Why is ΔABC ~ ΔDEC? Use the drop-down menus to explain your answer. Why is ΔABC ~ ΔDEC? Use the drop-down menus to explain your answer.

Using the Leading Coefficient Test the end behavior of the graph of the given polynomial function f(x) = 6x^5 + 7x³ - x + 5 is

The end behavior of function typically says the characteristics of the function at the ends.

The given function is:

f(x) = 6x^5 +7x³ - x + 5

The end behavior is determined by the leading Coefficient =  6x^5 and it is described as

x ⇒ ∞ f(x) ⇒ ∞

x ⇒ -∞ f(x) ⇒ -∞

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Answer:

translation

Step-by-step explanation:

Answer:

5 is the answer

Step-by-step explanation:

hope this helps

Answer:

b,d,e are not polynomials

Step-by-step explanation:

b) It is not a polynomial because y has negative power.

Polynomial have only whole numbers as power

d) It is not a polynomial because power of x is 1/2

\(\sqrt{x}=x^{\dfrac{1}{2}}\)

e) It is not a polynomial.

Yes, 7/56 and 6/48 are proportional because 7×48 = 56×6. Therefore, the correct answer is option B.

Given that, a truck needs 7 gallons of fuel to travel 56 miles.

The truck travel 48 miles with 6 gallons of fuel.

Here, the proportion is

7:56::6:48

We know that, the proportion is product of extremes = product of means

7×48 = 56×6

336 = 336

Therefore, the correct answer is option B.

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The vertex οf the parabοla is at the pοint (-3/2, -21/4) and the range οf the functiοn wοuld be (-21/4, infinity).

A quadratic functiοn is a functiοn οf the fοrm  where a, b, and c are cοnstants, and a is nοt equal tο 0. It is a type οf pοlynοmial functiοn that can be graphed as a parabοla, which is a symmetric curve that οpens either upwards οr dοwnwards.

Given the table οf pοints fοr the cοntinuοus quadratic functiοn h(x), we can find the vertex and range οf the functiοn. Since the functiοn is quadratic and cοntinuοus, it can be represented in the standard fοrm \($f(x)=a(x-h)^{2}+k,$\), where (h, k) is the vertex οf the parabοla.

Tο find the vertex, we can use the fact that the x-cοοrdinate οf the vertex is given by -b/2a, where a and b are the cοefficients οf the quadratic term and the linear term, respectively. In this case, a = 1 (since the functiοn is cοntinuοus and quadratic), and b can be fοund using any twο pοints οn the parabοla:

\(\rm b=(h(x_2)-h(x_1))/(x_2-x1)=(4-7)/(-2+1)=3$\)

Therefοre, the x-cοοrdinate οf the vertex is x = -b/2a = -3/2. Tο find the y-cοοrdinate οf the vertex, we can evaluate the functiοn at this value οf x:

\($\rm h(-3/2)=(1)(-3/2-h)^{2}+k$\)

Tο sοlve fοr k, we can use οne οf the pοints οn the parabοla, say (-6, 12):

\($12=(1)(-6-h)^{2}+k\,$\)

Expanding and simplifying, we get:

\($12=(h-6)^{2}+k$\)

Substituting -3/2 fοr h, we get:

\($\begin{array}{l}{{12=(-(3/2)-6)^{2}+k}}\\\\ {{12=81/4+k}}\\\\ {{k=-21/4}}\end{array}$\)

Therefοre, the vertex οf the parabοla is at the pοint (-3/2, -21/4).

Tο find the range οf the functiοn, we can lοοk at the shape οf the parabοla. Since the cοefficient οf the quadratic term is pοsitive, the parabοla οpens upwards, and the vertex is the lοwest pοint οn the graph. Therefοre, the range οf the functiοn is all real numbers greater than οr equal tο the y-cοοrdinate οf the vertex, which is -21/4. In interval nοtatiοn, we can write the range as (-21/4, infinity).

Hence, the vertex οf the parabοla is at the pοint (-3/2, -21/4) and the range οf the functiοn wοuld be (-21/4, infinity).

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To find the slope, we can use the slope formula

m = (y2-y1)/ ( x2-x1)

where (x1,y1) is a point on the line and ( x2,y2) is another point on the line

We have points(0,0) and ( 2,8)

m = ( 8-0)/(2-0)

= 8/2

= 4

Answer:

Step-by-step explanation:

The graph of P approaches -∞from the left and +∞ from the right of the asymptote

Answer:

48/52

Step-by-step explanation:

Answer:

9.95h + 5  ≤ 125

Step-by-step explanation:

let 'h' = number of hats

The unknown angle measures are d = 76, c = 53, a = 51 and b = 76

From the question, we have the following parameters that can be used in our computation:

The lines

The sum of angles on a line is 180

So, we have

b = 180 - 51 - 53

b = 76

By vertical angle theorems, we have

d = 76

c = 53

a = 51

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Answer: At that rate, after 50 seconds she will have walked 166.5 meters.

Step by step solution:

Her walk rate is 3.33 meters per second.

After 50 seconds

Answer:

it says that I have to download it.

Answer:

The null hypothesis cannot be rejected since the test statistic is approximately t = .20,which is not in the rejection region.

Step-by-step explanation:

Data: 14.25, 13.7, 14.02,  14.13, 13.99, 14.0

Mean = \(\frac{Sum}{n}=14.015\)

Standard deviation =\(\sqrt{\frac{\sum(x-\bar{x})^2}{n}}=0.1836\)

Claim : Average number of fluid ounces in the cup should be 14.

Null hypothesis : \(H_0:\mu = 14\)

Alternate hypothesis :\(H_a:\mu \neq 14\)

n = 6

\(t = \frac{x-\mu}{\frac{s}{\sqrt{n}}}\\t=\frac{14.015-14}{\frac{0.1836}{\sqrt{6}}}\\t=0.20\\\alpha = 0.05t_{df,\alpha}=t_{(5,0.05)}=2.571\)

t critical > t calculated

So, we failed to reject null hypothesis

So, Option B is true

Hence The null hypothesis cannot be rejected since the test statistic is approximately t = .20,which is not in the rejection region.

Answer:

-6-6/2-(-4)=-2

slope=-2

Step-by-step explanation:

Answer: Equilateral

Step-by-step explanation:

It's equilateral because it says that each side of the triangle is 4cm. In simple words, all the sides of triangle are equal. Such a triangle is called an equilateral triangle.

Hope you understood.

The restriction of the domain of the function will be y = (x - 2)², x ≥ 2. Then the correct option is B.

A statement, principle, or policy that creates the link between two variables is known as a function. Functions are found all across mathematics and are required for the creation of complex relationships.

Let the point (h, k) be the vertex of the parabola and a be the leading coefficient.

Then the equation of the parabola will be given as,

y = a(x - h)² + k

Then the parabolic function is given below.

y = (x - 2)²

The restriction of the domain will result in the inverse being a function given as,

x - 2 ≥ 0

x ≥ 2

The restriction of the domain of the function will be y = (x - 2)², x ≥ 2. Then the correct option is B.

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Answer:

There are 40 apples in the basket.

This is because 5 apples to 3 pears have a difference of 1.66666667 when dividing 5 by 3 to show the ratio difference. Then, all you do is multiply this number by the number of total pears which would look like 24 x 1.66666667 = 40.

I hope this helped you, have an amazing day! :)

Answer:

x=55 y=70 j=110

Step-by-step explanation:

Answer:

x=55°

y=70°

Step-by-step explanation:

x=55°

y=180-55-55=70°

Answer:

Step-by-step explanation:

PRICES COUNTS COSTS

8 e 8e

10 420-e-t 10(420-e-t)

12 t 12t

420 3920

system%28e%2B420-e-t=5t%2C8e%2B10%28420-e-t%29%2B12t=3920%29

First equation gives highlight%28t=70%29.

Second equation simplifies to e-t=140.

Substitution gives highlight%28e=210%29.

Quantity of $10 tickets by difference, highlight%28140%29

Answer:

(-1,4)

Step-by-step explanation:

to find out we just fill in the values to see if it’s true

(x,f(x))

4=-1^2+3

4=1+3

4=4

True

-4=-1^2+3

-4=1+3

-4=4

Not true

-4=1^2+3

-4=1+3

-4=4

Not true

-1=-4^2+3

-1=16+3

-1=19

Not true

Hopes this helps please mark brainliest

Answer:

The height of the triangle would be

5

√

15

c

m

or

19.36

c

m

Step-by-step explanation:

Option 2

-3.5, -1/4, 1/3,2

Must click thanks and mark brainliest

Answer: Second option

-3.5 is less than -1/4 (1/4 = -0.25)

-1/4 is less than 1/3 (1/3 = 0.33)

1/3 is less than 2

a) Angle of line of sightFrom a point O in the school compound, Adeolu is 100 m away on a bearing N 35° E and Ibrahim is 80 m away on a bearing S 55° E. (a) How far apart are both boys? (b) (c) What is the bearing of Adeolu from point O, in three-figure bearings? What is the bearing of Ibrahim from point O, in three-figure bearings?The angle of the line of sight of Adeolu from the point O is given by:α = 90 - 35α = 55°.The angle of the line of sight of Ibrahim from the point O is given by:β = 90 - 55β = 35°.a) By using the Sine Rule, we can determine the distance between Adeolu and Ibrahim as follows:$

\frac{100}{sin55^{\circ}} = \frac{80}{sin35^{\circ}

100 sin 35° = 80 sin 55°=57.73 mT

herefore, both boys are 57.73 m apart. b) The bearing of Adeolu from the point O can be determined as follows:OAN is a right-angled triangle with α = 55° and OA = 100. Therefore, the sine function is used to determine the side opposite the angle in order to determine AN.

Thus:$$sin55^{\circ} = \frac{AN}{100}$$AN = 80.71 m.

To find the bearing, OAD is used as a reference angle. Since α = 55°, the bearing is 055°.

Therefore, the bearing of Adeolu from the point O is N55°E. c) Similarly, the bearing of Ibrahim from the point O can be determined as follows:OBS is a right-angled triangle with β = 35° and OB = 80. Therefore, the sine function is used to determine the side opposite the angle in order to determine BS.

Thus:$$sin35^{\circ} = \frac{BS}{80}$$BS = 46.40 m.

To find the bearing, OCD is used as a reference angle. Since β = 35°, the bearing is 035°.Therefore, the bearing of Ibrahim from the point O is S35°E. A boy walks 5 km due North and then 4 km due East. (a) Find the bearing of his current posi- tion from the starting point.

(b) How far is the boy now from the start- ing point?The boy's position is 5 km North and 4 km East from his starting position. The Pythagorean Theorem is used to determine the distance between the two points, which are joined to form a right-angled triangle. Thus

:$$c^2 = a^2 + b^2$$

where c is the hypotenuse, and a and b are the other two sides of the triangle. Therefore, the distance between the starting position and the boy's current position is:$$

c^2 = 5^2 + 4^2$$$$c^2 = 25 + 16$$$$c^2 = 41$$$$c = \sqrt{41} = 6.4 km$$

Therefore, the boy is 6.4 km from his starting point. (a) The bearing of the boy's current position from the starting point is given by the tangent function.

Thus:$$\tan{\theta} = \frac{opposite}{adjacent}$$$$\tan{\theta} = \frac{5}{4}$$$$\theta = \tan^{-1}{\left(\frac{5}{4}\right)}$$$$\theta = 51.34^{\circ}$$

Therefore, the bearing of the boy's current position from the starting point is N51°E.

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Answer: 1/8

Step-by-step explanation:

First make the bottom half the same:

3/4*2/2=6/8

We don’t need to change the first portion since they have a common factor

7/8-6/8=1/8

Answer:

There are 210 blue counters in the bag. To find this, first use the fact that the probability of choosing a red counter from the bag is 0.3 to find the total number of counters in the bag: 0.3 = 90 / N, where N is the total number of counters. Solving for N, we find that N = 300. Since there are 90 red counters in the bag, there must be 300 - 90 = 210 blue counters in the bag.

Step-by-step explanation:

Explanation

We are asked to identify the terms and coefficients of the expression

To do so, we have the definition

An expression comprises the terms, factors, and coefficient. The terms are the numbers or the variables added together, factors are the numbers or the variables that are multiplied together and the coefficient is the number multiplied to the variable.

For the given question

The image below shows the different parts of the expression

Answer:

$3.55

Step-by-step explanation:

1st number after 0 is tenths, 2nd is hundredths.

since the number after is 5, we round up