please help with solving

Answer: If the quadratic equation has real, rational solutions, the quickest way to solve it is often to factorise into the form (px + q)(mx + n), where m, n, p and q are integers. This is especially true where the coefficient of x2 is 1.

Example 1 - Solve x2+7x+12=0

Step-by-step explanation:

that's the only one I remember

Answer:

factoring, using the square roots, completing the square and the quadratic formula.

Step-by-step explanation:

Answer:

2.3

Step-by-step explanation:

In this case we are going to use the 'Babylonian Method' to get the square root of any positive number.

We must set an error for the final result. Say, smaller than 0.01. In other words we will try to find the square root value with at least 1 correct decimal places.

Step 1:

Divide the number (5.29) by 2 to get the first guess for the square root .

First guess = 5.29/2 = 2.645.

Step 2:

Divide 5.29 by the previous result. d = 5.29/2.645 = 2.

Average this value (d) with that of step 1: (2 + 2.645)/2 = 2.3225 (new guess).

Error = new guess - previous value = 2.645 - 2.3225 = 0.3225.

0.3225 > 0.01. As error > accuracy, we repeat this step again.

Step 3:

Divide 5.29 by the previous result. d = 5.29/2.3225 = 2.2777179763.

Average this value (d) with that of step 2: (2.2777179763 + 2.3225)/2 = 2.3001089882 (new guess).

Error = new guess - previous value = 2.3225 - 2.3001089882 = 0.0223910118.

0.0223910118 > 0.01. As error > accuracy, we repeat this step again.

Step 4:

Divide 5.29 by the previous result. d = 5.29/2.3001089882 = 2.299891017.

Average this value (d) with that of step 3: (2.299891017 + 2.3001089882)/2 = 2.3000000026 (new guess).

Error = new guess - previous value = 2.3001089882 - 2.3000000026 = 0.0001089856.

0.0001089856 <= 0.01. As error <= accuracy, we stop the iterations and use 2.3000000026 as the square root.

So, we can say that the square root of 5.29 is 2.3 with an error smaller than 0.01 (in fact the error is 0.0001089856). this means that the first 3 decimal places are correct. Just to compare, the returned value by using the javascript function 'Math.sqrt(5.29)' is 2.3.

Note: There are other ways to calculate square roots. This is only one of them.

Normal:

The square root of 5.29 is defined as the only positive real number such that, multiplied by itself, it is equal to 2.3.

The square root of 5.29 can be written as (5.29)1/2. So,

(5.29)1/2 = (2.3 × 2.3)1/2

(5.29)1/2 = [(2.3)2]1/2

(5.29)1/2 = (2.3)2/2

(5.29)1/2 = (2.3)1

Thus,

√5.29 = 2.3

Answer:

2.80$ dived by 7 to get 40 cents each on sale. add 75 sents to each cookie. 40 plus 75 in cents. your left with 1.15$ per cookie. 1.15 times 7 is 8.05

Step-by-step explanation:

Answer:

The normal price of each cookie is n = c = $1.15.

Step-by-step explanation:

Represent the normal cookie price by n.

Then the sale price today is n - $0.75 each, and so 7 cookies will cost you 7(n - $0.75), or $2.80, or, as an equation, 7(n - $0.75), or $2.80.

We simplify this equation by dividing both sides by 7, which results in:

n - $0.75n = $0.40.

Combining like terms, we get

n = $1.15

The normal price of each cookie is n = c = $1.15.

Answer:

D. 5x - 1

Step-by-step explanation:

To solve this, you need to add together f(x) and g(x)

f(x) + g(x) = (3x - 2) + (2x + 1)

3x + 2x = 5x

-2 + 1 = -1

The answer is 5x - 1

Answer:

-4

Step-by-step explanation:

1/2 of -12 is -6. 1/2 of 4 is 2.

-6 + 2 is -4.

The required area of the figure is 100.75 units².

Area of an object shows that how much space it can cover.

Given is figure, made by scooping out a semicircle from a rectangle of length 14 units and width 10 units,

We need to find the area of the figure,

To find the same, we will find the area of whole rectangle and then subtract the area of the semicircle from it,

Area of a rectangle = length × width = 14 × 10 = 140 units²

Area of a semicircle = π × radius² / 2

Here the diameter of the semicircle will be the width of the rectangle,

So,

Diameter = 10

Radius = 5

Area of a semicircle = 3.14 × 25/2 = 39.25 units²

Now,

The area of the figure = 140 - 39.25 = 100.75 units²

Hence, the required area of the figure is 100.75 units².

Learn more about areas, click;

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Answer:

[tex]y = mx + c \\ 6 = 3m + c...(1) \\ - 2 = 7m + c...(2) \\ subtract \: (2) - (1) \\ 4m = - 8 \\ \therefore \: m = - 2 \: sub \: in \: (1) \\ 6 = 3( - 2) + c \\ \therefore \: c = 12 \\ \boxed{y = - 2x + 12}[/tex]

Answer:

y=-2x+12

Step-by-step explanation:

Step-by-step explanation:

2667

1884

1953

782

2046

3105

8559

5368

963

3367

Answer:

381 x 7 = 2667

471 x 4 = 1884

651 x 3 = 1971

391 x 3 = 1173

341 x 6 = 2046

Hope its help full

Answer:

~7 ft

Step-by-step explanation:

2,198.0013 = pi × 10^2 × h

h = 2198.0013 / (3.1416 × 100)

h = 6.996 ft ~ 7 ft

Answer:

Step-by-step explanation:

Pythagorean Theorem Formula: a² + b² = hypotenuse²

x² + 5² = 13²

x² + 25 = 169

x² + 25 - 25 = 169 - 25 (subtract 25 in both sides)

x² = 169 - 25

√x² = √144

x = 12

Answer:

Answer is last option, -3.

Step-by-step explanation:

We know it's going to be a negative slope because the line is going down to the right, so it can't be eighther option 1 or 3.

Next it appears the line is going 3 units down and 1 unit to the right. So it will be written as -3/1 because of rise/run.

Hope this helps/makes sense :)

Answers:

781 × 8 = 6248

231 × 7 = 1617

421 × 6 = 2526

531 × 5 = 2655

681 × 2 = 1362

951 × 4 = 3804

741 × 3 = 2223

361 × 3 = 1083

931 × 7 = 6517

821 × 2 = 1642

Answer:

15 is divided by a number

Answer:

(-2) *6 = -12

Step-by-step explanation:

4 + (2-4) *6 , solve the subtraction in parenthesis

4 + (-2)*6, solve the multiplication of (-2) *6

4 - 12, solve the subtraction

-8

Answer:

square root of 25 is 5

Step-by-step explanation:

when you take the numbers that multiply together to make 25 which in this case is 5 5*5=25

Answer:

52

Step-by-step explanation:

14+13= 27+2=29+23=52

The value of the numerical expression 12 ⋅ (14 + 13)² + 23 will be 8771.

When the relevant factors and natural laws of a mathematical model are given values, the outcome of the calculation it describes is the expression's outcome.

The expression is given below.

⇒ 12 ⋅ (14 + 13)² + 23

Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction are all part of the PEMDAS formula. To answer the problem properly and accurately, this rule must be followed.

⇒ 12 ⋅ (14 + 13)² + 23

⇒ 12 ⋅ (27)² + 23

⇒ 12 ⋅ 729 + 23

⇒ 8748 + 23

⇒ 8771

The value of the numerical expression 12 ⋅ (14 + 13)² + 23 will be 8771.

More about the value of the expression link is given below.

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Answer:

14

Step-by-step explanation:

Answer: 150?

Step-by-step explanation:

150 -> 200 200-150=50

150-> 150 200-150=50

Answer:

J=15t+50

Step-by-step explanation:

The equation to represent this situation will be in the form J=mt+b where b is the starting value of love units, m represents the "love units" that are multiplied by the number of week, t is the number of weeks, and J represents Jack's love at that specific week.

The equation becomes: J=15t+50

To check, the equation should equal 50 when t=0, 65 when t=1, and 80 when t=2.

Checking t=0:

J=15(0)+50=0+50=50

Checking t=1:

J=15(1)+50=15+50=65

Checking t=2:

J=15(2)+50=30+50=80

The equation J=15t+50 does model the behavior of Jack's love at any week t based on the given data. Note that the equation used was based on slope intercept form (y=mx+b) due to the given data having a linear relationship.

Answer:

(Hope this helps can I pls have brainlist (crown)☺️)

Step-by-step explanation:

To find the x-intercept, substitute in  0  for  y yand solve for  x . To find the y-intercept, substitute in  0  for  x and solve for  y .

x-intercept(s):  ( 6 , 0 )

y-intercept(s):  ( 0 , − 2 )

Use the slope-intercept form  y = m x + b to find the slope  m and y-intercept  b .

Slope: [tex]\frac{1}{3}[/tex]

graph in pic

(Credit: M a t h w a y)

Since the ratio of pink markers to total markers is 1:3, then there are 8 pink markers.

Number of yellow markers given = 16

Based on the information given, therefore, the pink markers will be half of the yellow markers. This will be:

= 1/2 × 16

= 8 markers

Therefore, the total markers will be:

= 8 + 16 = 24

In conclusion, pink markers will be 8/24 = 1/3. Therefore, the number of pink markers is 8.

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Answer:

5% as a decimal number is 0.05.

Answer:

x=1

Step-by-step explanation:

5x+2=3x+4(2x-1)

5x+2=3x+8x-4

5x+2=11x-4

5x-11x=-4-2

-6x=-6

6x=6

x=1

Answer:

you two shares for every one share of a company you own

Step-by-step explanation:

Answer:

The next number would be 3

Step-by-step explanation:

As you can see its a repeating pattern of "1739"

Answer:

3

Step-by-step explanation:

1 7 3 9 1 7 3 9 1 7 3 9 1 7 3 9 ...

Answer:

y

Step-by-step explanation:

4y=6 sorry thats all i know

Answer:

3/8\

Step-by-step explanation:

you do one half minus one eight and you get 3/8

Answer:

$0.05 per ounce

Step-by-step explanation:

To find the price in dollars per ounce, divide the price by the number of ounces.

[tex]\frac{1.08}{24}[/tex] = $0.045 per ounce = $0.05 per ounce