Answer:
-3x2 + 12x - 8
Step-by-step explanation:
Equation at the end of step 1
((0 - 3x2) + 12x) - 8
STEP
2
:
STEP
3
:
Pulling out like terms
3.1 Pull out like factors :
-3x2 + 12x - 8 = -1 • (3x2 - 12x + 8)
Trying to factor by splitting the middle term
3.2 Factoring 3x2 - 12x + 8
The first term is, 3x2 its coefficient is 3 .
The middle term is, -12x its coefficient is -12 .
The last term, "the constant", is +8
Step-1 : Multiply the coefficient of the first term by the constant 3 • 8 = 24
Step-2 : Find two factors of 24 whose sum equals the coefficient of the middle term, which is -12 .
-24 + -1 = -25
-12 + -2 = -14
-8 + -3 = -11
-6 + -4 = -10
-4 + -6 = -10
-3 + -8 = -11
-2 + -12 = -14
-1 + -24 = -25
1 + 24 = 25
2 + 12 = 14
3 + 8 = 11
4 + 6 = 10
6 + 4 = 10
8 + 3 = 11
12 + 2 = 14
24 + 1 = 25
Answer: y=−3(x−2)^2+4
Step-by-step explanation:
f(x)=-3*x^2+12*x+-8
f(x)=-3*(x^2+-4*x+8/3) ( Factor out )
f(x)=-3*(x^2+-4*x+(-2)^2+-1*(-2)^2+8/3) ( Complete the square )
f(x)=-3*((x+-2)^2+-1*(-2)^2+8/3) ( Use the binomial formula )
f(x)=-3*((x+-2)^2+1*-4/3) ( simplify )
f(x)=-3*(x+-2)^2+4 ( expand )
Neil and Joey share a 30-ounce bucket of clay. By the end of the week, Neil has used 1/10 of the bucket, and Joey has used 2/5 of the bucket of clay. How many ounces are left in the bucket?
Answer:
15 ounces
Step-by-step explanation:
1/10 of the bucket is 3 ounces and 2/5 is 12 ounces. add those to get 15 and then do 30-15 which is 15
What is the point slope form of a line with the slope -5 and point (2,-8)?
Answer:
-5x-y=27
Step-by-step explanation:
Plz give brainliest I am trying to rank up.
help me thank you in advance
Answer:
No idea
Step-by-step explanation:
Answer:
I think the answer is 3
Step-by-step explanation:
Explain how to solve systems of linear equations by substitution.
Answer:
Step 1 : First, solve one linear equation for y in terms of x .
Step 2 : Then substitute that expression for y in the other linear equation.
Step 3 : Solve this, and you have the x -coordinate of the intersection.
Step 4 : Then plug in x to either equation to find the corresponding y -coordinate.
Step-by-step explanation:
Find (g-)(x).
f(x)=1/x
g(x) = x^2+ 2x-5
Answer:
C. x^2+ 2x-5 - 1/xStep-by-step explanation:
Givenf(x)=1/x g(x) = x^2+ 2x-5To find(g-f)(x)Solution(g-f)(x) = g(x) - f(x) =x^2+ 2x-5 - 1/xCorrect one is C
Help plsssssssssssss
Answer:5
Step-by-step explanation:-7+8=1 so-3+8=5
What type of number is "0.27820.27820," point, 2782?
Answer:
Decimal
Step-by-step explanation:
Im going to assume you double pasted, happens sometimes. so the answer would be decimal.
Rewrite in simplest terms: 4(-5u+3)-4(8u-1)4(−5u+3)−4(8u−1)
Answer:
640u
2
−492u+55
Step-by-step explanation:
notsure
click on the photo , please help
Answer:
true
Step-by-step explanation:
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452 divided by 7 with remaining
Answer: The answer is 64 remaining 5.
Step-by-step explanation:
Answer:
65 with a remaining of 1
Step-by-step explanation:
Help please really need it
Answer:
Sorry. Haven't learned this yet. Kep trying. I know you'll get it
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
X=5±√7
Stacy paid $54 for 6 pizzas, which is a rate of $ ? per pizza.
Answer: it’s 9
Step-by-step explanation:
54 divined by 6 = 9
Graph.
f(x)=2|x+2|+1
Use the Ray tool to graph the absolute value function.
We can use the Ray tool to graph the absolute value function f(x) = 2|x+2| + 1, which helps us visualize the function by plotting specific points on the coordinate plane.
1. Begin by understanding the structure of the absolute value function f(x) = |x|. The absolute value function takes any input x and returns the positive value of x, making it symmetric concerning the y-axis.
2. In the given function f(x) = 2|x+2| + 1, the "2" in front of the absolute value affects the vertical scale, while the "+2" inside the absolute value causes a horizontal shift of 2 units to the left.
3. Start plotting points on the coordinate plane. To determine the behavior of the graph, consider a few x-values.
- When x = -4, we have f(-4) = 2|-4+2| + 1 = 2| -2| + 1 = 2(2) + 1 = 4 + 1 = 5. So, we have the point (-4, 5).
- When x = -2, we have f(-2) = 2|-2+2| + 1 = 2| 0| + 1 = 2(0) + 1 = 1. So, we have the point (-2, 1).
- When x = -1, we have f(-1) = 2|-1+2| + 1 = 2| 1| + 1 = 2(1) + 1 = 3. So, we have the point (-1, 3).
- When x = 0, we have f(0) = 2|0+2| + 1 = 2| 2| + 1 = 2(2) + 1 = 5. So, we have the point (0, 5).
- Continue this process for other values of x to obtain more points.
4. Plot all the points on the graph and connect them smoothly. Remember to maintain symmetry concerning the y-axis due to the absolute value function.
5. The resulting graph will have a "V" shape, with the vertex at the point (-2, 1). The line will extend upward on both sides, following a steep slope with a vertical stretch of 2.
6. Label the axes and any other relevant points to complete the graph.
By following these steps and utilizing the Ray tool, you can accurately graph the given absolute value function f(x) = 2|x+2| + 1.
For more such questions on graph, click on:
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You bought a bag of cat food for $4.75 and a bag of dog food for $12.59. How much more did you spend on the dog food?
Answer:
$7.84 more
Step-by-step explanation:
To find how much more you spent on dog food, find the difference between the two prices:
12.59 - 4.75
= 7.84
So, you spent $7.84 more on the dog food
Three baseball players are playing catch. Herman is 6 meters south of Luca and 8 meters west of valentina. How far does Luca need to throw the ball to get it to Valentina
Answer:
Luca needs to throw the ball 10 meters to get to Valentina.
Step-by-step explanation:
Distance Between two Points in the Plane
Let's assume Luca is at the origin of coordinates (0,0).
Since Herman is 6 meters south of Luca, he is located at (0,-8).
We also know Herman is 8 meters west of Valentina, or equivalently, Valentina is 8 meters east of Herman. This locates Valentina at (6,-8).
If Luca wanted to throw the ball to Valentina, he would need to cover the distance between them.
Thus the problem reduces to find the distance between (0,0) and (6,-8).
Given two points A(x,y) and B(w,z), the distance between them is:
[tex]d=\sqrt{(z-y)^2+(w-x)^2}[/tex]
Applying the formula:
[tex]d=\sqrt{(-8-0)^2+(6-0)^2}[/tex]
[tex]d=\sqrt{(-8)^2+(6)^2}[/tex]
[tex]d=\sqrt{64+36}=\sqrt{100}=10[/tex]
d=10 m
Luca needs to throw the ball 10 meters to get to Valentina.
In one grade of 150 students, the ratio of boys to girls is 2 : 3.
How many boys are in that grade?
Answer:
60 boys are in the grade.
Step-by-step explanation: Since there are 150 students, we can divide that number by the combined ratio, which in this case is 5. Dividing 150 by 5 would yield 30 students. We can use this information to multiply the given number of boys in the ratio by 30, which would produce 60.
Choose 3 side lengths that would create a right triangle in order from shortest to longest.
Answer:
Step-by-step explanation:
shortest-7
middle-24
longest-25
PLEASE HURRY! WILL GIVE BRAINLEST TO THE BEST ANSWER!
