How do I post a picture

Answer:

(a) draw the graph using these coordinates :

(0,-1) and (3,1)

(b) x = 3

Answer:

261

Step-by-step explanation:

Answer:

Katie gave away 261 gel pens.

Step-by-step explanation:

3/4 ÷348= 261

Answer & Step-by-step explanation:

[tex]\frac{1}{4}(x+5)^2-1=3[/tex]

Add 1 to both sides.

[tex]\frac{1}{4}(x+5)^2=4[/tex]

Multiply both sides by 4.

[tex](x+5)^2=16[/tex]

Take the square root of both sides.

[tex]\sqrt{(x+5)^2} =\sqrt{16}[/tex]

[tex]x+5=4[/tex]

Subtract 5 from both sides.

[tex]x=-1[/tex]

Answer:

14

Divide

12 and 1 over 412

1

4

÷ 7 over 8

7

8

= 392 over 28

392

28

Step 1 of 2: Divide, sub-step a: Convert mixed number to improper fraction.

Convert mixed number to improper fraction

12 and 1 over 412

1

4

= ( 12 × 4 ) over 4

12 × 4

4

+ 1 over 4

1

4

= ( 48 + 1 ) over 4

48 + 1

4

= 49 over 4

49

4

Step 1 of 2: Divide, sub-step b: Divide.

Divide

49 over 4

49

4

÷ 7 over 8

7

8

= 49 over 4

49

4

× 8 over 7

8

7

= ( 49 × 8 ) over ( 4 × 7 )

49 × 8

4 × 7

= 392 over 28

392

28

To divide fractions, invert the second one (turn it upside-down), then multiply the numerators and denominators.Divide

12 and 1 over 412

1

4

÷ 7 over 8

7

8

= 392 over 28

392

28

Step 1 of 2: Divide, sub-step a: Convert mixed number to improper fraction.

Convert mixed number to improper fraction

12 and 1 over 412

1

4

= ( 12 × 4 ) over 4

12 × 4

4

+ 1 over 4

1

4

= ( 48 + 1 ) over 4

48 + 1

4

= 49 over 4

49

4

Step 1 of 2: Divide, sub-step b: Divide.

Divide

49 over 4

49

4

÷ 7 over 8

7

8

= 49 over 4

49

4

× 8 over 7

8

7

= ( 49 × 8 ) over ( 4 × 7 )

49 × 8

4 × 7

= 392 over 28

392

28

To divide fractions, invert the second one (turn it upside-down), then multiply the numerators and denominators.

Answer:

Step-by-step explanation:

Initial prediction of sales = 45 automobile

Actual amount sold = 48 automobiles

Absolute error ratio a = actual amount sold - initial prediction/initial prediction

Absolute error ratio a = 48-45/45

Absolute error ratio a = 3/45

%error = actual amount sold - initial prediction/initial prediction * 100%

% absolute error = 48-45/45 * 100

% absolute error = 3/45 * 100

% absolute error b = 6.67%

Answer:

a = Start Fraction 3 over 48 End Fraction; b = 6.25 percent

Step-by-step explanation:

Your Welcome;)

Answer:

C

X=6

Step-by-step explanation:

7+5x-15=22

5x-8=22

5x=22+8

5x=30

X=30/5

X=6

Answer:

Listing method is a method to list all the elements separating each element by the comma and enclosing

Step-by-step explanation:

Answer:

the correct answer is 18 - 5i.

Step-by-step explanation:

Answer:

18-5i

Step-by-step explanation:

Answer:

25/24

Step-by-step explanation:

Let

Sally=S

May=M

Sally is 5/6 as tall

S = 5/6

May is 4/5 as tall

M = 4/5

S/M = 5/6/4/5

=5/6×5/4

=25/24

Answer:

First one

Step-by-step explanation:

Answer:

3/4 using equation y2-y1/x2-x1

Step-by-step explanation:

Use the equation y2-y1/x2-x1

x1, y1  x2, y2

(16,12) (0,0)

0-12/0-16= -12/-16= 3/4

Step-by-step explanation:

1)

In a right triangle longest side is hypotenuse and the remaining two sides represent the perpendicular legs.

Hence, from the given question it is obvious that 25 is hypotenuse and 20 and 15 are perpendicular legs.

Now, by Pythagorean theorem:

[tex] (one\: side) ^2 +(other \: side) ^2 = (hypotenuse) ^2

\\\\\therefore 20^2 +15^2 =25^2[/tex]

2)

Because all right triangles have one hypotenuse and two perpendicular legs.

