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3 years ago

Given f(x) = –5x + 1, what is f(–2)?

1 answer:

3 0

F(x) = -5x + 1

f(-2) = -5(-2) + 1
f(-2) = 10 + 1
f(-2) = 11

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Answer: f(-2) = 11 (Answer C)
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Greta is trying to determine the portion of green candies in various bags of green and yellow candies. Using the information bel

IrinaK [193]

Answer: a) $\dfrac{1}{3}$ b) $\dfrac{71}{100}$ c) $\dfrac{5}{9}$

Step-by-step explanation:

Since we have given that

There are green and yellow candies in each bag.

Bag A: Two thirds of the candies are yellow. What portion of the candies is green?

Part of yellow candies in bag A = $\dfrac{2}{3}$

Part of green candies in bag A would be

$1-\dfrac{2}{3}\\\\=\dfrac{3-2}{3}\\\\=\dfrac{1}{3}$

Bag B: 29 % of the candies are yellow. What portion of the candies is green?

Percentage of candies are yellow = 29%

Portion of candies are green is given by

$1-\dfrac{29}{100}\\\\=1-0.29\\\\=0.71\\\\=\dfrac{71}{100}$

Bag C: 4 out of every 9 candies are yellow. What portion of the candies is green?

Portion of yellow candies = $\dfrac{4}{9}$

Portion of green candies would be

$1-\dfrac{4}{9}\\\\=\dfrac{9-4}{9}\\\\=\dfrac{5}{9}$

Hence, a) $\dfrac{1}{3}$ b) $\dfrac{71}{100}$ c) $\dfrac{5}{9}$

6 0

3 years ago

Plot the following points to create a rectangle.

Tanya [424]

Answer:

(5, -1)

Step-by-step explanation:

The three coordinates of a triangle are given as:

(5,3), (-5,3), (-5,-1).

To find:

The missing vertex = ?

Solution:

Let us label the vertices:

A (5,3),

B(-5,3),

C(-5,-1).

Let the missing vertex be ( $x, y$ ).

Let us recall the properties of a rectangle.

The <em>opposite sides</em> of the rectangle are equal and parallel to each other.

Let us consider the side AB, we can see that only x coordinate is changed from A to B.

Let us consider the side BC, we can see that only y coordinate is changed from B to C.

A and B are adjacent vertices.

Similarly the opposite vertices will be C and D.

Same pattern will be followed in CD as that of AB.

x coordinate will be changed by same difference as that of AB.

Change in x coordinate from D to C = $-5-x$

Change in x coordinate from A to B = $-5-5 =-10$

Equating them:

$-5-x=-10\\\Rightarrow x = 5$

Same pattern is followed in BC and AD.

Their change in y coordinate will be same.

$-1-3=y-3\\\Rightarrow y =-1$

Missing vertex is <em>(5, -1)</em>.

Please refer to the attached image for the rectangle.

3 0

4 years ago

If someone can explain this I will greatly appreciate it. I don’t really understand it.

erma4kov [3.2K]

Answer:

The second answer choice.

Step-by-step explanation:

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3 years ago

Donata bought 4 lemons and 4 plums at the local supermarket for a total of $ 21.60. Dan bought 11 lemons and 6 plums at the same

VashaNatasha [74]

you must establish a equation system with the information given , 4x numbers of limon , where x represent the cost of every lemon and 4y numbers of plums , where y represents the cost of plums
now the equation system is 1) 4x+ 4y = 21,60 and 2) 11x+ 6y = 40.29
of the equation 1 you must obtain the value of x, 4x = 21.60+4y ⇒x=21.60/4+4y/4⇒x= 5.4+y
now with the value of x , it is substitute in the equation 2) 11(5.4+y) + 6y = 40.29 , ⇒ 59.4 + 11y + 6y = 40.29 ⇒ 17y = 40.29-59.4⇒ y = -19,11/7⇒ y = -2.73
the value of y is substitute in the equation 1) x = 5.4 + ( -2,73)⇒ x= 2,67, where ,the price of every lemon is $ 2,67

6 0

3 years ago

QUESTION 3

eduard

Athe answer is -2 because it is behind the 0 and will be negative and it is two lines away from the 0 so the answer is -2

3 0

3 years ago