Which of the following represents the solution of the equation 2(x-4)=32? [8.EE.7.b] A. x=12 B. x=14 C. x=18 D. x=20

Write the equation of the line, given the y and x-intercepts.

Dimas [21]

Answer:

y = -(2/3)m - 2

Step-by-step explanation:

recall that the general equation of a straight line in slope-intercept form is

y = mx + b

where, m is the slope and b is the y - intercept

here we are given that the y - intercept is -2, hence the equation becomes:

y = mx + (-2)

or

y = mx -2

we are also given that the x-intercept is -3, which means that when y = 0, x = -3 (simply substitute this into our new equation to solve for m)

0 = m(-3) -2

0 = -3m - 2 (add 3m to both sides)

3m = -2 (divide both sides by 3)

m = -(2/3)

hence our equation is now

y = -(2/3)m - 2

5 0

4 years ago

At Thanksgiving, Mrs. Jones overcooked the turkey so all but StartFraction 4 Over 5 EndFraction of it had to be thrown away. The

Veseljchak [2.6K]

Answer:8/10

Step-by-step explanation: 4/5 times 2 is 8/10 so they equal the same thing

4 0

4 years ago

Read 2 more answers

What is the equation for the line of reflection that maps the trapezoid onto itself?

kvv77 [185]

The line that maps a figure onto itself is a line of symmetry of the figure.

From the given trapezoid, the line of symmetry of the trapezoid is x = -2.

Therefore, the <span>equation for the line of reflection that maps the trapezoid onto itself</span> is x = -2.

6 0

3 years ago

Read 2 more answers

What is another way to write the expression t. (14--5) ?

melomori [17]

Answer: Second option.

Step-by-step explanation:

It is important to remember the Distributive Property in order to solve this exercise.

The Distributive property states that:

$a(b+c)=ab+ac\\\\\\a(b-c)=ab-ac$

In this case you have the following expression provided in the exercise:

$t(14-5)$

Then, in order to write this expression in another way, you can apply the Distributive property. Multiply each number inside the parentheses by "t".

Applying this procedure, you get:

$t(14-5)=(t14)-(t5)$

Notice that this expression matches with the one shown in the the second option.

8 0

3 years ago

If a cat with short brown hair (llBb) is crossed with a cat with long black hair (Llbb), what is the likelihood that there will

Advocard [28]

Bb = brown hair phenotype

bb = black hair phenotype

we see that B = brown hair is the dominant gene while b = black hair is the recessive gene

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ll = short hair, this is a lowercase L

Ll = long hair

In this case, l = short hair is the recessive gene while L = long hair is the dominant gene.

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Check out the diagram below to see the dihybrid crosses for each of the hair color and hair length genotypes. From there, I show all of the genotypes possible for any offspring. Those genotypes are

LlBb = long brown hair (comes up 4 times)
Llbb = long black hair (comes up 4 times)
llBb = short brown hair (comes up 4 times)
llbb = short black hair (comes up 4 times)

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If we are talking about 1 offspring, then it is not possible for him/her to have both "long black hair AND short brown hair" as the instructions state. So let's consider two offspring instead.

The probability of having long black hair is 4/16 = 1/4 as there are 4 cases of Llbb out of 16 cases total. Similarly, the probability of getting llBb is 4/16 = 1/4 as well, for pretty much the same reasons.

The probability of having both events occur is (1/4)*(1/4) = 1/16

The multiplication of probabilities is valid because the two events are independent.

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<h3>Final Answer: A) 1/16</h3>

5 0

3 years ago