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Anika [276]
3 years ago
11

1)The graph of the function y = 4x does not pass through the origin.

Mathematics
1 answer:
Gemiola [76]3 years ago
3 0

Answer:

The correct options are:

Option B) 4^x is never zero.

Option F) When x=0, y≠0

Step-by-step explanation:

Consider the provided function.

y=4^x

When we substitute x=0 in above function we get:

y=4^{0}

y=1

When we substitute x=-1 in above function we get:

y=4^{-1}

y=0.25

When we substitute x=1 in above function we get:

y=4^{1}

y=4

The above function is exponential function which does not pass through the origin and the range of the function is a positive number.

The graph of the function is shown in figure 1.

Now consider the provided options.

Option A) 4^x is always greater than or equal to 1.

The option is incorrect as the value of the function is less than 1 for negative value of x.

Option B) 4^x is never zero

The option is correct.

Option C) When y=0, x=0

The option is incorrect.

Option D) When x=0, y=4

When x=0 the value of y is 1.

Thus, the option is incorrect.

Option E) 4^x is zero when x=0

When x=0 the value of 4^x is 1.

Thus, the option is incorrect.

Option F) When x=0, y≠0

The option is correct as 0≠1.

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What is the value of a? <br> Answer options: 27.5, 90, 45, 50
Vikentia [17]

Answer:

90°

Step-by-step explanation:

Arc a subtends and angle of 45° to the circumference of the circle

We know that;

An angle subtended by an arc to the center of a circle is twice the angle subtended by the same chord to the center of the circle.

Therefore, if arc a subtends and angle of 45° to the circumference of the circle then;

a will be = 45 × 2

              =  90°

8 0
3 years ago
Use the function f(x) = -3x^2+13x+3 to find x when f(x) = -7
Bond [772]

Answer: - 235

<u>Step-by-step explanation:</u>

f(x) = -3x² + 13x + 3

f(-7) = -3(-7)² + 13(-7) + 3

      = -3(49) - 91 + 3

      = -147 - 88

      = -235  

7 0
3 years ago
Read 2 more answers
e vertices of a rectangle are R(-5,-5), S(-6,-5),T(-1,1),U(-5,1) a translation maps R to the point (2,-9)
Tema [17]

Answer:

The rule of translation : (x,y)\rightarrow (x+7,y-4)

The vertices of image is R'(2,-9), S'(1,-9), T'(6,-3) and U'(2,-3).

Step-by-step explanation:

The vertices of a rectangle are R(-5,-5), S(-6,-5), T(-1,1), U(-5,1).

It is given that a translation maps R to the point (2,-9).

Difference between x-coordinates:

-5-2=-7

Difference between y-coordinates:

-5-(-9)=-5+9=4

The x-coordinate increased by 7 and y-coordinate decreased by 4. It means the figure shifts 7 units right and 4 units down.

The rule of translation is

(x,y)\rightarrow (x+7,y-4)

The vertices of image are

R(-5,-5)\rightarrow R'(-5+7,-5-4)=R'(2,-9)

S(-6,-5)\rightarrow S'(-6+7,-5-4)=S'(1,-9)

T(-1,1)\rightarrow T'(-1+7,1-4)=T'(6,-3)

U(-5,1)\rightarrow U'(-5+7,1-4)=U'(2,-3)

Therefore, the vertices of image are R'(2,-9), S'(1,-9), T'(6,-3) and U'(2,-3).

7 0
3 years ago
I need help please I don’t understand
Evgen [1.6K]
You don’t need to do the math, think logically.

35% is almost 33%.

1/3 (33%) of 64,000 is 21,000.

The closest choice is H. 22,400.
3 0
3 years ago
What is an explicit formula for the geometric sequence -64,16,-4,1,... where the first term should be f(1).
nirvana33 [79]

Answer:

a_{n} = -64(-\frac{1}{4})^{n-1}

it seems like the first term is -64, so lets write the formula accordingly:

a_n = a1(r)^(n-1)

where 'n' is the number of terms

a1 is the first term of the sequence

'r' is the ratio

the ratio is -\frac{1}{4} because -64 * -\frac{1}{4} = 16 and so on...

the explicit formula is :

a_{n} = -64(-\frac{1}{4} )^{n-1}

7 0
2 years ago
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