Answer:

32°

Step-by-step explanation:

Given:

∠DMQ = 58º

In this circle, the radius is DM. Since AD is tangent to the circle M, at point D, and the angle between a tangent and a radius is 90°

Therefore, ∠MDQ = 90°

The total angle in a triangle is 180°. Since we have the values of ∠MDQ and ∠DMQ, ∠DQM will be calculated as:

180 = ∠DMQ + ∠MDQ + ∠DQM

Solving for ∠DQM, we have:

∠DQM = 180 - ∠DMQ - ∠MDQ

∠DQM = 180 - 90 - 58

∠DQM = 32°

The measure of ∠DQM is 32°

Answer:

a > -21 1/3

Step-by-step explanation:

3/4a > -16

Multiply each side by 4/3

4/3 * 3/4a > -16 * 4/3

a > -64/3

a > -21 1/3

Answer:

x = 20°

Step-by-step explanation:

4x + 10 = 90

4x = 80

x = 20

Answer:

[tex] \boxed{x\degree = 20\degree} [/tex]

Step-by-step explanation:

Two Angles are Complementary when they add up to 90° (a Right Angle).

[tex] = > x\degree + (3x + 10)\degree = 90\degree \\ \\ = > x\degree + 3x\degree + 10\degree = 90\degree \\ \\ = > 4x\degree + 10\degree = 90\degree \\ \\ = > 4x\degree = 90\degree - 10\degree \\ \\ = > 4x\degree = 80\degree \\ \\ = > x\degree = \frac{80}{4} \degree \\ \\ = > x\degree = 20\degree [/tex]

Answer:

903 sq. cm.

Step-by-step explanation:

It is given that the length of two parallel sides of a trapezium are 91 cm and 51 cm and the length of two other side 37 CM and 13 cm respectively.

Now draw a dotted line as shown in the below figure. So, we have a triangle with sides 13 cm, 37 cm, 40cm and a parallelogram with sides 51 cm, 13 cm.

Area of parallelogram is

[tex]A_1=base\times height[/tex]

[tex]A_1=51\times 13[/tex]

[tex]A_1=663[/tex]

Using heron's formula, area of triangle is

[tex]A=\sqrt{s(s-a)(s-b)(s-c)}[/tex]

where, [tex]s=\dfrac{a+b+c}{2}[/tex].

The sides of triangle are 13cm, 37 cm, and 40 cm.

[tex]s=\dfrac{13+37+40}{2}=45[/tex]

Area of triangle is

[tex]A=\sqrt{45(45-13)(45-37)(45-40)}=240[/tex]

The area of trapezium is

[tex]A=A_1+A_2=663+240=903[/tex]

Therefore, the area of trapezium is 903 sq. cm.

Answer:

525 mm

Step-by-step explanation:

The edges of A : B = 2.5, thus

The perimeters of A : B = 2.5

Thus the perimeter of B is 2.5 times the perimeter of A

perimeter of B = 2.5 × 210 mm = 525 mm

Answer:

i hope this helps you

Answer:

-40

Step-by-step explanation:

-20-(-5)*(-2^2)

- and a - = positive

-2^2 = -4 but if it was (-2)^2 then it would be 4

-20+5*(-4)

order of operations

-20-20

-40

hope this helps

Answer:

(QUESTION CORRECTNESS : 2/3 OF MEN ARE MARRIED TO 3/4 OF WOMEN)

Part of Entire Population married = 12/17 = 70.58%

Step-by-step explanation:

Fraction of men married:

[tex]\frac{2}{3}=\frac{4}{6}=\frac{6}{9}=\frac{8}{12}..........[/tex]

Fraction of women married:

[tex]\frac{3}{4}=\frac{6}{8}=\frac{9}{12}=\frac{12}{16} .........[/tex]

To solve the problem, we know that number of husbands should be equal to number of wives.

Number of husbands and wives are represented by the numerators of both fractions.

We have to find such a multiple of each fraction such that there numerator are same.

Let fraction of men married:  [tex]\frac{6}{9}[/tex]

Let fraction of women married:  [tex]\frac{6}{8}[/tex]

Add the numerators and denominator to find the solution:

[tex]\frac{6+6}{9+8}= \frac{12}{17}[/tex]

Answer:

the answer is

length * width

or side * side

Step-by-step explanation:

Answer:

Below:

Hope this helps :DDD

Step-by-step explanation:

Area of rectangle / square / parallelogram: Base * height

Area of triangle: [tex]\frac{Base*height}{2}[/tex]

Area of equilateral triangle: [tex]\frac{\sqrt{3} }{4} side^2[/tex]

Area of trapezoid:  [tex]\frac{Base1 + Base2}{2}*height[/tex]

Area of circle: [tex]\pi r^2[/tex]

Area of rhombus / kite: [tex]\frac{Diagonal1 * Diagonal2}{2}[/tex]

Answer:

Coefficient

Step-by-step explanation:

The blank word is coefficient.

