Find x if f(x) = 2x + 7 and f(x) = -1.

Answers

Answer 1
Answer:

Answer:  The required value of x is -4.

Step-by-step explanation:  We are given to find the value of x if :

f(x)=2x+7~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)\n\nf(x)=-1~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(ii)

Since both the equations (i) and (ii) are the values of x, so comparing the equations, we get

2x+7=-1\n\n\Rightarrow 2x=-1-7\n\n\Rightarrow 2x=-8\n\n\Rightarrow x=-(8)/(2)\n\n\Rightarrow x=-4.

Thus, the required value of x is -4.

Answer 2
Answer: f(x) = 2x+7

-1 = 2x+7
-7        -7

-8 = 2x

-8/2 = 2x/2

-4 = x

x = -4

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The measurement of a rectangular dam are:length =60-2x width=2x depth=x/2 determine the volume of the damin terms of x

Answers

Volume of this rectangular dam=lenght  x width x depth
Data:
lenght=60-2x
width=2x
depth=x/2

V(x)=(60-2x)(2x)(x/2)
v(x)=(120x²-4x³)/2
v(x)=60x²-2x³

The volume of the rectangular dam is V(x)=60x²-2x³

Solve: (6x^3 - 1x^2 + 1) divided by (2x + 1)a. -3x^2 + 2x -1
b. 3x^2 - 2x + 1
c. -3x^2 + 2x - 1
d. 3x^2 2x - 1

Answers

The Simplified answer would be b. 3x^2 - 2x + 1

The average high temperature in Anchorage, Alaska, in January is 21°F with a standard deviation of 10°. The average high temperature in Honolulu in January is 80°F with a standard deviation of 8°. In which location would it be more unusual to have a day in January with a high of 57°F?

Answers

Answer:

In Honolulu it be more unusual to have a day in January with a high of 57°F

Step-by-step explanation:

Given,

The average high temperature in Anchorage, Alaska,

\mu_1 = 21° F,

Having standard deviation,

\sigma_1 = 10°,

Thus, the z-score for the high temperature of 57° F in alaska,

z_1=(57-\mu_1)/(\sigma_1)

=(57-21)/(10)

=3.6

By the z-score table the probability of the high temperature of 57°F in Alaska = 0.99984 = 99.984 %

Now, the average high temperature in Honolulu is,

\mu_2=80^(\circ)

Having standard deviation,

\sigma_2=8^(\circ)

Thus, the z-score for the high temperature of 57° F in Honolulu,

z_2=(57-\mu_2)/(\sigma_2)

=(57-80)/(8)

=-2.875

By the z-score table the probability of the high temperature of 57° in Honolulu = 0.00205 = 0.205 %

Since, a probability is unusual if it is less than 5 %,

Hence, In Honolulu  it be more unusual to have a day in January with a high of 57°F.

It would be more odd in Honolulu.

What is the value of 1 tens and 16 ones

Answers

1 x 10 = 10
16 x 1 = 16
10 + 16 =
26

You have 1 ten (10)
You have 16 ones (10+6)
10+10+6= 26

Please help me with this im pretty confused ?​

Answers

Answer:

a=6

Step-by-step explanation:

Since this is a right triangle, we can use the Pythagorean theorem

a^2 + b^2 = c^2  where a and b are the legs and c is the hypotenuse

a^2 + 8^2 = 10^2

a^2 + 64= 100

a^2 +64-64 = 100-64

a^2 = 36

Take the square root of each side

sqrt(a^2) = sqrt(36)

a = 6

Answer:

a = 6

  • The length of side a is 6.

Step-by-step explanation:

According to the question,

Using Pythagorean theorem

( a )² + ( b )² = ( c )²

  • Where, a and b are the base and c is the length of hypotenuse.

( a )² + ( 8 )² = ( 10 )²

evaluate the exponent

a ² + 64 = 100

subtract 64 from each side

a ² + 64 - 64 = 100 - 64

a ² = 36

Take the square root of each side

√a² = √36

a = 6

3 A linear function is graphed below.7 (3,5)
X
(-1,-5)
What is the y-intercept of this graphed line?
PLEASE HELP!!!!!!

Answers

I believe the answer is b)-3.
The y-intercept is when a point passes through the y-axis. Hope this helps:)

Final answer:

To find the y-intercept of the given linear function, first, the slope of the function is calculated using the provided points. Then, the slope and one pair of coordinates are substituted into the y = mx + b equation to solve for 'b', which is the y-intercept.

Explanation:

In mathematics, specifically in the context of linear functions, the y-intercept is the point at which the line crosses the y-axis. From the provided points, however, it's not immediately clear what the y-intercept is.

To find the y-intercept, we need to determine the line's equation first. The equation of a line can be represented in the form y = mx + b, where 'm' is the slope of the line and 'b' is the y-intercept. To find the slope, we use the formula (y2 - y1) / (x2 - x1), substituting the given points. After calculating the slope, we can plug one pair of the given coordinates into the equation y = mx + b, and solve for 'b', which gives us the y-intercept.

Learn more about Y-Intercept here:

brainly.com/question/34923499

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