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3 years ago

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A LOT OF POINTSSSSSSSSSS!!!!!! PLS TELL ME THE CORRECT ANSWER AND WHY IT IS THE CORRECT ANSWER ( STEP BY STEP) WILL MARK THE BRA

INLIEST TO WHOEVER EXPLAINS THE BEST FOR THEIR ANSWER!!!!!

1 answer:

skad [1K]3 years ago

4 0

First answer is 16 squared units the second is 6 squared multiplied the last one is 12 squared units.

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Find the quadratic function y=f(x) whose graph has a vertex (−3,4) and passes through the point (−7,0). Write the function

olganol [36]

Answer:

Step-by-step explanation:

This is a parabola since a quadratic is a parabola. The standard form for a parabola is y = ax² + bx + c

but before we do that, we will use the vertex form, since it will make our work easier at the beginning.

First and foremost, when we plot the vertex and the given point, the vertex is higher up than is the point; that means that this parabola opens upside down, and its vertex form will be

y=-|a|(x - h)² + k

The absolute value is out in front of the a, so we know that the value of a is positive, but the quadratic itself is negative (upside down) and we will find that math takes care of that negative that needs to be out front. So we need to solve for a by filling in the x, y, h, and k values from the point and the vertex: x = -7, y = 0, h = -3, k = 4

0 = a(-7 - (-3))² + 4 and

0 = a(-7 + 3)² + 4 and

0 = a(-4)² + 4 and

0 = a(16) + 4 and

0 = 16a + 4 and

-4 = 16a so

$a=-\frac{1}{4}$

Now that we know a, we can plug it back into the vertex form and then put it into standard form from there.

$y=-\frac{1}{4}(x+3)^2+4$

Now we will FOIL out what's inside the parenthesis to get

$y=-\frac{1}{4}(x^2+6x+9)+4$

Simplify by distributing the -1/4 into the parenthesis:

$y=-\frac{1}{4}x^2-\frac{3}{2}x-\frac{9}{4}+4$

Combine like terms to get

$y=-\frac{1}{4}x^2-\frac{3}{2}x+\frac{7}{4}$

And there you go!

5 0

3 years ago

Is the world hiding submarines in the ocean?

snow_lady [41]

Answer:

possibly china, but not confirmed.

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

Which is the completely factored form of 4x2 28x 49? (x 7)(4x 7) 4(x 7)(x 7) (2x 7)(2x 7) 2(x 7)(x 7)

natima [27]

The completely factored form of 4x^2 + 28x + 49 is given by: Option C: (2x+7)(2x+7)

<h3>How to find the factors of a quadratic expression?</h3>

If the given quadratic expression is of the form ax^2 + bx + c, then its factored form is obtained by two numbers alpha( α ) and beta( β) such that:

$b = \alpha + \beta \\ ac =\alpha \times \beta$

Then writing b in terms of alpha and beta would help us getting common factors out.

Sometimes, it is not possible to find factors easily, so using the quadratic equation formula can help out without any trial and error.

For this case, the given quadratic expression is:

$4x^2 + 28x + 49$

So we've to find two numbers such that:

Their sum = b = 28

Their product = $ac = 4\times 49 = 196$

We can see that 196 is square of 14, and that 14 added twice forms 28, thus:

14 + 14 = 28

14×14 = 196

Writing b = 28 as sum of 14 twice, we get:

$4x^2 + 28x + 49 = 4x^2 + 14x + 14x +49 \\4x^2 + 28x + 49 = 2x(2x+7) + 7(2x + 7)\\4x^2 + 28x + 49 = (2x+7)(2x+7)$

Thus, the completely factored form of 4x^2 + 28x + 49 is given by: Option C: (2x+7)(2x+7)

Learn more about factorization of quadratic expression here:

brainly.com/question/26675692

8 0

2 years ago

How do you Solve d+7/−3=4?

vova2212 [387]

Answer:

One solution was found :

d = 19/3 = 6.333

Step-by-step explanation:

Step by step solution :

Step 1 :

7

Simplify ——

-3

Equation at the end of step 1 :

7

(d + ——) - 4 = 0

-3

Step 2 :

Rewriting the whole as an Equivalent Fraction :

2.1 Adding a fraction to a whole

Rewrite the whole as a fraction using -3 as the denominator :

d d • -3

d = — = ——————

1 -3

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

2.2 Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

d • 3 + 7 • -1 3d - 7

—————————————— = ——————

3 3

Equation at the end of step 2 :

(3d - 7)

———————— - 4 = 0

3

Step 3 :

Rewriting the whole as an Equivalent Fraction :

3.1 Subtracting a whole from a fraction

Rewrite the whole as a fraction using 3 as the denominator :

4 4 • 3

4 = — = —————

1 3

Adding fractions that have a common denominator :

3.2 Adding up the two equivalent fractions

(3d-7) - (4 • 3) 3d - 19

———————————————— = ———————

3 3

Equation at the end of step 3 :

3d - 19

——————— = 0

3

Step 4 :

When a fraction equals zero :

4.1 When a fraction equals zero ...

Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.

Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.

Here's how:

3d-19

————— • 3 = 0 • 3

3

Now, on the left hand side, the 3 cancels out the denominator, while, on the right hand side, zero times anything is still zero.

The equation now takes the shape :

3d-19 = 0

Solving a Single Variable Equation :

4.2 Solve : 3d-19 = 0

Add 19 to both sides of the equation :

3d = 19

Divide both sides of the equation by 3:

d = 19/3 = 6.333

One solution was found :

d = 19/3 = 6.333

6 0

3 years ago

The question is asking to determine which statement is true?

Advocard [28]

Answer:

the answer is true which

7 0

2 years ago