Coefficient is a number written with a variable to indicate the product of the number and the variable in a term.

One mathematical expression makes up a term. It might be a single variable (a letter), a single number (positive or negative), or a number of variables multiplied but never added or subtracted. Variables in certain words have a number in front of them. A coefficient is the number used before a phrase.

Let the expression,

y = mx.

Here, x and y are the variables.

And m is the constant.

So, m is multiplied to the variable x.

That means, coefficient is a number written with a variable to indicate the product of the number and the variable in a term.

Therefore, coefficient is a number written with a variable to indicate the product of the number and the variable in a term.

To learn more about the expression;

brainly.com/question/24242989  

#SPJ6

One-to-One Functions. ... If no horizontal line intersects the graph of the function f in more than one point, then the function is 1 -to- 1 . A function f has an inverse f−1 (read f inverse) if and only if the function is 1 -to- 1 .

Answer:

x = -4

Step-by-step explanation:

1. (2x2 +  8x) -  (x2 - 16)  = 0

2. Factoring  x2+8x+16  

The first term is,  x2  its coefficient is  1 .

The middle term is,  +8x  its coefficient is  8 .

The last term, "the constant", is  +16  

Step-1 : Multiply the coefficient of the first term by the constant   1 • 16 = 16  

Step-2 : Find two factors of  16  whose sum equals the coefficient of the middle term, which is   8 .

     -16    +    -1    =    -17  

     -8    +    -2    =    -10  

     -4    +    -4    =    -8  

     -2    +    -8    =    -10  

     -1    +    -16    =    -17  

     1    +    16    =    17  

     2    +    8    =    10  

     4    +    4    =    8    That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  4  and  4  

                    x2 + 4x + 4x + 16

Step-4 : Add up the first 2 terms, pulling out like factors :

                   x • (x+4)

             Add up the last 2 terms, pulling out common factors :

                   4 • (x+4)

Step-5 : Add up the four terms of step 4 :

                   (x+4)  •  (x+4)

            Which is the desired factorization

Multiply  (x+4)  by  (x+4)  

The rule says : To multiply exponential expressions which have the same base, add up their exponents.

In our case, the common base is  (x+4)  and the exponents are :

         1 , as  (x+4)  is the same number as  (x+4)1  

and   1 , as  (x+4)  is the same number as  (x+4)1  

The product is therefore,  (x+4)(1+1) = (x+4)2

(x + 4)2  = 0

3.

Solve  :    (x+4)2 = 0  

 (x+4) 2 represents, in effect, a product of 2 terms which is equal to zero

For the product to be zero, at least one of these terms must be zero. Since all these terms are equal to each other, it actually means :   x+4  = 0

Subtract  4  from both sides of the equation :  

                     x = -4

Answer:

x = -4

Step-by-step explanation:

=> 2x²+8x = x²-16

=> 2x²- x² + 8x + 16 = 0

=> x² + 8x + 16 = 0

Using mid-term break formula

=> x² + 4x + 4x + 16 = 0

=> x(x+4)+4(x+4) = 0

=> (x+4)(x+4) = 0

=> (x+4)² = 0

Taking square root on both sides

=> x+4 = 0

=> x = -4

Answer:

Average: Add all and divide by 6

that gives us 92/6 = 15.333... or 15

Median: order it:

9, 14, 14, 18, 18, 19

median is 16

2 averages

Median: 16

Average: 15.33.. or 15

Outlier: 9

Answer:

You can't use this rule because the two exponents have different bases. In order to use this rule the two exponents must have the same base.

Answer:

It is because both expressions have different base value. For this question, the bases are 3 and 2 where the product rule cannot be applied. Product rule can only be used when both expressions have the same bases.

Answer:

see below

Step-by-step explanation:

f(x) = x^2 – 2x – 3

To find the roots, set the equation equal to zero

0  = x^2 – 2x – 3

Factor, what two numbers multiply to -3 and add to -2

-3 * 1 = -3

-3 + 1 = -2

0 = (x-3)( x+1)

Using the zero product property

x-3 =0   x+1 =0

x=3          x=-1

Answer:

3

Step-by-step explanation:

cuz i said so lol