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MariettaO [177]
3 years ago
7

Interce Determine the intercepts of the line. Y=-9x-14

Mathematics
1 answer:
Sergeeva-Olga [200]3 years ago
4 0

Answer:

y= -14        x= -1.556

Step-by-step explanation:

graphing calculator is good  

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Roberto’s cat weighed 6 3/4 pounds last year.Then the cat gained 1 1/2 pounds.How much does the cat weigh now?
hammer [34]
Add the gain and the last weight together
new weight = 6 3/4 + 1 1/2
or we can write it as
new weight = 6 + 3/4 + 1 + 1/2

Separate whole numbers and fraction
new weight = 6 + 3/4 + 1 + 1/2
new weight = 6 + 1 + 3/4 + 1/2

Simplify the whole numbers
new weight = 6 + 1 + 3/4 + 1/2
new weight = 7 + 3/4 + 1/2

Equalize the denominators of the fraction
new weight = 7 + 3/4 + 1/2
new weight = 7 + 3/4 + 2/4
new weight = 7 + 5/4

Because 5/4 is improper fraction, change it to mixed fraction
new weight = 7 + 5/4
new weight = 7 + 1 1/4
new weight = 7 + 1 + 1/4
new weight = 8 + 1/4
new weight = 8 1/4

The cat weights 8 1/4 pounds now
4 0
2 years ago
Determine the distance between the following two points.
Morgarella [4.7K]

Answer:

The distance is 5

Step-by-step explanation:

You can use the distance formula or Pythagorean theorem for this

6 0
3 years ago
(−5)3x7(yz)4 / (3)2x2y8z2
g100num [7]

Answer:

\dfrac{(-5)3x^7(yz)^4}{(3)2x^2y^8z^2}=\dfrac{-5x^5z^2}{2y^4}

Step-by-step explanation:

Given:

The expression to simplify is given as:

\frac{(-5)3x^7(yz)^4}{(3)2x^2y^8z^2}

In order to simplify this, we have to use the law of indices.

1. (ab)^m=a^mb^m

So, (yz)^4=y^4z^4

Substitute this value in the above expression. This gives,

=\dfrac{(-5)3x^7y^4z^4}{(3)2x^2y^8z^2}\\\\\\=\dfrac{-15x^7y^4z^4}{6x^2y^8z^2}......(-5\times 3=15\ and\ 3\times 2=6)

Now, we use another law of indices.

2. \frac{a^m}{a^n}=a^{m-n}

So,  \frac{x^7}{x^2}=x^{7-2}=x^5,\frac{y^4}{y^8}=y^{4-8}=y^{-4}, \frac{z^4}{z^2}=z^{4-2}=z^2

Substitute these values in the above expression. This gives,

=\frac{-15}{6}\times x^5\times y^{-4}\times z^2\\\\=\frac{-5x^5y^{-4}z^2}{2}

Finally, we further simplify it using the law a^{-m}=\frac{1}{a^m}

So, y^{-4}=\frac{1}{y^4}

Therefore, the given expression is simplified as:

\dfrac{(-5)3x^7(yz)^4}{(3)2x^2y^8z^2}=\dfrac{-5x^5z^2}{2y^4}

5 0
3 years ago
? points<br>Simplify completely :<br>5x - 20<br>9x - 36​
pantera1 [17]

Answer:

5/9

Step-by-step explanation:

4 0
2 years ago
476 students went on a trip to the zoo. 8 buses were filled with an equal number of students and 4 extra students traveled in a
sveticcg [70]
It filled 59 buses and a half bus
6 0
2 years ago
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