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gayaneshka [121]
2 years ago
5

Which point satisfies both ƒ(x) = 2x and g(x) = 3x? (0,1) (0,-1) (1,0) (-1, 0)

Mathematics
1 answer:
ycow [4]2 years ago
5 0

Answer:

(0,1)

Step-by-step explanation:

we are given functions as

f(x)=2^x

g(x)=3^x

we can verify each options

option-A:

we can plug x=0 and check whether we get y=1

f(0)=2^0=1

g(0)=3^0=1

so, this is TRUE

option-B:

we can plug x=0 and check whether we get y=-1

f(0)=2^0=1

g(0)=3^0=1

so, this is FALSE

option-C:

we can plug x=1 and check whether we get y=0

f(1)=2^1=2

g(1)=3^1=3

so, this is FALSE

option-D:

we can plug x=-1 and check whether we get y=0

f(-1)=2^{-1}

g(-1)=3^{-1}

so, this is FALSE

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Which shapes can be drawn with two opposite angles equal to 105°
sertanlavr [38]

Answer:

see the explanation

Step-by-step explanation:

we know that

A shape with two opposite angles equal to 105° could be a quadrilateral, a parallelogram, a rhombus or a trapezoid

Because

<em>A quadrilateral</em>: A quadrilateral is a four-sided polygon. The sum of the interior angles in any quadrilateral must be equal to 360 degrees

so

If the quadrilateral have two opposite angles equal to 105°, then the sum of the other two interior angles must be equal to

360^o-2(105^o)=150^o

<em>A parallelogram</em>: A Parallelogram is a flat shape with opposite sides parallel and equal in length. Opposite angles are congruent and consecutive angles are supplementary

so

If the parallelogram have two opposite angles equal to 105°, then the measure of each of the other two congruent interior angles must be equal to

180^o-105^o=75^o

<em>A rhombus</em>: A Rhombus is a flat shape with 4 equal straight sides. A rhombus looks like a diamond. All sides have equal length. Opposite sides are parallel. Opposite angles are congruent and consecutive angles are supplementary

so

If the Rhombus have two opposite angles equal to 105°, then the measure of each of the other two congruent interior angles must be equal to

180^o-105^o=75^o

<em>A trapezoid</em>: A trapezoid is a 4-sided flat shape with straight sides that has a pair of opposite sides parallel

so

If the trapezoid have two opposite angles equal to 105°, then the sum of the other two interior angles must be equal to

360^o-2(105^o)=150^o

4 0
2 years ago
A physician orders a dosage of 85mg. The drug on hand is labeled “0.1g in 1.5mL”. How many ML should the pharmacy technician giv
marin [14]

Answer:

Step-by-step explanation:

0.1 g = 100 mg

85 mg / 100 mg = x mL / 1.5 mL

x = 1.275 mL

7 0
2 years ago
In converting 30 pounds to ounces, what unit (omit the number) would you
gladu [14]

Step-by-step explanation:

to convert pounds into ounces you'd

actually multiply 16 by 30:

30 * 16

you're doing this because if one pound equals 16 ounces, if you have 30 pounds then you must've had more ounces. therefore you'd multiply.

which is 480 pounds

Enjoy!

6 0
2 years ago
Please help ASAP for 10 points!!
Orlov [11]

Answer:

(C) - 3x²+6

Step-by-step explanation:

(2x²+3x-4) +(8-3x) +(-5x²+2)= 2x²<em>+3x</em><u>-4 +8</u><em>-3x</em>-5x²<u>+2 </u>= - 3x²+6

5 0
2 years ago
Mist ate 2 slices of cake. Flout ate 1 slice. If Mist ate 2/4 of the cake and all the slices were the same size, what fraction o
mr Goodwill [35]
1/4 remained
2/4 - mist + 1/4 -flout = 3/4
4/4 - 3/4 = 1/4
7 0
3 years ago
Read 2 more answers
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