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3 years ago

Mrs Bennett is putting her into groups of 32 all groups have a equal number

Mathematics

1 answer:

Murrr4er [49]3 years ago

8 0

??? I’m guessing 32 groups with 1 each, 16 groups with 2 each, 8 groups with 4 each

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Find the solution(s) for x in the equation below. x^2 + 10x + 21= 0

Law Incorporation [45]

The solutions for ‘x’ in the given equation are – 3 and - 7

<u>Step-by-step explanation:</u>

Given equation:

$x^{2} + 10 x + 21 = 0$

To find the ‘x’ value, try to factor, because in this case it works, it's fast. By using factor method, we get

(x + 3) (x + 7) = 0 (adding both value we get 10 and multiply as 21 as in equation and check with signs also while factoring)

x = - 3, -7

Verify above values by multiply both terms,

(x + 3) (x + 7) = 0

$x^{2} + 7 x + 3 x + 21 = 0$

$x^{2} + 10 x + 21 = 0$ (so values obtained from factor method are correct)

Or, can use quadratic formula, for $a x^{2} + b x + c=0$ , the solutions are given by:

$x=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}$

In the given equation, a = 1, b = 10, c = 21, apply these in above formula

$x=\frac{-10 \pm \sqrt{10^{2}-(4 \times 1 \times 21)}}{2(1)}=\frac{-10 \pm \sqrt{100-84}}{2}$

$x=\frac{-10 \pm \sqrt{16}}{2}=\frac{-10 \pm 4}{2}$

So,

When $x=\frac{-10+4}{2}=\frac{-6}{2}=-3$

When $x=\frac{-10-4}{2}=\frac{-14}{2}=-7$

Hence, the values for ‘x’ are - 3 and - 7

7 0

3 years ago

Matt has $550 in his savings account. He is eager to know how much interest the bank will pay him for the whole year. He knows t

Mekhanik [1.2K]

Nice story.

We suppose the question is, "what is the amount of interest Matt will be paid?"

The formula that applies is
I = Prt
I = $550*0.03*1 = $16.50

Matt will be paid $16.50 in interest for the year.

3 0

4 years ago

A spinner is labelled with three colors: Red, Green and Blue Marcus spun the spinner once and tossed a coin once.

Rus_ich [418]

Answer:

there are three outcomes

Step-by-step explanation:

three colours= three outcomes

don't have a diagram

4 0

2 years ago

Write an if-then statement below

Finger [1]

Answer:

If you study for the test then you will get a good mark

7 0

3 years ago

Read 2 more answers

An isosceles triangle has base angles that each measure 42 degrees.Which equation can be used to find z, the measure of the thir

gavmur [86]

Answer:

z+42+42=180

Step-by-step explanation:

Since it is an isosceles triangle, the two base angles are the same and remember all the angles add to 180. So use this equation:

z+42+42=180

If you need to find z, it is 96.

Check: 96+42+42=180

3 0

3 years ago