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kap26 [50]
2 years ago
7

Solve the inequality 4t^2 ≤ 9t-2 please show steps and interval notation. thank you!​

Mathematics
1 answer:
FromTheMoon [43]2 years ago
3 0

Answer: t\in [\dfrac{1}{4},2]

Step-by-step explanation:

Given

Inequality is 4t^2\leq9t-2

Taking variables one side

\Rightarrow 4t^2-9t+2\leq0\\\Rightarrow 4t^2-8t-t+2\leq0\\\Rightarrow 4t(t-2)-1(t-2)\leq0\\\Rightarrow (4t-1)(t-2)\leq0

Using wavy curve method

t\in [\dfrac{1}{4},2]

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On Thursday afternoon at camp Alice played basketball and went swimming before dinner she spent 45 minutes playing basketball an
ivann1987 [24]

Answer:

3:45 PM.

Step-by-step explanation:

We have been given that on Thursday afternoon at camp Alice played basketball and went swimming before dinner she spent 45 minutes playing basketball and one hour swimming dinner lasted for an hour. The dinner ended at 5:30 PM.

Since she spent 1 hour for swimming, so 1 hour before 5:30 PM would be 4:30 PM.

To find the time, when Alice started playing basketball, we need to find 45 minutes before 4:30 PM.

30 minutes before 4:30 PM would be 4:00 PM and 15 minutes before 4:00 PM would be 3:45 PM.

Therefore, Alice started playing basket ball at 3:45 PM.  

7 0
3 years ago
Why does -2.4-(-7)have the same result as -2.4+7? Explain your reasoning.
asambeis [7]

Answer:

-2.4-(-7) has the same result as -2+7 because the negative sign and the minus sign cancel each other out. Think of it like this. If you cross the negative sign and the minus sign together, then it makes a plus sign.

Step-by-step explanation:

I gave a basic answer. You might have to elaborate more on this.

8 0
3 years ago
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How do you find the area of a cube measuring 3ft it has 7sides
RUDIKE [14]
3 times 7= 21 times three =63

4 0
3 years ago
Lol plsss help me :((
patriot [66]

Answer:

The choice two;

-  \sqrt{3}

Step-by-step explanation:

\sqrt{27}  - 4 \sqrt{3}  \\ 3 \sqrt{3}  - 4 \sqrt{3}   =  - 1 \sqrt{3}  =  -  \sqrt{3}

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Write the equation of the line in point-slope form. ASAP PLS !!!!
Vlad1618 [11]

Answer:

y - 1 = \frac{2}{3}(x - 3)

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

Calculate m using the slope formula

m = \frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }

with (x₁, y₁ ) = (0, - 1) and (x₂, y₂ ) = (3, 1) ← 2 points on the line

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and using (a, b) = (3, 1 ) , then

y - 1 = \frac{2}{3} (x - 3)

8 0
2 years ago
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