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lana66690 [7]
3 years ago
5

Let f(x) = 7x² + 19x + 21 and g(x) = 4x² + 4x + 3 . Identify the solution(s) of f(x) = g(x).

Mathematics
1 answer:
tresset_1 [31]3 years ago
7 0

Answer:

-3 and -2

Step-by-step explanation:

7x² + 19x + 21 = 4x² + 4x + 3

combine like terms:

3x² + 15x + 18 = 0

3(x² + 5x + 6) = 0

(x + 3)(x + 2) = 0

x = -3

x = -2

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If tanA = 1/2 then evaluate cos A/sinA +sinA /1+cosA​
Deffense [45]

Answer:

√5.

Step-by-step explanation:

Tan A = 1/2 means that the right triangle containing angle A has legs of length 1 and 2 units. So the hypotenuse  = √(1^2 + 2^2) = √5  (using the Pythagoras theorem). The side opposite to < A = 1 unit and the adjacent side = 2 (as tan = opposite / adjacent).

so cos A =  adjacent / hypotenuse =   2/√5.

and sin A = opposite / hypotenuse = 1 / √5

cos A / sin A = 2/√5 /  1/ √5 =  2.

sin A / (1 + cos A) =  1/√5 (1 + 2/ √5)

=  1 / √5 ( (√5 + 2) /√5)

= 1 / (√5 + 2)

So the answer is:

2  +   1 /(√5 + 2).

We can simplify it further by multiplying top and bottom of the fraction by the complement of √5 + 2 which is √5 - 2.

2 + 1 / (√5 + 2)

= 2(√5 + 2) + 1 / (√5 + 2 )

= { 2(√5 + 2) + 1 } /  (√5 + 2)

Multiplying this by  √5 - 2 / √5 - 2 we get:

(2(5 - 4) + √5 - 2) /  (5 -4)

=  2 + √5 - 2 / 1

= √5.

3 0
3 years ago
Ben the camel drinks tea ( so classy ). he drinks 350 liters of tea every 2 days
ziro4ka [17]

Ben drinks 1,050 liters of tea every 6 days.

<h3>How many liters of tea does Ben drink every 6 days?</h3>

Convert the object's dimensions into centimeters before performing the volume calculation in liters. Next, determine a shape's volume using the volume formula. The metric unit for measuring volume or capacity is the liter (or liter). Liters are a standard unit of measurement frequently used to measure liquids.

Divide Bens daily tea usage by the number daily tea usage rate.

Ben the camel drinks tea ( so classy ).

He drinks 350 liters of tea every 2 days.

liters (Volume) = usage times /days

350 × (6/2)

= 350 × 3

= 1,050 liters of tea does Ben drink every 6 days.

As a result, Ben drinks 1,050 liters of tea every 6 days.

#SPJ4

7 0
1 year ago
I am a number. I am the square root of the number of squares on a chess board or a checker board. What number am I?
madreJ [45]
The number of squares on a chess or checker board is 64 and to find the square root of 64 which is 8*8=64 so the answer is 8
8 0
3 years ago
Read 2 more answers
I don’t need to know how to solve it I’m going to ask my teacher how to tomorrow but for now I need help on these
Mars2501 [29]
1) slope=3 and y-int.=-5
2) slope=2 and y-int.=-6
3) slope=-6 and y-int.=1/2
4) slope=-7 and y-int.=5/2
5) slope=1/2 and y-int.=7
6) slope=3/4 and y-int.=8
7) slope=-2/3 and y-int.=-1/3
8) slope=-1/8 and y-int.=-3/8
9) slope=2/3 and y-int.=5
10) slope=-2/7 and y-int.=-1
11) slope=-3 and y-int.=6
12) slope=4 and y-int.=7
Hope this helps!
4 0
3 years ago
Who want to date me im 13 name is deanna i love dua lipa
german

Answer:

first of all we don't know what u look like

7 0
3 years ago
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