/11,0) ]
Explanation:
First split this compound equation into two seperate ones:
y = 11x + 6y = 11x + 6 →
{ y = 11x + 6y → -5y = 11x → [ y = -11/5x ]
[ y = 11x + 6 ] }
________
Then find the x point of intersection by substitution.
y = -11/5x → y = 11x + 6
-11/5x = 11x + 6
-11/5x - 11x = 6
-66x/5 = 6
-66x = 30
-11x = 5
x = 5/-11
x = -5/11
_______
Then find the y point of interesection by substituting the x solution in one of the equations.
x = -5/11 → y = -11/5x
y = -11/5(-5/11)
y = 55/55
y = 1
The x-intercept is x = - 6/11.
The y-intercept is y = 6.
What is an equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
Example:
2x + 3 = 9 is an equation.
We have,
y = 11x + 6
Now,
The x-intercept means y = 0.
So,
y = 11x + 6
0 = 11x + 6
11x = -6
x = - 6/11
The y-intercept means x = 0.
y = 11x + 6
y = 0 + 6
y = 6
Thus,
The x-intercept is x = - 6/11.
The y-intercept is y = 6.
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sporting goods store is offering a 20% discount on shoes. Mariana also has a $5 off coupon that can be applied to her
purchase. She is planning to buy a pair of shoes that originally costs $89. Will the final price be lower if the discount is applied before the
coupon or if the coupon is applied before the discount? Justify your response
The final price be lower if the discount is applied before the coupon.
What is the fundamental principle of multiplication?Multiplication is the mathematical operation that is used to determine the product of two or more numbers. If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways.
Given that sporting goods store is offering a 20% discount on shoes. Mariana also has a $5 off coupon that can be applied to her
purchase.
She is planning to buy a pair of shoes that originally costs = $89.
The discount price is the same either way.
Thus 20 percent of $89.00= 17.80$
Therefore, we have;
$89.00 - ($5.00 x $17.80) = $66.20
$89.00 - ($17.80 x $5.00) = $66.20
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What is equivalent to 6/9
Answer:
Answer: 2/3
Step-by-step explanation:
6 and 9 are divisible by 3 so if you divide the numerator and denominator by 3 you obtain the equivalent fraction 2/3.
You can also multiply the numerator and denominator by the same amount to obtain an equivalent fraction.
Solve the equation for b. Use lowercase letters and no spaces when typing in the equation. a+b/3= C type your answer...
What is the decimal 3.4 written in word form
Answer:
three and four tenths
Step-by-step explanation:
NEED HELP ASAP
SOLVE FOR H
Answer: h = 3V/(pi*r^2)
Step-by-step explanation:
V = (1/3)pi*(r^2)*h
h = 3V/(pi*r^2)
passes through (-6,-1) and is parallel to y=-2/3x+1
convert the given fractional number to percents 2/7
Answer: 28.571429%
Step-by-step explanation:
2 divided by 7 is 0.2857142...
In order to make this a percentage you'll need to move the decimal two places to the right.
Find the slope of a line through the given points.
(3-7), (5,5)
Answer:
11/2
Step-by-step explanation:
Answer: m = 6
Step-by-step explanation: Start by writing down the slope formula.
m = y₂ - y₁ / x₂ - x₁
We take the second y minus the first y over the second x minus the first x.
m = 5 - (-7) / 5 - 3
m = 12 / 2
m = 6
So the slope of our line is 6.
Help 8th grade please
Answer:
B.
Step-by-step explanation:
Supplementary angles have a sum of 180 degrees, and those two angles added to angle 1 would be equal to 180 degrees since they are straight lines.
Answer:
C
Step-by-step explanation:
Supplementary - adds up to 180
Help! how does the y- value change?
2. One action figure sells for $3.50 How many action figures can Sergio buy for $20.00?
Answer:
5
Step-by-step explanation:
20 divided by 3.50 = 5.71428571429
Solve the inequality.
5 (4 + x) < 3 (2 + x)
help please!
Need help with w(x+1)
Answer:
Sure thing w(x+1)= wx+2
Step-by-step explanation: You use distributive property. Hope this Helps!
why are 1/4 and 3/8 represented with negative numbers on the number line in the example
Answer: There's no image there, but I assume it's because they are behind the 0.
Step-by-step explanation: The range of real numbers goes from - infinity to positive infinity. The 1/4 and 3/8 that are on the number line are probably behind the 0, indicating that they are negative numbers. I don't know if what I'm saying makes sense in the context of the problem (since you didn't provide a picture).
You have $300 to spend on school clothes shirts cost $15 and pants $20
Answer
19 pants and 6 shirts
Maddie spent about $12 on 3.8 pounds of one type of fruit. Which types of fruit could Maddie have bought? Check all that apply.
apples- 1.89
cherries- 5.28
grapes- 2.78
pears- 1.41
strawberries- 3.12
Answer: strawberries, grapes, apples, and pears
Step-by-step explanation:
Strawberries:
3.12*3.8≈11.86 which is less than 12.
Grapes, pears, and apples are less than strawberries, so those are also possibilities.
Answer:
Step-by-step explanation:
strawberries and grape
If a varies jointly with b and c and a = 2.53 when b=5.5 and c = 0.92. Find the constant of variation.
Answer:
0.9
Step-by-step explanation:
0.9
Shelly and Terrence completed a different number of tasks in a game. Shelly earned 90 points on each task. Terrence's total points were 20 less than Shelly's total. The expression below shows Terrence's total points in the game:
90x − 20
What does the factor x of the first term of the expression represent?
Answer: Its B i think
Step-by-step explanation:
Find the answer to the question below
Ben deposited $6,500 in a simple interest account that pays 2.8% interest annually. If Ben leaves the money in the account for 12 years, how much interest will he earn?
Answer:
0.336?
Step-by-step explanation:
0,4 Find the roots of the following quadratic equations
using the quadratic formula
1) 6a²x² - 7abx - 3b²=0, a is not equal to zero
pls answer
Answer:
b = b2-4ac
= (-7ab)^2 -4 (6a^2)(-3b^2)
= 49a^2b^2 + 72a^2b^2
= 121a^2b^2
Now, x = (7ab +- root 121a^2b^2)÷2(6a²)
= (7ab +- 11ab ) ÷ 12a²
= ( 20ab)/12a² or 4ab/12a²
= 5/3ab or - 1/3ab .
So, these are its roots .
Step-by-step explanation:
solve for x geometry
Answer:
Step-by-step explanation:
Take the natural logarithm of both sides of the equation to remove the variable from the exponent.
ln
(
6
x
)
=
ln
(
66
)
Expand
ln
(
6
x
)
by moving
x
outside the logarithm.
x
ln
(
6
)
=
ln
(
66
)
Divide each term by
ln
(
6
)
and simplify.
Tap for more steps...
x
=
ln
(
66
)
ln
(
6
)
The result can be shown in multiple forms.
Exact Form:
x
=
ln
(
66
)
ln
(
6
)
Decimal Form:
x
=
2.33829083
…
Answer:
X=19
Step-by-step explanation:
A full line must be 180 degrees and you already know that part of the line is 66 degrees. You do 180 minus 66 which gives you 114. That is the other unknown angle but it is asking for x, not the angle. You do 114 divided by 6 to get 19. Therefore, x=19.
Is -20 solution x/-10=2?
Answer:
Yes
Step-by-step explanation:
Multiply -10 on both sides so x=-20
EMERGENCY! Please give me the correct answer!
Answer:
6^10
Step-by-step explanation:
6^0 is 1 so 6^10 x 1 is just 6^10
Match each equation to its solution.
Answer:
i)x=6
ii) x=-7
iii) x=-5
Step-by-step explanation:
First take the no. to the other sides. Then divide, then u will get x
Over the course of 4 months, Spiffy the dog lost 36 pounds. What integer represents his loss per month?
Answer:
-9 pounds / month
Step-by-step explanation:
A loss of 36 pounds is a negative number
-36
Divide by the number of months
-36 pounds / 4 months
-9 pounds / month
Divide total loss by number of months:
36 pounds / 4 months = 9 pounds per month.
Because it lost weight the integer would be negative 9 (-9)
The Massachusetts Body of Liberties __________.Which shows two expressions that are equivalent to (Negative 7) (Negative 15) (Negative 5)?
Answer:
Step-by-step explanation:
The Massachusetts Body of Liberties were technically the first ever legal code system established by the colonists, and established a central court that had full rights and jurisdictions over the citizens.
3х2 x 2х3
Please HELP!!!!
Answer: 36
Step-by-step explanation: to make it easier, it is 6x6.
Answer:
36
Step-by-step explanation:
3х2 x 2х3
6 x 6
36
Which expression is equivalent to |8| + |-7|?
O -15
O -1
O 1
O 15
Please someone do I need the answer thx :)
Answer:
15
Step-by-step explanation:
Answer:
15
Step-by-step explanation:
When you are adding the absolute values of numbers the sign doesn't matter. So in this case the absolute value of 8 is 8. It is 8 units away from 0. The absolute value of -7 is 7, meaning it is 7 units away from 0. With this in mind you can add both of these numbers together as if they were positive. So 7+8
I don't understand this, please help
Answer:
y=2x+1
Step-by-step explanation:
Write the function f (x) = 22 - 4x - 7 in vertex form.
Show your work.
Answer:
[tex]\boxed{\bold{\,f(x)=2(x-1)^2-9\,}}[/tex]
Step-by-step explanation:
[tex]f(x)=2x^2-4x-7\\\\f(x)=2(x^2-2x-3.5)\\\\f(x)=2(\underline{x^2-2x+1^2}-1^2-3.5)\\\\f(x)=2\big((x-1)^2-4.5\big)\\\\f(x)=2(x-1)^2-9[/tex]
Vertex: (1, -9)