Please help me with this.
I need a maths genius
See pic below.
Thanks

Given:

The area of rectangular garden is [tex]x^2-4x-21[/tex] square units.

To find:

The length and width of the cucumber field.

Solution:

The area of a rectangle is:

[tex]A=l\times w[/tex]

Where l is length and w is width of the rectangle.

The area of rectangular garden is [tex]x^2-4x-21[/tex] square units.

We need to find the factors of [tex]x^2-4x-21[/tex] to get the length and width.

[tex]A=x^2-4x-21[/tex]

Splitting the middle term, we get

[tex]A=x^2-7x+3x-21[/tex]

[tex]A=x(x-7)+3(x-7)[/tex]

[tex]A=(x-7)(x+3)[/tex]

Area of a rectangle is the product of length and width.

Therefore, the length and width of the rectangle are [tex](x-7)[/tex] units and [tex](x+3)[/tex] units.

Answer:

3.5

Step-by-step explanation:

Tn=a(n-1)d

Tn=3.5+(101-1)0

Tn=3.5+0

Tn=3.5

Scale is 1 inch to 6 mile.

So, ½ inch = 6 mile/2 = 3 mile

Answer:

(3x + y)(3x - 4)

Step-by-step explanation:

9x² + 3xy - 12x - 4y ​=

There is no common factor in the 4 terms.

Since there are 4 terms, we try factoring by grouping.

Find a common factor in the first two terms, and find a common factor in the last two terms.

= 3x(3x + y) - 4(3x + y)

Now factor out the common factor 3x + y.

= (3x + y)(3x - 4)

Answer:

B. point B

Step-by-step explanation:

Answer:

B.

Step-by-step explanation:

B(-1, -3)

y = 3x

When x = -1,

y = 3(-1) = -3

Answer: B.

Answer:

1.4194

Step-by-step explanation:

death rate per 100000 for cancer

for non smokers, death rate = 7

for smokers death rate = 71

death rate per 100000 coronary thrombosis

for non smokers = 422

for smokers = 599

relative risk of dying from cancer

= number of smokers / number of non smokers

= 71/7

= 10.14

relative risk of dying from coronary thrombosis

= number of smokers/number of non smokers

= 599/422

= 1.419

the relative risk of dying of coronary thrombosis is 1.4194

= 10.14

Answer:

Step-by-step explanation:

y=mx+b is the general equation of a line, where

m= slope = (y2-y1)/(x2-x1)= (6-2)/(0- -3)= 4/3

b= y intercept

for point (0,6)

y=(4/3)x+b will become 6=(4/3)*0 +b, so b=6

the equation of the line that passes trough the given points is

y= (4/3) x +6

Answer:

y = 4/3 x + 6

Step-by-step explanation:

M = -4/-3 = 2/3

y = 4/3 X + B

6 = 4/3(0) + B

B=6

Step-by-step explanation:

[tex]here \: is \: your \: solution : - \\ \\ GIVEN \: \: -:- \\ \\ = > \: area \: of \: circle \: = 616 \: m {}^{2} \\ \\ \ = > pi = 22 \div 7 \\ \\ = > we \: need \: to \: find \: radius \: \\ \\ = > area \: of \: circle \: = \pi \: r {}^{2} \\ \\ = > \: \pi \: r {}^{2} = 616 \: m {}^{2} \\ \\ = > \: r {}^{2} \times (22 \div 7) = 616 \\ \\ = > \: r {}^{2} =( 616 \times 7) \div 22 \\ \\ = > \: r { }^{2} = 4312 \div 22 \\ \\ = > r {}^{2} = 196 \\ \\ = > \: r = \sqrt{196} \\ \\ = > \: r = 14 \: \: \: (ANSWER✓✓✓) \\ \\ HOPE \: IT \: HELPS \: YOU \: (◕ᴗ◕✿)[/tex]

hope this helps you.

Answer:

Step-by-step explanation:

y = 2 - 4x

y = 2 - 4(-1)

y = 2 + 4

y = 6

hope this helps!

Translate How is mathematical thinking established? How can we have mathematical thinking? in to Chinese.

数学思维是如何建立的？ 怎样才能有数学思维？

Answer:

hundredth

Step-by-step explanation:

numbers after the decimal point start counting from

tenth

hundredth

Answer:

0.07 or 7 hundredths

Step-by-step explanation:

(12.3456)- I'll use this as my example

1-tens place

2-ones place

3- tenths place

4= hundredths place

5-thousandths place

6- im pretty sure its the 10 thousandths place

Step-by-step explanation:

some to check if it correct

The length of the  line segment AB is 8.48 unit.

The term used for identifying the size of an object or the distance from one point to another is known as length.

The length of the line segment having endpoints A (x1, y1) and B (x2, y2) can be determined using the formula,

[tex]AB=\sqrt{(x_{2} ^{2} -x_{1} ^{2} )+(y_{2} ^{2} - y_{1} ^{2} )}[/tex]

Given that x1 = -1, x2= 11, y1= 7, and y2= -1.

Substituting the given values in the above equation

[tex]AB=\sqrt{(11^{2}-(-1)^2 )+((-1)^2-7^2)}[/tex]

[tex]AB=\sqrt{72} = 8.48[/tex]

Hence, 8.48 unit is the length of line segment AB.

To learn more about length, use the link given below:

https://brainly.com/question/8552546

#SPJ2

Answer:

x = number of bicycles = 35

y = number of cars = 55

Step-by-step explanation:

Let

x = number of bicycles

y = number of cars

x + y = 80 (1)

2x + 4y = 270 (2)

From (1)

x = 80 - y

Substitute x = 80 - y into (2)

2x + 4y = 270 (2)

2(80 - y) + 4y = 270

160 - 2y + 4y = 270

- 2y + 4y = 270 - 160

2y = 110

y = 110/2

y = 55

Substitute y = 55 into (1)

x + y = 80 (1)

x + 55 = 80

x = 80 - 55

x = 35

x = number of bicycles = 35

y = number of cars = 55

Answer:

Maximum at (-5, 3)

Step-by-step explanation:

The quadratic equation is in vertex form, which specifically shows the vertex.

Since the a is negative, you get a maximum y value of 3.

Vertex form: y=a(x-h)^2+k

Answer:

(12, 2 )

Step-by-step explanation:

Given (x, y ) on the graph of f(x) , then on the inverse function

(x, y ) → (y, x ), then

(2, 12 ) → (12, 2 ) ← point on g(x) the inverse function

Hello,

A:

[tex]\begin{array}{c|ccc|c}&x^3&x^2&x&1\\&1&-a&b&c\\x=-1&&-1&a+1&-a-b-1\\---&---&---&---&---\\&1&-a-1&a+b+1&-a-b+c-1\\\end{array}\\\\\\\begin{array}{c|ccc|c}&x^3&x^2&x&1\\&1&-a&b&c\\x=2&&2&-2a+4&-4a+2b+8\\---&---&---&---&---\\&1&-a+2&-2a+b+4&-4a+2b+c+8\\\end{array}\\\\\\\\-a-b+c-1=-4a+2b+c+8\\\\\boxed{b=a-3}\\[/tex]

B:

[tex](2x-1)^3+6(3+4x^2)\\\\=8x^3-12x^2+6x-1+18+24x^2\\\\=8x^3+12x^2+6x+17\\\\\\\begin{array}{c|ccc|c}&x^3&x^2&x&1\\&8&12&6&17\\x=-\dfrac{1}{2} &&-4&-4&-1\\---&---&---&---&---\\&8&8&2&16\\\end{array}\\\\\\(2x-1)^3+6(3+4x^2)=(2x+1)(4x^2+4x+1)+16[/tex]

Answer:

a. 18

Step-by-step explanation:

AB+BC = AC

x + x = 36

2x = 36

x = 36/2

x = 18

Explanation:

The "given the customer ordered a cold drink" means we only focus on the bottom row of values. There are B = 8+12+5 = 25 people who ordered a cold drink. Of that total, A = 5 people ordered a cold large drink.

The probability we want is A/B = 5/25 = 1/5 = 0.20 = 20%

f ( - 2 ) = 5 × 3^( - 2 )

f ( - 2 ) = 5 × 1/9

f ( - 2 ) = 5/9

Answer:

1. 3rd option

2. 4th option

3. 1st option

4. 2nd option

5. 2nd option

Step-by-step explanation:

1.

on changing the signs of an equality the sign gets reveresd

-6 < -2x

6 > 2x

3 > x

2.

2x - 3 > 11 - 5x

(2x + 5x) + (-3 + 3) > (11 + 3) + (-5x + 5x)

7x > 14

x > 2

put of all the options x = 4 is a value greater than 2 thus satisfying the condition.

3.

6k + 10. 5 = 3k + 12

(6k - 3k) + (10.5 - 10.5) = (3k - 3k) + (12 - 10.5)

3k = 1.5

k = 0.5

4.

y + 3 = -y + 9

(y + y) + (3 - 3) = (-y + y) + (9 - 3)

2y = 6

y = 3

5.

-9x + 1 = -x + 17

adding x and subtracting 1 from both sides

(-9x + x) + (1 -1) = (-x +x) + (17 -1)

-8x = 16

multiplying the equation by -1

8x = -16

diving both sides by 8

x = -2

Answer:

[tex]1. \: \: x < 3[/tex]

[tex]2. \: \: 2[/tex]

[tex]3. \: \: k = 0.5[/tex]

[tex]4. \: \: y = 3[/tex]

[tex]5. \: \: x = 12[/tex]

Step-by-step explanation:

[tex]1. \: \: - 2(5 - 4x) < 6x - 4 \\ - 10 + 8x < 6x - 4 \\ - 10 + 2x < - 4 \\ 2x < 6 \\ x < 3[/tex]

[tex]2. \: \: 2x - 3 > 11 - 5x \\ 7x - 3 > 11 \\ 7x > 14 \\ x = 2[/tex]

[tex]3. \: \: 6k + 10.5 = 3k + 12 \\ 3k + 10.5 = 12 \\ 3k = 1.5 \\ k = 0.5[/tex]

[tex]4. \: \: y + 3 = - y + 9 \\ 2y + 3 = 9 \\ 2y = 6 \\ y = 3[/tex]

[tex]5. \: \: - 9x + 1 = - x + 17 \\ - 8x + 1 = 17 \\ - 8x = 16 \\ x = - 2[/tex]

Answer:

50

Step-by-step explanation:

Arc AT the center = angle at the center = 50

Answer:

None of both

Step-by-step explanation:

It say y = lxl

so it mean if y = 3 so x = 3 or -3

Answer:

The length of the lights is 2088 inches

Step-by-step explanation:

The question is mixed up with another (See comment for correct question)

Given

[tex]Length = 799in[/tex]

[tex]Width = 245in[/tex]

Required

The perimeter of the deck (this is what the question implies)

The perimeter (P) is:

[tex]P = 2 * (Length + Width)[/tex]

[tex]P = 2 * (799 + 245)[/tex]

[tex]P = 2 * 1044[/tex]

[tex]P = 2088[/tex]

Answer:

Step-by-step explanation:

The first line has slope of a/b and the second one has slope of m/n.

As an ≠ bm ⇒ a.b ≠ m/n, the slopes are different.

Since the slopes are different the lines are not parallel, hence they intersect at one point.

This means there is one solution only.

ax + by = c and mx + ny = d and an # bm then these simultaneous equations have Only one common solution.

[tex]\sf{ }[/tex] [tex]\sf{ }[/tex]

Answer:

y = f(t) = 6t + 50

Step-by-step explanation:

Given:

y = 2x + 50

Where,

x = 3t

Substitute x = 3t into the equation

y = 2x + 50

y = 2(3t) + 50

Open parenthesis

y = 6t + 50

y = f(t) = 6t + 50

Answer:

M= 6, -1

Step-by-step explanation:

Factoring these numbers, it will result in (m-6)(m+1). So, m= 6,-1

Answer:

the distance is 16

Step-by-step explanation:

Hi there!

We are given point A (-4,-13) and point B (-4,3). We need to find the distance between those two points

the distance formula is given as [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2}[/tex] where ([tex]x_{1}[/tex],[tex]y_{1}[/tex]) and ([tex]x_{2}[/tex], [tex]y_{2}[/tex]) are points

we are given 2 points, which is what we need for the formula. However, let's label the values of the points to avoid any confusion

[tex]x_{1}[/tex]=-4

[tex]y_{1}[/tex]=-13

[tex]x_{2}[/tex]=-4

[tex]y_{2}[/tex]=3

now substitute those values into the formula. Remember: the formula uses SUBTRACTION.

[tex]\sqrt{(-4--4)^2+(3--13)^2}[/tex]

simplify

[tex]\sqrt{(-4+4)^2+(3+13)^2}[/tex]

now add the values inside the parenthesis that are under the radical

[tex]\sqrt{(0)^2+(16)^2}[/tex]

raise everything under the radical to the second power

[tex]\sqrt{0+256}[/tex]

add under the radical

[tex]\sqrt{256}[/tex]

now take the square root of 256

[tex]\sqrt{256}[/tex]=16

so the distance between point A and point B is 16

Hope this helps! :)