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3 years ago

Find the value of a and b in x^2+2x=13

Mathematics

1 answer:

zheka24 [161]3 years ago

8 0

Answer:

a =1 and b =2

Step-by-step explanation:

The standard quadratic is written in the form

ax^2 +bx+c =0

x^2 +2x -13 =0

a =1 and b =2

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Find the x-intercept of the function f(x) = a^x + 1 - 1.

babymother [125]

I am not certain of what you wrote for the function but will assume that is likely exponential function or quadratic function.

First, (quadratic function) To solve this, you must know the quadratic formula. The x-intercept is value(s) that has the output value(y) of 0.

If the vertex of the quadratic function of (0,0), there is only one x-intercept. The number and value of the x-intercept depends on the slope and vertical displacement.

Second, (exponential function) note that there is no x-intercept. For instance, if a is 2, is there such value y that 2^y is 0? The smallest exponential value that is an integer is 1. Even broadening the limit to rational numbers, no such exponential value can have the result of 0. Therefore, in the basic form of exponential function, there is no x-intercept.

4 0

3 years ago

PLEASE HURRY I ONLY HAVE 5MIN TO TURN IT IN!!! A new television set was recently purchased for a common Room and a resident Hall

mezya [45]

Answer:

The price of the tv before tax is 410

Step-by-step explanation:

Let x = price of tv before tax

tax = x* 9%

tax = .09x

The total cost is price of tv before tax plus tax

total cost = x + .09x

total cost = 1.09x

446.90 = 1.09x

Divide each side by 1.09

446.90/1.09 = 1.09x/1.09

410 = x

The price of the tv before tax is 410

3 0

3 years ago

What is the answer to the question

Minchanka [31]

D'
you can't use the same single letter to mark a new point.

3 0

3 years ago

What is the length of the diagonal of a square with a side that measures 11 centimeters

timofeeve [1]

A square has 4 equal sides
use pythagroeas theorem since a square has 4 right angles

a^2+b^2=c^2
a=b because the sides are equal (11)

11^2+11^2=c^2
242=c^2
square root both sides
11√2=c

the diagonal legnth is 11√2 centimiters

4 0

3 years ago

A grower believes that one in five of his citrus trees are infected with the citrus red mite. How large a sample should be taken

mihalych1998 [28]

Answer:

n=6147

Step-by-step explanation:

1) Notation and definitions

$X=1$ number of citrus trees that are infected with the citrus red mite.

$n=5$ random sample taken

$\hat p=\frac{1}{5}=0.2$ estimated proportion of citrus trees that are infected with the citrus red mite.

$p$ true population proportion of citrus trees that are infected with the citrus red mite.

Me=0.01 represent the margin of error desired

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The population proportion have the following distribution

$p \sim N(p,\sqrt{\frac{\hat p(1-\hat p)}{n}})$

In order to find the critical values we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 95% of confidence, our significance level would be given by $\alpha=1-0.95=0.05$ and $\alpha/2 =0.025$ . And the critical values would be given by: