7. Which three lengths could be the lengths of the sides of a triangle
O 11 cm, 11 cm, 24 cm
O 18 cm, 12 cm, 9 cm
O9 cm,
19 cm,
10 cm
O4 cm, 7 cm, 23 cm

x intercepts are 5 and 7

The third point I used was (6,-2); however, you can use any other point you want as long as it's not one of the x intercepts mentioned.

==========================================================

Explanation:

The x intercepts are 5 and 7, where the parabola crosses the x axis. Because of these roots, the two factors are x-5 and x-7.

We can think of the root x = 5 turning into x-5 = 0 after subtracting 5 from both sides. The same goes for x = 7 turning into x-7 = 0.

Put together, the two factors lead to (x-5)(x-7) and we get the equation y = (x-5)(x-7). Plugging either x = 5 or x = 7 into this equation produces y = 0.

-------------------

Notice that plugging in x = 6 leads to...

y = (x-5)(x-7)

y = (6-5)(6-7)

y = (1)(-1)

y = -1

However, the graph shows that x = 6 should lead to y = -2 instead. To fix this, we can stick a 2 out front like so

y = 2(x-5)(x-7)

y = 2(6-5)(6-7)

y = 2(1)(-1)

y = -2

The error has been fixed. As you can see, we need this third point to help nail down the parabolic equation. You can pick any other x value you want as long as it's not 5 or 7.

-------------------

Let's try another x value. Let's say we pick x = 8

y = 2(x-5)(x-7)

y = 2(8-5)(8-7)

y = 2(3)(1)

y = 6

We see that x = 8 leads to y = 6. This matches what the graph shows that (8,6) is a point on the parabola. I'll let you try other x values.

-------------------

In short, we used the roots 5 and 7 to generate the partial factorization (x-5)(x-7). Then we used a third point (6,-2) to help determine the coefficient out front which was 2.

So after using that point, we go from y = (x-5)(x-7) to y = 2(x-5)(x-7) which is the final answer. This is considered x-intercept form because we can quickly read off the x intercepts from this equation.

Answer:

Step-by-step explanation:

If you like my answer than please mark me brainliest

Answer:

The numbers are : 60 , 62

Step-by-step explanation:

Let the two consecutive even numbers be 2x , 2x + 2

2x + 2x + 2 = 122

Combine like terms

4x + 2 = 122

Subtract 2 from both sides

4x = 122 - 2

4x = 120

x = 120/4

x = 30

2x = 2*30 = 60

2x + 2 = 2*30 + 2 = 60 + 2 = 62

Answer:

a, d

Step-by-step explanation:

Hope this helps

let me know weather it is right or wrong

Answer:

330/495 = 2/3

the answer is 2/3

Answer:

3 : 2

Step-by-step explanation:

Total pages : allotted pages = 495 : 330

Find the HCF of 495 and 330

495 = 5 * 3*3*11

330 = 5 * 3 * 2 * 11      

HCF = 5 * 3 * 11 = 165

Divide 495 and 330 by 165

495 : 330 = 3 : 2                      

Answer:

See below:

Step-by-step explanation:

Hello! I hope you are having a nice day.

We can solve the problem in 2 steps, one being Solving, and the second being Comprehending. I'll start with comprehending.

Comprehending

We can start by analyzing the problem and creating an equation to then begin solving.

So, we know that a number, which we will call [tex]x[/tex] has a discount of 10% to get the current price of $810. We know that when there is a discount, we need to find what the 10 percent is then add it to the current price;$810.

We can create a formula and steps by doing the following:

[tex]x*0.9=810[/tex]

We have 0.9 as there is a 10% discount (0.1) and we subtract 1.00 by 0.1 to get 0.9. (Which is 90%).

This states that 90% of a number is equal to 810.

Now that we have an equation, we can begin solving.

Solving

We can solve the problem by using basic algebra.

[tex]x*0.9=810\\x*\frac{9}{10}=810\\x=(810*10)\div 9\\x=8100 \div 9\\x=900[/tex]

On step 1, we convert the decimal to a fraction for easy simplification/solving.

On step 2, we split the fraction into two and since we're dividing, we can flip the fraction and multiply by 10 and divide by 9.

On step 3, we use basic algebra and after step 4 we get our answer.

We can double check out answer by doing the following:

[tex]900-(900*0.10)=810?\\900-90=810?\\810=810[/tex]

We have checked our answer and gotten our answer of $900.

Cheers!

Step-by-step explanation:

let the ginger ales be $x and the bagels $y.

Case 1, 2x+2y=6.60 x+y=3.30 ......1

Case 2, 4x+3y=11.70. .....2

1, x+y=3.30...×4

2, 4x+3y=11.70...×1

1, 4x+4y=13.20

2, 4x+3y=11.70

(-) (-) (-)

____________

y=1.50

____________

now, placing the value of y in equation 1,

x+y=3.30

x+1.50=3.30

x=1.80

therefore, the exact cost of one bagel and one ginger ale is $1.50 and $1.80 respectively.

hope this helps you.

