Answer:
23
Step-by-step explanation:
4+3+6+10
4+3 = 7
7 + 6 = 13
13 + 10 = 23
This is super easy, no offense
Write the equation.Please help
Answer: y=3x
Step-by-step explanation:
We want an equation of the form y=mx+b where m is the slope and b is the y-intercept (the value of y when x is 0).
The slope: From the point (0,0), the braph goes to point (2,6). Slope is the rise (y) over the run(x): (6/2) or 3. The slope, m, is 3. b, the y-intercept, is 0. y is 0 when x is 0.
y=3x
X^5-2x^4-24x^3=0. solve by factoring
Answer:
1. x=6
2. x = -4
3. x³ = 0
Step-by-step explanation:
Step 1: Equation at the end of step 1
((x⁵) - ( 2 · (x⁴)))-(2³· 3x³) = 0
Step 2:
Equation at the end of step 2:
((x⁵)-2x⁴)-(2³ · 3x³) = 0
Step 3: X
Step 4: Pulling out like terms
Pull out like factors :
x⁵ - 2x⁴ -24x³ = x³· (x² - 2x -24)
Trying to factor by splitting the middle term
Factoring x² -2x - 24
The first term is, x² ts coefficient is 1 .
The middle term is, -2x its coefficient is -2 .
The last term, "the constant", is -24
Step-1 : Multiply the coefficient of the first term by the constant 1 • -24 = -24
Step-2 : Find two factors of -24 whose sum equals the coefficient of the middle term, which is -2 .
-24 + 1 = -23
-12 + 2 = -10
-8 + 3 = -5
-6 + 4 = -2 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -6 and 4
x2 - 6x + 4x - 24
Step-4 : Add up the first 2 terms, pulling out like factors :
x • (x-6)
Add up the last 2 terms, pulling out common factors :
4 • (x-6)
Step-5 : Add up the four terms of step 4 :
(x+4) • (x-6)
Which is the desired factorization
Equation at the end of step
4
:
x3 • (x + 4) • (x - 6) = 0
STEP
5
:
Theory - Roots of a product
5.1 A product of several terms equals zero.
When a product of two or more terms equals zero, then at least one of the terms must be zero.
We shall now solve each term = 0 separately
In other words, we are going to solve as many equations as there are terms in the product
Any solution of term = 0 solves product = 0 as well.
Solving a Single Variable Equation:
5.2 Solve : x3 = 0
Solution is x3 = 0
Solving a Single Variable Equation:
5.3 Solve : x+4 = 0
Subtract 4 from both sides of the equation :
x = -4
Solving a Single Variable Equation:
5.4 Solve : x-6 = 0
Add 6 to both sides of the equation :
x = 6
Supplement : Solving Quadratic Equation Directly
Solving x2-2x-24 = 0 directly
Earlier we factored this polynomial by splitting the middle term. let us now solve the equation by Completing The Square and by using the Quadratic Formula
Parabola, Finding the Vertex:
6.1 Find the Vertex of y = x2-2x-24
Parabolas have a highest or a lowest point called the Vertex . Our parabola opens up and accordingly has a lowest point (AKA absolute minimum) . We know this even before plotting "y" because the coefficient of the first term, 1 , is positive (greater than zero).
Each parabola has a vertical line of symmetry that passes through its vertex. Because of this symmetry, the line of symmetry would, for example, pass through the midpoint of the two x -intercepts (roots or solutions) of the parabola. That is, if the parabola has indeed two real solutions.
Parabolas can model many real life situations, such as the height above ground, of an object thrown upward, after some period of time. The vertex of the parabola can provide us with information, such as the maximum height that object, thrown upwards, can reach. For this reason we want to be able to find the coordinates of the vertex.
For any parabola,Ax2+Bx+C,the x -coordinate of the vertex is given by -B/(2A) . In our case the x coordinate is 1.0000
Plugging into the parabola formula 1.0000 for x we can calculate the y -coordinate :
y = 1.0 * 1.00 * 1.00 - 2.0 * 1.00 - 24.0
or y = -25.000
Parabola, Graphing Vertex and X-Intercepts :
Root plot for : y = x2-2x-24
Axis of Symmetry (dashed) {x}={ 1.00}
Vertex at {x,y} = { 1.00,-25.00}
x -Intercepts (Roots) :
Root 1 at {x,y} = {-4.00, 0.00}
Root 2 at {x,y} = { 6.00, 0.00}
Solve Quadratic Equation by Completing The Square
6.2 Solving x2-2x-24 = 0 by Completing The Square .
Add 24 to both side of the equation :
x2-2x = 24
Now the clever bit: Take the coefficient of x , which is 2 , divide by two, giving 1 , and finally square it giving 1
Add 1 to both sides of the equation :
On the right hand side we have :
24 + 1 or, (24/1)+(1/1)
The common denominator of the two fractions is 1 Adding (24/1)+(1/1) gives 25/1
So adding to both sides we finally get :
x2-2x+1 = 25
Adding 1 has completed the left hand side into a perfect square :
x2-2x+1 =
(x-1) • (x-1) =
(x-1)2
Things which are equal to the same thing are also equal to one another. Since
x2-2x+1 = 25 and
x2-2x+1 = (x-1)2
then, according to the law of transitivity,
(x-1)2 = 25
We'll refer to this Equation as Eq. #6.2.1
The Square Root Principle says that When two things are equal, their square roots are equal.
Note that the square root of
(x-1)2 is
(x-1)2/2 =
(x-1)1 =
x-1
Now, applying the Square Root Principle to Eq. #6.2.1 we get:
x-1 = √ 25
Add 1 to both sides to obtain:
x = 1 + √ 25
Three solutions were found :
x = 6
x = -4
x3 = 0
what is the mean of a standard normal distribution?
Brody is taking a multiple choice test with a total of 20 points available. Each
question is worth exactly 1 point. What would be Brody's test score (out of 20) if he
got 9 questions wrong? What would be his score if he got x questions wrong?
Answer: Brody's test score is 11/20 and 20 - x/20
Step-by-step explanation:
If Brody gets x questions wrong, this could only possible answer is 20 - x.
Using this formula, we could now answer the first question.
20 - x
20 - 9 = 11
We could then conclude that Brody got 11 correct answers out of 20 answers.
Given an equation: y=3x-2, write an equation of a parallel line that includes the point (1,5)
Answer:
y = 3x + 2
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 )
y = 3x - 2 ← is in slope- intercept form
with slope m = 3
Parallel lines have equal slopes , then
y = 3x + c ← is the partial equation
To find c substitute (1, 5 ) into the partial equation
5 = 3 + c ⇒ c = 5 - 3 = 2
y = 3x + 2 ← equation of parallel line
352x 408 in standard algorithm
Answer:
Multiply 408 by 352.143616x
Step-by-step explanation:
Lmk if im wrong.
9. Which unit of measure would be appropriate for the volume of a cube with sides of 2 meters.
Answer:
The unit of measure appropriate is cubic metre or cubic meter (m³)
Step-by-step Explanation:
we know that
The volume of a cube is equal to
V = b^3
where b is the length side of the cube
In this problem we have
b = 2m
substitute in the formula of volume
V = 2^3
V = 8 m^3
therefore
The unit of measure appropriate is cubic metre (m³)
what is an equivalent ratio to 5/2
Answer:
The simplest form of ratio 6:15=2×3:5×3=2:5
So, 2:5 is equivalent to 6:15
Step-by-step explanation:
Hope this helps :)
Answer:
10/4
Step-by-step explanation:
guys pls help me!!!!!!
Answer:
48 degrees
Step-by-step explanation:
Answer: 6.8
Step-by-step explanation:
nnxj
John makes $8.25 per hour after he got a 50 cent raise. Write the equation
Answer:
8.25+50
Step-by-step explanation:
how do i write 5z in expanded notation
Please help complete the table to show the coefficents of each term in the expression
Answer:
In order from left to right
5,0,0,-4,0,0,8
Step-by-step explanation:
A coefficient is a number that comes before the variable in an equation. First of all, it is important to note that variables that are not present in the equation have a coefficient of 0. This is because 0 times a number is 0; therefore, if a variable is not present it must be multiplied by 0. Additionally, constants can be represented as [tex]x^0[/tex]. Any number raised to the power of 0 is 1. Thus, the coefficient of x^0 is 5 because 1*5=5. Finally, the numbers 8 and -4 appear before [tex]x^6[/tex] and [tex]x^3[/tex], respectfully. Since they come before variables in a term they must be coefficients.
Can someone answer my math?
Answer:
wlang mag sasagot yn HAHAH dapat para sagotan ni lolo 50pts ilagay mo HAHA
The Cortez family is traveling from Miami to Washington, D.C. They plan to average 55 miles per hour on their trip.
About how many drive hours will it take the Cortez family to make the trip?
Step-by-step explanation:
Miami is approximately 1,054 mi away from Washington DC. assuming the Cortez family is driving in a straight line the time they will be on the road is
[tex]let \: h = hrs[/tex]
[tex] 1054mi \div \frac{55mi}{h } \\ \frac{1054mi}{1} \times \frac{h}{55mi} \\ = \frac{1054mi(h)}{55mi} [/tex]
The miles unit, mi cancels and leaves us with hours, h
[tex] \frac{1054 \: h}{55} \: \: \: \: is \: approx. \: \: \: \: 19.16 \: \: hrs[/tex]
Help please thank you so much!
