Evaluate f(x)=−7x−5 when x=−6.

f(−6)=

Answer:

x=5

Step-by-step explanation:

2x-3(3x-11)= -2

2x-9x+33= -2

-7x-33= -2

-7x= -33-2

-7x= -35

÷ -7= ÷ -7

x= 5

Answer: 6,-6

Step-by-step explanation:

Because when you add the same number and one of them is a negative it will always be a zero. For example: (-2+2)= 0

I'm sorry if this didn't help.

Answer:

well I'm not sure which way u want me to go so i'll do both ways

-31 orr if your going the other way, -45

Answer:

The slope is 3.

Step-by-step explanation:

The equation for slope is either [tex]\frac{y2-y1}{x2-x1}[/tex] or [tex]\frac{y1-y2}{x1-x2}[/tex]. So this should be [tex]\frac{19-13}{6-4}[/tex], which is 3.

Answer:

Slope =

6

—

2

Step-by-step explanation:

First find the rise over run

Second use the format

Y2-y1

———-

X2-x1

Using the format you will get this

19-13

——

6-4

Next solve

Which then you get

6

—

2

Answer:

So it depreciates at a rate of 1.4% so 25% a year and you do £2700 multiply by 25 each year £2700 multiply by 25 x 5 = £540 in 5 years

Step-by-step explanation:

Answer:

£

2516.22

Step-by-step explanation:

£

2516.22

Answer:

Not sure what you wanted but here Divide each term by

−

5

-

5

and simplify.

Exact Form:

k

=

−

12

5

k

=

-

12

5

Decimal Form:

k

=

−

2.4

k

=

-

2.4

Mixed Number Form:

k

=

−

2

2

5

Step-by-step explanation:

Answer:

k= -2.4

Step-by-step explanation:

Answer in interval notation is  (-3, 1)

This is the same as saying -3 < x < 1

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

Explanation:

Since y = f(x), this means we're looking for points on the red curve such that they have a negative y coordinate. Visually, we're looking for points that are below the horizontal x axis.

These points are shown in the diagram below. I've marked the section we're after in blue. This blue section spans from x = -3 to x = 1. We exclude both endpoints because each x value leads to f(x) = 0, but we want f(x) values smaller than zero.

Answer:

10cm

Step-by-step explanation:

CDB and CEA are similar=>CD/CE=DB/EA=>5/9=DB/18=>

9DB=90

DB=10

The required length of DB in the diagram below is 10 cm.

Triangle is a polygon that has three sides and three angles. The sum of the angle of the triangle is 180 degrees.

Given:

In the given triangle we have

СD=5 cm

DE= 4 cm

EA= 18 cm

According to given question we have

In a triangle CDB and CEA are similar

So,

[tex]\frac{CD}{CE} =\frac{DB}{EA}\\\\=\frac{5}{9} =\frac{DB}{18}\\\\=9DB=90\\\\DB=10[/tex]

Therefore, the required length of DB in the diagram below is 10 cm.

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Answer:

Area of B =80

I hope it's helps you

Answer:

$17.22 was spent on a pass and $8.94 on lunch for each student and that implies a total of $26.16 was spent on each student

Step-by-step explanation:

Answer:

Yes, that is correct. Congrats 7 year old.

Step-by-step explanation:

2 plus 2 equals 4

:)

thanks for points

Answer: 18 feet

Step-by-step explanation:

Well, first we need to find the circumference because that is the outside of the pipe.

Circumference = 2 x Pi x Radius

Radius is half of diameter.

So we plug in all the values in to the formula.

2 x Pi x 6 inches = Circumference

12Pi = 37.69911184 inches

37 inches to feet = about 3 feet.

3 x 6 = 18 feet.

Answer: 4.8lbs, This claim is false

Step-by-step explanation:

Leo weighs 192 pounds. Then Leo's heart weight will be 76.258 ounces. So, its claim is false.

A ratio is a group of sequentially ordered numbers a and b expressed as a/b, where b is never equal to zero. When two objects are equal, a statement is said to be proportional.

Hummingbirds have abnormally huge hearts for their body size. In the event that an individual's heart was essentially as large as a hummingbird's, their heart would weigh as much as an enormous canine's. A typical hummingbird weighs 0.3524 ounces and has a heart that weighs 0.00875 ounces.

The ratio of heart to weight is given as,

Ratio = 0.00875 / 0.3524

Ratio = 0.024829

The average weight of a large dog is usually more than 80 pounds. Leo weighs 192 pounds. Then Leo's heart weight is calculated as,

⇒ 0.024829 x 192 x 16

⇒ 76.28 ounces

Their heart weight of Leo is less than the weight of the dog. So, its claim is false.

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Answer:

slope = 2/3

Step-by-step explanation:

Answer:

25

Step-by-step explanation:

An unknown number of people signed up for the class. Let the total number of people who signed up be x.

56% of the people who signed up are beginners. 14 people are beginners.

That means that

56% of the people who signed up is 14 people.

56% of x = 14

56% * x = 14

0.56x = 14

Divide both sides by 0.56.

0.56x/0.56 = 14/0.56

x = 25

Answer: 25

Answer:

Sarah: £15

Fiona: £15

David: £10

Step-by-step explanation:

3 + 3 + 2 = 8

40 ÷ 8 = 5

3 × 5 = 15

3 × 5 = 15

2 × 5 = 10

Answer:

A= -8

Step-by-step explanation:

Subtract 5a from both sides.

Combine 4a and −5a to get −a.

Add 7 to both sides.

Finally, Multiply both sides by −1.

Pls mark brainliest.

Answer:

a = -8

Step-by-step explanation:

4a - 7 = 5a + 1

subtract 1 from both sides of the equation

4a - 7 - 1 = 5a + 1 - 1

4a - 7 - 1 = 5a

4a - 8 = 5a

subtract 4a from both sides of the equation

4a - 4a - 8 = 5a - 4a

-8 = 5a - 4a

-8 = 1a

-8 = a

Answer:

1 》let equal side be X and other side y

now, length of y= 2x sin teta/2

=12.3×sin42/2

=12.3 × sin21

=4.407

Answer:

u < 35/8

Step-by-step explanation:

u < 35/8 (divide by 8)

Answer:

x = 11

Step-by-step explanation:

3(x-5) = 18

Step one: Distrubute 3 to the numbers in the parenthesis.

3x - 15 = 18

Step two: Add 15 on both sides

3x = 33

Step three: Divide by 3 on both sides

x = 11

Answer:  \frac{2}{5}  ; or, write in decimal form:  0.4 .

Step-by-step explanation:

Rewrite as:

_______________________

    [tex]\frac{4x}{7} = \frac{8}{35}[/tex] ;

________________________

Now, "Cross-factor multiply":

that is:

_____________________

 → Given:   [tex]\frac{a}{b} =\frac{c}{d}[/tex]  ;

    → ad = bc ;  (b≠0 ; d≠0) ;

_____________________

As such:

 4x * 35 = 7 * 8 ;

_______________________

We can divide one side of the equatiuon by "4" ; and one side by "7" :

  [tex]\frac{4x*35}{4*7} = \frac{7*8}{4*7}[/tex] ;

_______________________

We can simplify the "left-hand side":

 "4/4 = 1 " ; and "35/7 = 5 " ; & we are left with "x * 5" ; or "5x " .

________________________

We can simplify the "right-hand side":

 "7/7 = 1 " ; and: "8/4 =2 " ; to get: "2/1" ; which equals "2".

_________________________

So; we have:  " 5x = 2 " ; Solve for "x" ;

__________________________

  Divide each side of the equation by "5" ; to isolate "x" on one ide of the equation; & to solve for: "x" ;

__________________________

  " 5x/5 = 2/5 " ;  We cancel out the "5x/5" to "1x"; which equals "x":

    → x = [tex]\frac{2}{5}[/tex]  ;  or, write in decimal format:  "x = 0.4" ;

___________________________

\frac{2}{5}

____________________________

Hope this is helpful!  Best wishes in your academic pursuits—and within the "Brainly" community!

____________________________

Answer:

[tex]x = 0.4[/tex]

Step-by-step explanation:

[tex]\frac{7}{4} x \frac{4}{7} = \frac{7}{4} x \frac{8}{35}[/tex]

Reduce the number with the greatest common factor 7

[tex]\frac{1}{4} x 4x= \frac{7}{4}x\frac{8}{35}[/tex]

[tex]x=\frac{7}{4}x\frac{8}{35}[/tex]

[tex]x=7x\frac{2}{35}[/tex]

[tex]x=\frac{2}{5}[/tex]

Answer:

Its the second option

Step-by-step explanation:

Answer:

Volume of the Tetrahedron T =[tex]\frac{1}{3}[/tex]

Step-by-step explanation:

As given, The tetrahedron T is bounded by the planes x + 2y + z = 2, x = 2y, x = 0, and z = 0

We have,

z = 0 and x + 2y + z = 2

⇒ z = 2 - x - 2y

∴ The limits of z are :

0 ≤ z ≤ 2 - x - 2y

Now, in the xy- plane , the equations becomes

x + 2y = 2 , x = 2y , x = 0 ( As in xy- plane , z = 0)

Firstly , we find the intersection between the lines x = 2y and x + 2y = 2

∴ we get

2y + 2y = 2

⇒4y = 2

⇒y = [tex]\frac{2}{4} = \frac{1}{2}[/tex] = 0.5

⇒x = 2([tex]\frac{1}{2}[/tex]) = 1

So, the intersection point is ( 1, 0.5)

As we have x = 0 and x = 1

∴ The limits of x are :

0 ≤ x ≤ 1

Also,

x = 2y

⇒y = [tex]\frac{x}{2}[/tex]

and x + 2y = 2

⇒2y = 2 - x

⇒y = 1 - [tex]\frac{x}{2}[/tex]

∴ The limits of y are :

[tex]\frac{x}{2}[/tex] ≤ y ≤ 1 - [tex]\frac{x}{2}[/tex]

So, we get

Volume = [tex]\int\limits^1_0 {\int\limits^{1-\frac{x}{2}}_{y = \frac{x}{2}}\int\limits^{2-x-2y}_{z=0} {dz} \, dy \, dx[/tex]

             = [tex]\int\limits^1_0 {\int\limits^{1-\frac{x}{2}}_{y = \frac{x}{2}}{[z]}\limits^{2-x-2y}_0 {} \, \, dy \, dx[/tex]

             = [tex]\int\limits^1_0 {\int\limits^{1-\frac{x}{2}}_{y = \frac{x}{2}}{(2-x-2y)} \, \, dy \, dx[/tex]

             = [tex]\int\limits^1_0 {[2y-xy-y^{2} ]}\limits^{1-\frac{x}{2}} _{\frac{x}{2} } {} \, \, dx[/tex]

             = [tex]\int\limits^1_0 {[2(1-\frac{x}{2} - \frac{x}{2}) -x(1-\frac{x}{2} - \frac{x}{2}) -(1-\frac{x}{2}) ^{2} + (\frac{x}{2} )^{2} ] {} \, \, dx[/tex]

             = [tex]\int\limits^1_0 {(1 - 2x + x^{2} )} \, \, dx[/tex]

             = [tex]{(x - x^{2} + \frac{x^{3}}{3} )}\limits^1_0[/tex]

             = 1 - 1² + [tex]\frac{1^{3} }{3}[/tex] - 0 + 0 - 0

             = 1 - 1 + [tex]\frac{1 }{3}[/tex] =  [tex]\frac{1}{3}[/tex]

So, we get

Volume =[tex]\frac{1}{3}[/tex]

The volume of Tetrahedron will be [tex]\frac{1}{3}[/tex] units.

Given,

The tetrahedron T is bounded by the planes,

[tex]x+2y+z=2......(1)\\ x=2y....(2)\\ x=0......(3) \\ z=0.....(4)[/tex]

From equation (1),

[tex]z=2-x-2y[/tex]

So the limits of z will be from 0 to [tex]2-x-2y[/tex].

Now, from equation (2),

[tex]y=\frac{x}{2}[/tex]

and from equation (1), putting z=0 we get,

[tex]x+2y=2\\y=1-\frac{x}{2}[/tex]

So the limits of y will be from [tex]\frac{x}{2}[/tex] to [tex]1-\frac{x}{2}[/tex].

On solving equation (1), for x we get

[tex]x+x+0=2[/tex] [tex](x=2y \ and \ z=0 )[/tex]

[tex]x=1[/tex].

So the limits of x will be from 0 to 1.

The volume of tetrahedron will be,

[tex]V=\int\limits^1_0 \, dx \int\limits^{1-\frac{x}{2} }_{\frac{x}{2} } \, dy \int\limits^{2-x-2y}_0 \, dz[/tex]

[tex]V=\int\limits^1_0 \, dx \int\limits^{1-\frac{x}{2} }_{\frac{x}{2} } \, dy [2-x-2y-0][/tex]

[tex]V=\int\limits^1_0 \, dx (1-2x+x^2)\\[/tex]

[tex]V=1-1+\frac{1}{3}[/tex]

[tex]V=\dfrac{1}{3}[/tex]

Hence the volume of tetrahedron is [tex]\frac{1}{3}[/tex] units.

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Answer:

Step-by-step explanation:

131.95

The volume of cylinder and cone are [tex]36\pi[/tex] cubic unit.

It is given by formula, [tex]V=\pi r^{2}h[/tex]

Where r is base radius and h is height of cylinder.

Given that,  [tex]r=3,h=4[/tex]

Substitute values in above formula,

         [tex]V=\pi*3^{2} *4=36\pi[/tex]

Volume of the cone is,

                 [tex]V=\frac{1}{3} \pi r^{2}h[/tex]

Given that, [tex]r=3,h=3*4=12[/tex]

Substitute values in above formula.

    [tex]V=\frac{1}{3}\pi*3^{2}*12=36\pi[/tex]

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Answer:

580 seedlings altogether.

Step-by-step explanation:

Given that,

Ali plants 40% of the total number of seedlings, Ben plants 45% of the total number of seedlings, and Cliff plants the rest of the seedlings. Cliff plants 87 seedlings.

The percentage of the seedling planted by Cliff = 100% - 45% - 40% = 15%

Let x = the total number of seedlings

[tex]15\%\ of\ x=87\\\\x=\dfrac{87\times 100}{15}\\\\x=580[/tex]

Hence, three boys plant 580 seedlings altogether.

The value of midpoint of AC will be 0.5.

Number line is a horizontal line where numbers are marked at equal intervals one after another form smaller to greater.

Given that;

Point A is at - 2 and C is at 3 on the number line.

Now,

Since, Point A is at - 2 and C is at 3 on the number line.

Hence, The midpoint of AC = (- 2 + 3 ) / 2

                                           = 1/2

                                           = 0.5

Thus, The midpoint of AC = 0.5

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