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Greeley [361]
3 years ago
14

Find the value of b. 15° 25° bº b=

Mathematics
1 answer:
kvv77 [185]3 years ago
7 0

Answer:

35

Step-by-step explanation:

15 plus 10 equals 25.

25 plus 10 equals 35.

Hope it helps!

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The function f(x) = One-sixth (two-fifths) Superscript x is reflected across the y-axis to create the function g(x). Which order
Gekata [30.6K]

The ordered pair (-3 , \frac{4}{375} ) is on g(x) ⇒ 1st answer

Step-by-step explanation:

Let us revise the reflection across the axes

  • If the function f(x) reflected across the x-axis, then its image is g(x) = - f(x)  (change the sign of y)
  • If the function f(x) reflected across the y-axis, then its image is g(x) = f(-x)  (change the sign of x)

∵ f(x)=\frac{1}{6}(\frac{2}{5})^{x}

∵ f(x) is reflected across the y-axis to create the function g(x)

- Change the sign of x

∴ g(x)=\frac{1}{6}(\frac{2}{5})^{-x}

To find the point that lies on g(x) substitute x in g(x) by the x-coordinate of the point if the answer equal to the y-coordinate of the point, then the point lies on it if not then the point does not lie on it

∵ The coordinates of the point are (-3 , \frac{4}{375} )

∴ x = -3 and y = \frac{4}{375}

- Substitute x by -3 in g(x)

∵ g(x)=\frac{1}{6}(\frac{2}{5})^{-x}

∴ g(x)=\frac{1}{6}(\frac{2}{5})^{-(-3)}

∴ g(x)=\frac{1}{6}(\frac{2}{5})^{3}

∵ (\frac{2}{5})^{3}=\frac{2^{3}}{5^{3}}=\frac{8}{125}

∴ g(x)=\frac{1}{6}(\frac{8}{125})

∴ g(x)=\frac{8}{750}

- Divide up and down by 2

∴ g(x)=\frac{4}{375}

∵ The value of g(x) equal to the y-coordinate of the point

∴ The point (-3 , \frac{4}{375} ) lies on g(x)

The ordered pair (-3 , \frac{4}{375} ) is on g(x)

Learn more:

You can learn more about the reflection in brainly.com/question/5017530

#LearnwithBrainly

9 0
2 years ago
Read 2 more answers
The sum of the first term of an ap is 240 and the sum of the next 4 term is 220 find the first term of the ap
Sindrei [870]

Answer:

The common difference is -5/4

T(n) = T(0)  - 5n/4,

where T(0) can be any number. d = -5/4

Assuming T(0) = 0, then first term

T(1) = 0 -5/4 = -5/4

Step-by-step explanation:

T(n) = T(0) + n*d

Let

S1 = T(x) + T(x+1) + T(x+2) + T(x+3) = 4*T(0) + (x + x+1 + x+2 + x+3)d = 240

S2 = T(x+4) + T(x+5) + T(x+6) + T(x+7) = 4*T(0) + (x+5 + x+6 + x+7 + x+8)d = 220

S2 - S1

= 4*T(0) + (x+5 + x+6 + x+7 + x+8)d - (4*T(0) + (x+1 + x+2 + x+3 + x+4)d)

= (5+6+7+8 - 1 -2-3-4)d

= 4(4)d

= 16d

Since S2=220,  S1 = 240

220-240 = 16d

d = -20/16 = -5/4

Since T(0) has not been defined, it could be any number.

7 0
3 years ago
Nathan is playing golf at a golf course. The height of the golf ball from the ground, in feet, x seconds after the ball is hit i
lozanna [386]

Answer:

A.  the times at which the golf ball is on the ground

Step-by-step explanation:

The expression of the function is

h(x)= -4x^2+36x

The roots can be seen in the image below

You have a formula which represents the height over time.

The roots of the equation indicate that the height is equal to zero

The correct option is

A.  the times at which the golf ball is on the ground

The ball is in the ground at x= 0 and x = 9 seconds

8 0
3 years ago
Find an equation for the nth term of the arithmetic sequence. -15, -6, 3, 12, ...
Mariulka [41]

Answer: t_{n}=-15+9(n-1)

Step-by-step explanation:

The formula for finding the nth term of an arithmetic sequence is given as:

t_{n}=a+(n-1)d

a = first term = -15

d = common difference = -6 - (-15) = 9

n = number of terms

substituting into the formula , we have :

t_{n} = -15+(n-1)9

t_{n}=-15+9(n-1)

5 0
2 years ago
Which of the given pairs of expressions are equivalent? Select all that apply.
Artyom0805 [142]

Answer:

sorry I don't know about this Question

8 0
2 years ago
Read 2 more answers
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