What is the slope of the line in the graph?

Answer:

x=1/4

Step-by-step explanation:

1.distribute the 7 and 3 into parentheses

2. combine like terms

3. add 9 on both sides

4. divide both sides by 4

x=1/4

hope this helped!

Answer:

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

Step-by-step explanation:

7(x-3)+3(4-x)= -8

Expand 7(x-3) and 3(4-x)

i.e. 7x-21+12-3x= -8

4x-9=-8

Collect like terms

4x= -8+9

4x= 1

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

Hope this helps!!!

Answer:

4 11/12

Step-by-step explanation:

x2−4x−12<0

x2+10x−24<0

x−1=2y

x=−5912

Decimal Form:

x=−4.91¯6

Mixed Number Form:

x=−4 11/12

Answer:

There is no solution to this.

Step-by-step explanation:

Maybe check for a typo?

you would first need to calculate the discriminant, D= b^2-4 a c

D= (-12)^2 -4*1*59

Simplify

D=-92

Since D<0, the quadratic equation has no real solutions.

Answer:

- 3a -16b

Step-by-step explanation:

Answer:

$3600

Step-by-step explanation:

Given:

Total income T = $18,000

Fraction of income spent on house rent f1 = 1/5

Fraction of income spent on other expenditures f2 = 3/5

Fraction of income saved is;

f = 1 - (1/5+3/5) = 1 - 4/5

f = 1/5

The Amount he save is A;

A = fraction saved × total amount = f × T

Substituting the values

A = 1/5 × $18,000

A = $3,600

The Amount he save is $3,600

Answer: Varun saves 3,600 every month

Step-by-step explanation: Varun's income in the first instance is fixed at 18000, and out of this amount he spends 1/5 on house rent. We shall now determine the amount represented by 1/5 as follows;

Total income = 18000

House rent = 1/5

Rent expense = 1/5 of 18000

Rent expense = 1/5 * 18000

Rent expense = 3600

he also spends 3/5 on other expenditure

Other expenditure = 3/5 of 18000

Other expenditure = 3/5 * 18000

Other expenditure = (3 * 18000)/5

Other expenditure = 54000/5

Other expenditure = 10800

His expenses therefore have been derived as

Total expenditure = 3600 + 10800

Total expenditure = 14400

His savings per month therefore is derived as;

Total income - total expenditure = savings

18000 - 14400 = savings

3600 = savings

Therefore, Varun saves 3,600 every month

Answer:

Step-by-step explanation:

:D

Answer:

(a) The strip should be 5ft wide

(b) The strip around the outside field is 10ft wide.

Step-by-step explanation:

Given:

Length of the rectangular field, L= 200 ft

width of the rectangular field, w = 100 ft

Area of the rectangular field, A = 200ft x 100ft = 20000 ft^2

let the width of the strip = x

The strip around the outside field = 2x

If the field is increased by 15.5%

New area of the field = 1.155 x 20000 = 23,100 ft^2

The increase in area of the field = 3,100 ft

3,100 = New area of field - old area of the field

3100 = (200 + 2x)(100 + 2x) - 20000

3100 = 20000 + 400x 200x + 4x^2 - 20000

3100 = 600x + 4x^2

Divide through by 4

775 = 150x + x^2

x^2 + 150x - 775 = 0

Factorize

(x + 155)(x-5) = 0

x = 5 ft

The strip should be 5ft wide.

The strip around the outside field = 2 x 5 ft = 10 ft

Thus, the strip around the outside field is 10ft wide.

Answer: (5,7)

Step-by-step explanation:

We want to find the image of a point after a given translation.

The image of the point (-5, 2) under the translation T(3, -4) is the point (-2, -2)

First, we can define how a general translation T(a, b) affects a general point (x, y).

It will add a units to the x-value and b units to the y-value, then we have:

T(a,b)[(x, y)] = (x + a, y + b).

Now we just need to apply the translation:

T(3, -4) to the point (-5, 2)

It gives:

T(3, -4)[(-5, 2)] = (-5 + 3, 2 + (-4)) = (-2, -2)

So the image of the point (-5, 2) under the translation T(3, -4) is the point (-2, -2)

If you want to learn more, you can read:

https://brainly.com/question/16874971

Answer:

242

Step-by-step explanation:

Here, we want to calculate t15 + t25

Mathematically, nth term is

a + (n-1)d

here, a = 26 and d = 31-26 = 5

t15 = 26 + (15-1)5

t15 = 26 + 70

t15 = 96

t25 = 26 + (25-1)5

t25 = 26 + 120

t25 = 146

t15 + t25 = 96 + 146 = 242

Answer:

a. 34

b. 0

Step-by-step explanation:

you plug the n values as n

note when -n^2, you do this:

        [tex]-(2)^{2}[/tex]= -4

so don't mistake it for +4

pay special attention to the signs to solve like:

+ times - is a negative!

Answer:

Simplified Expression a ) 2n^2 + 7n - 5,

Simplified Expression b ) 8n^2 - 11n - 10,

When n = 3 part a ) 34,

When n = 2 part a ) 17,

When n = 3 part b ) 29,

When n = 2 part a ) 0

Step-by-step explanation:

Consider the " simplification " process at hand;

[tex]a ) (5n^2 + 3n -4) + (-3n^2 + 4n -1),\\5n^2+3n-4-3n^2+4n-1,\\5n^2-3n^2+3n+4n-4-1,\\\\Simplified Expression = 2n^2+7n-5[/tex]

[tex]b ) (7n^2 - 5n - 2) - (-n^2 + 6n + 8),\\7n^2-5n-2+n^2-6n-8,\\\\Simplified Expression = 8n^2-11n-10[/tex]

For each part ( a and b ) I removed the ( ) and grouped like elements to receive the simplified expression;

Value of each polonomial;

[tex]a ) 2n^2 + 7n - 5,\\2 * ( 3 )^2 + 7 * ( 3 ) - 5,\\34\\\\2 * ( 2 )^2 + 7 * ( 2 ) - 5\\17[/tex]

[tex]b ) 8n^2 - 11n - 10,\\8 * ( 3 )^2 - 11 * ( 3 ) - 10,\\29\\\\8 * ( 2 )^2 - 11 * ( 2 ) - 10,\\0[/tex]

Each expression was solved through substitution and algebra.

" Simplified " Solution - See in answer above

* I hope the answer wasn't too confusing, for further information look through my response thoroughly

no. of squares=90

no. of toothpicks=(89*3)+4

=271

rule of patern = 4+3+3...

no. of toothpicks=1000

no. of squares= (996÷3)+1

= 333

Answer:

y = 9x

Step-by-step explanation:

The y intercept is zero since it goes through the point (0,0)

We need to find the slope

m = (y2-y1)/(x2-x1)

   = (9-0)/(1-0)

   = 9/1

Putting this into slope intercept form  y = mx+b

y = 9x +0

y = 9x

Answer: 2,695

Step-by-step explanation:

5-6+8*674/2

Multiply 8 and 674

5-6+5,392/2

Divide 5,392 by 2

5-6 + 2,696

Subtract 6 from 5

-1 + 2,696

Add

2,695

Step-by-step explanation:

5 - 6 = -1

-1 + 8 = 7

7 x 674 = 4,718

4,718 / 2 = 2,359

Answer:

Options A, E

Step-by-step explanation:

If the angle doesn't lie inside this triangle, we can assume it is an exterior angle, provided it is between a side of this triangle and an adjacent side extended outward;

[tex]< 4 - Doesn't Lie In Triangle, - Exterior Angle,\\< 3 - Lies In Triangle, - Interior Angle,\\\\< 6 - Doesn't Lie In Triangle, Execption, - Neither Interior Nor Exterior,\\\\< 1 - Lies In Triangle - Interior Angle,\\< 5 - Doesn't Lie In Triangle - Exterior Angle\\\\< 2 - Lies in Triangle - Interior Angle[/tex]

Refer to Solution below;

A. Check!

E. Check!

Answer:

1 1/5 [tex]\geq[/tex] x  OR one and on fifth is greater than or equal to x.

Step-by-step explanation:

2/5 [tex]\geq[/tex] x - 4/5

To isolate x, we need to add 4/5 to each side:

6/5 [tex]\geq[/tex] x is what we get

We can simplify it to:

1 1/5 [tex]\geq[/tex] x

Add 4/5 to both sides

X <= 6/5

X <= 1 1/5

Answer:

15.23 m

Step-by-step explanation:

The problem given describes the shape of a right angled triangle.

From the diagram below:

The height of the tree is the opposite = 6 m

The distance of the flower from the base of the tree = adjacent = 14 m

The distance the bird must fly to get from the nest to the flower = hypotenuse = h

According to Pythagoras rule:

[tex]hyp^2 = opp^2 + adj^2[/tex]

Therefore:

[tex]h^2 = 6^2 + 14^2\\\\h^2 = 36 + 196\\\\h^2 = 232\\\\h = \sqrt{232} \\\\h = 15.23 m[/tex]

The bird will have to fly 15.23 m to get from its nest to the flower in a direct path.

