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Paraphin [41]
3 years ago
13

3n-5=8(6+5n) addition property of equality

Mathematics
1 answer:
blagie [28]3 years ago
4 0

Answer:

exact form:  n=-53/37

Step-by-step explanation:

isolate the variable by dividing each side by factors that don't contain the variable.

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Can someone answer question 2a and b only please
Mice21 [21]

Answer:

2a)  -2

b) 8

Step-by-step explanation:

<u>Equation of a parabola in vertex form</u>

f(x) = a(x - h)² + k

where (h, k) is the vertex and the axis of symmetry is x = h

2 a)

Using the equation of a parabola in vertex form, a parabola with vertex (2, -6):  

f(x) = a(x - 2)² - 6

If one of the x-axis intercepts is 6, then

                 f(6) = 0

⇒ a(6 - 2)² - 6 = 0

⇒         16a - 6 = 0

⇒              16a = 6

⇒                  a = 6/16 = 3/8

So f(x) = 3/8(x - 2)² - 6

To find the other intercept, set f(x) = 0 and solve for x:

                    f(x) = 0

⇒ 3/8(x - 2)² - 6 = 0

⇒      3/8(x - 2)² = 6

⇒           (x - 2)² = 16

⇒              x - 2 = ±4

⇒                   x = 6,  -2

Therefore, the other x-axis intercept is -2

b)

Using the equation of a parabola in vertex form, a parabola with vertex (2, -6):  

f(x) = a(x - 2)² - 6

If one of the x-axis intercepts is -4, then

                 f(-4) = 0

⇒ a(-4 - 2)² - 6 = 0

⇒         36a - 6 = 0

⇒              36a = 6

⇒                  a = 6/36 = 1/6

So f(x) = 1/6(x - 2)² - 6

To find the other intercept, set f(x) = 0 and solve for x:

                    f(x) = 0

⇒  1/6(x - 2)² - 6 = 0

⇒       1/6(x - 2)² = 6

⇒           (x - 2)² = 36

⇒              x - 2 = ±6

⇒                   x = 8,  -4

Therefore, the other x-axis intercept is 8

8 0
2 years ago
Write the equation of a line that is
prisoha [69]

Answer:

y=3/2

Step-by-step explanation:

This line's slope is perpendicular to -2/3 and its y intercept is 0.

4 0
2 years ago
Which expression is equivalent to 28 + 12? (1 point) 4(7 + 3) 4(24 + 8) 7(4 + 12) 7(21 + 5)
vodka [1.7K]

Answer:

4(7+3)

Step-by-step explanation:

28 and 12 are both divisible by 4.

28 ÷ 4 = 7

12 ÷ 4 =  3

4 0
3 years ago
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2 3/8 x 3 3/7 = ?<br><br> Please help me! I hate fractions and don't understand!!!!!!!
Katen [24]
The answer is 69/7...       
5 0
3 years ago
After your meal you splurge on dessert. The cost is $4.49. What would be a good estimate for the dessert with 10% tax?
aleksandr82 [10.1K]

Answer:

<em><u>$4.59</u></em> would be a good estimate for the dessert with 10% tax.

Step-by-step explanation:

10% = 0.10

0.10 + 4.49

5 0
2 years ago
Read 2 more answers
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