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3 years ago

Just answer question, No need to explain. THANKS

Mathematics

2 answers:

sergeinik [125]3 years ago

8 0

The answer is c.

The -3 means it’s shifted to the right 3 units
The 4 means it shifted up 4 units

Olin [163]3 years ago

3 0

For this case we have the following function:
f (x) = x ^ 2
We have the following information:
Horizontal translations
Suppose that h> 0
To graph y = f (x-h), move the graph of h units to the right
f (x) = (x-3) ^ 2
Vertical translations
Suppose that k> 0
To graph y = f (x) + k, move the graph of k units up.
f (x) = (x-3) ^ 2 + 4
Answer:
f (x) = (x-3) ^ 2 + 4
option C

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Monica paid sales tax of $2.80 when she bought a new bike helmet. If the sales tax rate was 7%, how much did the store charge fo

larisa [96]

7 % of cost price is 2.80 , What about 1%?

7 = 2.80

1 = x (where x is the price value of 1% in dollars)

We simplify the above equation, so:

7 × x = 2.8 × 1 → 7x = 2.8 → x = 2.8 / 7 → x = 0.4 dollars

We know that 100% represents the whole price,

so if 1% is 0.4 dollars, then 100% will be 0.4 × 100 = 40 dollars

Therefore the store charged $40 dollars for the helmet before tax

5 0

2 years ago

Plss help me TT

Marina CMI [18]

a. There are 0 or 2 real positive roots for the equation and

b. There are 0 or 2 real negative roots for the equation.

<h3>What is the Descartes'rule of sign?</h3>

Descartes' rule of sign states that

The number of real positive zero of a polynomial f(x) is the number of sign changes of the coefficients of f(x) or an even number less than the number of sign changes of the coefficients of f(x)
The number of real negative zero of a polynomial f(x) is the number of sign changes of the coefficients of f(-x) or an even number less than the number of sign changes of the coefficients of f(-x)

<h3>How to find the number of possible positive and negative roots are there for the equation?</h3>

Given the equation 0 = −8x¹⁰ − 2x⁷ + 8x⁴ − 4x² − 1, writing it as a polynomial function, we have f(x) = −8x¹⁰ − 2x⁷ + 8x⁴ − 4x² − 1

<h3>a. The number of positive roots</h3>

So, to find the number of positive roots, we find the number of sign changes of the polynomial f(x).

So, f(x) = −8x¹⁰ − 2x⁷ + 8x⁴ − 4x² − 1

Since f(x) has coefficients -8, -2, + 8, -4, -1, there are two sign changes from -2 to + 8 and from + 8 to -4.

So, there are 2 or 2 - 2 = 0 real positive roots.

So, there are 0 or 2 real positive roots for the equation.

<h3>b. The number of negative roots</h3>

So, to find the number of negative roots, we find the number of sign changes of the polynomial f(-x).

So, f(-x) = −8(-x)¹⁰ − 2(-x)⁷ + 8(-x)⁴ − 4(-x)² − 1

= −8x¹⁰ + 2x⁷ + 8x⁴ − 4x² − 1

Since f(x) has coefficients -8, +2, + 8, -4, -1, there are two sign changes from -8 to + 2 and from + 8 to -4.

So, there are 2 or 2 - 2 = 0 real negative roots.

So, there are 0 or 2 real negative roots for the equation.

So,

There are 0 or 2 real positive roots for the equation and
There are 0 or 2 real negative roots for the equation.

Learn more about Descartes' rule of sign here:

brainly.com/question/28487633

#SPJ1

8 0

1 year ago

What are the factors of 2x + 3x - 54? Select two options

tiny-mole [99]

Answer:

The answer: The factors are (2x-9) and (x+6).

The Problem:

Factor $2x^2+3x-54$

Step-by-step explanation:

So I'm going to do trial factors using the choices to aid me.

Factored form for this problem if it exist will be in the form:

$(mx+n)(kx+p)$ .

In general this is what it would look like if we factored any quadratic in terms of $x$ (given the quadratic is not prime but technically you could factor even over the complex numbers).

Let's look at:

$(mx+n)(kx+p)$

We want to choose $k \text{ and } m$ such that when you multiply them you get 2. Well those would have to be 2 and 1.

$(2x+n)(x+p)$

we want to choose $n \text{ and } p$ such that when you multiply them you get -54. Based on the choices we want to get with -9 and 6, or 9 and -6. We don't know the order we want to choose it in either.

For example which of these would work:

$(2x-6)(x+9)$

$(2x+6)(x-9)$

$(2x-9)(x+6)$

$(2x+9)(x-6)$

We are going to consider only the outer and inner of FOIL since we already know the first times the first is $2x^2$ and the last times the last is $-54$ .

Let's test the first one:

$(2x-6)(x+9)$

Outer: 2x(9)=18x

Inner: -6(x)=-6x

------------------------ADD!

18x-6x=12x

The first choice did not give us the middle term 3x.

Trying the second one would give us the opposite since they are in the same form as previous just the + and - are switched.

Let's look at the third one:

$(2x-9)(x+6)$

Outer: 2x(6)=12x

Inner: -9(x)=-9x

--------------------------ADD!

12x-9x=3x

This is the winner.

The answer: The factors are (2x-9) and (x+6).

7 0

2 years ago

Read 2 more answers

Jacob traveled 171 miles in 3.8 hours. He wants to know how many miles he traveled in one hour, so he set up this problem:

gregori [183]

Answer:

so first we have to divide each side by 38

4.5miles=0.1

45miles=1 hour

Hope This Helps!!!

7 0

1 year ago

What are the steps of adding and subtracting a fraction?

Darina [25.2K]

Step-by-step explanation: To add and subtract fractions with the same denominator, or bottom number, place the 2 fractions side by side. Add or subtract the numerators, or the top numbers, and write the result in a new fraction on the top. The bottom number of the answer will be the same as the denominator of the original fractions.

6 0

2 years ago