Please help me with this one please, I've been having trouble figuring this one out.
Answers
Answer:
y = - 2x - 1
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 2, 5) and (x₂, y₂ ) = (2, - 3)
m = [tex]\frac{-3-5}{2+2}[/tex] = [tex]\frac{-8}{4}[/tex] = - 2
The line crosses the y- axis at (0, - 1) ⇒ c = - 1
y = - 2x - 1 ← equation of line
I hope this helps
Related Questions
Human cells come in a wide variety of shapes and sizes. The
mass of an average human cell is 2 x 10-11. Write this number in
standard form.
Answers
Answer:
2
Step-by-step explanation:
solve each proportion .
120/160=15/y
(fractions)
please help me :(
Answers
Answer:
Y = 20
Step-by-step explanation:
120/ 160 = 15 / y
120/15=8
that means there is a 8 to 1 ratio between them. So now do 160/8 = y
y = 20.
prove it by dividing both fractions to create decimal form. They match, so y = 20.
f(x+h) = (x+h)² + 3(x+h)^3
How would I distribute this?
Answers
Answer:
f(x + h) = 3x³ + x² + 9h²x + 3h³ + h² + 9hx² + 2hx
General Formulas and Concepts:
Order of Operations: BPEMDASDistributive PropertyExpand by FOIL (First Outside Inside Last)Combining like termsStep-by-step explanation:
Step 1: Define function
f(x) = x² + 3x³
f(x + h) is x = x + h
Step 2: Simplify
Substitute: f(x + h) = (x + h)² + 3(x + h)³Expand by FOILing: f(x + h) = (x² + 2hx + h²) + 3(x + h)³Rewrite: f(x + h) = (x² + 2hx + h²) + 3(x + h)²(x + h)Expand by FOILing: f(x + h) = (x²+2hx+h²) + 3(x² + 2hx + h²)(x+h)Distribute/Expand: f(x + h) = (x²+2hx+h²) + 3(x³+3hx²+3h²x+h³)Distribute 3: f(x + h) = (x²+2hx+h²)+(3x³+9hx²+9h²x+3h³)Combine like terms: f(x + h) = 3x³+x²+9h²x+3h³+h²+9hx²+2hxWhat is the answer to this pre-algebra equation 7x+10=3x+120
Answers
Answer:
=[tex]\frac{55}{2}[/tex]
The populations of Cities A and B are 1.6 x 10^5 and 1,070,000, respectively. The population of City C is twice the population of City B. The population of City C is how many times the population of City A?
Answers
Answer:
13
Step-by-step explanation:
First find the population of city c 1,070,000 times 2 = 2140000
Round 2140000 to the nearest hundred thousands = 2,100,000
Third find how many places the decimal moves which is 6 places
Fourth scientific notation of 2,100,00 is 2.1 times 10^6
Fifth divided city c by the population of city a
2.1x 10^6 divided by 1.6 x 10^5
2.1 / 1.6 rounded is 1.3
10^6 divided by 10 ^ 5 is 10
Therefore 2.1 x 10^6 divided by 1.6 divided by 10^5 equals 1.3 times 10 = 13
The population of city c is about 13 times the population of city a
so 900x900= answer: 810000
Answers
Answer:
That is correct
Answer:
yes its correct
Step-by-step explanation:
Given f(x) = 2x^3 + ax^2 - 7a^2x - 6a^3, determine whether or not x-a and x+a are factors of f(x). Hence, find, in terms of a, the roots of f(x) = 0.
thankyou so much
Answers
Answer:
Step-by-step explanation:
f(x) = 2x³ + ax² - 7a²x - 6a³
= 2x³ - 2a²x + ax² - a³ - 5a²x - 5a³
= 2x(x² - a²) + a(x² - a²) - 5a²(x+a)
= (2x+a)(x - a)(x + a) - 5a²(x + a)
= (x + a)[(2x + a)(x - a) - 5a²]
= (x + a)(2x² - ax - 6a²)
= (x + a)(2x + 3a)(x - 2a)
x-a is the factor of the equation and x + a is not a factor of the equation,
All the roots of the equation are x + a, 2x+3a, x-2a.
What is a cubic equation ?"In algebra, a cubic equation in one variable is an equation of the form
ax^3+bx^2+cx+d=0
in which a is nonzero.
The solutions of this equation are called roots of the cubic function defined by the left-hand side of the equation. If all of the coefficients a, b, c, and d of the cubic equation are real numbers, then it has at least one real root (this is true for all odd-degree polynomial functions). "
Given equation is [tex]f(x) = 2x^3 + ax^2 - 7a^2x - 6a^3[/tex]
Now,
[tex]f(x) = 2x^3 + ax^2 - 7a^2x - 6a^3\\\\= 2x^3 - 2a^2x + ax^2 - a^3 - 5a^2x - 5a^3\\\\= 2x(x^2 - a^2) + a(x^2 - a^2) - 5a^2(x+a)\\\\= (2x+a)(x - a)(x + a) - 5a^2(x + a)\\\\= (x + a)[(2x + a)(x - a) - 5a^2]\\\\= (x + a)(2x^2 - ax - 6a^2)\\\\= (x + a)(2x + 3a)(x - 2a)[/tex]
Hence, the roots of the equation are x + a, 2x +3a, x - 2a.
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(9+7i)+(-5-31) =
add complex numbers
Answers
Answer:
4 + 4i
Step-by-step explanation:
Add the real part and add the imaginary part.
9 + 7i + (-5 - 3i) = 9 + 7i - 5 - 3i
= 9 - 5 + 7i - 3i
= 4 + 4i
Answer:
44
Step-by-step explanation:
Okay so we are given (9 + 71) + (-5 - 31).
We need to figure out the value of this expression.
First, let's solve the expression (9 + 71).
1. (9 + 71) = 80.
Now we have 80 + (-5 - 31).
Next, let's solve the expression (-5 - 31).
2. (-5 - 31) = -36.
We're left with 80 + (-36).
Finally, let's add the two numbers together.
80 + (-36) = 44
So (9 + 71) + (-5 - 31) = 44
Feel free to give brainliest.
Have an excellent day!
what is f(x)=5x-12 what is f(2)?
Answers
Answer:
f(2) = -2
General Formulas and Concepts:
Order of Operations: BPEMDASStep-by-step explanation:
Step 1: Define
f(x) = 5x - 12
f(2) is x = 2
Step 2: Solve
Substitute: f(2) = 5(2) - 12Multiply: f(2) = 10 - 12Subtract: f(2) = -2Answer:
f ( 2 ) = - 2
Step-by-step explanation:
Step 1:
f ( x ) = 5x - 12 Function
Step 2:
f ( 2 ) = 5 ( 2 ) - 12 Input x
Step 3:
f ( 2 ) = 10 - 12 Multiply
Answer:
f ( 2 ) = - 2
Hope This Helps :)
is 1/5 a integer rational irrational or real. (there can be more than one answer)
Answers
Answer:
rational
Step-by-step explanation:
A rational number is a number that can be expressed (for example, 1/3 is irrational) Hope I helped! Please mark Brainliest!!!
what is the avrage of 4.1 ,6 ,1.3 6.5 ,1.6
Answers
Answer:
3.36
Step-by-step explanation:
4.1 +6 +1.3+6.5 +1.6=16.8
16.8/5=3.36
In order to get the answer you add everything up and then divide from the amount of numbers there are.
Find the value for x
Can somebody help me?
Please
Answers
Answer:
1-7 2-6 3-6 4-4
Step-by-step explanation:
To do this, you must notice that all of these are isosceles triangles (2 of the sides are the same.) You already have 1 value on each triangle, and the length of that side is the same length as the side with the unknown value, so those are the correct answers. If I made a mistake, please correct me. Everybody makes mistakes.
In your own words, describe the steps you take to round a decimal.
Answers
Answer:
if its .5 round up if its .4 or lower round down
Step-by-step explanation:
Answer:
Step-by-step explanation:
i look at the number to the very decimal and then if it is 5 or higher i round up if it is 4 or lower i round down then leave out the rest of the numbers unless it tells you to round to the tenths, hundreds, or thousands place and so on.
A squirrel runs across a road in 3 seconds. The road was more than 34 feet wide.
_______________________________________________________
Which inequality can be used to determine the squirrel’s speed?
_____
What is the solution to the inequality? Round to the nearest tenth, if necessary.
_____
How can you interpret the solution?
_____
_______________________________________________________
A) 3r > 34,
3r 34
r/3 11.3
r 10.2
C) the squirrel ran at least 11.3 feet per second
the squirrel ran faster than 11.3 feet per second
the squirrel ran no faster than 102 feet per second
the squirrel ran slower than 102 feet per second
_______________________________________________________
Answers
Answer:
✔ 3r > 34
✔ r > 11.3
✔ The squirrel ran faster than 11.3 feet per second.
Step-by-step explanation:
1. The Squirrel's speed is 3r > 34
2. The solution of the inequality is r > 11.3
3. The interpretation is: The squirrel ran faster than 11.3 feet per second.
What is Inequality?Mathematical expressions with inequalities are those in which the two sides are not equal. Unlike to equations, we compare two values in inequality. Less than (or less than or equal to), greater than (or greater than or equal to), or not equal to signs are used in place of the equal sign.
A squirrel runs across a road in 3 seconds.
The road was more than 34 feet wide.
1. The Squirrel's speed is
3r > 34
2. The solution of the inequality is
r > 34/3
r > 11.3
3. The interpretation is: The squirrel ran faster than 11.3 feet per second.
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Andrew and Kate have $30 to spend on dinner, tax, and gratuity at Mo’s Restaurant. Tax is 6%, and they will give a 15% tip on the total bill after taxes. Their dinner costs $21.00. Which statement correctly explains whether Andrew and Kate have enough money to pay their bill?
Yes. They have enough to pay their bill: 30 dollars times 1.06 = 31 dollars and 80 cents and 31 dollars and 80 cents times 1.15 = 36 dollars and 57 cents.
Yes. They have enough to pay their bill: 21 dollars times 1.06 = 22 dollars and 26 cents and 22 dollars and 26 cents times 1.15 = 25 dollars and 60 cents.
No. They do not have enough to pay their bill: 30 dollars times 1.06 = 31 dollars and 80 cents and 31 dollars and 80 cents times 1.15 = 36 dollars and 57 cents.
No. They do not have enough to pay their bill: 21 dollars times 1.06 = 22 dollars and 26 cents and 22 dollars and 26 cents times 1.15 = 25 dollars and 60 cents
Answers
Answer:
Yes. They have enough to pay their bill: 21 dollars times 1.06 = 22 dollars and 26 cents and 22 dollars and 26 cents times 1.15 = 25 dollars and 60 cents.
Answer:
A
Step-by-step explanation:
Please answer correctly !!!!!!!!!!!!!!!!! Will mark brainliest !!!!!!!!!!!!!!!!!!!!!
Answers
Answer:
79°
Step-by-step explanation:
A straight line is 180°.
180°-101°=79°
2 (x - 2/3) = 0
solve for x
Answers
Answer:
x = 2/3
Step-by-step explanation:
2(x-2/3)=0
2x-1 1/3=0
2x=1 1/3
Devide both sides by 2
x=2/3
help a girl out due at 11:59 ♀️
Answers
Answer:
your answer woulsd be 4/15 or how many times does 4 gois in ta 15
Step-by-step explanation:
PLEASE ANSWER ILL GIVE BRANLIEST
Answers
Answer:
angle A is congruent to angle R
Step-by-step explanation:
when it gets rotated counterclockwise around point X that is how the triangles end up matching up
Answer:
The answer is 1. ∠A ≅ ∠R
Step-by-step explaation:
Looking at the triangles when they're in their alphabetical order, ΔABC and ΔRST, since they are congruent, that means that if you were to pick an angle in one triangle, it would be equal to the angle in the same place of the other triangle. So if we were to take the first letter from ΔABC it'd be A, and the first letter in ΔRST is R, so that means angles ∠A and ∠R should be congruent.
Find the value of x.
(5x + 5)
Answers
5( x + 1)
I hope this helps:)
51:03
Review the four points shown on the polar coordinate
system.
Which point represents (3, - )?
2/2
2003
03
O point A
O point B
O point
O point D
56
B
2/6
A
0
2 4 6
co
D
THB
11:06
413
5/3
302
Mark this and return
Save and Exit
Next
Submit
Answers
Answer:
Point A
Step-by-step explanation
Got it correct on edge test
Point A represents (3, - ). Therefore, the correct option is option A among all the given options.
What is coordinate?A coordinate system in geometry is a method for determining the precise location of points or other geometrical objects on a manifold, such as Euclidean space, using one or more integers, or coordinates. It matters how the coordinates are arranged.
