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bogdanovich [222]
3 years ago
7

Find out for what value of the variable:

Mathematics
1 answer:
Burka [1]3 years ago
5 0

Answer:

a=-1,\ a=-5

x=-2+i,\ -2-i

Step-by-step explanation:

<u>Equations</u>

We have two cases where some variable is required to be found such that some condition is met. The first case is about finding the value of a that complies:

a^2+7a+6=a+1

Rearranging

a^2+6a+5=0

Factoring:

(a+1)(a+5)=0

There are two solutions:

a=-1,\ a=-5

The second case requires us to find the value of x such that

3x^2-x+1 =2x^2+5x-4

Rearranging

x^2+4x+5=0

This second-degree equation has no real roots. We'll offer the imaginary (complex) solutions:

x=-2+i,\ -2-i

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Please help with #5 and #8! I don’t really know all of the info to find the volume! (Composite Figures)
bagirrra123 [75]
It looks like you're doing good with breaking-down the composite into digestible pieces. So, don't stress too much!

Keep in mind that the area for a 3D shape is Bh, where "B" is the area of a face & "h" is the height.

#5
Shape A is 3X4X9.
First, calculate the area of a face:

9X4= 36

Multiply by height:

36X3= 108

The process is the same with shape B.
3X4X8
Calculate area of face:

8X4= 32

Multiply by height:

32X3= 96

Now you add both areas:

108+96= 204 cubic feet

I think you're doing pretty good, just don't over think things too much. Try #8 with the similar process seen here. Just comment if you get stuck.

Hope this helps!
6 0
3 years ago
The double number line shows that 555 pounds of avocados cost \$9$9dollar sign, 9.
Mice21 [21]

Answer:  

1 pound of avocado costs $1.8.

Step-by-step explanation:

This problem is just a simple division problem. We jest need to divide the given values to get the answer. For our problem, to know the price of 1 pound of avocado, we need to divide the $9 by 5 since the problem stated that the price of 5 pounds of avocados is $9.

Given:

5 pounds avocados = $9

Required:

cost of 1 pound of avocado

Solution:

$9 / 5 pounds = $1.8/pound

1 pound avocado = $1.8

Notice from the first line of solution, the unit became $ per pound. This means that we did the right operation since we are looking for the price per pound.

To check if we computed for the correct value, we should multiply $1.8 to 5. If the answer from doing this is $9, then our answer is correct.

Checking:

$1.8 * 5 = $9

Therefore, the cost of 1 pound of avocado is $1.8

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
A function is shown: f(x) = 36x² - 1.
givi [52]

Based on the given function, the equivalent function that best shows the x-intercepts on the graph is f(x) = (6x - 1)(6x + 1)

<h3>What are equivalent functions?</h3>

Equivalent functions are different functions that have equal values when evaluated and compared

<h3>How to determin the equivalent function that best shows the x-intercepts on the graph?</h3>

The function is given as:

f(x) = 36x^2 - 1

Express 1 as 1^2

f(x) = 36x^2 - 1^2

Express 36x^2 as (6x)^2

f(x) = (6x)^2 - 1^2

Apply the difference of two squares.

This is represented as:

(a + b)(a - b) = a^2 - b^2

So, we have the following equation

f(x) = (6x - 1)(6x + 1)

Based on the given function, the equivalent function that best shows the x-intercepts on the graph is f(x) = (6x - 1)(6x + 1)

Read more about equivalent function at:

brainly.com/question/2972832

#SPJ1

8 0
2 years ago
What is the size of the picture reducing it by 1/25 original size 75 by 50
Svetradugi [14.3K]
50/1 * 1/25 = 50/25 = 2

75/1 * 1/25 = 75/25 = 3

The reduced painting is 2cm x 3cm
5 0
3 years ago
How many hours and minutes from noon to a quarter to four in the afternoon?
Alex_Xolod [135]
It would be 3:45 because 12:00 + 3:00= 3:00+0:45=3:45 and if u were to add another quarter (15mins) itd be 4:00
3 0
3 years ago
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