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1 year ago

Write an equation to represent function A

Mathematics

1 answer:

maw [93]1 year ago

6 0

Answer:

y = 312x + 2

Step-by-step explanation:

According to y = mx + b, m stands for slope and b stands for y-intercept. Let us find the y-intercept. To find the y-intercept, the x should be zero in (x, y).

(x, y)

(0, 2) ---> y-intercept (b)

Now that we have found the y-intercept, we will now find the slope by using its formula.

Slope formula:-

m = y2 - y1 / x2 - x1

Pick two random (x, y). I will pick the first and last pairs.

(0, 2) and (4, 1250)

Now plug these two pairs in the formula.

m = y2 - y1 / x2 - x1

m = 1250 - 2 / 4 - 0

m = 1248 / 4

m = 312

This means that the slope (m) is 312. Now put that in y = mx + b form.

y = mx + b

y = 312x + 2

Both of the forms are the same. Hope this helps, thank you :) !!

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Evaluate the given expression at x= -4<br> -3x + 2x^2 + 2

Mkey [24]

Answer:

$\huge{ \boxed{ \bold{ \text{46}}}}$

Step-by-step explanation:

If the value of variables of algebraic expression are given, the value of the term or expression can easily obtained by replacing the variables with numbers.

$\text{ \underline{ Given}} : \text{x = - 4}$

$\text{ \underline{ To \: find}} : \sf{value \: of \: - 3x + 2 {x}^{2} + 2}$

$\text{ Plug \: the \: value \: of \: x}$

$➝ \: \sf{ - 3 * (- 4 )+ 2 * {( - 4)}^{2} + 2}$

$\text{Remember!} : \text{Multiplying \: a \: negative \: integer \: by \: negative \: integer \: gives \: a \: positive \: integer.}$

➝ $\sf{12 + 2 * {( - 4)}^{2} + 2}$

$\text{Evaluate \: the \: power}$

➝ $\text{12 + 2 * 16 + 2}$

$\text{Multiply \: the \: numbers}$

➝ $\text{12 + 32 + 2}$

$\text{Add \: the \: numbers}$

$➝ \boxed { \text{46}}$

$\text{Hope \: I \: helped!}$

$\text{Best \: regards!}$

~ $\text{TheAnimeGirl}$

7 0

2 years ago

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Which point on the graph best represents the location of left parenthesis minus 4.5 comma space minus 7 right parenthesis ?

Anna11 [10]

Answer:

The answer will be A because you start at 4 and in between 4 and 5 you will go up to 7 and that will be your answer

6 0

2 years ago

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A random sample of size 15 taken from a normally distributed population revealed a sample mean of 75 and a sample variance of 25

GREYUIT [131]

Answer:

The upper limit of a 95% confidence interval for the population mean would equal 83.805.

Step-by-step explanation:

The standard deviation is the square root of the variance. Since the variance is 25, the sample's standard deviation is 5.

We have the sample standard deviation, not the population, so we use the t-distribution to solve this question.

T interval:

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 15 - 1 = 14

Now, we have to find a value of T, which is found looking at the t table, with 14 degrees of freedom(y-axis) and a confidence level of 0.95( $t_{95}$ ). So we have T = 1.761

The margin of error is:

M = T*s = 1.761*5 = 8.805.

The upper end of the interval is the sample mean added to M. So it is 75 + 8.805 = 83.805.

The upper limit of a 95% confidence interval for the population mean would equal 83.805.

4 0

3 years ago

I think it's B but idk

Sergeu [11.5K]

You are correct. The answer is B.) They are congruent because they are corresponding angles.

Nice job! Hope this helped :)

4 0

2 years ago

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Triangles R S T and X Y T are congruent. Triangle R S T is reflected across a line and then rotated at point T to form triangle

vredina [299]

Answer:

C. Yes, ΔRST can be reflected across the line containing RT and then rotated about T so that S is mapped to Y.

Step-by-step explanation:

Rigid transformations are processes that can be applied to change the orientation or size of a given object, while its shape is maintained. Examples are; rotation, reflection, dilation and translation.

To map ΔRST to ΔXYT, the rigid transformations required are; reflection and rotation. ΔRST can be reflected across the line containing RT and then rotated about T so that S is mapped to Y.

Therefore, option C is correct from the given question.

6 0

2 years ago

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