Answer:
Answer: 20
Step-by-step explanation:
2^2-4=0.25
5/0.25=20
How many solutions does this linear system have?
y = -6x+2
-12x - 2y = -4
one solution: (0,0)
O one solution: (1.4)
O no solution
O infinite number of solutions
Answer:
in finity
Step-by-step explanation:
Both provide ATP molecules, but only fermentation occurs when oxygen is present.
okokoo
The linear system have y = -6x+2 and -12x - 2y = -4 have infinite number of solutions.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
The given system of linear equations are y = -6x+2 and -12x - 2y = -4
To solve this system, we can substitute the expression for y from the first equation into the second equation, as follows.
-12x - 2y = -4
substitute y = -6x + 2 from first equation
-12x - 2(-6x + 2) = -4
Distribute the negative sign
-12x + 12x - 4 = -4
0 = 0
The equation 0 = 0 is a true statement, which means that the system has infinitely many solutions.
Hence, the linear system have y = -6x+2 and -12x - 2y = -4 have infinite number of solutions.
To learn more on Equation:
https://brainly.com/question/10413253
#SPJ7
Please help me on this
Answer:
4/8 and 5/10
Step-by-step explanation:
since it is 1/2, take the top number and multiply it by two, 4x2=8 5x2=10 and since they equal to the second or bottom number it is equivalent
can somebody tell me what this is please ?
(3/5)n + 15 = 10 + (2/5)n [transpose like terms to each side of the equal sign]
(3/5)n - (2/5)n = 10 -15 [simplify]
(1/5)n = -5 [multiply both sides by 5]
n = - 25
The angle measurements in the diagram are represented by the following expressions.
ZA = 5x + 34°
ZB = 2x + 76°
Solve for x and then find the measure of ZA:
ZA=
point A (-1-1) point B(-2-1)
What are two ways to write 2a-18 in words
Answer:
Step-by-step explanation:
2a-18
two a minus eighteen
two a takeaway eighteen
two a subtract eighteen
two a deduct eighteen
if 0
prove:
a) a³
what is the answer?
I think you meant, if a = 0.
If a = 0, then,
a³ = 0³
a³ = 0 × 0 × 0
a³ = 0
Any number multiplied by 0 is 0.0.048百万 + 16 x 72 000 =?
Answer:
1152000.048
Step-by-step explanation:
Zach is trying to decide which of three golf
courses is the best. He randomly surveyed
people at a sports store and recorded the
results in the table. Is the sample method
valid? If so, suppose Zach surveyed 150
more people. How many people would be
expected to vote for Rolling Meadows?
Justify your answer.
Answer:
No, the population of people is poorly represented with this low sample size. 150 would better represent the population as a whole. 42 people would want to play on Rolling Meadows. (according to the previous data)
Step-by-step explanation:
Most likely this small sample size is too small to gain sufficient data from the whole population. If he were to survey a larger sample of people, he would overall better represent the population as a whole. The percentage of people who would prefer Rolling Meadows in the first sample was 28% (7/25). So just multiply 150 times .28 and get 42. 42 people would want to play on Rolling Meadows.
f(x) = 2.5e-0.04x and g(x) = 1.2 + 0.2x.
f(x) - g(x)
2.5e - 0.04x - 1.2 + 0.2
0.16x + 5.59570457
I beat the wither and the ender dragon what next
how many grams of paint are needed to color the rectangular box below, if 5 grams of the paint are needed to color one small cube.
Answer: 210 grams
Step-by-step explanation:
Given,
One cube= 5 grams of paint
According to question,
There are= (9*2)+(6*4) cubes
= 18+24 cubes
=42 cubes
Total paint needed= 5*42 grams
=210 grams(answer)
The people on this app are mean for not answering
aggreed very mean.....
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How to solve for j -10=║j-7║
Answer:
No solutions.
Step-by-step explanation:
-10 = 7
No solutions
i do not understand question 6
9514 1404 393
Answer:
28
Step-by-step explanation:
The diagonals of the parallelogram are AC and BD. The way the diagram is drawn, BD is the long diagonal, said to be 24 inches. AC is the short diagonal, said to be 12 inches.
Since AC bisects BD at point E, point E is the midpoint of BD. That means BE = (24 inches)/2 = 12 inches.
Since BD bisects AC at point E, point E is the midpoint of AC. That means EC = (12 inches)/2 = 6 inches.
__
Now, we know the lengths of the sides of ΔBEC, so we can find its perimeter. The perimeter of any geometry is the sum of the lengths of its sides.
perimeter ΔBEC = CB +BE +EC
perimeter ΔBEC = 10 in + 12 in + 6 in = 28 in
The perimeter of triangle BEC is 28 inches.
The number 49 has two square roots: 7 and _____
Answer:
-7
Step-by-step explanation:
Square numbers always have two possible roots: a positive and negative root. This is because two positive numbers multiply to make a positive number and two negative numbers also multiply to make a positive number
-7 × -7 is still 49, just like 7 × 7
Hope this helps!