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3 years ago

2x + 5y + 30 = 0 The point ( 5/2 , y) is a solution to the equation shown. What is the value of y? A) -7 B) -5 C) 0 D) 5

Mathematics

1 answer:

Zigmanuir [339]3 years ago

6 0

Answer:

A) -7

Step-by-step explanation:

2x + 5y + 30 = 0

Let x = 5/2

Substitute into the equation

2(5/2) +5y +30 =0

5+5y+30=0

Combine like terms

35 +5y =0

Subtract 35 from each side

35-35 +5y = -35

5y=-35

Divide by 5

5y/5=-35/5

y = -7

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Is 2(x - 6) = -35 equivalent to 2x = -23

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3 years ago

Which equation matches the graph

Alina [70]

Answer:

Step-by-step explanation:

You can see from the graph that everytime x goes up by 1, y goes down by 4, so the slope is -4.

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3 years ago

Suppose that an insect population’s density, in thousands per acre, during year n, can be modeled by the recursive formula: a1 =

vlabodo [156]

Answer:

The population alternates between increasing and decreasing

Step-by-step explanation:

The options of the question are

A) The population density decreases each year.

B) The population density increases each year.

C) The population density remains constant.

D) The population alternates between increasing and decreasing

we have

$a_n=2.9(a_n_-_1)-0.2(a_n_-_1)^2$

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Find the value of $a_2$

For n=2

$a_2=2.9(a_1)-0.2(a_1)^2$

$a_2=2.9(8)-0.2(8)^2=10.4$

Find the value of $a_3$

For n=3

$a_3=2.9(a_2)-0.2(a_2)^2$

$a_3=2.9(10.4)-0.2(10.4)^2=8.528$

For n=4

$a_4=2.9(a_3)-0.2(a_3)^2$

$a_4=2.9(8.528)-0.2(8.528)^2=10.1858$

For n=5

$a_5=2.9(a_4)-0.2(a_4)^2$

$a_5=2.9(10.1858)-0.2(10.1858)^2=8.7887$

therefore

The population alternates between increasing and decreasing

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3 years ago

Read 2 more answers

The desert temperature, H, oscillates daily between 30ºF at 4am and 70ºF at 4pm. Write a possible formula for H in terms of t, m

densk [106]

The find step is to find C which is the vertical shift. This is the average between the maximum and minimum. So its 30+70=100/2= 50. the amplitude (A) take the average of the difference between max. temp. and min. value So 70-30= 40/2= 20, but it becomes -20 because the graph is shifted up 50 degrees and decreases to 30 at 4a.m. Then the period is 2pi/B which is 2pi/24, which equals pi/12. A=-20 B= pi/12 C=50

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3 years ago

Explain the reasoning please

Svet_ta [14]

Step-by-step explanation:

Something to keep in mind is that anything greater than 0 is positive and anything less than 0 is negative

a is to the right of 0 and 1 making it a positive number

b is to the left of 0 making is a negative number

A. a is greater than 1 and b is a negative number

negative number * positive number = negative number

We already know that a is greater than 1 so ab has to be much less than -1 making ab+1 a negative expression

B. Looking at the number line, you can tell that the distance between 1 and a is a bit less than the distance between 0 and 1

This means that a= 1.x not 2

Because of this, a-2 is negative

C. -b

b is a negative number which means that -b would be positive

D. a+b

Looking at the number line, you can tell that the distance between 0 and a is less than the distance between 0 and b

Therefore, a+b is negative

E. a-b

Since b is already negative, the expression would simplify to two positive numbers being added

This means that a-b can't be negative

F. a-1

The number line shows us that a is greater than 1, therefore, a minus 1 would be positive

I hope this helps in some way or another

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3 years ago

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