The slope of the graph for the equation y + 9x = -6 is -9, and the y-intercept is -6, which corresponds to the point (0, -6) on the y-axis.
The equation y + 9x = -6 can be re-written in slope-intercept form, which is y = mx + b, where m is the slope and b is the y-intercept. To find the slope and y-intercept from the given equation, we need to isolate y on one side. Here's how we do it step-by-step:
Start with the given equation: y + 9x = -6.Subtract 9x from both sides to isolate y: y = -9x - 6.The slope (m) is the coefficient of x, which is -9, and the y-intercept (b) is the constant term, which is -6. Thus, the slope is -9, and the y-intercept is the point (0, -6) on the y-axis.
What's the largest 3-digit base 14 integer?
What is the part of a line with two endpoints?
Neptunes average distance from the sun is 4.503x10^9 km. Mercurys average distance from the sun is 5.791x10^7 km. About how many times farther from the sun is Neptune than mercury? Write your answer in scientific notation
what is 7 x 1,829 in expanded form
4(5n+7)-3n=3(4n-9) Solve. Its supposed to equal -11
I have no idea how it got to -11 mine is always -6.5...
HELP??
Since 43 is a 2 digit odd number is it a composite and why
PLEASE HELP ME you measured 6 cups of water and 5 cups of lemon juice to make how many in total quarts of lemonade
Total cups of lemonade:
6 cups + 5 cups = 11 cups
Total quarts and cups of lemonade:
11 cups ÷ 4 cups = 2 quarts 3 cups
Use compatible numbers to find two estimates
for f(x) =24-2x, find f(2) and find x such that f(x) =10
The value of the function for x = 2 is 20 and the value of x for which function equal to 10 is 7
What is function?A function is defined as a relation between a set of inputs having one output each, a function is a relationship between inputs where each input is related to exactly one output.
Given is a function, f(x) =24-2x, we need to find f(2) and value of x for which function's value is 10,
For f(2), put x = 2
f(2) = 24-2(2)
= 24-4
= 20
Therefore,
f(2) = 20
For f(x) =10
Set the function equal to 10,
24-2x = 10
-2x = -14
2x = 14
x = 7
Hence, the value of the function for x = 2 is 20 and the value of x for which function equal to 10 is 7
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The vet says that we nice puppy will grow to be at least 27 inches tall. Lena’s puppy is currently 1 foot tall. How many more inches will the puppy grow? The puppy will grow a.) at least 2.) at most ? Inches
The rectangular backboard of a basketball court needs to be assembled. Its area is given as 18,900 cm2 and the width as 1.8 m.
What is the backboard’s length in metres?
Answer:
1.05 m
Step-by-step explanation:
The area of the rectangular backboard is A = 18900 cm²
And the width is w = 1.8 m = 1.8 ×100 = 180 cm
The area of the rectangle is given by
[tex]A=l\cdot w[/tex]
Substituting the known values
[tex]18900=l\cdot 180\\\\l=\frac{18900}{180}\\\\l=105\text{ cm}[/tex]
Thus, the length of the backboard's is 105 cm = 1.05 m
It took John 3 minutes to drive 18 laps. How many laps per minute did he run?
If you estimate 342÷7 by using 350÷7 = 50 is 50 greater than or less than the exact answer? How did you decide? It’s 50 and overestimate or an under estimate
In Louisiana, the highest point of elevation is Driskill Mountain at 535 feet above sea level and the lowest point of elevation in New Orleans at 8 feet below sea level write an expression that represents the difference between these two measures that determine the interpret the difference
The expression that represents the difference between these two measures will be 535 - (-8) and the result is 543 feet.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
In Louisiana, the highest point of elevation is Driskill Mountain at 535 feet above sea level, and the lowest point of elevation in New Orleans at 8 feet below sea level.
The expression that represents the difference between these two measures will be given as,
⇒ 535 - (-8)
⇒ 535 + 8
⇒ 543 feet
The expression that represents the difference between these two measures will be 535 - (-8) and the result is 543 feet.
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Convert 232°F to Celsius.
55°C
95°C
100°C
110°C
Answer:
the answer is 100"C
Step-by-step explanation:
Compute the requested average. Tim Worker receives the following income monthly from a second job. Jan. Feb. Mar. Apr. May June $200 $150 $250 $260 $285 $380 What is his average pay? (To the nearest hundredth.)
254.17255.37257.83259.85
If you add up all the monthly incomes, you get 1590. If you divide 1590 by 6 (the number of the months), then you get the answer: $265.
Edit: my bad, I read the question wrong, the answer is $254.17
Factor each of the following. Remember: It is the reverse of the distributive property and your first step is to find the greatest common factor of all terms.
which of the following will solve Ohm's law, V=IR for R
V=IR
to solve for R divide both sides by I
so you get R=V/I
Help:42÷7+1/5 order of operations:basic
If it is 4:40 now, what time was it 5 hours and 15 minutes ago?
3Q + 11 + 8q less than 99
The solution of the inequality 3q + 11 + 8q < 99 is q < 8.
How to solve inequalities?Inequalities are mathematical expressions involving the symbols >, <, ≥ and ≤. Therefore, the inequalities can be solved as follows:
3q + 11 + 8q < 99
combine like terms
3q + 11 + 8q < 99
3q + 8q + 11 < 99
11q + 11 < 99
subtract 11 from both sides of the inequalities
11q + 11 < 99
11q + 11 - 11 < 99 - 11
11q < 88
divide both sides of the inequalities by 11
11q / 11 < 88 / 11
q < 8
Therefore,
q < 88
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-10-5x in standard form
Veronica is shopping for school clothes. She wants to buy pants and shirts. The cost of her clothes can be found using the expression 30x + 25y where x is the number of pants and y is the number of shirts. She will also have to pay 8% tax. If Veronica buys two pants and eight shirts, what expression could be used to determine the total cost of the bill including 8% tax?
Final answer:
To find the total cost of Veronica's school clothes including 8% tax, first calculate the cost before tax with her specific quantities of pants and shirts, and then add the tax. The final expression shows a total cost of $280.8.
Explanation:
Veronica is shopping for school clothes, and the cost of her clothes can be found using the expression 30x + 25y, where x is the number of pants and y is the number of shirts. She will also have to pay 8% tax. If Veronica buys two pants and eight shirts, the expression to determine the total cost of the bill including 8% tax would be:
First, substitute x = 2 (pants) and y = 8 (shirts) into the expression to find the total before tax: 30(2) + 25(8).Calculate the cost before tax: 60 + 200 = 260.Calculate the total with 8% tax: 260 + (0.08 × 260).The final expression to determine the total bill is: 260 + 20.8 = 280.8.30% of what number is 21
A store sells grapes for $1.99 per pound. You buy 2.34 lbs. of grapes. How much do you pay? Please help!
A ski lift begins at ground level 0.75 miles from the base of a mountain whose face a 50° angle of elevation. The ski lift ascends in a straight line at an angle of 20°. Draw a diagram to illustrate this situation and find the length of the ski lift from the beginning of the ski lift to the top of the mountain, to the nearest hundreth
The length of the ski lift is approximately 1.15 miles.
We can use the formula of sum of all angle of triangles which is equal to 180°.
∠C = 180 - 50
= 130
By using law of sines
[tex]\frac{a}{sin A} = \frac{c}{sin C} \\\frac{0.75}{sin 30} = \frac{c}{sin 130} \\\\\\\frac{0.75 \times 0.766}{0.5}[/tex]
c= 1.149 mile
c = 1.15 mile (nearest hundred)
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What is 12x3 – 9x2 – 4x + 3 in factored form?
The factors of the given polynomial 12x^3-9x^2-4x+3 are
(4x-3) (3x^2-1).
Given: Polynomial 12x^3-9x^2-4x+3
We have factorized the given polynomial.
What is the meaning of factors?The factor means a number that can be multiplied or divided to produce a given number.
Consider the given polynomial 12x^3-9x^2-4x+3.
We will factorize using a grouping of terms,
Taking 3x^2 common from the first two terms and -1 common from the last two terms, we have,
3x^2(4x-3)-1(4x-3)
Now, again taking (4x-3) common, we have,
(4x-3)(3x^2-1)
Thus, The factors of the given polynomial are (4x-3)(3x^2-1).
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The factored form of 12x3 - 9x2 - 4x + 3 is (3x2 - 1)(4x - 3).
Explanation:The expression 12x3 - 9x2 - 4x + 3 can be factored as follows:
First, identify any common factors among the terms. In this case, the greatest common factor (GCF) is 1.
Next, group the terms:
12x3 - 9x2 - 4x + 3 = (12x3 - 9x2) + (-4x + 3)
Factor out the GCF from each group:
12x3 - 9x2 = 3x2(4x - 3)
-4x + 3 = -1(4x - 3)
Combine the factored terms:
(3x2 - 1)(4x - 3)
Therefore, the factored form of 12x3 - 9x2 - 4x + 3 is (3x2 - 1)(4x - 3).
What does the A stand for in the R.A.C.E. Strategy
Determine if (-2, 10) is a solution of 5x+3y=20
Determine if the side lengths 6, 11, and 19 form a triangle. If it is a triangle, classify it by its sides.