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3 years ago

What is the slope of this line?

Mathematics

2 answers:

olga2289 [7]3 years ago

7 0

Answer:

Step-by-step explanation:

In the Slope-Intercept Formula, y = mx + b, m is the Rate of Change [Slope]. Anyway, starting from the y-intercept of [0, 2], move 3 units north over 1 unit east. That is called rise\run → 3\1 = 3.

I am joyous to assist you anytime.

kolezko [41]3 years ago

3 0

Answer:

The slope of this line is -3.

Step-by-step explanation:

To find the slope of this line, first you have to use slope formula of $\Rightarrow\displaystyle\frac{y_2-y_1}{x_2-x_1}=\frac{rise}{run}$ .

5-(-4)

(-2)-1

$\displaystyle \frac{5+4}{(-2)-1}=\frac{9}{-3}=\frac{9\div3}{-3\div3}=\frac{3}{-1}=-3$

As a result, the correct answer is -3.

I hope this helps!

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Can somebody please help

Paraphin [41]

Answer:

Step-by-step explanation:

12+3x-5=8x+8-5x

7+3x=3x+8

7=8

So the final statement for the solution would be

C because 7 cannot equal 8

5 0

3 years ago

5^4•5x is equivalent to

Elena-2011 [213]

Answer:

625•5x

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3 years ago

Given the equation f(x) = (x + 3)2 – 8, fill in the blanks: Axis of symmetry: x = _______a0 Vertex: ( _______a1, _______a2) Numb

frutty [35]

We have been given an equation $f(x)=(x+3)^2-8$ . We are asked to fill in the blanks using our given equation.

The axis of symmetry will be the vertical line passing through vertex.

First of all, we will convert our given equation in standard vertex form of parabola as:

Standard vertex form of parabola: $y=(x-h)^2+k$ , where (h,k) is vertex of parabola.

$f(x)=(x-(-3))^2-8$

Upon comparing our function with standard vertex form, we can see that vertex of parabola is at $(-3,-8)$ .

The axis of symmetry will be vertical line passing through point $(-3,-8)$ . The vertical line will pass through $x=-3$ , therefore, the axis of symmetry is $x=-3$ .

Since our given parabola is an upward opening parabola, so it has a minimum at $(-3,-8)$ . This means that parabola will intersect the x-axis at two points. Therefore, there are two real solutions for the given function.

8 0

3 years ago

−10x+3y=5 ASAP x=y−4 x ? y?

nexus9112 [7]

Answer:

x = 1 and y = 5

Step-by-step explanation:

Use substitution because you know that x = y - 4, and plug this into the first equation to get -10(y - 4) + 3y = 5, or -10y + 40 + 3y = 5. This is -7y = -35 so y = 5. Plug this into the 2nd equation to get that x = 1 and y = 5.

3 0

3 years ago

A random sample of 35 undergraduate students who completed two years of college were asked to take a basic mathematics test. The

disa [49]

Answer:

The 90 % confidence limits are (-2.09, 8.09).

Since the calculated values do not lie in the critical region we accept our null hypothesis.

Step-by-step explanation:

The null and alternative hypothesis are given by

H0: σ₁²= σ₂² against Ha: σ₁² ≠ σ₂²

Confidence interval for the population mean difference is given by

(x`1- x`2) ± t √S²(1/n1 + 1/n2)

Where S ²= (n1-1)S₁² + S²₂(n2-1)/n1+n2-2

Critical value of t with n1+n2-2= 50+ 35-2= 83 will be -1.633

Now calculating

S ²=34* (12.8)²+ (14.6)²*49/83= 192.96

Now putting the values in the t- test

(75.1 -72.1) ± 1.633 √ 192.96(1/35 +1/50)

=3 ± 5.09

=-2.09, 8.09 is the 90 % confidence interval for the difference

The 90 % confidence limits are (-2.09, 8.09).

Since the calculated values do not lie in the critical region we accept our null hypothesis.

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3 years ago