Sometimes they are recognised by their place in an ordered tuple, and other times they are recognised by a letter, such as "the x-coordinate." In elementary mathematics, the coordinates are assumed to be real numbers. Point A t represents (3, - ).
Therefore, the correct option is option A.
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Solve the following equation by the quadratic formula. x 2 + x - 1 = 0
Answers
Answer
x is 1.62 or -0.62
Step-by-step explanation:
Quadratic Formula:
[tex] \boxed{ \bf{x = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a}}}[/tex]
Given Quadratic Equation:
x² + x - 1 = 0
a = 1 (Quadratic coefficient)
b = 1 (Linear coefficient)
c = -1 (Constant coefficient)
By substituting values in the formula, we get:
[tex] \rm \longrightarrow x = \dfrac{-1 \pm \sqrt{1^2 - 4(1)( - 1)}}{2 \times 1} \\ \\ \rm \longrightarrow x = \dfrac{ - 1 \pm \sqrt{1 + 4} }{2} \\ \\ \rm \longrightarrow x = \dfrac{ - 1 \pm \sqrt{5} }{2} [/tex]
68/125 Write a fraction as an equivalent fraction with a power of 10 in the denominator.Then write the fraction as a decimal
Answers
Answer:
[tex]\huge\boxed{\dfrac{68}{125}=0.544}[/tex]
Step-by-step explanation:
[tex]\dfrac{68}{125}=\dfrac{68\cdot8}{125\cdot8}=\dfrac{544}{1,000}=0.544[/tex]
Tell whether the lines through the given points are parallel, perpendicular, or neither.
Line 1: (5, - 2), (-1,5)
Line 2: (-12, 2), (2,14)
Answers
X1 y1 x2 y2
5-(-2)/-1-5 = 7/-6
(-12,2), (2,14)
X1 y1 X2 y2
14-2/2-(-12)= 12/14 dived by 2= 6/7
They are perpendicular
Line 1: -7/6
Line 2: 6/7
A bakery sold 119 chocolate cupcakes in a day. Which was 35% of the total number of cupcakes sold that day . How many total cupcakes did the bakery sell that day??
Answers
100% = ? cupcakes
(119*100)/35=11900/35=340 cupcakes
Answer: 340 cupcakes they sold that day
Hope it helped, good luck.
Answer:
340
is right
Step-by-step explanation:
Find the surface area of this cuboid.
3 cm
5 cm
2 cm
Answers
Answer:
62 cm^2
Step-by-step explanation:
the sides are 3*5, 3*2, and 2*5, and there are two of each. 3*5 is 15, 3*2 is 6, and 2*5 is 10.
we need to find 15*2, which is 30, 6*2, which is 12, and 10*2 which is 20. then we need to add all of these together, which is 62
Fill in the missing numbers in these equation
(-2) . (-4.5)= ?
?=
Answers
Multiplying two negatives makes it positive.
price of 1 kg sugar is rupees 104.25 find the price of 50 kg
Answers
Answer:
5,212.5 rupees
Step-by-step explanation:
If price of 1 kg is 104.25
multiply 50 by 104.25
equals 5,212.5 rupees
Answer:
5212.50 rupees
Step-by-step explanation:
We can use a ratio
1 kg 50 kg
----------- = ---------------
104.25 x
Using cross products
1x = 50 * 104.25
x =5212.50 rupees
write 28 + 24 as a product of two factors using the GCF and the distributive property
Answers
Answer:
4 x 13
Step-by-step explanation:
GCD of 28 and 24 is 4
28 = 4 x 7
24 = 4 x 6
u take the 4 out
4 (7 + 6)
4 x 13
The product of two factors using the GCF and the distributive property is 4(13).
What is the meaning of the greatest common divisor/factor?
The largest integer of highest degree that is an exact divisor of each of two or more integers.
The greatest common divisor of 24 and 28
24=2×2×2×3
28=2×2×7
We can see that the 2 and 2 is common in 24 and 28
The GCD of 28 and 24 is=2×2= 4
For the distributive property we have
28 = 4 x 7
24 = 4 x 6
we take the 4 out
4 (7 + 6)
=4 x 13
Therefore the GCD is 4 and by distributive property product is 4(13).
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Translate this sentence into an equation.
51 is the sum of 17 and Chrissy's height.
Use the variable c to represent Chrissy's height.
Answers
Answer:
c + 17 = 51
Step-by-step explanation: