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jenyasd209 [6]
3 years ago
9

What is the value of x in the equation 3x – 4y = 65, when y = 4? the answer is x=27

Mathematics
1 answer:
Olenka [21]3 years ago
7 0
What is the value of x in the equation 3x-4y=65 when y=4?

Simple...plug n chug..

3x-4(4)=65

3x-16=65

Now, isolate the variable, x....

3x-16=65
    +16 +16

3x=81

Now, divide,

\frac{3x}{3} = \frac{81}{3}

x=27.

Thus, your answer.
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Please help me with these
Alex Ar [27]
When we approach limits, we are finding values that are infinitesimally approaching this x-value. Essentially, we consider the approximate location that this root or limit appears. This is essential when it comes to taking Calculus, and finding the limit or rate of change of a function.

When we are attempting limits questions, there are several tests we attempt first.

1. Evaluate the limit by substituting the value of the x-value as it approaches the value (direct evaluation of a limit)
2. Rearrangement of the function, such that we can evaluate the limit.
3. (TRIGONOMETRIC PROPERTIES)
\lim_{x \to 0} (\frac{sinx}{x}) = 1
\lim_{x \to 0} (\frac{tanx}{x}) = 1
4. Using L'Hopital's Rule for indeterminate limits, such as 0/0, -infinity/infinity, or infinity/infinity.

For example:

1) \lim_{x \to 0}\frac{\sqrt{x} - 5}{x - 25}

We can do this using the first and second method.
<em>Method 1: Direct evaluation:</em>

Substitute x = 0 to the function.
\frac{\sqrt{0} - 5}{0 - 25}
= \frac{-5}{-25}
= \frac{1}{5}

<em>Method 2: Rearranging the function
</em>

We can see that x - 25 can be rewritten as: (√x - 5)(√x + 5)
By rewriting it in this form, the top will cancel with the bottom easily, and our limit comes out the same.

\lim_{x \to 0}\frac{(\sqrt{x} - 5)}{(\sqrt{x} - 5)(\sqrt{x} + 5)}
= \lim_{x \to 0}\frac{1}{(\sqrt{x} + 5)}}
= \frac{1}{5}

Every example works exactly the same way, and by remembering these criteria, every limit question should come out pretty naturally.
8 0
3 years ago
Michelle can run 5.44 miles in 68 minutes. What is Michelle's average speed, in miles per minute?
uranmaximum [27]
5.44 miles/68 minutes=
.08 miles/minute
7 0
3 years ago
Read 2 more answers
Write an equation for the nth term of the arithmetic sequence −15, −33, −51, −69, .... An equation for the nth term of the
stira [4]

Given:

The arithmetic sequence is −15, −33, −51, −69.

To find:

The nth term of the arithmetic sequence.

Solution:

We have,

−15, −33, −51, −69

Here,

First term: a = -15

Common difference is

d = -33-(-15)

d = -33+15

d = -18

Now, nth term  of an arithmetic sequence is

a_n=a+(n-1)d

Substitute a=-15 and d=-18.

a_n=-15+(n-1)(-18)

a_n=-15-18n+18

a_n=-18n+3

Therefore, the nth term of the given arithmetic sequence is a_n=-18n+3.

4 0
3 years ago
Identify the property that justifies the following statement:<br> If &lt;1≈ &lt;2, then &lt;2≈&lt;1.
Colt1911 [192]

Symmetric property of congruence.

Solution:

Given statement:

If ∠1 ≅ ∠2, then ∠2 ≅ ∠1.

<em>To identify the property used in the above statement:</em>

Let us first know some property of congruence:

Reflexive property:

The geometric figure is congruent to itself.

That is \overline{A B} \cong \overline{A B} \text { or } \angle B \cong \angle B.

Symmetric property of congruence:

If the geometric figure A is congruent to figure B, then figure B is also congruent to figure A.

That is \overline{A B} \cong \overline{C D}, \text { then } \overline{C D} \cong \overline{A B}.

Transitive property of congruence:

If figure A is congruent to figure B and figure B is congruent to figure C, then figure A is congruent to figure C.

That is \angle A\cong \angle B, \ \angle B\cong \angle C \  \text{then} \ \angle A\cong \angle C

From the above properties, it is clear that,

If ∠1 ≅ ∠2 then ∠2 ≅ ∠1 is symmetric property of congruence.

7 0
3 years ago
Which combination of integers can be used to generate the Pythagorean triple (7, 24, 25)
amm1812

Answer:

3

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
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