Amanda placed her finger on the origin of a regular coordinate plane. She marked a point after moving her finger 1 unit to the left and 5 units down. What is the order pair of the point that Amanda marked?

Question 1 options:

(1, -5)


(1, 5)


(-1, 5)


(-1, -5)

The function [tex]$$f(x)= \begin{cases}1-x^2 & x \leqslant 1 \\ \ln (x) & x \geqslant 1\end{cases}$$[/tex]  is continuous on (-∞, ∞).

As per the given data the function f(x) is given by:

[tex]$$f(x)= \begin{cases}1-x^2 & x \leqslant 1 \\ \ln (x) & x \geqslant 1\end{cases}$$[/tex]

Here we have to determine that the function f(x) is continuous on (-∞, ∞)

If we show that f(x) is continuous at x = 1 then f(x) is continuous on (-∞, ∞)

What are continuous function?

A continuous function in mathematics is one where changes in the parameter cause constant changes in the function's value (i.e., a change without a leap). This shows that there are no abrupt changes in value or discontinuities.

To show f(x) is continuous at x = 1

[tex]\lim _{x \rightarrow 1^{-}} f(x)=\lim _{x \rightarrow 1^{+}}[/tex] f(x)

[tex]\rightarrow \lim _{x \rightarrow 1^{-}} f(x) & =\lim _{x \rightarrow 1^{-}}\left(1-x^2\right) \\[/tex]

= 1 - 1

= 0

[tex]\lim _{x \rightarrow 1^{+}} f(x) & =\lim _{x \rightarrow 1^{+}} \ln (x) \\[/tex]

= ln 1

= 0

Therefore  [tex]\lim _{x \rightarrow 1^{+}} f(x) & =\lim _{x \rightarrow 1^{-}} f(x)-0[/tex].

Hence f(x) is continuous on (-∞, ∞)

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The graph from the function is a linear graph

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

g(x)=(x+2)(x−1)−x 2

Express properly

So, we have the following representation

g(x) = (x + 2)(x − 1) − x²

Next, we set x = 0, 1, 2 and 3 to determine the table of values

g(0) = (0 + 2)(0 − 1) − (0)² = -2

g(1) = (1 + 2)(1 − 1) − (1)² = -1

g(2) = (2 + 2)(2 − 1) − (2)² = 0

g(3) = (3 + 2)(3 − 1) − (3)² = 1

So, the table is

x        0         1        2        3

g(x)     -2      -1        0        1

From the table above, we can see that as x increases by 1, y constantly increase by 1

This means that the function is a linear function

See attachment for the graph

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Answer:

192 mi

2,304 mi²

Step-by-step explanation:

actual side length = 8×6 = 48 mi

so, perimeter of square = 4 × 48 = 192 miles

the area of square = 48×48 = 2,304 sq miles

Answer:

332 chocolate cupcakes.

Step-by-step explanation:

17% of 400 = 68

400 - 68 = 332

Answer:

y= 12

Step-by-step explanation:

3(-12)-24

-36-24

-12

On solving the provided question, we can say that the sequence what we tell on day 3 = he sold 5; on day 4 = he sold 7; on day 5 = he sold 9

A collection of numbers, or "terms," is referred to as a sequence. Examples of terms are 2, 5, and 8. Some sequences can be made endlessly lengthy by taking advantage of a particular pattern they follow. Use the example of 2,5,8 and add 3 to continue the sequence. There are formulas that demonstrate where to look for words within a sequence. A collection of objects that are in some order is known as a sequence in mathematics (or events). It resembles a set in that it contains pieces (also called elements or terms). The entire, perhaps infinite number of ordered objects are referred to as the sequence's length. the act of placing two or more items in a logical order. Chronological.

here,

on day 1 = he sold 1

on day 2 = he sold 3

on day 3 = he sold 5

on day 4 = he sold 7

on day 5 = he sold 9

.

.

.

.

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Answer:

7.7 x x/100 = 16

x100             x100

7.7x = 1,600

Divide by 7.7 on both sides:

X = 207.79 around 208

Answer:48.13%

Step-by-step explanation:

7.7÷16×100=48.125%

Rounded to nearest hundredth=48.13%

Answer:

x=7

Step-by-step explanation:

97 = 10x + 27

97 - 27 = 10x

70 = 10x

70/10 = x

7=x

Answer:

X=7

HOPE THIS HELPS

-Todo ❤️

Step-by-step explanation:

97=10x+27

-27. -27

70=10x

/10. /10

X=7

Answer:

It would be 166 degrees.

Step-by-step explanation:

Do 180-97 to get 83 degrees

Since the triangle is a isosceles triangle, the opposite side of it would also be 83 degrees, so 83+83

With this, do 180-83-83 to get 14 degrees for the third interior angle

Last, subtract this from 180 to get the value of x, 166 degrees.

Hope that helps.

Answer:

1.) The 1ˢᵗ three term is (-32), (-7) and 18

2.) The 1ˢᵗ three term is 127, 106 and 85

Step-by-step explanation:

Here,

First Term = a₁ = - 32

Common Difference = (d) = 25

Now, For 1ˢᵗ three term,

n = 1

a₁ = - 32

n = 2

aₙ = a + (n - 1)d

a₂ = (-32) + (2 - 1) × 25

a₂ = (-32) + 1 × 25

a₂ = (-32) + 25

a₂ = -7

n = 3

aₙ = a + (n - 1)d

a₃ = (-32) + (3 - 1) × 25

a₃ = (-32) + 2 × 25

a₃ = (-32) + 50

a₃ = 18

Thus, The 1ˢᵗ three term is (-32), (-7) and 18

Here,

First Term = a₁ = 127

Common Difference = (d) = -21

Now, For 1ˢᵗ three term,

n = 1

a₁ = 127

n = 2

aₙ = a + (n - 1)d

a₂ = 127 + (2 - 1) × (-21)

a₂ = 127 + 1 × (-21)

a₂ = 127 - 21

a₂ = 106

n = 3

aₙ = a + (n - 1)d

a₃ = 127 + (3 - 1) × (-21)

a₃ = 127 + 2 × (-21)

a₃ = 127 - 42

a₃ = 85

Thus, The 1ˢᵗ three term is 127, 106 and 85

-TheUnknownScientist

Answer:

207.24 in.

(This is not a rounded answer)

Step-by-step explanation:

So, this will be very fun, simple, and easy!

First thing we do is use this formula, A(s) = 2πrh + 2πr²

We don't know the surface area yet, and that's what we are looking for, so first off we go ahead and plug in the radius, which is 6 divided by 2, and that's 3! The height is 8 inches!

Let's plug in 3.14 for pie too.

A(s) = 2(3.14)3(8) + 2(3.14)3²

Let's start solving.

A(s) = 150.72 + 2(3.14)3²

3 squared is 9!

A(s) = 150.72 + 56.52

A(s) = 207.24 inches

So, the answer is...207.24 in.! THat is the correct answer, but if I'm wrong, please comment so I can change my answer! Thanks for the points, have a great day or else!

As a result, using the values provided, we can turn these data into a bar graph.

A graph is a type of non-linear data structure that consists of nodes, also called vertices, and edges. Any two edges can connect the nodes, which are also known as vertices in a graph. This graph's vertices are 1, 2, 3, and 5, while its edges are 1, 2, 1, 3, 2, 5, and 4, 50.

Here,

The gene contributes to the development of pigment.

Yes, factors such as temperature, light cycle, and the presence of mutagens can affect the color of the fur.

In the evolution chart, Mcl provided has ullets that it runs. In mature solutions, the dominating truit moderate is thus always present.

Therefore, using the supplied numbers, we may convert these data into a bar graph.

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The value should be added will be [tex]y = -4x^{2} +9x+6[/tex]

Now, According to the question:

Let the value y be added to  [tex]7x^2-5x+1[/tex] to give [tex]3x^2+4x+7[/tex]

y =  [tex]3x^2+4x+7[/tex] - ( [tex]7x^2-5x+1[/tex])

y = [tex]3x^{2} +4x+7-7x^{2} +5x-1[/tex]

Combine like terms:

y = [tex]3x^{2} -7x^{2} +4x+5x+7-1[/tex]

Calculate the subtraction and addition.

[tex]y = -4x^{2} +9x+6[/tex]

Hence, The value should be added will be [tex]y = -4x^{2} +9x+6[/tex].

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The complete question is this:

What should be added to  [tex]7x^2-5x+1[/tex] to get [tex]3x^2+4x+7[/tex] ?

Answer:

x = 5√2

Step-by-step explanation:

The triangle on the right is a special right triangle, so we know that the adjacent side to 60° is 5. Since the left triangle is a 45-45-90, the hypotenuse is the leg times √2, so the value of x is 5√2

The polygon presented will have nine sides. This suggests that a nonagon is the necessary polygon.

Divide the number of triangles in the polygon by 180° to determine the sum of its inner angles. Where is the number of sides, the formula for computing the sum of internal angles is (n 2) 180. In a regular polygon, all internal angles are equal.

The following are crucial polygon formulas: A polygon with "n" sides has a total interior angle sum of 180 degrees (n-2) A "n-sided" polygon has [n(n-3)]/2 diagonals. A regular n-sided polygon's internal angles are measured as [(n-2)180°]/n.

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Answer: The answer is C

Step-by-step explanation: i took the test and got it right

Answer:

y- intercept = 0

Step-by-step explanation:

the linear function can be expressed in slope- intercept form, that is

y = mx + c ( m is the slope and c the y- intercept )

calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁ , y₁ ) = (4, - 4) and (x₂, y₂ ) = (- 2, 2) ← 2 ordered pairs from the table

m = [tex]\frac{2-(-4)}{-2-4}[/tex] = [tex]\frac{2+4}{-6}[/tex] = [tex]\frac{6}{-6}[/tex] = - 1

the line crosses the y- axis at (0, 0 ) ⇒ c = 0

y = - x + 0, that is

y = - x ←  is the linear function defining the ordered pairs in the table

Answer:

2nd

Step-by-step explanation:

Answer:

Step-by-step explanation:

cos theta = (adjacent side) / (hypotenuse) = 1/6.  The adjacent side has length 1 and the hypotenuse length 6.  The opposite side has length

√(6^2 - 1^2) = ÷√35

and so sin theta = (opp side) / (hypotenuse) = (√35) / 6

and tan theta = [(√35) / 6] / (1/6), or √35

Answer:

Activity 1

1. a.8, b.4, c.8, d.12

2. a.10, b.8, c.20, d.40

3. a.16, b.9, c.40, d.27

Activity 2

1. a.10, b.40, c.15

2. a.4, b.35, c.14

3. a.80, b.20, c.2.5

Answer:

वि स्कुल माध्यामिक विद्यालय निम्न माध्यामिक विद्यालय व्यवस्थापन समिति सम्पादन र प्रकाशनमा बुटवलबाट निस्कने एक्सरे साप्ताहिकमा एक पटक साप्ताहिकमा छापिएको थियो। प्रकाशित

The population of the city grew from 2010 to 2020 by 13.37 %

A percentage is a number that tells us how much out of 100 and can also be written as a decimal or a fraction.

Given that, In 2010, the population of a city was 237,000. From 2010 to 2015, the population grew by 7.6%. From 2015 to 2020, it fell by 4.7%.

The population in 2015 =

A = P (1+r)ⁿ

A = final population.

P = Initial population.

r = rate

n = time

The population in 2015 =

A = 237,000(1+0.076)⁵

A = 341829.629

The population in 2020 =

A = P (1-r)ⁿ

A = 341829.629(1-0.047)⁵

A = 268704.047

Percent grow = 268704.047 - 237,000 / 237,000 × 100

= 31704.047 / 237,000 × 100

= 13.37 %

Hence, the population of the city grew from 2010 to 2020 by 13.37 %

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Answer:

I have a screenshot so here you go

Step-by-step explanation:

Answer:

1/4 is the answer

just multiply 1/2 x 1/2

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

1) x²=256-64

x=8√3

2). x²=200+81

x=√281

3). x²=169+36

x=√205

3).

Step-by-step explanation:

here's your solution

==> in figure 1,

= perpendicular^2 = hypotenuse^2 - base^2

= x^2 = 16^2 - 8^2

= x^2 = 256 - 64

= x^2 = 192

= x = √192

= x = 13.85

==> in figure 2,

= hypotenuse^2 = Perpendicular^2 + base^2

= x^2 = 40^2 + 9^2

= x^2 = 1600 + 81

= x^2 = 1681

= x = √1681

= x = 41

==> in figure 3,

= hypotenuse^2 = Perpendicular^2 + base^2

= x^2 = 13^2 + 6^2

= x^2 = 169 + 36

= x^2 = 205

= x = √205

= x = 14.31

[tex]hope \: it \: helps.....[/tex]

Answer:

x = 52

Step-by-step explanation:

128 + x = 180

180 - 128 = x

x = 52

Have a nice day!

If the coach buys the packs of Gummi Bears at $0.60 and resales them at $1 , then the percent markup for the candy is (d) 67% .

The price for which the Coach buys Gummi Bears is = $0.60 ;

the price at which the Coach resales them is = $1 ;

So , the Markup is the difference in the price of purchase and price of resale of the candy ,

that means ; the [tex]Markup = \$1 - \$0.60[/tex] ;

= $0.4

So , the Percent Markup is = [tex]\frac{0.4}{0.6} \times 100[/tex]

= 66.66666...

≈ 67% .

Therefore , the percent Markup for the Candy is 67% .

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the measure of the missing leg is 5.38

or 5.4

Step-by-step explanation:

s is for Squared

Cs= As+Bs

let's say 14cm was side a

Bs=Cs-As

Bs= 15s-14s

Bs=225-196

Bs=29

B= square root of Bs

B=5.38

Answer:

5.4

Step-by-step explanation:

c² = a² + b²

15² = 14² + b

225 = 196 + b

b = 225 - 196

= 29

= 5.4