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2 years ago

Pls help! giving thanks. What is the slope of the line (picture above)

Mathematics

1 answer:

Nezavi [6.7K]2 years ago

6 0

Answer:

$slope = 1$

Step-by-step explanation:

We can see that the graph cuts the x axis at , (-1,0) and y axis at (0,1) . So we can find the slope as ,

$\implies slope = \dfrac{y_2-y_1}{x_2-x_1}\\\\\implies slope = \dfrac{ 1-0}{0+1} \\\\\implies\boxed{\boxed{ slope = 1 }}$

You might be interested in

Let p(x) = x^2 + 8x + 12 and q(x) = x^3 + 5x^2 - 6x. Define r(x) = p(x) \cdot q(x).

Anna [14]

The roots of the entire polynomic expression, that is, the product of p(x) = x^2 + 8x + 12 and q(x) = x^3 + 5x^2 - 6x, are x₁ = 0, x₂ = -2, x₃ = -3 and x₄ = -6.

<h3>How to solve a product of two polynomials </h3>

A value of x is said to be a root of the polynomial if and only if r(x) = 0. Let be r(x) = p(x) · q(x), then we need to find the roots both for p(x) and q(x) by factoring each polynomial, the factoring is based on algebraic properties:

r(x) = (x + 6) · (x + 2) · x · (x² + 5 · x - 6)

r(x) = (x + 6) · (x + 2) · x · (x + 3) · (x + 2)

r(x) = x · (x + 2)² · (x + 3) · (x + 6)

By direct inspection, we conclude that the roots of the entire polynomic expression are x₁ = 0, x₂ = -2, x₃ = -3 and x₄ = -6. $\blacksquare$

To learn more on polynomials, we kindly invite to check this verified question: brainly.com/question/11536910

5 0

1 year ago

The next day the gas tank in dad’s car holds 24 gallons. The gas tank in mom’s truck holds 50% less than that. How much gas does

vekshin1

24 gallons * 50%

24 gallons * .5

=12

24-12

= 12

thy answer is 12 .

3 0

2 years ago

Read 2 more answers

Is 6x² + 5x polynomial

DIA [1.3K]

In general polynomial is an expression consisting of variables (or indeterminates) and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponents.
So this equation is polynomial

4 0

2 years ago

Read 2 more answers

Select the correct answer.

swat32

Answer:

Step-by-step explanation:

325,000 x 0.8 = 260.400

7 0

2 years ago

A recent article in The Wall Street Journal compared the cost of adopting children from China with that of Russia. For a sample

denpristay [2]

Answer:

We can conclude the mean cost is larger for adopting children from Russia.

Step-by-step explanation:

To answer this question we can perform an hypothesis testing on the differences of the means with the following null and alternative hypothesis:

$H_0: \mu_1\leq\mu_2\\\\H_1: \mu_1>\mu_2$

The significance level we assume is 0.05.

First we calculate the mean standard error:

$MSE=\frac{SSE}{df}=\frac{n_1\sigma_1^2+n_2\sigma_2^2}{(n_1-1)+(n_2-1)} =\frac{16*835^2+18*1545^2}{16-1+18-1} =1,691,314$

The harmonic mean of the sample sizes is:

$n_h=\frac{2}{1/n_1+1/n_2}=\frac{2}{0.0625+0.0556}=\frac{2}{0.1181}=16.94$

Then we can calculate the estimated standard deviation as:

$\sigma=\sqrt{\frac{2MSE}{n_h} } =\sqrt{\frac{2*1691314}{16.94} } =447$

The t-statistic can be calculated as:

$t=\frac{\Delta M-\Delta \mu}{\sigma}=\frac{(11045-12840)-0}{447} =\frac{-1795}{447}= -4.015$

The degrees of freedom are $df=n_1+n_2-2=18+16-2=32$ .

We can look up the P-value in a table or applet. For t=-4.015 and df=32, the P-value is 0.00017.

The P-value is smaller than the significance level, so the effect is significant and the null hyphotesis (China cost is equal or less than in Russia) is rejected.

We can conclude the mean cost is larger for adopting children from Russia.

4 0

2 years ago