1. Consider the equation 2 x e x + = . This equation has a solution close to x = 0 .
a. Determine the linear approximation, L x( ), of the left-hand side of the equation about
x = 0 . (2)
b. Use L x( ) to approximate the solution of the equation 2 x e x + = . (2)

Step-by-step explanation:

so your points are going to be as follows, starting with the left-most point.

(-1, 7)

(0, 4)

(1, 3) [this is the vertex]

(2, 4)

(3, 7)

Answer:

attached image

Step-by-step explanation:

Reference function:

y = x^2

Translated function:

y = a(x - h)^2 + k

k is vertical translation (up if positive or down if negative)

3 in your formula so it move up 3

h is horizontal translation (left if positive or right if negative)

1 in your formula so shifted 1 to the right horizontal translation

a is the vertical scaling

it can be either compressed (more narrow) or streched (wider)

a < 0 the graph is either stretched or compressed and also reflected about the x -axis

none in your formula

Answer:

Shanice ran 42 miles.

Step-by-step explanation:

Answer: Qualititative, Nominal and Categorical

Explanation:

The variable is qualitative since it does not involve numerical data (i.e. numbers). Rather we're dealing with names or labels.

Since names or labels are involved, and there isn't really inherent order to them, we consider this qualitative data to be nominal.

We can also consider it categorical since each label is a category.

Answer:

(5,5) Remember, the bottom line always goes first since it is the X axis, and the one going up and down goes second because it is the Y axis :D

Step-by-step explanation:

Answer:

$1,200

Step-by-step explanation:

$15 x 20 = $300/week; $300 x 4 weeks = $1,200

Answer:

A.)$1,200 a month

Step-by-step explanation:

it's the same as before. but, if you're looking for multiple weeks, just do the same thing, but multiply it by how many weeks there are. Ex. $15 an hour times 20 hours is $300, and there are 4 weeks in a month, so you would multiply it by 4 to get $1,200

Answer:

y= between 9-10 patients, round down to 9

Step-by-step explanation:

y= 9/4x + 5

y = 9/4(2) + 5

y = 9.5

y= between 9-10 patients, round down to 9

Answer:

16.1 cm (nearest tenth)

Step-by-step explanation:

Pythagoras’ Theorem

[tex]a^2+b^2=c^2[/tex]

(where a and b are the legs, and c is the hypotenuse, of a right triangle)

Given:

Substitute the given values into the formula and solve for c:

[tex]\implies 16^2+2^2=c^2[/tex]

[tex]\implies 256+4=c^2[/tex]

[tex]\implies c^2=260[/tex]

[tex]\implies c=\sqrt{260}[/tex]

[tex]\implies c=2\sqrt{65}[/tex]

[tex]\implies c=16.1 \sf \: cm\:(nearest\:tenth)[/tex]

16.1 is rounded to the nearest tenth

Answer:

Hi!

The slope of the line is marked as rise over run and in slope intercept form it is mx. We can tell from the way the line is slanting that it is a positive slope. It goes up 1, over 6. So therefore, the slope is 1/6.

The y intercept of the line is -4, which we know because that is where the line and the y axis meet. The y intercept is b in slope intercept form.

The slope intercept form is y = 1/6x -4.

For standard form, we subtract 1/6x from both sides to get

-1/6x + y = -4

Hope this helps!

Step-by-step explanation:

[tex]\text{In}~ \triangle ABC,\\\\~~~~~~~~\sin 45^{\circ} =\dfrac{BC}{AC} \\\\\implies \dfrac 1{\sqrt 2} = \dfrac{BC}{6\sqrt 2}\\\\\\ \implies BC= 6\\\\\text{Now, In}~ \triangle BCD\\\\~~~~~~\cos 60^{\circ} = \dfrac{BD}{BC}\\\\\ \implies \dfrac 12 = \dfrac{x}{6}\\\\\\\implies x = \dfrac 62\\\\\\\implies x = 3[/tex]

