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Mars2501 [29]
3 years ago
13

I need help with inequalities

Mathematics
1 answer:
Hatshy [7]3 years ago
8 0

Answer: I can help

Step-by-step explanation:

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The arithmetic series 15+18+21+...+84+87 has how many terms?
bearhunter [10]

We can use the general term of the arithmetic series. Look:


\mathsf{a_n=a_1+(n-1)\cdot r}


Where:


\mathsf{a_1}: first term, 15.

\mathsf{a_n}: last term, 87.

n: number of terms (what we looking for);

r: reason, which is equal to the difference between two terms, that is, 3.


Let's go to the calculations.


\mathsf{a_n=a_1+(n-1)\cdot r}\\\\ \mathsf{87=15+(n-1)\cdot3}\\\\ \mathsf{87-15=(3n-3)}\\\\ \mathsf{72=3n-3}\\\\ \mathsf{72+3=3n}\\\\ \mathsf{75=3n}\\\\ \mathsf{n=\dfrac{75}{3}=25}


There are 25 terms.

8 0
3 years ago
Read 2 more answers
Help please this is really important
Rzqust [24]

Answer:

The first choice; 76.3in^2

Step-by-step explanation:

4 0
3 years ago
Rounded to the nearest hundredth , what is the positive solution to the quadratic equation 0=2x^2+3x-8
elena-14-01-66 [18.8K]

The positive solution to the quadratic equation 2 x^{2}+3 x-8=0 is x = 1.39

<h3><u>Solution:</u></h3>

Given quadratic equation is 2 x^{2}+3 x-8=0

<em><u>The general quadratic equation is of form:</u></em>

a x^{2}+b x+c=0

Now comparing the general equation with the given equation we get

a = 2 , b = 3 and c = -8

<em><u>The formula to determine roots of the quadratic equation is:</u></em>

x=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}

On plugging in vlaues, we get

x=\frac{-3 \pm \sqrt{3^{2}-4 \times 2 \times(-8)}}{2 \times 2}

\mathrm{x}=\frac{-3 \pm \sqrt{9-(-64)}}{4}

On solving we get,

\begin{array}{l}{\mathrm{x}=\frac{-3 \pm \sqrt{9+64}}{4}} \\\\ {\mathrm{x}=\frac{-3 \pm \sqrt{73}}{4}}\end{array}

\mathrm{x}=\frac{-3+\sqrt{73}}{4} \text { OR } \mathrm{x}=\frac{-3-\sqrt{73}}{4}

x = 1.39  OR  x = -2.89  

Hence , the positive solution to the quadratic equation  is x = 1.39

7 0
4 years ago
How much water should you have in a severe weather emergency supply kit?
Y_Kistochka [10]

Answer: u should have at least i gallon per person per day

8 0
3 years ago
What is the value of x.
ArbitrLikvidat [17]

the value of x is 8

7 0
3 years ago
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