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Answer:

x^2+(4-1)x-4=0

x^2+4x-x-4=0

x(x+4)-1(x+4)=0

(x-1)(x+4)=0

either (x-1)=0                                   Or,(x+4)=0

x-1=0

x=0+1

x=1

x+4=0

x=0-4

x=-4

therefore x=-4,1

Step-by-step explanation:

The required solutions for x are x₁= 1 and x₁= -4, and we can write them from least to greatest as -4, 1.

A number or algebraic expression that evenly divides another number or expression—i.e., leaves no remainder—is referred to as a factor.

To solve for x in the quadratic equation x² + 3x - 4 = 0, we can use the quadratic formula:

x = (-b ± √(b² - 4ac)) / 2a

where a, b, and c are the coefficients of the quadratic equation (ax² + bx + c = 0).

In this case, a = 1, b = 3, and c = -4, so we have:

x = (-3 ± √(3² - 4(1)(-4))) / 2(1)

x = (-3 ± √(25)) / 2

x = (-3 ± 5) / 2

x₁ = (-3 + 5) / 2 = 1

x₂ = (-3 - 5) / 2 = -4

Therefore, the solutions for x are x₁= 1 and x₁= -4, and we can write them from least to greatest as -4, 1.

Learn more about Factors here:

https://brainly.com/question/24182713

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Answer:

x=38 Larger number

y=20 Smaller number

Step-by-step explanation:

38+20=58

Answer:

if I am correct the answer should be 2

Answer:

The area is 35 square units.

Step-by-step explanation:

The entire figure is formed by four triangles and a rectangle, whose sum represents the total area ([tex]A_{T}[/tex]), in square units, represented by the following formula:

[tex]A_{T} = A_{1} + A_{2} + A_{3} + A_{4} + A_{5}[/tex] (1)

Where:

[tex]A_{1}[/tex], [tex]A_{2}[/tex], [tex]A_{3}[/tex], [tex]A_{4}[/tex] - Areas of the four triangles.

[tex]A_{5}[/tex] - Area of the rectangle.

By using the area formulas of a triangle and rectangle we expand the equation described above:

[tex]A_{T} = \frac{1}{2}\cdot (3)\cdot (6) + \frac{1}{2}\cdot (3)\cdot (2) + \frac{1}{2}\cdot (2)\cdot (2) + \frac{1}{2}\cdot (3)\cdot (6) + (2)\cdot (6)[/tex]

[tex]A_{T} = 35\,u^{2}[/tex]

The area is 35 square units.

Answer:

2090

Step-by-step explanation:

0.06 × 2000 =120 therefore 120 × 24 =2088. and round off to the cent

Answer:

7.013, 7.13, 7.1371, 7.2

Step-by-step explanation:

Answer:

2nd option

Step-by-step explanation:

To convert from (x, y ) → (r, θ )

where

r = [tex]\sqrt{x^2+y^2}[/tex]

θ = [tex]tan^{-1}[/tex] ([tex]\frac{y}{x}[/tex] )

Here (x, y ) = (- 4, 5 ), a point in the 2nd quadrant

r = [tex]\sqrt{(-4)^2+5^2}[/tex] = [tex]\sqrt{16+25}[/tex] = [tex]\sqrt{41}[/tex]

θ = [tex]tan^{-1}[/tex] ([tex]\frac{5}{4}[/tex] ) ≈ 51.3° ← related acute angle , then

θ = 180° - 51.3° = 128.7°

Thus

(- 4, 5 ) → ([tex]\sqrt{41}[/tex], 128.7° ) in polar form

Answer:

40 : 200

Step-by-step explanation:

1/6 x 240 = 40

5/6 x 240 = 200

Answer:

the correct answer is option C

Answer:

16m

Step-by-step explanation:

Given data

Width = 3m

Lenght = 2+3= 5m

We know that the expression for perimeter is

P= 2L+2W

Substitute

P= 2*5+ 2*3

P= 10+6

P= 16 m

Hence the perimeter is 16m

Answer:

-35

Step-by-step explanation:

-5 times 7 = -35

hope that helped :)

Answer:

- 35

Step-by-step explanation:

The product of a negative and a positive is negative, so

- 5 × 7 = - 35

Answer:

I believe your equation is [tex]y=\frac{4}{5} x-2[/tex]

Step-by-step explanation:

Using the rise over run formula, you get the slope as 4/5. Then, you look for the y-intercept, which turned out to be -2.

Answer:

D

[tex]x = \frac{11}{ \tan(30 \degree) } \\ x = 11 \sqrt{3} [/tex]

[tex]y = \frac{11}{ \sin(30 \degree) } \\ y = 22[/tex]

Answer:

12,214.51 meters cubed.

Step-by-step explanation:

Answer:

B also have a great day today

Answer:

D, Between 5.4 and 6.5

Step-by-step explanation:

anything less than .5 gets rounded down and anything higher gets rounded up so it'll end up with 6

Step-by-step explanation:

hope it helps.

Answer:

48

Step-by-step explanation:

Given data

Ratio= 9:8

Combined ratio= 9+8= 17

Upvotes= 54

Let us apply the part to all approach to find the total votes

let the total votes be x

9/17= 54/x

cross multiply

9x= 54*17

9x= 918

divide both sides by 9

x= 918/9

x=102

Hence the number of downvotes is

=102-54

=48

Answer:

$30

Step-by-step explanation:

Adding up all the expenditures and the remaining amount

starting amount = expenses + remainder

starting amount = ($5 + $6 + $10 + $4) + ($5)

starting amount = $30

Answer:

80%

Step-by-step explanation:

I have filled out and attached the double number line below. From the picture, we can see that the number 56 is 80% of 70. In the image, this is represented by the second number line where 80% is on the same tick as 56 is on the first number line. Mathematically this can be calculated by dividing 56 by 70 and then multiplying that decimal value by 100 to get the percentage like so...

56 / 70 = 0.8

0.8 * 100 = 80%

Answer:

$44.98

Step-by-step explanation:

12.25 x 4 = 49

if her coupon is 15% off then she pays 85% of 49, which is 41.65

8% tax added to 41.65 is, 41.65 × .08 = 3.33

total cost is 41.65 + 3.33 = 44.98

Answer:

34.17

Step-by-step explanation:

8 packs x 4.99/pack=39.92

39.92x.8(100-20% discount)=31.94

31.94 x 1.07% (includes 7% sales tax)=34.17

Answer:

take 70 degree as reference angle

using cos rule

let adjacent be x

cos70=adjacent/hypotenuse

0.34=x/5

0.34*5=x

1.7=x

Step-by-step explanation:

Answer:

6e+16

but that equals

32.3096909708

Answer:

6 x 10^ 17

Step-by-step explanation:

5+5+5 = 15

15 x 500 x 240000000000000

Answer:

We need the table

Step-by-step explanation:

Answer:

.1 ; 1.8x

y=1.8x + .1

==============

The next question, where it asks for "The table shows the number of kilograms a newborn pig weighs during its first week.

" is y=.18x + .96

[this is the next question and so fourth]

and for the one after this question with three options, it is:

21.12; 0.14; 35

then for the one after that one, it is:

64.6; -20.2; 28

then for the one after that one, it is:

(A) 5.2 + 2.2x scoring 1 point

then the one after that one, it is:

(D) 14.92 - 0.02x scoring 0 point

then the one after that one, it is:

r = .50

and last but least,

As budgets increased, the gross revenue increased; r = 0.62. (C)

==============

ED2021

here to fix statistics for you :)

Answer:

what graph

Step-by-step explanation:

Answer: Should be 14

Step-by-step explanation:

Answer:

0.2754

Step-by-step explanation:

Probability of saving a penalty kick = 0.617

p = 0.617 ; q = 1 - p = 1 - 0.617 = 0.383

number of trials, n = 7

Number of saves, x = 5

Using the binomial probability relation :

P(x = x) = nCx * p^x * q^(n-x)

P(x = 5) = 7C5 * 0.617^5 * 0.383^2

P(x = 5) = 21 * 0.0894181 * 0.146689

P(x = 5) = 0.2754