Answer:

x = 3

Step-by-step explanation:

using the sine ratio in right triangle ABC and the exact value

sin45° = [tex]\frac{1}{\sqrt{2} }[/tex] , then

sin45° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{BC}{AC}[/tex] = [tex]\frac{BC}{6\sqrt{2} }[/tex] = [tex]\frac{1}{\sqrt{2} }[/tex] ( cross- multiply )

BC × [tex]\sqrt{2}[/tex] = 6[tex]\sqrt{2}[/tex] ( divide both sides by [tex]\sqrt{2}[/tex] )

BC = 6

using the cosine ratio in right triangle BCD and the exact value

cos60° = [tex]\frac{1}{2}[/tex] , then

cos60° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{BD}{BC}[/tex] = [tex]\frac{x}{6}[/tex] = [tex]\frac{1}{2}[/tex] ( cross- multiply )

2x = 6 ( divide both sides by 2 )

x = 3

Answer:

graph c

Step-by-step explanation:

it's coordinate (0,2) satisfy the equation

Answer:

The correct answer is graph A.

The Sam's height after 1 second, form the equation of pathway of Sam's dive into the swimming pool is 11 feet.

The equation of motion is the relation between the distance, velocity, acceleration and time of a moving body.

The pathway of Sam's dive into the swimming pool can be represented by the equation,

[tex]h = -16t^2 + 15t + 12[/tex]

(where t = time in seconds and h = height in feet)

The Sam's height after 1 second is,

[tex]h = -16t^2 + 15t + 12\\h = -16(1)^2 + 15(1) + 12\\h=-16+15+12\\h=11\rm\; ft[/tex]

Thus, the Sam's height after 1 second, form the equation of pathway of Sam's dive into the swimming pool is 11 feet.

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Answer:

flip it around 9/13 reciprocal would be 13/9

Angle 1 and angle 4 are corresponding angles, meaning that they are in the same relative position on their line.

Corresponding angles are congruent, which means angles 1 and 4 are congruent (equal to each other).

Angle 1 = Angle 4

74 = 3x - 18

92 = 3x

x = [tex]30 \frac{2}{3}[/tex]

---Rounded to the nearest tenth: 30.7

---Rounded to the nearest hundredth: 30.67

---Rounded to the nearest thousandth: 30.667

Hope this helps!

Answer:

Step-by-step explanation:

3x - 18 = 74

3x = 92

x ≈ 30 2/3

Answer:

1/125,000

Step-by-step explanation:

8/1,000,000 =

4/500,000 =

2/250,000 =

1/125,000 =

0.000008 (just in case)

Answer:

m<ZB is 36 degrees

Step-by-step explanation:

Since they are vertical angles, they are congruent. U set up the equation like this “2x+26=3x+21” and solve for x

subtract 2x from both sides and you’ll get “26=x+21”

subract 21 from both sides and you’ll get “5=x”

now we substitute x for 5!

3(5)+21=

15+21=

36

So m<ZB is 36 degrees!

ur welcome :)

hope i helped

brainliest please?

Answer:

= CL : SL

= 28 cm : 20 cm

= 1,4 cm

[tex]\begin{gathered}\begin{gathered}\begin{gathered}\color{magenta}{\rule{10pt}{20pt}}\purple{\rule{10pt}{20pt}}\red{\rule{10pt}{20pt}}\orange{\rule{10pt}{20pt}}\color{yellow}{\rule{10pt}{20pt}}\color{lime}{\rule{10pt}{20pt}}\color{green}{\rule{10pt}{20pt}}\color{blue}{\rule{10pt}{20pt}}\color{indigo}{\rule{10pt}{20pt}}\color{violet}{\rule{10pt}{20pt}}\color{aquamarine}{\rule{10pt}{20pt}} \\\color{magenta}{\rule{10pt}{20pt}}\purple{\rule{10pt}{20pt}}\red{\rule{10pt}{20pt}}\orange{\rule{10pt}{20pt}}\color{yellow}{\rule{10pt}{20pt}}\color{lime}{\rule{10pt}{20pt}}\color{green}{\rule{10pt}{20pt}}\color{blue}{\rule{10pt}{20pt}}\color{indigo}{\rule{10pt}{20pt}}\color{violet}{\rule{10pt}{20pt}}\color{aquamarine}{\rule{10pt}{20pt}}\end{gathered}\end{gathered}\end{gathered}[/tex]

Answer:

x = 1331

Step-by-step explanation:

Squaring both sides :

Using it's concept, it is found that the coefficient of the mathematical expression 7m² + 2(19) is of 7.

The leading coefficient of a polynomial is the term that multiplies the highest exponent.

In this problem, the expression is given by:

7m² + 19.

The highest exponent is of 2, in m², hence the leading coefficient is of 7.

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Answer:

t = time

42 + 8.8t < 112.40

8.8t < 70.4

pls mark as brainliest

Answer: t = 4

Step-by-step explanation:

(x) - (y) = (t)

78.00 - 41.00 = 37.00

7.40 x 5 = 37

t = 4

Any amount of time under 5 hours would work.

Answer:

2/3

Step-by-step explanation:

p(B/A)=[P(A&B)]/p(A)

2/3=[P(A&B)]/(1/2)

P(A&B)=2/3 *1/2=1/3

P(A&B)=P(A)*P(B)

1/3=1/2*P(B)

P(B)=1/3*2/1=2/3

Answer:

4.5 step by step

Step-by-step explanation:

6 × 6 = 36 ÷ 8 = 4.5

Answer:

Decrease of 43.75% in area

Step-by-step explanation:

Finding Side Length of Q :

⇒ Side Length P (100% - 25%)

⇒ 75 % x Side Length O

⇒ 0.75 x 12 cm

⇒ 9 cm

Area of Squares P and Q :

⇒ Area (Square P) = (12)²

⇒ Area (Square P) = 144 cm²

⇒ Area (Square Q) = (9)²

⇒ Area (Square Q) = 81 cm²

% Decrease :

⇒ New - Original / New

⇒ 81 - 144 / 144

⇒ -63/144

⇒ -21/48

⇒ -7/16

⇒ -0.4375

⇒ Decrease of 43.75% in area

Answer:

B, C, and D

Step-by-step explanation:

Hey there!

In order to find if the area of these shapes are 24, we need to first find the area

A. Triangle: Base of 8 feet, Height of 3 feet

Formula for area of triangle: Base x height x 1/2

8 x 3 x 1/2 --> 24 x 1/2 --> 12

Not an answer

B. Rectangle: Width of 4 feet, Length of 6 feet

Formula for area of rectangle: Length x width

4 x 6 --> 24

It is an answer

C. Parallelogram: Base of 12 feet, Height of 2 feet

Formula for area of Parallelogram: Base x height

12 x 2 --> 24

It is an answer

D. Triangle: Base of 6 feet, height of 8 feet

Formula for area of triangle: Base x height x 1/2

6 x 8 x 1/2 --> 48 x 1/2 --> 24

It is an answer

In conclusion, the statements that make this rule true are:

B, C, and D

Answer:

parallelogram

Step-by-step explanation:

Quadrilateral with two pairs of parallel sides of equal length that is not a sqaure = parallelogram

If Louis needs to secure his tent. He will use a rope to go down the edge of the tent, straight out to a post and back to the starting think fastener then total length of rope is 36 ft.

Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.

Given that Louis needs to secure his tent.

He will use a rope to go down the edge of the tent, straight out to a post and back to the starting think fastener

We have to find the length of the rope by using pythagoras theorem

12²+9²=x²

144+81=x²

225=x²

Take square root on both sides

x=√225

x=15

The total length is 12+9+15=36 ft

Hence, if Louis needs to secure his tent. He will use a rope to go down the edge of the tent, straight out to a post and back to the starting think fastener then total length of rope is 36 ft.

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Answer:

Choice D is the answer

Step-by-step explanation:

| 7 | - | 2 | = -5

7 - 2 ≠ -5

Hope this helps