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Agata [3.3K]
3 years ago
6

Solve the following question:

Mathematics
1 answer:
vredina [299]3 years ago
4 0

Answer:

x = 2, x = 8

Step-by-step explanation:

reminder that f'(x) = m_{tangent}

Differentiate f(x) term by term using the power rule

\frac{d}{dx} (ax^{n} )  = nax^{n-1}

f(x) = \frac{1}{3} x³ - 5x² + 2x + 10

f'(x) = x² - 10x + 2

Equating f'(x) to - 14

x² - 10x + 2 = - 14 ( add 14 to both sides )

x² - 10x + 16 = 0 ← in standard form

(x - 2)(x - 8) = 0 ← in factored form

Equate each factor to zero and solve for x

x - 2 = 0 ⇒ x = 2

x - 8 = 0 ⇒ x = 8

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Plzzzzz help me on this and explain
Galina-37 [17]
The Answers are B and C
Its B because 12 is MORE than twice as much as M. Meaning 140 is larger than 2*m
Its C because again it is MORE than twice as much as M. Meaning that 140 is larger than 2m.

Answers;B,C
Hope this helped!
7 0
3 years ago
Robin earned $4,320 in 9 weeks and worked 40 hours in each week.how much did he earned per hour
Gekata [30.6K]

Answer:

$12 per hour

Step-by-step explanation:

4320 / 9 = 480 per week / 40 = 12 per hour

6 0
3 years ago
A number line going from negative 3 to positive 5. a closed circle is at negative 1.5. everything to the left of the circle is s
algol13

The inequalities which matches the graph are: x ≥ ₋1.5 and ₋1.5 ≤ x

Given, a number line is moving from ₋3 to ₊5 .

Next a mark is made at ₋1.5 and everything to its left is shaded which means not visible.

When we mark the point and shade the left part of it then we can start applying the inequality expressions.

And from that we can match the applicable inequalities while observing the graph.

  • For the first inequality ₋1.5 ≥ x.Here,x value ranges from ₋1.5 to ₊5, hence we take this as an inequality expression.
  • Next, if we consider x ≤ ₋1.5, then here x value will range from ₋1.5 to ₋3. where the region is shaded. Hence this expression doesn't satisfy the graph.
  • the next expression is ₋1.5 ≤ x. here the value will again range in the shaded area so it is not applicable.
  • ₋1.5 ≥ x, here the values will satisfy the graph.
  • remaining inequality expressions does not support the graph.

Therefore the only inequalities the graph represents is  x ≥ ₋1.5 and ₋1.5 ≤ x

Learn more about "Linear Inequalities" here-

brainly.com/question/371134

#SPJ10

5 0
2 years ago
Nhich equation results from taking the square root of both sides of (x+9)2=25
ale4655 [162]

Answer:

square root of 25=5 and square root of (x+9)=(x+9) so the answer is.... x+9=+-5

Step-by-step explanation:

3 0
3 years ago
Answer choices
Anettt [7]
The answer is D because is you add a one under the 9 you get 9/1 x 2/3 and you can just multiply straight away and get 18/3 but if you need to simplify more you get 6
5 0
2 years ago
Read 2 more answers
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