Answer:

Number 1 is 3.5, Number 2 is 4.29(because their are 30 days in april), Number 3 is 11, Number 4 is 90.5 miles per hour(MPH) i think

Step-by-step explanation:

Answer:

( -7, ∞)

Step-by-step explanation:

2(4x - 3) ≥ 5x - 27

8x - 6 ≥ 5x - 27

3x - 6  ≥ -27

3x ≥ -27 +6

3x ≥ -21

x ≥ -7

All numbers great than -7

Answer:

Step-by-step explanation:

Apple pie - p, apple tart - t

Set the system as follows:

Solve by substitution, p = 19 - 3t:

Find the value of p:

The equations are

Subtracting both equations

[tex]\\ \sf\longmapsto 2y=8[/tex]

[tex]\\ \sf\longmapsto y=4[/tex]

Put in equation (2)

[tex]\\ \sf\longmapsto x+4=11[/tex]

[tex]\\ \sf\longmapsto x=7[/tex]

Answer:  b = 10

Step-by-step explanation:

We want a ratio of b/2 that is equal to the ratio of 1/4 to 1 1/4 (or 5/4).

Ratio of (1/4)/(5/4):

(1/4)/(5/4) = (1/4)*(4/5) = 4/20 = 1/5 or 0.2

We want 2/b = 1/5 or 0.20

2/b = 0.20

b = 2/0.20

b = 10

--

Check:  Does 10/2 = (1/4)/(5/4)?

Yes

b is 10

Answer:

the selected answer/2

Step-by-step explanation:

not a function because the same y has 2 different x values

Answer:

draw a line straight down through p

Answer:

[tex]\displaystyle y + 7 = \frac{1}{5}(x + 4)[/tex]

General Formulas and Concepts:

Algebra I

Point-Slope Form: y - y₁ = m(x - x₁)

Step-by-step explanation:

Step 1: Define

Identify variables.

Point (-4, -7)

Slope m =  [tex]\displaystyle \frac{1}{5}[/tex]

Step 2: Find Equation

Answer:

1 feet = 12 inches3 feet = 36 inchesLarger of buttons dimension is 2 inches

Step-by-step explanation:

Answer:

4,39299

Step-by-step explanation:

I multiplied 3 x all the numbers in 6,973, then 6 x all the numbers (I added a 0 before I multiplied, then added both the products and got my answer.

Answer: 57

Step-by-step explanation: First add the won and lost games then subtract the sum from the total games played to determine how many games were tied. Then take the won games and multiply them by 2, take the tied games, and add them together to get your answer: 57.

Answer:

The sum of the angles of a triangle is always 180, so the answer is

180-102-48=30

Step-by-step explanation:

Answer:

If one of the data points has the form \displaystyle \left(0,a\right)(0,a), then a is the initial value. Using a, substitute the second point into the equation \displaystyle f\left(x\right)=a{\left(b\right)}^{x}f(x)=a(b)

​x

​​ , and solve for b.

If neither of the data points have the form \displaystyle \left(0,a\right)(0,a), substitute both points into two equations with the form \displaystyle f\left(x\right)=a{\left(b\right)}^{x}f(x)=a(b)

​x

​​ . Solve the resulting system of two equations in two unknowns to find a and b.

Using the a and b found in the steps above, write the exponential function in the form \displaystyle f\left(x\right)=a{\left(b\right)}^{x}f(x)=a(b)

​x

​​ .

Step-by-step explanation:

Answer:

2 years

Step-by-step explanation:

casue if you multilpy 2 x 11,500 you get 23,000

Answer:

0.375 is 37.5 % of 1

Step-by-step explanation:

Answer:

There wasn’t any question posted

Step-by-step explanation:

The question was not posted, therefore there is no logical way to help you with the question.

Answer:

d.

took the test

Step-by-step explanation:

Answer:

13 uvugugugugycycycycycycy

Step-by-step explanation:

cycle yvy

Step-by-step explanation:

it's somehow confusing because there's no coordinates for line k

Answer:

[tex]x=7[/tex]

Step-by-step explanation:

[tex]-3x--3+8x-24=6x+7-5x[/tex]

Two negative signs equate to a positive sign, so we can write [tex]--3[/tex] as just [tex]3[/tex]:

[tex]-3x+3+8x-24=6x+7-5x[/tex]

Add up similar terms:

[tex]5x-21=x+7[/tex]

Add 21 to both sides:

[tex]5x-21+21=x+7+21[/tex]

[tex]5x=x+28[/tex]

Subtract x from both sides:

[tex]5x-x=x+28-x[/tex]

[tex]4x=28[/tex]

Divide both sides by 4:

[tex]\frac{4x}{x} =\frac{28}{4}[/tex]

[tex]x=7[/tex]

Answer:

115°

Step-by-step explanation:

From E to B is 180°.

So when looking at angle ACB we get 65°

The angle ACE is equal to 180° - °65 = 115°

To show this is correct we have to add ACE and ACB and that should equal 180° which is true.

Answer:

115°

Step-by-step explanation:

normally straight lines are 180°

so angle ACF is already 90°

to find E, we need to subtract the 90°and the 65°

here it is: 180-(90+ 65)

= 25°

so finally ACE = 90° + 25°

= 115°

;)

Answer:

y=2x^2+1

Step-by-step explanation:

a quadratic equation has a x^2 term