How do i get the equation: 2x+3y=1,470 to slope intercept form. please provide steps :))
Answer:
y= -2 +490
3
Step-by-step explanation:
y=mx+b is the slope intercept form of a like where m is the slope and b is the y intercept
Answer:
y=-2/3x+490
Step-by-step explanation:
As we know the formula for slope intercept form would be y=mx+b
therefore we arrange our numbers in the following manner:
First subtract 2x from 2x so it'll be like 2x-2x and they cancel each other out so keep that in mind, now what you do on one side you have to do it on the other side as well therefore you'll putt -2x on the other side now we are left our equation as 3y=1,470-2x
Second, as we want our form to be slope intercept form I believe that y should be by it self and to do that you need to divide 3 from y, now remember that what you do on one side you have to do it on the other. So you'll divide 3 from all the numbers on the other side. Now on the other side we have 1,470-2x so we will divide 1,470/3=490 and -2x/3 now we are left with y= 490-2/3x ( i left -2/3x as that because dividing makes it a decimal and a decimal and the fraction has the same value so I just left it as a fraction)
Thirdly, sense we want our equation as a slope intercept form we will need to rearange our equation which we need to keep in mind the form which is y=mx+b so that makes it to our answer y=-2/3x+490
Hope this helps :)
Show for y
3x + 2y = 6
Step-by-step explanation:
3x + 2y = 6
-3x -3x
2y = 6 - 3x
/2 /2 /2
y = 3 - 1.5x
Does anyone have tips on writing the middle of your story im not good at it and i need help
Answer:
What is your story about It could be the exciting part of your story!
Step-by-step explanation:
Factor 20w + 70.
i need help!
Answer:
10(2w+7)
Step-by-step explanation:
can someone please help with with this question
Answer:
Try asking your teacher for some help, so he/she can explain it more to you if you don't understand
Step-by-step explanation:
What is the slope of this line?
Enter your answer as a fraction in simplest term in the box
Answer:
m = 0
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASAlgebra I
Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Find points given from the graph.
Point (0, 2)
Point (7, 2)
Step 2: Find slope m
Substitute: [tex]m=\frac{2-2}{7-0}[/tex]Subtract: [tex]m=\frac{0}{7}[/tex]Divide: [tex]m=0[/tex]Any horizontal line will have a slope of 0.
And we have our final answer!
Need help with this please!!
Answer:
1. A) -12, 3 B) -6, 9 C) 0, -6 D) -15, -6
2. L) 1, -4 M) 6, 4 N) 7, -2
3. P) 4, 12 Q) 12, 12 R) 12, 8 S) 4, 8
4. W) 3, -6 X) 9, -3 Y) 15, -6 Z) 9, -9
5. M) -14, -8 N) -8, -6 O) -6, -12 P) -12, -14
6. D) -1, 3 E) 2, 2 F) 2, 1 G) -1, 0
What is the value of x and what does ACB equal to? Please answer as soon as possible! Thanks for your support!
Answer:
11 ; 12°
Step-by-step explanation:
3x + 28 + 2x - 10 + 5x + 52 = 180
10x = 180 - 70
x = 11
m∠C = 2(11) - 10 = 12°
Answer:
Angle ACB = 12°
Step-by-step explanation:
All angles in a triangle always add up to 180°, which gives us an equation to solve for x:
3x + 28 + 5x + 52 + 2x -10 = 180
Combine like terms
10x + 70 = 180
Subtract 70 from both sides
10x = 110
Divide both sides by 10
x = 11
Now we know the value of x, we need to just plug it in to angle ACB's given value:
2(11) - 10 = Angle ACB
22 - 10 = Angle ACB
12 = Angle ACB
(For #8 -9) Choose ONE of the application problems below and solve it using a system of 2 equations.
Remember - word problem, word answer.
8. The high school FFA is selling fruit. Together, Kay and Ayan sell a total of 25 boxes. Kay sells 13 less than Ayan.
How many boxes does each girl sell?
Define your variables:
X =
Y =
boxes.
boxes, and Ayan sold
Kay sold
Answer:
Kay sold 6 boxes and Ayan sold 19 boxes
Step-by-step explanation:
Let x = number of boxes Kay sells
y = number of boxes Ayan sells
Then the equations will be:
[tex]x+y = 25\\x = y-13[/tex]
We can solve the system by using substitution method
Putting x = y-13 in equation 1
[tex]y-13+y = 25\\2y -13 = 25\\2y = 25+13\\2y = 38[/tex]
Dividing both sides by 2
[tex]\frac{2y}{2} = \frac{38}{2}\\y = 19[/tex]
Putting y = 19 in equation 2
[tex]x = y-13\\x = 19-13\\x = 6[/tex]
Hence,
Kay sold 6 boxes and Ayan sold 19 boxes
Is the square root of 13 a rational or irrational number? Explain.
Answer: irrational
Step-by-step explanation:
hye guys i ned help
how do you muiltply dobule digits lik 10x11 help!!!!!!!!!11!
Answer: 11 x 10 = 110.
Step-by-step explanation: you can use a calculator for these types of problems
Answer:
One way is that you do across multiplication so if you did that for 10x11 that'll equal 110
Step-by-step explanation: