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3 years ago

25 PTS BRAINLIEST HELP

Mathematics

1 answer:

soldi70 [24.7K]3 years ago

8 0

Answer:

= 22 + 3,0 + 1 = 36

= -20 + 3 = -17

= -62 + 10 = -52

= 2 x (-7) = -14

= (-322) - 30 + 11 = 281

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Erik and Caleb were trying to solve the equation: 0=(3x+2)(x-4) Erik said, "The right-hand side is factored, so I'll use the zer

Mumz [18]

Answer:

C) Both

Step-by-step explanation:

The given equation is:

$0=(3x+2)(x-4)$

To solve the given equation, we can use the Zero Product Property according to which if the product A.B = 0, then either A = 0 OR B = 0.

Using this property:

$(3x+2) = 0 \Rightarrow \bold{x = -\frac{2}{3}}\\(x-4) = 0 \Rightarrow \bold{x = 4}$

So, Erik's solution strategy would work.

Now, let us discuss about Caleb's solution strategy:

Multiply $(3x+2)(x-4)$ i.e. $3x^2-12x+2x-8$ = $3x^2-10x-8$

So, the equation becomes:

$0=3x^2-10x-8$

Comparing this equation to standard quadratic equation:

$ax^2+bx+c=0$

a = 3, b = -10, c = -8

So, this can be solved using the quadratic formula.

$x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}$

$x=\dfrac{-(-10)\pm\sqrt{(-10)^2-4\times3 \times (-8)}}{2\times 3}\\x=\dfrac{-(-10)\pm\sqrt{196}}{6}\\x=\dfrac{10\pm14}{6} \\\Rightarrow x= 4, -\dfrac{2}{3}$

The answer is same from both the approaches.

So, the correct answer is:

C) Both

3 0

2 years ago

1 Find the slope of a line which passes through the points P(-3, 2) and Q(1, 5)

Arada [10]

Answer:

3/4

Step-by-step explanation:

We can use the slope formula when given two points

m = ( y2-y1)/(x2-x1)

= ( 5-2)/(1 - -3)

= (5-2)/(1+3)

= 3/4

7 0

3 years ago

A farm stand sells apples, a, for $5 a bucket and peaches, p,

Mrrafil [7]

Answer:

B. 5a + 8p = 155; p = a - 5

Step-by-step explanation:

4 0

3 years ago

Identify the factors of x2 − 4x − 21. (x − 7)(x 3) (x 7)(x − 3) (x 21)(x − 1) (x − 21)(x 1)

Tanzania [10]

The factors of the quadratic expression x² - 4x - 21 is (x - 7)(x + 3), making the first option the right choice.

A quadratic expression is of the form ax² + bx + c, which can be factorized using the mid-term factorization method, where b is shown as the sum or difference of two such numbers, whose product is equal to the product of a and c.

In the question, we are asked to factorize the quadratic expression, x² - 4x - 21.

In the given expression, a = 1, b = -4, and c = -21.

Thus, ac = -21.

The numbers having a product 21 are:

1*21 = 21,

3*7 = 21.

Since, 3 - 7 = -4 (That is b), we break b into 3 and -7.

Thus, the expression can now be shown as:

x² - 4x - 21

= x² + (3 - 7)x - 21

= x² + 3x - 7x - 21

= x(x + 3) - 7(x + 3) {By taking common}

= (x - 7)(x + 3) {By taking common}.

Thus, the factors of the quadratic expression x² - 4x - 21 is (x - 7)(x + 3), making the first option the right choice.

Learn more about factorizing a quadratic expression at

brainly.com/question/52959

#SPJ1

5 0

1 year ago

69.6% of all full-time law enforcement officers are sworn officers, and of those, 88.2% were males. Females, however, make up 60

Evgen [1.6K]

Answer:

The probability that he or she is a male or a civilian employee is 1.037068

Step-by-step explanation:

Probability of sworn officers = 0.696

Probability of civilians = 1 - 0.696 = 0.304

Probability of male sworn officers = 0.882*0.696 = 0.6139

Probability of male civilian = (0.304*(1-0.608)) = 0.1192

Hence probability that he or she is a male or civilian employee is

0.6139 + 0.1192 + 0.304 = 1.037068

7 0

3 years ago

Read 2 more answers