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3 years ago

Given that y=18 + 3x² (i) find the value of y when x= -2

Mathematics

2 answers:

vaieri [72.5K]3 years ago

8 0

Answer:

y= 6

Step-by-step explanation:

substitute x= -2 in the equation y=18+3x^2

from there you'll get your final answer

8_murik_8 [283]3 years ago

4 0

Answer:

y=30

Step-by-step explanation:

f(-2)=18+3(-2)^2

f(-2)=18+3*4

f(-2)=18+12

f(-2)=30

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Given the trinomial, what is the value of the coefficient 'B' in the factored form?

Zepler [3.9K]

Answer:

B=9 (I'll solve right now, just so you get the answer)

Step-by-step explanation:

$2x^2+14xy-36y^2=2(x+By)(x-2y)$

Expand right side by distributing

$(2x+2By)(x-2y)$

Use the FOIL method to simplify (first, outside, inside, last):

$(a+b)(c+d)=ac+ad+bc+bd$

$(2x*x)+(2x*(-2y))+(2By*x)+(2By*(-2y))\\\\$

Simplify

$2x^2-4xy+2Byx-4By^2$

Re-insert

$2x^2+14xy-36y^2=2x^2-4xy+2Byx-4By^2$

Cancel out $2x^2$

$14xy-36y^2=-4xy+2Byx-4By^2$

Move all terms to one side

$14xy-36y^2+4xy-2Byx+4By^2=0$

Simplify

$18xy-36y^2-2Byx+By^2=0$

Factor out the common term 2

$2(9xy-18y^2-Byx+2By^2)$

5 0

3 years ago

Hiro bought a small carton of milk at lunch. If the approximate dimensions of the milk carton are shown what is the minimum amou

faltersainse [42]

Answer:

$C.\ 104\ in^2$

Step-by-step explanation:

At first, the question looks like an optimization problem, but since all the dimensions of the carton are given, we only have to compute the total area of the given figure.

Let's calculate the front (and back) areas, which are rectangles

$A_1=(6.5)(3)=19.5\ in^2$

Now with the lateral rectangles which happen to have the very same dimensions

$A_2=19.5\ in^2$

Next, we compute the front and back triangles of base 3 in and height 1.5 in

$A_3=\frac{1}{2}(3)(1.5)=2.25\ in^2$

Now, the lateral inclined rectangles of base 3 in and height 2 in

$A_4=(3)(2)=6\ in^2$

Finally, the base rectangle who happens to be a square of side 3 in

$A_5=(3)(3)= 9\ in^2$

This last area, unlike all others, is not doubled because its counterpart is inside the carton and is not part of the lateral area

Our total area of cardboard is

$A_t=2(19.5)+2(19.5)+2(2.25)+2(6)+9=103.5\ in^2$

The closest option to this answer is

$C.\ 104\ in^2$

5 0

3 years ago

Read 2 more answers

Which of the following terms best describes the graph of the exponential function given below ? f(x) =9•(1/7)^x

Cloud [144]

Answer:

this is the graph

Step-by-step explanation:

4 0

3 years ago

Why do banks give out there credit cards easily and offer to reward tgem

Masteriza [31]

Answer:

If the cardholder has a participating cash back rewards program, the credit card issuer simply shares some of the merchant fees with the consumer. The goal is to incentivize people to use their credit cards when making payments rather than cash or debit cards, which earns them no rewards.

Step-by-step explanation:

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2 years ago

Instructions: Determine whether the following polygons are similar. If yes, type in

Anni [7]

Answer:

No, the polygons aren't similar since they don't have a constant scale factor.

8 0

2 years ago