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allochka39001 [22]
3 years ago
15

Need help asap on #2-5

Mathematics
1 answer:
Kitty [74]3 years ago
4 0

Hello!

To solve algebraic equations or inequalities, we will need to use SADMEP. SADMEP is an acronym for subtraction, addition, division, multiplication, exponents and parentheses. SADMEP is strictly used when solving algebraic equations/inequalities.

2. x - 7 > 10 (add 7 to both sides)

x > 10

3. 3x ≤ 21 (divide both sides by 3)

x ≤ 7

4. 5a - 2 < 18 (add 2 to both sides)

5a < 20 (divide both sides by 5)

a < 4

5. 2t + 8 ≥ -4(t + 1) (use the distributive property)

2t + 8 ≥ -4t - 4 (add 4t to both sides)

6t + 8 ≥ -4 (subtract 8 from both sides)

6t ≥ -12 (divide both sides by 6)

t ≥ -2

<u>Final answers:</u>

  • 2. x > 10
  • 3. x ≤ 7
  • 4. a < 4
  • 5. t ≥ -2
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Answer is D. (–10, –30) 

when x = -10 then y = <span>3x = 3(-10) = -30</span>
5 0
3 years ago
Find an equation for the tangent to the curve at P and the horizontal tangent to the curve at Q. y = 5 + cot x - 2 csc x 0 1 2 3
oksian1 [2.3K]

Answer with explanation:

The given function in x and y is,

  y= 5 +cot x-2 Cosec x

To find the equation of tangent, we will differentiate the function with respect to x

y'= -\csc^2 x+2 \csc x\times \cot x

Slope of tangent at (π/2,3)

 y'_{(\frac{\pi}{2},3)}= -\csc^2\frac{\pi}{2} +2 \csc \frac{\pi}{2}\times \cot \frac{\pi}{2}\\\\=-1+2\times 1 \times 0\\\\= -1

Equation of tangent passing through (π/2,3) can be obtained by

\rightarrow \frac{y-y_{1}}{x-x_{1}}=m(\text{Slope})\\\\ \rightarrow \frac{y-3}{x-\frac{\pi}{2}}=-1\\\\\rightarrow 3-y=x-\frac{\pi}{2}\\\\\rightarrow x+y-3-\frac{\pi}{2}=0

⇒There will be no Horizontal tangent from the point (π/2,3).

5 0
4 years ago
Hard to see but need help please
gogolik [260]
1st photo is simplifying the entire account.

2nd photo is how i simplified the x^2 + 9x + 18 equation into (x+3).(x+6) .

3rd photo is the remaining part of the 2nd photo.

Answer: 2nd option = (x+6)(x+5)

4 0
4 years ago
Math. help. please. help. math homework sucks.
slamgirl [31]
21.c

22.d

23.a

24.c
25.b
8 0
3 years ago
Read 2 more answers
Janet scored 200 and 400 points in the first 2 rounds of a computer game.
7nadin3 [17]

Answer:

B. (200+400)-250=p

Step-by-step explanation:

Let p be number of points Michael needs to score in 2nd game to catch up.

We have been given that Janet scored 200 and 400 points in the first 2 rounds of a computer game. So the total points scored by Janet in two games will be: (200+400) points.

We are also told that Michael had scored 250 points in the first round and he want to get the same total score as Janet.

So we can find the number of points Michael needs to score to catch up Janet by subtracting the number of points scored by Michael in 1st game from total number of points scored by Janet in two games. We can represent this information in an equation as:

(200+400)-250=p

Therefore, the equation (200+400)-250=p will help Michael to find the number of points he need to catch up Janet and option B is the correct choice.


3 0
4 years ago
Read 2 more answers
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