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Fiesta28 [93]
3 years ago
12

Evaluate the expressions using the distributive property. ⅔(-7) + ⅔(-5)

Mathematics
1 answer:
Norma-Jean [14]3 years ago
7 0
-8
2/3(-21/3) + 2/3(-15/3)
-42/9 + -30/9
-72/9 = -8
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9 is added to a number and multiplied by 7. The result is 84.​
bearhunter [10]

Answer:

<h2> 12 because 9+3 = 12 12 • 7 = 84</h2>

Step-by-step explanation:

<h2>Hopes this helps. Mark as brainlest plz!</h2>
4 0
3 years ago
Read 2 more answers
For what value of c is the function defined below continuous on (-\infty,\infty)?
kozerog [31]
f(x)= \left \{ {{x^2-c^2,x \ \textless \  4} \atop {cx+20},x \geq 4} \right&#10;

It's clear that for x not equal to 4 this function is continuous. So the only question is what happens at 4.
<span>A function, f, is continuous at x = 4 if 
</span><span>\lim_{x \rightarrow 4} \  f(x) = f(4)

</span><span>In notation we write respectively
</span>\lim_{x \rightarrow 4-} f(x) \ \ \ \text{ and } \ \ \ \lim_{x \rightarrow 4+} f(x)

Now the second of these is easy, because for x > 4, f(x) = cx + 20. Hence limit as x --> 4+ (i.e., from above, from the right) of f(x) is just <span>4c + 20.
</span>
On the other hand, for x < 4, f(x) = x^2 - c^2. Hence 
\lim_{x \rightarrow 4-} f(x) = \lim_{x \rightarrow 4-} (x^2 - c^2) = 16 - c^2

Thus these two limits, the one from above and below are equal if and only if
 4c + 20 = 16 - c²<span> 
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c^2+4c+4=0&#10;\\(c+2)^2=0&#10;\\c=-2

That is to say, if c = -2, f(x) is continuous at x = 4. 

Because f is continuous for all over values of x, it now follows that f is continuous for all real nubmers (-\infty, +\infty)

4 0
3 years ago
Solve the system of equations using elimination.
tester [92]

Answer:

y = 16 + 3/11

x = -76/11

Step-by-step explanation:

2y - 5x = -2

3y + 2x = 35

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(2y - 5x = -2)*3

(3y + 2x = 35)*2

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6y - 15x = -6

6y +4x = 70

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(6y - 15x = -6) - (6y +4x = 70)

15x - 4x = -6 -70

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11x = -76

x = -76/11

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3y +2(-76/11) = 35

3y = 35 + 152/11

3y = 13 + 35 + 9/11

3y = 48 + 9/ 11

y = 16 + 3/11

8 0
3 years ago
When rolling a number cube with sides labeled 1 through 6, what is the probability of rolling a number greater than 3? . . Expre
Alex Ar [27]
Probability of rolling a number greater than 3:
P ( A ) = m/n
m =3,  (numbers 4, 5, 6)
n = 6,  (numbers 1 to 6).
P ( A ) = 3/6 = 1/2 = 0.5
8 0
3 years ago
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Help me with this please. Thanks!
horsena [70]
Cubic inch.
Proszę.
Myślę że pomoglem.
7 0
3 years ago
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