I will award brainliest *MUST BE CORRECT* and make a new question worth 100 points

They intersect at the point (p, q). Which is greater, c or d? Explain how you know.

Natasha2012 [34]

Answer:

d is greater than c, since at $x = 0, g(x) > f(x)$

Step-by-step explanation:

We are given two exponential functions, f and g.

Since f has the higher base(3 instead of 2 in g), it increases faster, so initially, g is greater than f, and after point (p,q), f is greater than g.

The values of c and d are found when $x = 0$ . At this point, we have that g is greater than f, so d is greater than c.

4 0

3 years ago

Given a function <img src="https://tex.z-dn.net/?f=f%28x%29%3D3x%5E4-5x%5E2%2B2x-3" id="TexFormula1" title="f(x)=3x^4-5x^2+2x-3"

Levart [38]

Answer:

$\huge\boxed{f(-1) = -7}$

Step-by-step explanation:

In order to solve for this function, we need to substitute in our value of x inside to find f(x). Since we are trying to evalue f(-1), we will substitute -1 in as x to our equation.

$f(-1) = 3(-1)^4 - 5(-1)^2 + 2(-1) - 3$

Now we can solve for the function by multiplying/subtracting/adding our known values.

Starting with the first term to the last term:

$3(-1)^4 = 3$

WAIT! How is this possible? $-1^4 = -1$ (according to my calculator), and $3 \cdot -1 = -3$ , not 3!

It's important to note that taking a power of a negative number and multiplying a negative number are two different things. Let's use $-2^2$ as an example.

What your calculator did was follow BEMDAS since it wasn't explicitly told not to.

BEMDAS:

- Brackets

- Exponents

- Multiplication/Division

- Addition/Subtraction

Examining the equation, your calculator used this rule properly. Note that exponents come over multiplication.

So rather than being "-2 squared" - it's "the negative of of 2 squared."

Tying this back into our problem, the squared method would only be true if it looks like $-1^4$ . However, since we're substituting in -1, it looks like $(-1)^4$ , so the expression reads out as "-1 to the fourth."

MULTIPLYING -1 by itself 4 times results in $-1\cdot-1\cdot-1\cdot-1=1$ .

Applying this logic to our original term, $3(-1)^4$ :

$3(-1\cdot-1\cdot-1\cdot-1)$
$3(1)$
$3$

Therefore, our first term is 3.

Let's move on to our second and third terms.

Second term: $-5x^2$

$-5(-1)^2$

Applying the same logic from our first term:

$-5(-1 \cdot -1)$
$-5(1)$
$-5$

Third term: $2x$

$2(-1) = -2$

-3 is just -3, no influence of x.

Combining our terms, we have $3-5-2-3$ .

This comes out to be -7, hence, the value of $f(-1)$ for our function $f(x)=3x^4-5x^2+2x-3$ is -7.

Hope this helped!

4 0

4 years ago

Read 2 more answers

Simplify the numerical expression: -4.2 + 8.1 x ( -1.9)

SIZIF [17.4K]

-19.59 is your answer because u do PEMDAS and that would be 8.1*(-1.9) which gives you -15.39 Then you do -4.2+-15.39 and you would get -19.59

3 0

3 years ago

About how much more is 22 to the 7 power and 22 to the 4 power

Bumek [7]

22 to the 7 power is 2494357888
22 to the 4 power is 234256

Just subtract those two numbers and you'll get that it's 2494123632

4 0

3 years ago

Can someone help with this question? thanks

Licemer1 [7]

Answer:

Regular: C & E

Irregular: A & B

Not a polygon: F & D

Step-by-step explanation:

A polygon is a close sided shape with no curves. Since F and D have curves they are not polygons. Regular polygons have side lengths which are all equal to each other. C and E are regular polygons. Irregular polygons are polygons whose sides have different values from each other. A and B are irregular.

7 0

3 years ago