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makvit [3.9K]
3 years ago
14

‼️ help with all these questions 20pts + brainliest ‼️

Mathematics
1 answer:
eimsori [14]3 years ago
5 0

Answer:

1) Slope-intercept form

2) 9200

3) 2 months

4) (0,200)

Step-by-step explanation:

A shelter had 200 animals in foster homes at the beginning of spring and the number of animals in foster homes at the end of the summer could be represented by  

y=3000x+200 ............ (1)

Where x is the number of months and y is the number of animals.

1) The equation (1) is written in the slope-intercept form of a straight line equation.

2) After 3 months means x = 3 and the number of animals in the foster home after 3 months will be (3000 ×3 + 200) = 9200 (Answer)

3) Let after x months the animal population will become 6200.

So, 6200 = 3000x + 200

⇒ 3000x = 6000

⇒ x = 2 months (Answer)  

4) If we put x = 0 in equation (1), then we get y = 200.

So, (0,200) is a point on the graph of the line. (Answer)

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Nostrana [21]

Answer:

y = 300

Step-by-step explanation:

The equation of variation in which y varies directly as x is written Mathematically as:

y ∝ x

y = k × x

y = kx

Where k = Proportionality Constant

We find k

a) y = 60 when x = 0.4.

60 = 0.4 × k

k = 60/0.4

k = 150

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Hence,

y = 150 × 2

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7 0
3 years ago
Can you please answer this question
tamaranim1 [39]
3tan^{2} \theta +7sec\theta=3
First I converted the equation terms into sine and cosine.
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Substitution:
\frac{3sin^2\theta}{cos^2\theta} + \frac{7}{cos\theta} =3
Common Denominator Created:
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Multiply each term by the LCD:
3sin^2\theta+7cos\theta=3cos^2\theta
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Distribute and collect all terms on one side:
6cos^2\theta-7cos\theta-3=0
Factor and set each factor equal to 0:
(2cos\theta-3)(3cos\theta+1)=0
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4 0
3 years ago
Zach and Ginny are building model cars. Ginny's car is 2 more than 3 times the length of Zach's car. The sum of the lengths of b
Neporo4naja [7]

Answer:

x+(3x+2)=30

Step-by-step explanation:

Let

x ----> the length of Zach's car

y ----> the length of Ginny's car

we know that

The sum of the lengths of both cars is 30 inches

so

x+y=30 ----> equation A

Ginny's car is 2 more than 3 times the length of Zach's car

so

y=3x+2 ----> equation B

substitute equation B in equation A

x+(3x+2)=30

8 0
3 years ago
What is the volume of a cube shaped box with edges 6 cm. in length
Lesechka [4]
The answer is:  " 216 cm³ " .
_____________________________________________
<u><em>Note</em></u>:
_____________________________________________
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8 0
4 years ago
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Bad White [126]

Answer:

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Step-by-step explanation:

1. Approach

First, convert the dimensions of the room from feet to yards. Remember, the conversion rate between feet and yards is, 3feet=1yard. Next, find the area of the room by multiplying the length by the width.

2. Convert the unit of measurement

The measurement unit is given in feet, one must convert it into yards. The conversion rate between yards and feet is, 3feet=1yard.

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3. Find the area of the room

Now multiply the length by the width to find the area of the room.

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5 0
3 years ago
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