1. Solve the given inequality and graph it on the number line.

The scale on a map is ½ inch = 15 miles. How far apart are two towns that are 2 inches apart on the map? Someone help me please!

erastova [34]

The two towns would be 60 miles apart. Because 2 inches divided by 0.5 inches is 4. So you have to multiply 15 miles and you’ll 60 miles

5 0

3 years ago

Read 2 more answers

6 apples 4 bananas 3 carrots cost 2.93$ 4 apples 4 bananas and 2 carrots cost 2.22$ 8 carrots cost 0.88$ how much is each item

GarryVolchara [31]

Answer:

Step-by-step explanation:

carrot = 0.11 $ .ie 0.88/8

3 0

2 years ago

I NEED MEGA HELP WITH THIS QUESTION

katrin2010 [14]

Answer:

C. $y = - \frac{1}{4} x - 2$

Step-by-step explanation:

To find slope using coordinates, use the formula above.

$(4, - 3) \: (0, - 2)→ \frac{ - 2 - ( - 3)}{0 - 4}→ \frac{ - 2 + 3}{ - 4} → - \frac{1}{4}$

Now, using the $y = mx + b$ formula, plug in $- \frac{1}{4}$ as $m$ (slope) and either coordinate as the $x$ and $y$ values. It looks like this:

$- 3 = - \frac{1}{4}(4) + b$

To solve for $b$ , continue to use PEMDAS.

$- 3 = - \frac{1}{4}(4) + b→ - 3 = - 1 + b→ - 2 = b$

Now use $m$ and $b$ to solve for your equation:

$y = - \frac{1}{4} x - 2$

The answer is C.

4 0

3 years ago

How can you quickly determine the number of roots a polynomial will have by looking at the equation?

Shtirlitz [24]

One can determine the number of roots by seeing the degree of the given polynomial.

The number of roots can be determined by just seeing the highest power of the given equation.

1) for the equation x-4=0

here, the highest power of the equation is one. So, it will have one root.

<h3>What is the polynomial?</h3>

A polynomial is an expression consisting of indeterminates and coefficients, that involves only the operations of addition, subtract multiplication, on, and non-negative integer exponentiation of variables.

Let's check it by simplifying x-4=0 which implies x=4

Hence, the equation has only one root namely x = 4.

2) Consider a quadratic equation,

10t^2-t-3=0

here, the highest power of the equation is two. So, it will have two roots.

Let's check it by simplifying using the middle term splitting method,

10t^2+5t-6t-3=0

5t(2t+1)-3(2t+1)=0

(5t-3)(2t+1)=0

t=-3/5 or t=-1/2

Thus, the equation has two roots.

Hence, one can determine the number of roots by seeing the degree of the given polynomial.

To learn more about the polynomial visit:

brainly.com/question/2833285

#SPJ1

3 0

1 year ago

Total blood cholesterol level was measured for each of

laiz [17]

<h3>Answer: Mean = 218.9.</h3><h3>Median = 229</h3><h3>Mode = Zero mode.</h3>

Step-by-step explanation:

Given blood cholesterol level was measured for each of 8 adults (in mg/dL) are:

264, 191, 160, 148, 262, 212, 268, 246

In order to find the mean, we need to add all those 8 numbers and divide by 8.

Therefore, mean = $\frac{264+191+160+148+262+212+268+246}{8} =\frac{1751}{8} =218.9.$

In order to find the median, we need to arrange them in ascending order:

148, 160, 191, 212, 246, 262, 264, 268.

The middle most two values are 212 and 246.

Therefore, median = $\frac{212+246}{2} =\frac{458}{2} = 229.$

<h3>Median = 229.</h3>

$\mathrm{The\:mode\:is\:the\:term\:in\:the\:data\:set\:that\:appears\:the\:most.}$

$\mathrm{If\:there\:is\:more\:than\:one\:term\:that\:appears\:the\:most,\:then\:there\:is\:no\:mode.}$

$\mathrm{Count\:the\:number\:of\:times\:each\:element\:appears\:in\:the\:list}$

$\begin{pmatrix}148&160&191&212&246&262&264&268\\ 1&1&1&1&1&1&1&1\end{pmatrix}$

$\mathrm{The\:most\:common\:element\:is\:not\:unique,\:so\:there\:is\:no\:mode}$

<h3>Therefore, Mode = Zero mode.</h3>

5 0

3 years ago

1. Solve the given inequality and graph it on the number line.–3x + 9 ≤ 15 Answer: