Answer:
6
Step-by-step explanation:
6x1 = 6, 6x3 = 18
Answer:
The GFC of 6 and 18 is 6
Step-by-step explanation:
6 = 1, 2, 3, 6
18 = 1, 2, 3, 6, 9, 18
*Number that divides both 6 and 18 is 6*
___________________
Hope it helps!
Have a good day!
Giselle pays $279 in advance on her account at the athletic club each time she uses the club $29.99 is deducted from her account. Which answer models her question best
Y = 279(29.99)^x
Y = 279(-29.99)^x
Y = 29.99x - 279
Y = -29.99x + 279
Answer:
Step-by-step explanation:
B is correct. Your starting amount is 210$ And you're taking away 15$ each time she uses the club,x.
solve for x enter the solution from least to greatest (x - 1)^2 - 9 = 0 Lesser x = ___ greater x = ____
Answer:
X=4 or X=-2
Step-by-step explanation:
Step-1 : Multiply the coefficient of the first term by the constant 1 • -8 = -8
Step-2 : Find two factors of -8 whose sum equals the coefficient of the middle term, which is -2 .
-8 + 1 = -7
-4 + 2 = -2 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -4 and 2
x2 - 4x + 2x - 8
Step-4 : Add up the first 2 terms, pulling out like factors :
x • (x-4)
Add up the last 2 terms, pulling out common factors :
2 • (x-4)
Step-5 : Add up the four terms of step 4 :
(x+2) • (x-4)
Which is the desired factorization
Equation at the end of step
1
:
(x + 2) • (x - 4) = 0
STEP
2
:
Theory - Roots of a product
2.1 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:
2.2 Solve : x+2 = 0
Subtract 2 from both sides of the equation :
x = -2
Solving a Single Variable Equation:
2.3 Solve : x-4 = 0
Add 4 to both sides of the equation :
x = 4
Supplement : Solving Quadratic Equation Directly
Solving x2-2x-8 = 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:
3.1 Find the Vertex of y = x2-2x-8
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 - 8.0
or y = -9.000
Parabola, Graphing Vertex and X-Intercepts :
Root plot for : y = x2-2x-8
Axis of Symmetry (dashed) {x}={ 1.00}
Vertex at {x,y} = { 1.00,-9.00}
x -Intercepts (Roots) :
Root 1 at {x,y} = {-2.00, 0.00}
Root 2 at {x,y} = { 4.00, 0.00}
Solve Quadratic Equation by Completing The Square
3.2 Solving x2-2x-8 = 0 by Completing The Square .
Add 8 to both side of the equation :
x2-2x = 8
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 :
8 + 1 or, (8/1)+(1/1)
The common denominator of the two fractions is 1 Adding (8/1)+(1/1) gives 9/1
So adding to both sides we finally get :
x2-2x+1 = 9
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 = 9 and
x2-2x+1 = (x-1)2
then, according to the law of transitivity,
(x-1)2 = 9
We'll refer to this Equation as Eq. #3.2.1
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. #3.2.1 we get:
x-1 = √ 9
Add 1 to both sides to obtain:
x = 1 + √ 9
Since a square root has two values, one positive and the other negative
x2 - 2x - 8 = 0
has two solutions:
x = 1 + √ 9
or
x = 1 - √ 9
Solve Quadratic Equation using the Quadratic Formula
3.3 Solving x2-2x-8 = 0 by the Quadratic Formula .
According to the Quadratic Formula, x , the solution for Ax2+Bx+C = 0 , where A, B and C are numbers, often called coefficients, is given by :
- B ± √ B2-4AC
x = ————————
2A
In our case, A = 1
B = -2
C = -8
Accordingly, B2 - 4AC =
4 - (-32) =
36
Applying the quadratic formula :
2 ± √ 36
x = —————
2
Can √ 36 be simplified ?
Yes! The prime factorization of 36 is
2•2•3•3
√ 36 = √ 2•2•3•3 =2•3•√ 1 =
± 6 • √ 1 =
± 6
So now we are looking at:
x = ( 2 ± 6) / 2
Two real solutions:
x =(2+√36)/2=1+3= 4.000
or:
x =(2-√36)/2=1-3= -2.000
what percentage is 879.75 of 900
35 is 20% of what number
Pls show your work with a double number line
Thank you!
Answer:
X20=35/100 do 35 times 20 which is 700do 700 divided by 100 so the answer is 7
Step-by-step explanation:
help plz:
14. Factor the following:
a. x^2 - 25
b. y^2 - 36
c. x^2 - 14x + 13
d. s^2 + 7s + 10
Answer:
a.(x+5)(x-5) b.(y+6)(y-6) c.(x-1)(x+13) d. (s+2)(s+5)
Step-by-step explanation:
Sorry no step for c and d
for a 25 is a perfect square 5*5=25 -5*5=-25
for b it's same
sorry I'm rushing
Answer:
Its A i do believe
Step-by-step explanation:
please help ! I will give 20 points ! ( also have a good day ! :D )
Answer: 7776 :^
Step-by-step explanation:
How can you tell when a rate is a unit rate?
Each of the numbers in the rate are single digit numbers.
Each of the numbers in the rate are single digit numbers.
It has a label.
It has a label.
It has a numerator of 1.
It has a numerator of 1.
It has a denominator of 1.
It has a denominator of 1.
Answer:
It has a numerator of 1
Which equation best represents the line?
y = 3x + 3
y = 1/2x − 3
y = 1/2x + 3
y = 3x + 1/2
Answer:
the third one, y = 1/2x + 3
Answer:
y = 1/2x + 3
Step-by-step explanation:
The y intercept is 3 and the slope is 1/2.
Reduce to simplest form.
12/11 - (-2/3) =
Answer:
58 /33
Step-by-step explanation:
Use math-way for math questions:)
Answer:
58/33
Step-by-step explanation:
FREEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEPOINTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTSSSSSSSSSSSSSSSSSS
JUST KIDDING OKAY DONT STEAL Y POINTS ANSWER THIS LZ Who here is in k12 online school 7th 2021 PLEASE DONT answer if ur not plz?
Answer:
its about drive
its about power
Step-by-step explanation:
Write 28 x 32 in commutative property. No links!
32 x 28
you just have to flip them, and it'll be commutative! :D
plz help i will give branlyist to first right answer
(219,379.01 - x) / x = .3321
Answer:x = 164686.592598
Step-by-step explanation:
219379.01−x/x = 0.3321
−x+219379.01/x = 0.3321
Step 1: Multiply both sides by x.
−x+219379.01≈0.3321x
−x+219379.01 − 0.3321x = 0.3321x−0.3321x (Subtract 0.3321x from both sides)
−1.3321x + 219379.01 = 0
−1.3321x + 219379.01 − 219379.01 = 0 − 219379.01 (Subtract 219379.01 from both sides)
−1.3321x = −219379.01
−1.3321x/−1.3321 = −219379.01/−1.3321
(Divide both sides by -1.3321)
x = 164686.592598
Answer:
164,686.59
Step-by-step explanation:
Carry out the division, then solve for x.
(219,379.01 - x) / x = .3321 . . . . . given
219,379.01/x -1 = 0.3321
219,379.01/x = 1.3321 . . . . add 1
219,379.01/1.3321 = x ≈ 164,686.59 . . . . multiply by x/1.3321
Rounded to 8 significant digits, the value of x is 164,686.59.
_____
The fractional portion is 7894/13321, which has a very long repeating decimal equivalent.
Write an equation for the constant of proportionality.
Answer:
they r all multiple by 3
Step-by-step explanation:
2×3=6
4×3=12
6×3=18
8×3=24
10×3=30
Answer:
Step-by-step explanation:
as hotdogs (x) increase by 2 the cost (y) increases by 6
6/2 = 3/1 = 3
y = 3x
|5y-3|=15 Solve for Y
Answer:
The two roots are -12/5 and 18/5
Step-by-step explanation:
One way of simplifying the work involved here is to isolate y: start this by dividing all 3 terms by 5, obtaining:
|y - 3/5| = 3
Then 3/5 is the 'center' and 3 is the distance from this center to each of the two roots.
First root is 3/5 + 3, or 3 3/5, or 18/5.
Second root is 3/5 - 3, or -2 2/5, or -12/5
Delores has at most $500 for entertainment throughout the month. If she spends $45 per week on eating out and $25 each week on movies, what's the most amount she can spend on other entertainment throughout the month?
Answer:
The answer would be 280
Step-by-step explanation:
If there are about 4 weeks in each month and she eats out every week for 45 dollars.
45x4=180
and if she goes to the movies each week at 25 dollars do the same thing.
25x4=100
when you add the two sums together
180+100=280
finally you subtract 280 from the original number,
500-280=220
so delores would have 220 dollar left over for other activities.
please help me I need help this is due today.
Step-by-step explanation:
the equation is y=mx + b. the m (or the thing that comes before the x in the equation) is your slope, the y intercept is the last number. if the last number is preceded by a minus sign, the intercept number is negative
Answer:
For example, number 1's slope is 5/3. On a graph, you would go up 5 (not in block, but in numerical value) and right 3. The y-intercept is -2. This is where your line starts on the graph.
Step-by-step explanation:
y=mx+b b= y-intercept y-intercept=where the line crosses the y-axis m=slope slope== rise/run or slope formula, m=y2-y1/x2-x1
HELP ME PLEASE ASAP!!!!!!!!!!!!!!!!
[tex]\dfrac{x}{4} < -1.5\\\\\implies \dfrac x4 < -\dfrac 32\\\\\implies x < -\dfrac{3}2 \times 4\\\\\implies x< -\dfrac{12}2}\\\\\implies x<-6[/tex]
WHOEVER ANSWERS FIRST GETS A BRAINLIEST AND 20 POINTS
Which of the following is the algebraic form for the verbal statement shown?
"The sum of the 5 and a number results in 14"
A. n-5=14
B. 5-n=14
C. 5+n=14
D. n+14=5
Answer:
C
Step-by-step explanation:
clearly C can be interpreted as the said word problem
Answer:
C.
Step-by-step explanation:
and the number is 9
Because 9 + 5 = 14.
5x10 I just want to give away :D
Answer: 50
Step-by-step explanation:
Plz Help Right Now Please Answer All Questions!
Your answers are all on the attachments and the explanations as well
Step-by-step explanation:
Click the attachments pleaseee!
hope this helped :3!
32) 48,504 ÷ 16
33) Is the sum of 15,398 + 7,292 even or odd? Why? 34) Is the product of 312,234 x 8,987 even or odd? Why?
34) Is the product of 312,234 x 8,987 even or odd? Why?
Your final bill is $51.28. This includes a 12% tip. What was the bill without tip?
Answer:
$45.13
Step-by-step explanation:
what is 12% of 51.28 change 12% to a decimal by moving two spaces to left =0.12. multiple by 51.28= 6.15 that is the amount of the tip then subtract it from 51.28-6.15= $45.13 original amount before the tip.
HELP I WILL GIVE BRAINLIST AND EXTRA POINTS!!! Johnny ate 55 cookies his friend made 72 cookies after Johnny 855 cookies. His friend made 53 point72 5 more cookies. How many cookies did Johnny's friend make ?
Write 3 complete sentences.
Answer: he will have only one cookie left
Step-by-step explanation:
Answer:90
Step-by-step explanation:
let the number of cookies be x
let the number of friends by y
x - 5y = 0
x - 3y = 36
subtract them:
-2y = -36
y = 18
x - 5(18) = 0
x = 90
John has 90 cookies.
plz helppp!!!!! I NEED IT NOWW !!!!!!!!!!!!!!!!
Answer:
A
Step-by-step explanation:
A middle school has an oval track with the dimensions shown. What is the distance around the track? use 3.14 for π. show your work.
what is the answer 4.3 x .8
Answer:
The answer is 3.44
Step-by-step explanation:
4.3 × 0.8 = 3.44
The answer is 3.44
-TheUnknownScientist 72
Answer:
3.44
Step-by-step explanation:
A box of cereal states that there are 99 calories in a 3/4 cup serving. What is the unit rate for calories per cup? How many calories in 4 cups of cereal
Answer:
Hello There!
According to the question,
It is said that we have to find calories in 4 cups.
First we have to find in each cup.
So
[tex] \frac{3}{4} \times x = 99 \\ \\ so \: x = 99 \times \frac{4}{3} \\ \\ [/tex]
simplify 99 and 3 then it will look like
[tex]33 \times \frac{4}{1} [/tex]
1 has no value so 33×4=132 calories
Now it is in each cup or 1 cup.
To find in 4 cups, multiply 132×4
[tex]132 \times 4 = 528[/tex]
So 528 calories is the answer.
[tex]\Large\textsf{Hope \: It \: Helped}[/tex]
2(3y + 7 + 5) = 196 - 16
what’s the value of y?
And tell me how you know this and why or Y ahahahahahaha
Answer:
y=60
Step-by-step explanation:
196 - 16 = 180
7 + 5 = 12
12 + 3y = 15y
2 * 15y = 30y
180 ÷ 30 = 60
y = 60
Answer:
y=26
Step-by-step explanation:
Let's solve your equation step-by-step.
2(3y+7+5)=196-16
Step 1: Simplify both sides of the equation.
2(3y+7+5)=196-16
(2)(3y)+(2)(7)+(2)(5)=196+-16 (Distribute)
6y+14+10=196+-16
(6y)+(14+10)=(196=-16) (Combine Like Terms)
6y+24=180
Step 2: Subtract 24 from both sides.
6y+24-24=180-24
6y=156
Step 3: Divide both sides by 6.
6y/6 = 156/6
y=26
please help ! i'll give brainliest to the first person who gets it right ! :,>
Answer:
±16
Step-by-step explanation:
the square root of 256 is positive or negative 16! (if it only lets you put one answer, put positive 16).
Answer:
16
Step-by-step explanation:
16*16=256