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3 years ago

What are the intercepts of -4x+6y-5z=60

1 answer:

7 0

Equation is <span>-4x+6y-5z=60
x-intercept is obtained by assuming y=0, z=0, and solving for x.
-4x+0-0=60 => x=-15, hence x-intercept is (-15,0,0)
Similarly for y-intercept, assume x=0,z=0 =>
0+6y-0=60 => y=60/6=10 => y-intercept is (0,10,0)
Again, for the z-intercept, assume x=0,y=0 =>
0+0-5z=60 => z=-12 => z-intercept is (0,0,-12)</span>

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Julio is playing a trivia game. On his first turn, he lost 95 points. On his second turn, he lost 55 points. On his third turn,

erastovalidia [21]

Answer:

Julio's score change by (-230) or we can say Julio lost 230 points after his first three turns.

Step-by-step explanation:

We are given the following in the question:

Points lost after first turn = 95

Points lost after second turn = 55

Points lost after third turn = 80

We have to evaluate the change in Julio's score after his first three turns.

This could be done by adding three negative integers.

Here we use negative integers to represent Julio's point as these points were lost in the turn.

Change in Julio's score =

$=1^{st}\text{ turn} +2^{nd}\text{ turn} +3^{rd}\text{ turn} \\=(-95) + (-55) + (-80) \\=-230$

Thus, Julio's score change by (-230) or we can say Julio lost 230 points after his first three turns.

8 0

4 years ago

4\16 as a decimal is

zimovet [89]

Answer:0.25

Step-by-step explanation: 4/16 can be simplified to 1/4. Think about it like quarters. You need 4 quarters to have one dollar. If you have one quarter it is equal to $0.25.

8 0

3 years ago

An insect population triples every 4 months. If the population started out with 24 insects, how many

SpyIntel [72]

Answer:

After 16 months there will be a population of 1,944 insects.

Step-by-step explanation:

Since an insect population triples every 4 months, if the population started out with 24 insects, to determine how many insects would there be in 16 months, the following calculation must be performed:

X = 24 x 3 ^ (16/4)

X = 24 x 3 ^ 4

X = 1,944

Thus, after 16 months there will be a population of 1,944 insects.

3 0

3 years ago

A baker has 4 3/4 pounds of cookie dough. He uses 1/16 pound of dough for each cookie. How many cookies can he make? Simplify th

S_A_V [24]

This shows that 76 cookies will be made with the total pounds of cookies

<h3>Ratio and proportion</h3>

Fractions are written as a ratio of two integers. Given the following parameters

Total pounds of cookies made = 4 3/4 pounds

Total pounds of cookies made = 19/4 pounds

If he uses 1/16 pound of dough for each cookie, the total amount of cookies made is given;

Number of cookies = 19/4 ÷ 1/16

Number of cookies = 19/4 * 16/1

Number of cookies = 19 * 4

Number of cookies = 76

This shows that 76 cookies will be made with the total pounds of cookies

Learn more on ratio here: brainly.com/question/2328454

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6 0

2 years ago

The line y = 2x +k is a tangent to the curve x² + 2xy + 20 = 0.

emmasim [6.3K]

A is 23.4 and b should be k point at 26

3 0

3 years ago