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cestrela7 [59]
3 years ago
7

Help please thank you

Mathematics
1 answer:
anzhelika [568]3 years ago
4 0

Answer:

g(1) = -6

Step-by-step explanation:

g(x) = -2x^2 - 4x

You want to solve for g(1). To do this make every x value in the original equation become 1.

g(1) = -2(1)^2 - 4(1)

Evaluate the exponent.

g(1) = -2(1) - 4(1)

Multiply.

g(1) = -2 - 4

Subtract.

g(1) = -6

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Natalie has 500 candy bars to sell for a fundraiser. Let C be the number of candy bars. Let P be the amount made from selling th
Contact [7]

1. Writing p as a function of c gives

P =2c-250

Where C is the number of candy bar

P is the number of candy bar sold.

2. This is expressed as

0 =< C <= 250

3. This is expressed as

0 =< C =< 250

4. Amount made from selling candy bar in the set of interger between 0 to 500

C is given as 500

From the equation P=2C-250

P=2×500-250

P=1000-250 =750.

P=750

5. Amount made selling candy bar for the set of real numbers between 0 and 250

C is equal to 250

From the equation, we have

P=2×250-250

P=500-250 =250.

4 0
2 years ago
1. Based on the information given, can you determine that the quadrilateral must be a
zhenek [66]

<u>Solving Q1: Given BE = ED and AE = EC.</u>

Considering triangles ΔAED and ΔCEB;

1. AE = EC (given)

2. ∠AED = ∠CEB (vertical angles)

3. ED = EB (given)

ΔAED ≡ ΔCEB (Side-Angle-Side congruency of triangles)

∠DAE = ∠BCE and AD = BC (using CPCTC)

⇒ AD║BC (Converse of Alternate Interior angles theorem)


Similarly consider triangles ΔABE and ΔCDE;

1. AE = CE (given)

2. ∠BEA = ∠DEC (vertical angles)

3. BE = DE (given)

ΔABE ≡ ΔCDE (Side-Angle-Side congruency of triangles)

∠ABE = ∠CDE and AB = CD (using CPCTC)

⇒ AB║CD (Converse of Alternate Interior angles theorem)


Since we have AB║CD, AB = CD and AD║BC, AD = BC.

Therefore, quadrilateral ABCD is a parallelogram.

****************************************************************************************************

<u>Solving Q2: The parallelogram has the angle measures shown in the diagram.</u>

It is clearly visible that both the triangles are Isosceles triangles, so opposite sides in each triangle are equal.

Consider two triangles given in the problem, we have two sets of congruent angles and one included side is common in both triangles.

Using Angle-Side-Angle congruence of triangles, both the triangles would be congruent too.

Using CPCTC, we can say opposite sides of quadrilateral would be congruent.

Therefore, all sides in given quadrilateral are equal.

Hence, Given quadrilateral is a Rhombus.

7 0
2 years ago
the margins of a page are usually expressed in decimal parts of an inch. Using the given​ figure, how long is each typed line on
Marta_Voda [28]
The answer is .5 of an inch
7 0
3 years ago
The black figure is an ellipse
mash [69]
There is no figure here
8 0
2 years ago
What are the coordinates of P' if P (-5,-4) undergoes a dilation, centered at the origin, with a scale factor of K=2?
Margaret [11]

Answer:

P' = (-10,-8)

Step-by-step explanation:

Given

P = (-5,-4)

k =2

Required

Determine the image P'

P' is calculated by multiplying P and k.

i.e.

P' = P * k

This gives:

P' = (-5,-4) * 2

P' = (-5* 2,-4* 2)

P' = (-10,-8)

<em>Hence, the image P' after dilating P is (-10,-8)</em>

7 0
2 years ago
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