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3 years ago

Use the distributive property to simplify the expression: -4(4x + 3) + (7x - 2)

Mathematics

1 answer:

Elodia [21]3 years ago

7 0

-4(4x+3) + (7x -2) = (-16x + -12) + (7x + 2) = -16 + -12 + 7x + 2 = -9x -10
The answer is -9x -10

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Orders for a computer are summarized by the optional features that are requested. The proportion of orders with no optional feat

Scorpion4ik [409]

Answer:

(a) 71.00%

(b) 63.00%

Step-by-step explanation:

No optional features = 0.29

One feature = 0.34

Two features = 0.37

(a) The probability that an order requests at least one optional feature is 100% minus the probability of an order requesting no optional features:

$P=1-0.29=0.71=71.00\%$

(b) The probability that an order does not request more than one optional feature is 100% minus the probability of an order requesting two optional features:

$P = 1 -0.37=0.63 = 63.00\%$

3 0

3 years ago

Heyy it would be really appreciated if you could help !

wolverine [178]

Answer:

x = z/(6πy)

Step-by-step explanation:

Divide by the coefficient of x.

z/(6πy) = 6πxy/(6πy)

z/(6πy) = x

8 0

3 years ago

F(x)=6x-18 sub in f(x/3), f(x)/3

arlik [135]

These are two separate problems: in the first we will have to substitute in a new value for x into the original equation and in the second we will manipulate the preexisting equation for f(x).

To begin, we will sub in f(x/3). To do this, we will substitute each variable x in the equation (in this case there is only one) with x/3, and then simplify the resulting equation.

f(x) = 6x - 18

f(x/3) = 6(x/3) - 18

To simplify, we should distribute the 6 on the right side of the equation.

f(x/3) = 6x/3 - 18

Now, we can divide the first term on the right side to finalize our simplification.

f(x/3) = 2x -18

Secondly, we are asked to find f(x)/3. To do this, we will take our original value for f(x), and then simplify divide that entire function by 3.

f(x) = 6x - 18

f(x)/3 = (6x-18)/3

This means that we must divide each term of the binomial by 3, so we are really computing

f(x)/3 = 6x/3 - 18/3

We can simplify by dividing both of the terms.

f(x)/3 = 2x - 6

Therefore, your answer is that f(x/3) = 2x - 18, but f(x)/3 = 2x - 6. It is important to recognize that these are two similar, yet different, answers.

Hope this helps!

8 0

3 years ago

Transversal cuts parallel lines and at points X and Y respectively. The point nearest to C is X, and the point nearest to D is Y

hammer [34]

Answer: The answer is (B) ∠SYD.

Step-by-step explanation: As mentioned in the question, two parallel lines PQ and RS are drawn in the attached figure. The transversal CD cut the lines PQ and RS at the points X and Y respectively.

We are given four angles, out of which one should be chosen which is congruent to ∠CXP.

The angles lying on opposite sides of the transversal and outside the two parallel lines are called alternate exterior angles.

For example, in the figure attached, ∠CXP, ∠SYD and ∠CXQ, ∠RYD are pairs of alternate exterior angles.

Now, the theorem of alternate exterior angles states that if the two lines are parallel having a transversal, then alternate exterior angles are congruent to each other.

Thus, we have

∠CXP ≅ ∠SYD.

So, option (B) is correct.

5 0

3 years ago

1.) A line has a slope of 2 and passes through the point (3,4). Write the equation of the line in slope-intercept form. [y=mx+b]

emmasim [6.3K]

Answer: y= 2x-2

Step-by-step explanation:

5 0

3 years ago