2(x -1) + 1/2 (4x + 6)=5

Answer:

Step-by-step explanation:

In order to determine the information you're being asked for, you need to complete the square on that quadratic. The first step is to move the constant over to the other side of the equals sign:

[tex]x^2-2x=3[/tex]

Here would be the step where, if the leading coefficient isn't a 1, you'd factor it out. But ours is a 1, so we're good there. Now take half the linear term (the term with the single x on it), square it, and add it to both sides. Our linear term is a -2.  Half of -2 is -1, and -1 squared is +1. We add +1 to both sides giving us this:

[tex]x^2-2x+1=3+1[/tex]

Now we'll clean it up a bit. The right side becomes a 4, and the left side is written as its perfect square binomial, which is the whole reason we did this. That binomial is

[tex](x-1)^2=4[/tex] (set equal to the 4 here). Now we'll move the 4 back over and set the whole thing back equal to y:

[tex]y=(x-1)^2-4[/tex]

From this it's apparent what the vertex is: (1, -4),

the axis of symmetry is x = 1, and

the y-intercept is found by setting the x's equal to 0 in the original  equation and solving for y. So the y-intercept is (0, -3).

Your choice for the correct answer is the very last one there.

Answer:

The answer is "[tex]\frac{2}{8} > \frac{3}{16}[/tex] So, they eat more brownies with nuts".

Step-by-step explanation:

In the given question, the two browny pans of equal size are baked by Jeremy. There is indeed a saucepan with nuts in it, not the other pan. He split the pot into eight equal chunks with nuts. He slices the pan into 16 equal parts without nuts. His mates eat 2 nuts brownies and three nut-free brownies. They eat more nuts and brownies [tex]\frac{2}{8} > \frac{3}{16}[/tex] eat more.

Answer : 2.5 cups per dollar

Step-by-step explanation:

You need to find to unit rate 4 cups divided by 10$ is 0.40$. Then you need to divided 0.40 into a dollar (which would be 1.00) so 1.00 divided by 0.40 is 2.5 cups

Answer:

Answer:

2^17

Step-by-step explanation:

the indices are added when the integers are multiplied. the integer, however, does not need to be changed since it is already the same.

Answer:

c 7/25

Step-by-step explanation:

edge 2021

Answer:

x = 27

Step-by-step explanation:

(3x - 17) + (x + 40) + (2x - 5) = 180

6x = 17 - 40 + 5 + 180

6x = 162

x = 27

Answer:

The value of x is 27°.

Step-by-step explanation:

Given that total angles inna triangle is 180°. In order to find the value of x, you have to add up all the expressiobs to form 180° :

(3x - 17)° + (x + 40)° + (2x - 5)° = 180°

6x + 18° = 180°

6x = 180° - 18°

6x = 162°

x = 162° ÷ 2

x = 27°

Answer:

14

Step-by-step explanation:

Range is, basically, the span of all y-values.

To find range, you take the highest y-value and subtract from it the lowest y-value.

Here the highest "y" is 7 and the lowest is -7, so the range is 14.

Answer:

g(n) = n2 + 2

g(3) = (3)(2) + 2

g(3) = 8

Answer:

if g(n)=n2+2

you asked g(3)

by substituting the value we get

g(3)=3×2+2

g(3)=6+2

g(3)=8

so the answer is 8

hope it helps you mate

please mark me as brainliast.....

Answer:

A

Step-by-step explanation:

It pretty easy, I just estimate and it should be fine

water melons is >4 (15/3=5)

cereal is <4  (16/4=4 but its 20 cents less so the greatest that could happen is a 2 cent or 5 cent off but either way It’s still less than 3.99)

Pretelzels is <4 (11/3=3 2/3 which is les than 3.99)

icecream is >4 (19/4=4.75)

Answer:

Boxes of ceral and bags of pretzels

Step-by-step explanation:

Answer:

4) F and D are similar but not congruent.

Step-by-step explanation:

HOPE THIS HELP

PICK ME AS THE BRAINLIEST

Answer:

1) D and E are similar but not congruent

Step-by-step explanation:

This is because for it to be congruent they have to have the same size.

Answer:

Growth rate is -0.25

Growth factor is 0.75

Step-by-step explanation:

The general form of an exponential equation is;

y = a(1 + r)^x

Where a is the initial value

r is the growth rate

For x = 3; we have

168.75 = 400(1 + r)^3 •••• (i)

For x = 2, we have

225 = 400(1 + r)^2 •••••(ii)

Divide i by ii

That will be;

168.75/225 = 1 + r

1 + r = 0.75

r = 0.75-1

r = -0.25

The growth rate is -0.25

The growth factor is 1-0.25 = 0.75

Answer:

22

Step-by-step explanation:

[tex]FH=8+14=22[/tex]

Answer:

FH = 22

Step-by-step explanation:

The equation will be,

→ FH = FG + GH

Then the value of FH will be,

→ FH = 8 + 14

→ [ FH = 22 ]

Hence, the value of FH is 22.

