Ask question

Ask question

All categories

3 years ago

13

If g(x)=3x-11, what is x is g(x)=289

1 answer:

Liula [17]3 years ago

8 0

Answer:x=100

Step-by-step explanation:

Since you know that g(x)=3x-11 all you have to do is substitute that into g(x)=289. So you get 3x-11=289. To get x you have to add 11 on both sides.

3x-11=289

+11 +11

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

3x = 300

Divide 3 on both sides to get x by itself

3x =300

---- -------

3 3

x=100

You might be interested in

B(h+w)=4h(11-j), solve for w

frozen [14]

Answer:

W=4h(11-j)/b-h

Step-by-step explanation:

Eliminate variables on the left side first.

b(h+w) = 4h (11-j) - so, divide b by both sides

(h+w)/b=4h(11-j)/b then, eliminate h by subtracting on both sides.

(h+w)-h=4h(11-j)/b - h (h is eliminated on the left side and now you are left with

W=4h(11-j)/b - h

4 0

3 years ago

How do you simplify expressions with rational exponents

Rainbow [258]

Answer:

Step-by-step explanation:

Simplify expression with rational exponents can look like a huge thing when you first see them with those fractions sitting up there in the exponent but let's remember our properties for dealing with exponents. We can apply those with fractions as well.

Examples

(a) $(p^4)^{\dfrac{3}{2}}$

From above, we have a power to a power, so, we can think of multiplying the exponents.

i.e.

$(p^{^ {\dfrac{4}{1}}})^{\dfrac{3}{2}}$

$(p^{^ {\dfrac{12}{2}}})$

Let's recall that when we are dealing with exponents that are fractions, we can simplify them just like normal fractions.

SO;

$(p^{^ {\dfrac{12}{2}}})$

$= (p^{ 6})$

Let's take a look at another example

$\Bigg (27x^{^\Big{6}} \Bigg) ^{{\dfrac{5}{3}}}$

Here, we apply the $\dfrac{5}{3}$ to both 27 and $x^6$

$= \Bigg (27^{{\dfrac{5}{3}}} \times x^\Big{\dfrac{6}{1}\times {{\dfrac{5}{3}}} }\Bigg)$

$= \Bigg (27^{{\dfrac{5}{3}}} \times x^\Big{\dfrac{2}{1}\times {{\dfrac{5}{1}}} }\Bigg)$

Let us recall that in the rational exponent, the denominator is the root and the numerator is the exponent of such a particular number.

∴

$= \Bigg (\sqrt[3]{27}^{5} \times x^{10} }\Bigg)$

$= \Bigg (3^{5} \times x^{10} }\Bigg)$

$= 249x^{10}$

8 0

3 years ago

X is at most 30 represent as an algebraic inequality

masya89 [10]

Answer:

x ≤ 30

Step-by-step explanation:

'at most' means the same as 'less than or equal to'.

The sign 'for less than or equal' to is ≤.

So it's simply x ≤ 30.

6 0

3 years ago

The length of a table is 8 times longer then it’s width. If the perimeter is 72, how wide is the table?

Andrews [41]

Answer:

4 units wide

Step-by-step explanation:

Let the width of the table be 'w'

Given:

Perimeter of the table is, $P=72$

The perimeter of the rectangular table is given as the sum of all the sides of the rectangle. The sides include two lengths and two widths.

Length of the table is 8 times longer than its width. Therefore,

$Length,L=8w$

Now, perimeter is given as:

$P=2L +2w\\P=2(8w)+2w\\P=16w+2w\\P=18w\\w=\frac{P}{18}$

Now, plug in 72 for 'P' and solve for 'w'. This gives,

$w=\frac{P}{18}\\\\w=\frac{72}{18}\\\\w=4$

So, the table is 4 units wide.

6 0

4 years ago

angle d is a vertical angle to angle f. The measure of angle d is 53 degrees. What is the measure of angle f?

Marizza181 [45]

Answer:

53 degrees

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers