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stellarik [79]
3 years ago
7

I'm stuck on graphing this quadratic equation:

%2B%204x%20%2B%203" id="TexFormula1" title="y \leqslant {x}^{2} + 4x + 3" alt="y \leqslant {x}^{2} + 4x + 3" align="absmiddle" class="latex-formula">

Mathematics
1 answer:
rewona [7]3 years ago
7 0
Your welcome I hope it is right

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The sum of three consecutive integers is 21 larger than twice the smallest integer. find the integers.
Darya [45]
Let the integers be x-1, x, x+1.

Given,

x -1 + x + x + 1 = 21 + 2(x - 1)

3x = 21 + 2x - 2

x = 19

Hence, the three integers are 18, 19 and 20.
7 0
3 years ago
Tina rolls two fair number cubes numbered from 1 to 6. She first defines the sample space as shown below:
alukav5142 [94]
There are 36 combinations, 5 combinations equal 8


(2,6) (3,5) (4,4) (5,3) (6,2) all equal 8

The chance of rolling 8 is 5/36 (combinations that equal 8/total combinations)
5/36=.13888...
5 0
3 years ago
You are helping to plan an awards banquet for your school, and you need to rent tables to seat 180 people. Tables come in two si
pshichka [43]

Answer:

An equation modeling the situation  is : 4 m + 6 n  = 180

Step-by-step explanation:

Here,  the total number of guests in the banquet hall = 180

Let us assume number of tables ordered  with capacity of

4 people each  = m

And number of tables ordered  with capacity of 6 people each  = n

So, total number of people in m tables = m x ( Capacity of 1 table)

=  m x (4)  = 4 m

And, total number of people in n tables = n x ( Capacity of 1 table)

=  n x (6)  = 6 n

So, the total capacity of ( m + n) tables  = 4 m + 6 n

Also, the total required capacity  = 180

⇒  4 m + 6 n  = 180

Hence, an equation modeling the situation  is : 4 m + 6 n  = 180

3 0
3 years ago
How to do this question plz ​
Ksivusya [100]

Answer:

86.6 feet (3 s.f.)

Step-by-step explanation:

Please see attached picture.

tan60°= height of tower/ 50

Height of tower

= 50tan60°

= 50√3

= 86.6 ft (3 s.f.)

tanѲ= opp/ adj

6 0
3 years ago
Factor Completely.<br> 12k^2-16k-60
faltersainse [42]

Answer:

4(k - 3)(3k + 5)

Step-by-step explanation:

Given

12k² - 16k - 60 ← factor out 4 from each term

= 4(3k² - 4k - 15) ← factor the quadratic

Consider the factors of the product of the coefficient of the k² term and the constant term which sum to give the coefficient of the k term

product = 3 × - 15 = - 45 , sum = - 4

Factors are - 9 and + 5

Use these factors to split the middle term

3k² - 9k + 5k - 15 → ( factor the first/second and third/fourth terms

= 3k(k - 3) + 5(k - 3) ← factor out (k - 3)

= (k - 3)(3k + 5)

Hence

12k² - 16k - 60 = 4(k - 3)(3k + 5) ← in factored form

8 0
3 years ago
Read 2 more answers
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