4-9x= -14 solve the inequality.

I'm stuck, can any one help me please?

katovenus [111]

Answer:

4 times 2+3-1=10

Step-by-step explanation:

6 0

3 years ago

A ladybug and ant move at constant speeds. The diagrams with tick marks show their positions at different times. Each tick mark

MissTica

Answer:

From the graph we can say that ant is moving faster than the ladybug

Slope of the ant's movement will be steeper than the ladybug

Hence, line "v" denotes the speed of ant and line "u" denotes the speed of ladybug.

Unit rate/slope of the graph is (distance traveled/elapsed time)

Unit rate of ant is 3/2 cm/sec and that of ladybug is 1 cm/sec.
Ant takes (12×2/3) = 8 sec and ladybug takes (12×1) = 12 sec to travel 12 cm.

Remember ant will take less time to travel a certain distance than ladybug.

4 0

3 years ago

Y is inversely proportional to x and y = 24 when x = 2.

bija089 [108]

Answer:

k = 48

For x = 6, y = 8.

Step-by-step explanation:

The general equation for inverse variation is

y = k/x

We are told that y = 24 when x = 2, so we plug in those two values in the general equation to find the value of k.

24 = k/2

k = 24 * 2 = 48

Now that we know k = 48, the equation for our case is

y = 48/x

Now we plug in x = 6 and find y.

y = 48/x

y = 48/6

y = 8

6 0

4 years ago

In a study relating the degree of warping, in mm, of a copper plate (y) to temperature in °C (x), the following summary statisti

elena-14-01-66 [18.8K]

Answer:

a)

y = 0.3035 + 0.0082x

b)

0.6315 mm

c)

x = 23.9634 °C

Step-by-step explanation:

a. Compute the least-squares line for predicting warping from temperature. Round the answers to four decimal places.

We need to find an equation of the form

y = b + mx

where m is the slope and b the Y-intercept.

The slope m can be computed with the formula

$\bf m=\displaystyle\frac{\displaystyle\sum_{i=1}^n(x_i-\bar x)(y_i-\bar y)}{\displaystyle\sum_{i=1}^n(x_i-\bar x)^2}$

Replacing the values in our formula (we will round at the end of the calculations)

$\bf m=\displaystyle\frac{806.94}{98,775}=0.008169476$

the Y-intercept b is computed with the formula

$\bf b=\bar y-m\bar x$

therefore we have

$\bf b=0.5188-0.008169476*26.36=0.303452613$

and the least-squares line rounded to 4 decimals would be

y = 0.3035 + 0.0082x

b. Predict the warping at a temperature of 40°C. Round the answer to three decimal places.

We simply replace x with 40 to get

y = 0.3035 + 0.0082*40 = 0.6315 mm

c. At what temperature will we predict the warping to be 0.5 mm? Round the answer to two decimal places

Here, we replace y with 0.5 and solve for x

0.5 = 0.3035 + 0.0082x ===> x = (0.5-0.3035)/0.0082 ===>

x = 23.9634 °C

6 0

4 years ago

Write the equation of a line, in slope-intercept form, that has a slope of m=9 and passes through the point (4, 31) .

Zinaida [17]

Answer:

$\sf y=9x-5$

Step-by-step explanation:

$\begin{aligned}&\sf y-y_1=m(x-x_1) \\&\sf y-31=9(x-4) \\&\sf y-31=9x-36 \\&\sf y=9x-36+31 \\&\boxed{\sf y=9x-5} \end{aligned}$

6 0

3 years ago

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