Answer:

y = 1/2x + 4

Step-by-step explanation:

Answer:

yep

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

2x + 6 is equal

Answer:

x = 1

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define Equation

6x + 2 = 2(x + 4) - 2

Step 2: Solve for x

Step 3: Check

Plug in x into the original equation to verify it's a solution.

Here we see that 8 does indeed equal 8.

∴ x = 1 is the solution to the equation.

The two irrational roots of the cubic equation are - 2 + √3 and - 2 - √3, respectively.

In this problem we find the definition of a cubic equation, of which one root is known and we need to find the two missing roots. By algebraic handling, the cubic equation is:

f(x) = x³ + 7 · x² + 13 · x + 3

f(x) = (x³ + 3 · x²) + (4 · x² + 12 · x) + (x + 3)

f(x) = x² · (x + 3) + 4 · x · (x + 3) + (x + 3)

f(x) = (x² + 4 · x + 1) · (x + 3)

Then, the roots of x² + 4 · x + 1 are found by using the quadratic formula:

x² + 4 · x + 1 = (x + 2 - √3) · (x + 2 + √3)

To learn more on cubic equations: https://brainly.com/question/1727936

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Answer:

theres is not table shown

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Solution in y-intercept form y=mx+b

We can calculate the slope of the line using any 2 of the given points: I pick (0,3) and (3,9) . Recall the formula for finding the slope of the line through 2 points (x1,y1) and (x2,y2) as m=(y2-y1)/(x2-x1)

By plugging in the corresponding values, we get (9-3)/(3-0)=6/3=2

Since we now the value of y when x is zero, i.e. the point (0,3) of the table, then the value of b is 3.

Now, putting everything together, we have y=2x+3

Solution in point-slope form y-y1=m(x-x1)

You can proceed the same way above to find the slope m=2

Now use one of the points in the given table to plug into x1 and y1

Doing the last 2 steps will result in y-23=2(x-10) if you use the point (10,23)

Realize that the point slope form of the equation of a line is not unique since using a different point will result in different values of x1 and y1. So the answer is A

Answer:

b

Step-by-step explanation:

31x 1 is 850

Answer:

A function f is even if the graph of f is symmetric with respect to the y-axis. Algebraically, f is even if and only if f(-x) = f(x) for all x in the domain of f.

Answer:

Cannot be determined

Step-by-step explanation:

You get that angles 4 + 5 and 2 + 1 are equal to 180 each. We still have angle 3 left over, and that angle could be anything, so it cannot be determined

Answer:

well 4+5=180°, 1+3=180°, that's 360, so I guess can't be determined since there's still another angle???

Step-by-step explanation:

idk, the answer choices could be wrong or im just wrong

Part a: The value of x such that the both lines are parallel to each other is (x = 12).

Part : The value of y such that the both lines are parallel to each other is (y = 108).

In the given figure;

Part a: For making the lines w and t parallel to each other; their corresponding angles must be equal.

Thus,

4x + 60 = 9x

Solving;

9x - 4x = 60

5x = 60

x = 12

Thus, the value of x for which both lines w and t are parallel is 12.

Part b: For making the lines u and v parallel to each other; their corresponding angles must be equal.

Thus, 9x = y

Put x = 12.

y = 9×12

y = 108.

Thus, the value of y for which both lines u and v are parallel is 108.

To know more about the corresponding angles, here

https://brainly.com/question/22190474

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Answer:

The equation is:

[tex]y = -x + 7[/tex]

Step-by-step explanation:

Given the endpoints of a side of a rectangle

Finding the slope

[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\left(x_1,\:y_1\right)=\left(1,\:6\right),\:\left(x_2,\:y_2\right)=\left(6,\:1\right)[/tex]

[tex]m=\frac{1-6}{6-1}[/tex]

[tex]m=-1[/tex]

Using the point-slope form of a line equation

[tex]y-y_1=m\left(x-x_1\right)[/tex]

substituting the values m = -1 and the point (1, 6)

[tex]y - 6 = -1 (x - 1)[/tex]

[tex]y - 6 = -x + 1[/tex]

[tex]y = -x + 1 + 6[/tex]

[tex]y = -x + 7[/tex]

Thus, the equation is:

[tex]y = -x + 7[/tex]

Answer:

21 meters

Step-by-step explanation:

Each inch is 5.25 meters, so you multiply 4(the number of inches) by 5.25(how much 1 inch represents) to get a final answer of 21. Hope this helps!

Answer:

Okay, so its kinda funny that you ask this question because its on our performance final that's due tomorrow but use elimination.

Step-by-step explanation:

Answer:

(x-3)/4=y

Step-by-step explanation:

substitute x for y and y for x

x=4y+3

subtract 3 from both sides

x-3=4y

divide both sides by 4

(x-3)/4=y

Answer:

you put 3x and 9 on the left side of the box then you put 5x and 9 on the top of the box then you multiply 3x and 5x which is 8x and you put that in your first square... then you do the same its a pattern did i explained ok or good..

Step-by-step explanation: