What is the difference between solving systems of equations using substitution, elimination, and graphing?

1 answer:

7 0

Substitution is plugging one equation into the other.
Elimination is where you eliminate one equation.
Graphing is when you graph the equations and see where they overlap.

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Jen solved this math sentence: 9 X 0.989 = 89.01. How can you use estimation to show that

vampirchik [111]

Answer:

She put decimal in the wrong place.

Step-by-step explanation:

Consider the provided sentence.

9 × 0.989 = 89.01

Estimate the number 0.989 to nearest natural number.

The estimation of the number 0.989 to the nearest natural number is 1.

Now multiply 9 with 1.

9 × 1 = 9

Hence, the product should be less than 9.

Since the product of 9 and 0.989 is 89.01 which is greater than 9.

Thus, we can concluded that Jen's answer is wrong.

She put decimal in the wrong place, the required product must be 8.901

Here, you can observe that the number 8.901 is less than 9 and estimation of the number to the nearest natural number is 9.

5 0

4 years ago

The monthly cost (in dollars) of water use is a linear function of the amount of water used (in hundreds of cubic feet, HCF). Th

ziro4ka [17]

Answer:

67.49

Step-by-step explanation:

Let the number of HCF be x.

Let the cost be y.

You are given 2 points of a line: (15, 32.84) and (43, 79.04).

Now we find the equation of the line that passes through those points.

y - y1 = m(x - x1)

y - 32.84 = [(79.04 - 32.84)/(43 - 15)](x - 15)

y - 32.84 = (46.2/28)(x - 15)

y - 32.84 = 1.65(x - 15)

y = 1.65x - 24.75 + 32.84

y = 1.65x + 8.09

Now we let x = 36 and solve for y.

y = 1.65(36) + 8.09

y = 67.49

3 0

4 years ago

Find the exact value of tan A in simplest radical form.<br> PLEASE HELP

Tju [1.3M]

Answer:

$\tan(A) = \frac{opp}{adj} \\ \tan(A) = \frac{ \sqrt{72} }{3} \\ \tan(A) = \frac{ \sqrt{36 \times 2} }{3} \\ \tan(A) = \frac{6 \sqrt{2} }{3} \\ \tan(A) = 2 \sqrt{2}$