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3 years ago

Please can you answer it because I need the answer

Mathematics

1 answer:

andre [41]3 years ago

7 0

Answer:

For x^2 + 5x - 14 = 0

x1= -7, x2 = 2

For x^2 + 5x + 6 = 0

x1 = -3, x2 = -2

Step-by-step explanation:

Pls see attached....

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Consider the given function and the given interval. f(x) = (x − 4)2, [3, 6]

s2008m [1.1K]

Answer:

f average = 1

smaller value c = 3

larger value c = 5

Step-by-step explanation:

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3 years ago

Need Help pleasee.. I have attached the question below.. For the quick and correct answer I will give 10 points and brainliest

kirill [66]

A equals 3
Equation is g(x)=3f(x)

What i did is notice the y intercept is at 3 so I plugged in x=0 into the parent equation and got f(0)=1

So to get this equation to the y=3 intercept which is the g function, you have to multiply it by 3

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2 years ago

One third 1 3 as a decimal rounded to the nearest hundredth.

densk [106]

4.33333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333repeating

7 0

3 years ago

F divides HJ in the ratio 3:1. If H = (-11,7) and J = (5,3), what are the coordinates of F?

Hatshy [7]

Answer:

The coordinates of HF are (1, 4)

Step-by-step explanation:

The parameters of the line are;

The coordinate of the end points are H = (-11, 7), and J = (5, 3)

The ratio by which the point F divides the line = 3:1

The segments in the line are HF, and FJ

Therefore;

The fraction of the length of HJ that is represented by HF = 3/(3 + 1) × HJ = 3/4 × HJ

HF = 3/4 × HJ

Which gives the coordinates of the point F as follows;

Coordinate of F = (-11 +(5 - (-11))×3/4, 7 + (3 - 7)×3/4) = (1, 4)

The coordinates of F are (1, 4)

We check the length of HF, from the equation for the length to of a line to get;

$l = \sqrt{\left (y_{2}-y_{1} \right )^{2}+\left (x_{2}-x_{1} \right )^{2}}$

$l_{HF} = \sqrt{\left (4-7 \right )^{2}+\left (1-(-11) \right )^{2}} = \sqrt{\left (-3 \right )^{2}+\left (12 \right )^{2}} = 3\cdot \sqrt{17}$

Similarly, we check the length of HJ, to get;

$l_{HF} = \sqrt{\left (3-7 \right )^{2}+\left (5-(-11) \right )^{2}} = \sqrt{\left (-4 \right )^{2}+\left (16 \right )^{2}} = 4\cdot \sqrt{17}$

The length of HF = 3·√(17)

The length of HJ = 4·√(17)

Therefore, from HF = 3/4× HJ, we have;

HF = 3/4 × 4·√(17) = 3·√(17)

Therefore, the coordinates of HF are (1, 4)

7 0

3 years ago

Can someone help me understand how to do this quadratic math problem

Juliette [100K]

Answer:

put all of the expressions into the same form, such as standard form

Step-by-step explanation:

When you're trying to determine whether one expression is equivalent to another, you need to put both of the expressions into the same form. This will generally require some algebraic manipulation using the rules of equality.

Here, you're given a quadratic in standard form. From what we can see of the one partial answer, some of the choices are in vertex form. To determine if they are equivalent, you can do either of two things ...

Put the given expression into vertex form
Expand the answer choice to put it in standard form

___

For multiple-choice questions of this type, it is often sufficient to look at one or two terms of the different equations. That is usually all it takes to separate a good answer from a bad one.

You can start with the x^2 term. Any answer choice that has an x^2 coefficient different from 1 will be rejected.

Next, you can look at the sign of the x term. Any answer choice that doesn't have a positive x term will be rejected.

Finally, you can look a the constant term. Any answer choice that doesn't have a constant term of +4 will be rejected.

___

As it happens, the given equation is a perfect square, so one equivalent is ...

y = (x +2)^2

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When working with quadratics, it can be helpful to memorize a couple of the ways they can be written:

(x +b)^2 = (x^2 +2bx + b^2)

This is a special case of ...

(x +a)(x +b) = x^2 +(a+b)x + ab

3 0

3 years ago