Multiply using the distributive property

Which equation has the same soultions as x^2+6×-7=0

blagie [28]

$x^2+6x-7=0 \\ a=1 \\ b= 6 \\ c=-7 \\ \\ \boxed{\boxed{\Delta=b^2-4ac}} \\ \\ \Delta=6^2-4*1*(-7) \\ \Delta=36-(-28) \\ \Delta=64 \\ \Delta\ \textgreater \ 0 \Rightarrow \text{we have 2 solutions :} X_1 \ and X_2 \\ \\ \boxed{X_1= \frac{-b- \sqrt{\Delta} }{2a} } \Rightarrow X_1= \frac{-6-8}{2}=-7 \\ \\ \boxed{X_2= \frac{-b+ \sqrt{\Delta} }{2a} } \Rightarrow X_2= \frac{-6+8}{2} =1$

4 0

3 years ago

Without multiplying, circle whether eac less than, or equal to the whole numbe 4 X 국 greater than less than equal to

hichkok12 [17]

Given

1. 4 x 1/7

2. 12 x 2 5/6

procedure

$4*\frac{1}{7}$

1. The answer is 4 x 1/7 is less than 4

$12*2\frac{5}{6}>12$

2. The answer is 12 x 2 5/6 is greater than 12

7 0

1 year ago

if there is a 10% chance of sun tomorrow and 20% chance of wind and no sun what is the probability that it is windy given that i

harkovskaia [24]

Answer:

=22%

Step-by-step explanation:

Since we have given two conditions simultaneously that is windy and not sunny. So we will use the concept of conditional probability.

The probability of sunny day= P(sunny)=10%

P(sunny)=10%=0.1

The probability of windy and not sunny=P(windy|not sun)=20%

P(windy|not sun)=20% = 0.2

Now divide the both probabilities:

P(windy|not sun)/P(sunny)

=0.2/[1-0.1]

{Hence there are 10% chances of sun tomorrow than there are (1 - 0.1) chances of no sun}

If we subtract 1 from 0.1 than it becomes:

=0.2/0.9

=2/9

=0.2222222222

=22%

Hence the probability that it is windy = 22% ....

6 0

3 years ago

Sofie claims to be a tasting expert. To test her abilities, someone bakes Sofie a cake using 3 of the following

Furkat [3]

Summing all the ingredients to get the total sample size, we applied the formula for obtaining the probability which is

Pr(3) = 0.5

<h3>Probability</h3>

Given Data

Sample Space

Coffee

Nutmeg

Vanilla

Cinnamon

Sea salt

Ginger

Total Sample size = 6

Probability of identifying 3 ingredient used is

Pr(3) = 3/6

Pr(3) = 1/2

Hence the Probability is 0.5

Learn more about probability here:

brainly.com/question/25870256

6 0

2 years ago

Determine the rate of change between the points (-1,-1) and (1,-1).

AVprozaik [17]

Answer:

$\displaystyle m = 0$

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Algebra I

Coordinate Planes

Coordinates (x, y)
Slope Formula: $\displaystyle m = \frac{y_2 - y_1}{x_2 - x_1}$

Step-by-step explanation:

*Note:

Rate of change is slope.

Step 1: Define

Identify.

Point (-1, -1)

Point (1, -1)

Step 2: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m.

Substitute in points [Slope Formula]: $\displaystyle m = \frac{-1 + 1}{1 + 1}$
[Order of Operations] Simplify: $\displaystyle m = \frac{0}{2}$
Simplify: $\displaystyle m = 0$

4 0

3 years ago