All categories

4 years ago

Consider the inequality -5(x+7) <-10. Write the inequality representing the solution for x

Mathematics

1 answer:

enot [183]4 years ago

8 0

$-5(x+7) < -10 \\x+7 < 2 \\x < -5 \Longrightarrow \boxed{x\in(-\infty, -5)}$

Hope this helps.

You might be interested in

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>Solution:</h3>

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

The general quadratic equation is of form:

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

Now comparing the general equation with the given equation we get

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

The formula to determine roots of the quadratic equation is:

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

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

Evaluate B2 for B = 9. 18 81 92

Deffense [45]

The answer is 18 because if u put the 2 and put the 9 right next to it and you multiply it you get 18

5 0

4 years ago

Read 2 more answers

Please help me

GrogVix [38]

Answer:

19x+22

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

What do -2 = 9(4) equal to

dem82 [27]

You’re not able to solve that

5 0

3 years ago

I need to understand this kindly help.....

AveGali [126]

Answer:

Section a)

Solution;

A correlation coefficient of 0.4 implies a relatively weak positive association between two sets of data. There is a notable small increment in one data set as the other increases.

Section b)

Solution;

A correlation coefficient of -0.96 implies a strong negative association between two sets of data. An increase in the values of one data set amounts to a decrease in the values of the other data set by approximately the same magnitude.

Section c)

Solution;

A correlation coefficient of -0.02 implies a weak negative association between two sets of data. An increase in the values of one data set amounts to a negligible decrease in the values of the other data set.

Section d)

Solution;

A correlation coefficient of 1.0 implies a perfect positive association between two sets of data. An increase in the values of one data set amounts to an increase in the values of the other data set by exactly the same magnitude. A scatter plot would reveal that the line y =x fits the data well.

Section e)

Solution;

A correlation coefficient of 0.86 implies a strong positive association between two sets of data. An increase in the values of one data set amounts to an increase in the values of the other data set by approximately the same magnitude.

Step-by-step explanation:

Correlation coefficient measures the degree of association between two variables or data sets. Correlation coefficients can be positive or negative and may imply weak or strong association between two data sets.

A correlation coefficient of less than 5 is implies a weak association while a value greater than or equal to 5 implies a strong association. Finally, a correlation of 1.0 implies perfect association.

7 0

3 years ago