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2 years ago

Multiply. −1/2⋅3/4 −2/3 −3/8 3/8 2/3

Mathematics

1 answer:

erastova [34]2 years ago

6 0

Answer:

-3/8

1/4

Step-by-step explanation:

1: -1/2•3/4 = 1•3 (numerator) and 2•4 (denominator) and the product is negative (since you are multiplying a positive and a negative number). You get 3 for numerator and 8 for denominator — -3/8. Check to see if it can be reduced further and it cannot. So it’s -3/8.

2: -2/3•-3/8 = -2•-3= 6 (numerator) and 3•8=24 (denominator). That’s 6/24. Check to see if it can be reduced. It can! So 6/24 reduces to 1/4 ( GCF of 6 and 24 is 6 so you divide the numerator and denominator separately by the GCF of 6 which 6÷6=1 (numerator) and 24÷6=4 (denom) so it’s 1/4). Note the sign of the product is positive since it’s a negative times a negative would give a positive answer.

3: 3/8•2/3 = 3/8•2/3 = 3•2/8•3 = 6/24 and reduces to 1/4 as noted above. Positive times a positive is positive.

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lisabon 2012 [21]

Answer:

Step-by-step explanation:

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3 years ago

Determine the factors of 3x2 + 10x − 8. (Which is the right answer?)

VMariaS [17]

ANSWER

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

EXPLANATION

The given quadratic trinomial is

$3 {x}^{2} + 10x - 8$

Comparing to the general quadratic trinomial:

$a{x}^{2} + bx + c$

We have a=1, b=10 and c=-8

$ac = 3 \times - 8 = - 24$

The factors of -24 that adds up to 10 are -2 and 12.

We split the middle term to obtain;

$3 {x}^{2} + 12x - 2x- 8$

Factor;

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

Factor further;

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

The last option is correct.

4 0

4 years ago

Drag a statement or reason to each box to complete this proof.

goblinko [34]

The different statements and reasons to prove that −3(x + 8) = −21 are as detailed below.

<h3>How to utilize properties of Algebra?</h3>

Statement 1; −3(x + 8) = −21

Reason 1; Given

Statement 2; −3(x + 8)/-3 = −21/-3

Reason 2; Division property of Equality

Statement 3; x + 8 - 8 = 7 - 8

Reason 3; Subtraction Property of Equality

Statement 4; x = -1

Reason 4; Given

Read more about properties of Algebra at; brainly.com/question/855307

#SPJ1

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2 years ago

Which subtraction sentences show you how to find 15-7

Alborosie

First you need to divide 7 and 15, and the answer you get is 8, so 8+7=15. 8 will be your answer.

8 0

3 years ago

Read 2 more answers

Find the zeros of the function f(x) = x2 + 5x + 6. A) y = 6 because the graph crosses the y-axis at 6. B) y = -0.25 because that

Fofino [41]

Answer:

D.)

Step-by-step explanation:

The zero's are referencing when y=0, note that when y=0 they are talking about the x-intercepts. You can graph the function and see when the graph crosses the x-axis or solve for the x-values. I will solve it via factoring and so:

$f(x)=x^2+5x+6$

Multiply the outer coefficients, in this case 1 and 6, and 1×6=6. Now let's think about all the factors of 6 we have: 6×1 and 2×3. Now is there a way that if we use any of these factors and add/subtract them they will return the middle term 5? Actually we can say 6-1=5 and 2+3=5. Let's try both.

First let's use 6 and -1 and so:

$x^2+5x+6\\\\x^2+6x-x+6\\\\x(x+6)-1(x-6)$

Notice how we have (x+6) and (x-6), these factors do not match so this is incorrect.

Now let's try 2 and 3 and so:

$x^2+5x+6\\\\x^2+3x+2x+6\\\\x(x+3)+2(x+3)\\\\(x+2)(x+3)$

Notice how the factors (x+3) matched up so this is a factor and so is (x+2), now to solve for the zero's let's make f(x)=0 and solve each factor separately:

Case 1:

$f(x)=x+2\\\\0=x+2\\\\x=-2$

Case 2:

$f(x)=x+3\\\\0=x+3\\\\x=-3$

So your zero's are when x=-2 and x=-3.

D.) x=-3 and x=-2 because the graph crosses the x-axis at -3 and -2.

~~~Brainliest Appreciated~~~

8 0

3 years ago