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alexgriva [62]
3 years ago
8

Help me asap please

Mathematics
2 answers:
NeX [460]3 years ago
5 0
X2 + 14X = -49
+49
x2 + 14X + 49
(x2 + 14X + 7) + 49 - 7 = 0
(X+7)2 + 42 = 0
- 42
(x+7)2 = 42
*square root of both sides)
X + 7 = square root of 42
-7
X = -7 +/- square root of 42

x = -13.48
x = -0.52

and for b, without doing any work my guess is because there is a 0 under the radical, which gives you only one real solution
dsp733 years ago
4 0
Given:

{x}^{2} + 14x = - 49

{x}^{2} + 14x + 49 = 0

this quadratic is easily factored:

(x + 7)(x + 7) = {(x + 7)}^{2}

what value of X makes the quadratic equal zero?

0 = {(x + 7)}^{2}

let x = -7

{( - 7 + 7)}^{2} = 0

this is the only value that makes the equation equal to zero.

thus, there is a double root, which is equal to -7

for part 2:

Since it is quadratic, it will always have two roots. This means both roots are equal to -7

generally, whenever a quadratic factors into a perfect square of sums, like:

{(x + a)}^{2}

where 'a' is a constant,

the solution is a double root.

Meaning both roots to the quadratic are equal.
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A worker’s total earning is $8.75 per hour plus a $10 tip; what are the hours worked if the worker earned $316.25 in one week?
Rus_ich [418]
First, you will subtract the $10 tip from the total earned, leaving you with $306.25 (earned from hours work). Your wage is $8.75/hr, so if you divide 306.25/8.75, you’ll get 35. You worked 35 hours to earn $306.25, and then got a $10 tip, bringing up your total to $316.25.
4 0
3 years ago
Y<br> 47<br> 27<br> 2+<br> -2 -2<br> 1<br> 2<br> What is the slope of the line
Kryger [21]

Answer:

answer =3/4

use m= y2-y1/x2-x1

3 0
3 years ago
The equation 3x + 2 = 29 is modeled below.
DanielleElmas [232]

Answer:

Subtract 2 from both sides.

Step-by-step explanation:

Remember to do the opposite of PEMDAS. PEMDAS is the order of operation, and stands for:

Parenthesis

Exponents (& Roots)

Multiplication

Division

Addition

Subtraction

> Also, note the equal sign, what you do to one side, you do to the other side of the equation.

First step is to subtract 2 from both sides of the equation:

3x + 2 (-2) = 29 (-2)

3x = 29 - 2

3x = 27

The second step is to divide 3 from both sides of the equation:

(3x)/3 = (27)/3

x = 27/3

x = 9

~

7 0
2 years ago
Read 2 more answers
Gary drank
Scrat [10]

Answer:

1 7/15

Step-by-step explanation:

4/5 = 12/15

2/3 = 10/15

12/15 + 10/15 = 22/15 or 1 7/15

6 0
3 years ago
A group of researchers wants to know whether men are more likely than women to contract a novel coronavirus. They surveyed two r
olasank [31]

Answer:

Test statistic Z= 0.13008 < 1.96 at 0.10 level of significance

null hypothesis is accepted

There is no difference proportion of positive tests among men is different from the proportion of positive tests among women

Step-by-step explanation:

<em>Step(I)</em>:-

Given surveyed two random samples of 390 men and 360 women who were tested

first sample proportion

                    p_{1} = \frac{360}{390} = 0.9230

second sample proportion

                  p_{2} = \frac{47}{52} = 0.9038

Step(ii):-

Null hypothesis : H₀ : There is no difference  proportion of positive tests among men is different from the proportion of positive tests among women

Alternative Hypothesis:-

There is difference between proportion of positive tests among men is different from the proportion of positive tests among women

 

Z = \frac{p_{1}- p_{2} }{\sqrt{PQ(\frac{1}{n_{1} }+\frac{1}{n_{2} }  } }

where

          P = \frac{n_{1}p_{1} +n_{2}  p_{2} }{n_{1}+n_{2}  }

         P =  0.920

Z= \frac{0.9230-0.9038}{\sqrt{0.920 X0.08(\frac{1}{390}+\frac{1}{52}  } )}

Test statistic Z =  0.13008

Level of significance = 0.10

The critical value Z₀.₁₀ = 1.645

Test statistic Z=0.13008 < 1.645 at 0.1 level of significance

Null hypothesis is accepted

There is no difference proportion of positive tests among men is different from the proportion of positive tests among women







7 0
3 years ago
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