Answer:

2.45*10^-3

Step-by-step explanation:

The number 0.00245 expressed in standard form is; 2.45 × 10-³.

While expressing numbers in standard form;

We must ensure that only one significant digit appears before the decimal point.

The 10-³ term accounts for the shift of the decimal rightward in a bid to arrive at the first significant digit.

Read more:

https://brainly.com/question/11288844

Answer:

select answers: A), B), C),  D), and E)

Step-by-step explanation:

Please see attached image with the figure obtained by joining the given points.

Notice that the figure is that of a square, and a square happens to be a very special case of a bunch of other figure definitions, like:

rectangle (four side figure with parallel sides and right angles at the vertices) So the square is a special type of rectangle.

Rhombus (four side figure with all sides of the same length) So the square is a special type of rhombus)

Trapezoid (four side figure with at least two parallel sides), So the square is a special type of trapezoid.

Parallelogram (four side figure with two pairs of parallel sides) So the square is a special type of parallelogram.

Therefore you need to select answers: A), B), C),  D), and E)

Answer:

960cm^2

Step-by-step explanation:

surface area = sum of area of one sides

front + back = 336cm^2

side x 2 = 336cm^2

base + top = 288cm^2

sum = 960cm^2

Mark Brainiest, please

Answer:

245/999

Step-by-step explanation:

0.245bar = n

1000 n - n = 245

999n = 245

n = 245/999

Answer:

(x)1.4=Y

Step-by-step explanation:

40% increase of memeber so ita 140% of X

Answer:

9 th term

Step-by-step explanation:

Equate 65 - 4n to 29 and solve for n , that is

65 - 4n = 29 ( subtract 65 from both sides )

- 4n = - 36 ( divide both sides by - 4 )

n = 9

Answer:

-5^x-3x-6

Step-by-step explanation:

(-5^x - 4 + g(x) ) (x)

(-5^x - 4 - 3x -2) simplified  -5^x-3x-6

Answer:

[tex]f(x) = - {5}^{x} - 4 \\ g(x) = - 3x - 2 \\ (f + g)(x) = \\ ( - {5}^{x} - 4) + ( - 3x - 2)[/tex]

[tex]( - {5}^{x} - 4) + ( - 3x - 2) \\ - {5}^{x} - 4 - 3x - 2 \\ collect \: like \: terms \: \\ - {5}^{x} - 3x - 4 - 2 \\ [/tex]

[tex] - {5}^{x} - 3x - 6[/tex]

Answer:

Any set of data that satisfies the 5-Number summary: 1,6,12,16 and 19 can be represented with the box plot.

Step-by-step explanation:

Interpreting Box Plots

A box plot is used to present the 5-Number summary of a set of data.

The 5-Number summary consists of the following in their order of appearance on the box plot.

In the box plot, the following rules applies

Using these, we interpret the given box plot

A left whisker extends from 1 to 6.

The box extends from 6 to 16 and is divided into 2 parts by a vertical line segment at 12.

The right whisker extends from 16 to 19.

Therefore any set of data that satisfies the 5-Number summary: 1,6,12,16 and 19 can be represented with the box plot.

Answer:

5/4 is the slope

Step-by-step explanation:

y= 5/4c- 7/4

This is in the slope intercept form

y = mx+b where m is the slope and b is the y intercept

5/4 is the slope and -7/4 is the y intercept

Answer:

5/4

Step-by-step explanation:

This equation is in slope intercept form (y=mx=b) so when interpreting the information we see that the slope is 5/4.

y = y

m = slope

x = x or in this case they use c

b = y intercept

This equation represents a line that intercepts at -7/4 and has a slope of 5/4. This can be checked by plugging in any point on the line for x and y.

Hope this helps!

Answer:

a

Step-by-step explanation:

b+8=13.

first,you have to make b the subject of the formula (stand alone) and for that to happen +8 will have to cross the equality sign.when a positive sign crosses over the equality sign it changes to a negative sign.

so that would be b=13-8

Therefore,b=5(a)

Multiply number of notebooks by number of pages in each one.

17 x 95 = 1615

The answer is 1,615 total pages

Answer:

A. 1615

Step-by-step explanation:

Solve as shown:

17 books that each have 95 pages equals the total pages.

17(95)=?

17(95)=1615