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4 years ago

What expression is equivalent to 4(2x+7)

Mathematics

1 answer:

Serga [27]4 years ago

5 0

Not sure if you have an answer choice but with my guess distribute the sums and it should leave an expression of 8X+28

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Which of the following is equivalent to the expression below (-3+5)+(m-11

Liula [17]

<h2><u>Answer:</u></h2><h3>m-9</h3><h3><u>Step-by-step explanation:</u></h3><h3><u>Let's simplify step-by-step.</u></h3>

−3+5+m−11

=−3+5+m+−11

<h3><u>Combine Like Terms:</u></h3>

=−3+5+m+−11

=(m)+(−3+5+−11)

=m+−9

<h3><u>Answer:</u></h3>

=m−9

ŸÔÛ ÀRÉ VÉRŸ WÈLÇÖMÈ ......

6 0

3 years ago

Solve x2 + 6x + 7 = 0. (2 points)

Alexandra [31]

Option C: $$x=-3 \pm\sqrt{2}$

Solution:

Given equation is $x^{2}+6 x+7=0$ .

This is a quadratic equation.

Here a = 1, b = 6, c = 7

To solve the given equation by quadratic formula,

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

Substitute the given values in the quadratic formula, we get

$$x=\frac{-6 \pm \sqrt{6^{2}-4 (1) (7)}}{2 (1)}$

$$x=\frac{-6 \pm \sqrt{36-28}}{2 }$

$$x=\frac{-6 \pm \sqrt{8}}{2 }$

$$x=\frac{-6 \pm2 \sqrt{2}}{2 }$

$$x=\frac{2(-3 \pm\sqrt{2})}{2 }$

2 in the numerator and denominator are cancelled.

$$x=-3 \pm\sqrt{2}$

Option C is the correct answer.

8 0

3 years ago

If a pair of regular dice are tossed once, use the expectation formula to determine the expected sum of the numbers on the upwar

Darya [45]

Answer:

The expected sum of the numbers on the upward faces of the two dice is 7.

Step-by-step explanation:

Consider the provided information.

If two pair of dice tossed the possible out comes are:

(1, 1), (1, 2), (1, 3), (1, 4), (1, 5), (1, 6)

(2, 1), (2, 2), (2, 3), (2, 4), (2, 5), (2, 6)

(3, 1), (3, 2), (3, 3), (3, 4), (3, 5), (3, 6)

(4, 1), (4, 2), (4, 3), (4, 4), (4, 5), (4, 6)

(5, 1), (5, 2), (5, 3), (5, 4), (5, 5), (5,6)

(6, 1), (6, 2), (6, 3), (6, 4), (6, 5), (6,6)

Now we need to find the expected sum of the numbers on the upward faces of the two dice.

The expected sums can be:

Sum: 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12

Prob: 1/36, 2/36, 3/36, 4/36, 5/36, 6/36, 5/36, 4/36, 3/36, 2/36, 1/36

As we know that the expectation of experiment can be calculated as:

$P(S_1)\cdot S_1+P(S_2)\cdot S_2+........+P(S_n)\cdot S_n$

Here S represents the numerical outcomes and P(S) is the respective probability.

Substitute the respective values in the above formula.

$=2\times\frac{1}{36}+3\times\frac{2}{36}+4\times\frac{3}{36}+5\times\frac{4}{36}+6\times\frac{5}{36}+7\times\frac{6}{36}+8\times\frac{5}{36}+9\times\frac{4}{36}+10\times\frac{3}{36}+11\times\frac{2}{36}+12\times\frac{1}{36}\\=\frac{252}{36}\\=7$

Hence, the expected sum of the numbers on the upward faces of the two dice is 7.

8 0

4 years ago

If s(x) = 2 – x2 and t(x) = 3x, which value is equivalent to (s t)(-7)? A. -439 B. -141 C. 153 D. 443

Ulleksa [173]

Answer: Option A -439

(s o t)(x)=s(t(x))
(s o t)(-7)=s(t(-7))
x=-7→t(-7)=3(-7)→t(-7)=-21
(s o t)(-7)=s(t(-7))=s(-21)
x=-21→s(-21)=2-(-21)^2=2-441→s(-21)=-439
(s o t)(-7)=s(t(-7))=s(-21)=-439
Answer: Option A -439

5 0

3 years ago

Read 2 more answers

What is the solution 8x-3(2x-4)=3(x-6)

yanalaym [24]

Answer:

x = 30

General Formulas and Concepts:

Order of Operations: BPEMDAS
Equality Properties

Step-by-step explanation:

<u>Step 1: Define equation</u>

8x - 3(2x - 4) = 3(x - 6)

<u>Step 2: Solve for </u><em><u>x</u></em>

Distribute: 8x - 6x + 12 = 3x - 18
Combine like terms: 2x + 12 = 3x - 18
Subtract 2x on both sides: 12 = x - 18
Add 18 to both sides: 30 = x
Rewrite: x = 30

<u>Step 3: Check</u>

<em>Plug in x to verify it's a solution.</em>

Substitute: 8(30) - 3(2(30) - 4) = 3(30 - 6)
Multiply: 240 - 3(60 - 4) = 3(30 - 6)
Subtract: 240 - 3(56) = 3(24)
Multiply: 240 - 168 = 72
Subtract: 72 = 72

5 0

3 years ago

Read 2 more answers