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3 years ago

What is the answer to: Factorise x^2 + 7x +12?

Mathematics

2 answers:

GuDViN [60]3 years ago

6 0

Answer:

(x + 3)(x + 4).

Step-by-step explanation:

Consider x^2 + 7x + 12:

12 = 3 * 4 and 7 = 3 + 4 so the factors are

(x + 3)(x + 4).

Elina [12.6K]3 years ago

5 0

Answer:

(x + 4) ( x + 3)

Step-by-step explanation:

x² + 7x +12 = (x + 4) ( x + 3)

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A school district has two high schools. The district could only afford to hire 13 guidance counselors. Determine how many counse

Umnica [9.8K]

Answer:

Lowell: 4 counselors

Fairview: 9 counselors

2 new counselors

Step-by-step explanation:

How many counselors should be assigned to each school using Hamilton's method?

Number of students

Lowell: 3584

Fairview: 6816

Total number of students: 10400

Divisor D = (Total number of students)/(number of counselors)= 10400/13 = 800

Temporal assignment

3584/800 = 4 + 0.48 ==> 4 counselors for Lowell

6816/800 = 8 + 0.52 ==> 8 counselors for Fairview

There is one counselor left. According to Hamilton's method she should be assigned to the school with the largest remainder, that is Fairview.

Final assignment

Lowell: 4 counselors

Fairview: 9 counselors

The next year, a new school is opened, with 1824 students. Using the divisor from above, determine how many additional counselors should be hired for the new school

1824/800 = 2 + 0.28

Two new counselors should be hired.

6 0

3 years ago

How does the criteria for triangle congruence (ASA, SAS, and SSS) follow from the definition of congruence in terms of rigid mot

Contact [7]

Congruence triangles have the same size and shape
Rigid motion keeps the same distance between the points that are transformed
A rigid motion can be sliding,rotating, or flipping
SAS-2 corresponding sides+2 corresponding angles that are congruent.
hopefully this helps :3

3 0

3 years ago

Read 2 more answers

2x - 2y = 6

skad [1K]

By subtraction we get
5x=15
x=3
9+2y=9
y=0
So the answer is B

8 0

3 years ago

The circumference of this tabletop is 24π inches, Which of the following best describes how to determine the area of the tableto

omeli [17]

Answer:

D Find half of 24 to calculate the radius. Then square the radius and multiply the result by π.

Step-by-step explanation:

Given that circumference of circle is: $24 \pi$

The formula for circumference of circle is:

$C = 2\pi r$

Comparing both formulas, we get

$24\pi = 2\pi r\\24 = 2r\\r = \frac{24}{2}\\r = 12$

The radius is obtained by dividing 24 by 2.

We also know that the area of circle is:

$A = \pi r^2$

The radius is being squared and then multiplied by pi to get the area.

Hence,

The correct answer is:

D Find half of 24 to calculate the radius. Then square the radius and multiply the result by π.

3 0

3 years ago

What is the solution to the equation 4x - 6 = 10x - 3?

beks73 [17]

$\huge{\boxed{\tt{Solution:-}}}$

$\sf {4x-6=10x-3}$

What is the solution of the equation:

$\sf{(a.)\:x=\dfrac {-1}{2}}$

$\sf{(b.)\:x=-2}$

$\sf{(c.)\:x=\dfrac {1}{2}}$

$\sf{(d.)\:x=2}$

Now, we solving it :

$\sf{: \implies {4x - 6 = 10x - 3}} \\ \\ \sf{: \implies { - 6 + 3= 10x - 4x}} \\ \\ \sf{: \implies { - 3= 6x}} \\ \\ \sf{: \implies { \dfrac{- 3}{6} = x}} \\ \\ \sf{: \implies {\dfrac{- 1}{2} = x}} \\ \\ : \implies {\boxed{ \sf{x =\dfrac{- 1}{2}}}}$

$\bf{\therefore{Correct \:solution\:is\:(a.)\:x=\dfrac {-1}{2}.}}$

$\rule {307}{2}$

5 0

3 years ago