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3 years ago

What is the slope of the linear function? -3 3 -1/3 1/3

Mathematics

1 answer:

Anarel [89]3 years ago

7 0

Answer:

Step-by-step explanation:

The formula of a slope:

$m=\dfrac{y_2-y_1}{x_2-x_1}$

From the graph we have two points A(-1, 2) and B(0, -1).

Substitute:

$m=\dfrac{-1-2}{0-(-1)}=\dfrac{-3}{1}=-3$

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Janna is using her calculator to convert 19/6 to a decimal. The calculator displays 3. 1666666. What could Janna assume from the

Usimov [2.4K]

Answer:

That it continues as 6 for ever

Step-by-step explanation:

6 0

3 years ago

In ΔHIJ, the measure of ∠J=90°, the measure of ∠I=29°, and JH = 88 feet. Find the length of IJ to the nearest tenth of a foot.

Nitella [24]

We have been given that in ΔHIJ, the measure of ∠J=90°, the measure of ∠I=29°, and JH = 88 feet. We are asked to find the length of IJ to the nearest tenth of a foot.

First of all, we will draw a right triangle using our given information as shown in the attachment.

We can see that in triangle HIJ, the side IJ is adjacent side to angle I and JH is opposite side to angle I.

We know that tangent relates opposite side of right triangle to adjacent side.

$\text{tan}=\frac{\text{Opposite}}{\text{Adjacent}}$

$\text{tan}(29^{\circ})=\frac{88}{IJ}$

$IJ=\frac{88}{\text{tan}(29^{\circ})}$

$IJ=\frac{88}{0.554309051453}$

$IJ=158.7562024638191237$

Upon rounding to nearest tenth, we will get:

$IJ\approx 158.8$

Therefore, the length of the side IJ is approximately 258.8 units.

5 0

4 years ago

Read 2 more answers

Juan is three times as old as Gabe and Gabe is six years older than Catherine. If the sum of their ages is 149, how old is each

cestrela7 [59]

Answer:

Juan = 93 years.

Gabe = 31 years.

Catherine = 25 years.

Step-by-step explanation:

Let the age of Juan = J

Let the age of Gabe = G

Let the age of Catherine = C

Translating the word problem into an algebraic equation, we have;

$J = 3G$ ..........equation 1

$G = C + 6$ ........equation 2

$J + G + C = 149$ ........equation 3

We would solve the linear equations by using the substitution method;

Substituting equation 2 into equation 1;

$J = 3(C + 6)$

$J = 3C + 18$ ........equation 4

Substituting equation 2 and equation 4 into equation 3;

$(3C + 18) + (C + 6) + C = 149$

Simplifying the equation, we have;

$5C + 24 = 149$

$5C = 149 - 24$

$5C = 125$

$C = \frac {125}{5}$

C = 25 years.

To find G; from equation 2

$G = C + 6$

Substituting the value of "C" into equation 2, we have;

$G = 25 + 6$

G = 31 years.

To find J; from equation 1

$J = 3G$

Substituting the value of "G" into equation 1, we have;

$J = 3 * 31$

J = 93 years.

Therefore, Juan is 93 years old, Gabe is 31 years old and Catherine is 25 years old.

4 0

3 years ago

A local weather enthusiast wants to see if the last five summers have been warmer than normal for eloy, arizona. from the nation

motikmotik

For the local weather of Eloy, Arizona, the average for the last five years fits with the 30-year average.

<h3>What do you mean by standard deviation?</h3>

In statistics, Standard deviation is a measure of the variation of a set of values.

σ = standard deviation of a population

N = number of observations of population

X = mean

μ = population mean

The 30-year average for July was 90°. The standard deviation for this average is 2.1°. Thus, the temperature lies in the range around of 90° in July.

Therefore, the range of the temperature is,

t = 90 - 2.1 = 87.9

t = 90 + 2.1 = 92.1

The last five summers recorded have an average of 93. 5° and the value of a is 5%. Thus, the reduction is,

t = 92 - (92 x 2.5/100)

t = 89.70

This value of temperature lies in the range of 87.9-92.1 degrees Celsius. Hence, the two averages are probably the same.

Hence, for the local weather of Eloy, Arizona, the average for the last five years fits with the 30-year average. Option D is correct.

Learn more about the standard deviation here;

brainly.com/question/19243813

8 0

2 years ago

3 to the third power minus 2 times 3 plus 5

Dahasolnce [82]

Answer: 26

Step 1

$27-(2)(3)+5$