9. Find the zero of the polynomial in each of the following
i)f(x) = 3x- 5

Answer:

Step-by-step explanation:

x+2y=-2

2y=-x-2

y=-x/2-2/2

y=-x/2-------(1)

y=1/2x-5-----(2)

(1)=(2)

-x/2=1/2x-5

-x=x-10

-2x=-10

x=5

substitute in 2

         y=(1/2)*5-5

           =5/2-5

          =-2.5

Answer:

Step-by-step explanation:

Answer:

Option c points at (-2,0) (-1, 0.5) and (1,1)

Step-by-step explanation:

Answer:

x = 98

Step-by-step explanation:

x and 82 are adjacent angles on a straight line and sum to 180° , then

x + 82 = 180 ( subtract 82 from both sides )

x = 98

Answer:

Expected value is -3

You should not play

Step-by-step explanation:

five are red, five are green, 10 yellow

P(red) = red/total = 5/20 = 1/4

P(green) = green/total = 5/20 = 1/4

P(yellow) = yellow/total =10/20 = 1/2

Expected value = 1/4(18) + 1/4(10) + 1/2(0) - 10 to play

                             =18/4 + 10/4 - 10

                            =28/4 -10

                             =7-10

                             = -3

You should not play

Answer:

B

Step-by-step explanation:

this is just common sense. if you would have tried you could have easily answered this yourself.

the sequence starts with 6. that is a1.

so, the formula simply has to add "something" to 6.

therefore, A and D are out.

and then we see immediately that the sequence is built by subtracting 4 (or adding -4) for every step.

so, we need to add multiples of -4.

therefore, only B is correct (C adds multiples of +4).

Answer:

Step-by-step explanation:

When you learn calculus you'll be able to do this by hand (without a calculator) but for now we have to just kind of guess. We know that 8 x 8 = 64 and 9 x 9 = 81, so the number is between 8 and 9. Since 68 is closer to 64 than it is to 81, the number is closer to 8. Like less than 8.5. 8.1 squared is 65.61, (you can do this by hand...without a calculator) and 8.2 squared is 67.24, and 8.3 squared is 68.89. 8.3 squared is too high while 8.1 squared was too low; the estimation to the nearest tenth is 8.2

số hữu tỉ là các số x có thể biểu diễn dưới dạng phân số [tex]\frac{a}{b}[/tex]  trong đó a và b là các số nguyên với b {\displaystyle \neq }\neq  0.[1] Tập hợp số hữu tỉ ký hiệu là {\displaystyle \mathbb {Q} }{\displaystyle \mathbb {Q} }.[2]

Step-by-step explanat

ion:

Answer:

Step-by-step explanation:

The gometric means G1, G2, G3, 1/4

Answer:

? = 32.20422

Step-by-step explanation:

We know the adjacent side and the hypotenuse

cos ? = adj / hyp

cos ? = 33/39

cos ? = 11/13

Taking the inverse cos of each side

cos ^ -1( cos ?) =  cos^-1(11/13)

? = 32.20422

Answer:

adding 3 to each number.

Step-by-step explanation:

Answer:

A) 3

B)60

C)4

Step-by-step explanation:

y = kx

36 = 12k

A)k=3

~~~~~~~~~~

b) 60

12*5

c) 4  

12/3

Answer:

≅ 53.679

Step-by-step explanation:

tan(x) = opposite leg / adjacent leg

tan(54) = BC / 39

1.37638... = BC / 39

BC = 1.37638... x 39

= 53.67889...

Answer:

[tex](x + 8)(x - 3)[/tex]

Step-by-step explanation:

[tex] {x}^{2} + 5x - 24[/tex]

[tex] {x}^{2} + 8x - 3x - 24[/tex]

Factor by grouping

[tex](x + 8)(x - 3)[/tex]

Answer:

5

Step-by-step explanation:

We know that a^2+b^2=c^2 from the Pythagorean theorem   where a and b are the legs and c is the hypotenuse

4^2+3^2 = c^2

16+9 = c^2

25 = c^2

Taking the square root of each side

sqrt(25) = sqrt(c^2)

5 =c

Answer:

d = 5 m

Step-by-step explanation:

The diagonal divides the rectangle into 2 right triangles with legs 3 and 4 and hypotenuse h

Using Pythagoras' identity in one of the right triangles, then

d² = 3² + 4² = 9 + 16 = 25 ( take the square root of both sides )

d = [tex]\sqrt{25}[/tex] = 5

Answer:

K = 168 M = 192

Step-by-step explanation:

7:8 = 15

?:? = 360

Divide

360 / 15 = 24

Multiply

24 × 7 = 168

24 × 8 = 192

168:192 = 360

So, Kunal gets $168 and Mohit gets $192.

Step-by-step explanation:

Let the common ratio = x

Kunal = 7x

Mohit = 8x

Total value = 360

we know,

7x + 8x = 360

15x = 360

x = 360÷15

x = 24

so,

Kunal = 7x = 7×24=168

Mohit = 8x = 8×24=192

Answer:

Step-by-step on:ơ

Answer:

14.4

Step-by-step explanation:

since the longest side is 24,find the shortest side

√20^2-12^2

√400-144

√256

=16

which means the other shortest side is 24-16

which is 8

then you have to use the 12 and 8 to find the unknown side

√12^2+8^2

144+64

√208

14.4

I hope this helps

Answer:

P=2(74)+2(5)

148+10=158

Answer:

b -7/8 > -0.50

Step-by-step explanation:

is your answer

Answer:

- 7/8 > -0.50

Step-by-step explanation:

-7/8 =-.875

Change to get decimals with decimals or fractions to have a common denominator

-.875 < -0.60  true

-.875 > -0.50  false

-14/16 > - 15/16 true

-7/8 < - 2/8true

Answer:

r < 4/7

Step-by-step explanation:

35r - 21 < -35r + 19

35r + 35r < 19 + 21

70r < 40

r < 4/7

Answer:

r < 4/7

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

x/(-6)+y/(-7)=1

7x+6y=-42

7x+6y+42=0

y=(-7/6)x-7

it's easy look at the example for reference

Answer:

C

Step-by-step explanation:

The function C has a range of (-infinity, a] and domain [b, infinity)

Answer:

the equation is 2p-7=25 // p = 16

Answer:

Your uncle's backpack weighs 16 pounds.

Step-by-step explanation:

1.) Add 7 to each side

2p=32

2.) Divide each side by 2

p = 16

3.) That is your answer.

Answer:

(x+8)(x+7)

Step-by-step explanation:

Find two numbers that add to

b

and mulitply to

a*c

so find two numbers that add to

15

and mulitply to

56

Those two numbers are 8 and 7

therefore the answer is

(x+8)(x+7)

Answer:

Step-by-step explanation:

[tex]\large \boldsymbol{ \boxed{\sqrt{a}\cdot \sqrt{b}=\sqrt{a\cdot b} }} \\\\\\ \sqrt{25x+75} +3\sqrt{x-2} =2+4\sqrt{x-3} +\sqrt{9x-18} \\\\ \sqrt{25} \cdot \sqrt{x+3}+3\sqrt{x-2} =2+4\sqrt{x-3} +\sqrt{9}\cdot \sqrt{x-2} \\\\5\sqrt{x+3} +3\sqrt{x-2} \!\!\!\!\!\!\!\!\!\!\bigg{/} \ \ =2 +4\sqrt{x-3} +3\sqrt{x-2} \!\!\!\!\!\!\!\!\!\!\bigg{/} \\\\(5\sqrt{x+3})^2 =(2+4\sqrt{x-3} )^2 \\\\ \ \ \ let \ \ t=x+3 \ \ ; \ \ \ t-6=x-3 \\\\ \big(5\sqrt{t} \ \big)^2=(2+\sqrt{t-6} )^2 \\\\[/tex]                                 [tex]\large \boldsymbol{} 25t=4+16\sqrt{t-6} +16(t-6) \\\\(9t+92)^2=(16\sqrt{t-6} )^2 \\\\81t^2+1656t+8464=256(t-6)\\\\81t^2+1400t+10000=0 \\\\ D=1400^2-324000=-128000=> \\\\D<0 \ \ no \ \ solutions[/tex]

Answer:

A reflection of the point across the line y = -x

Step-by-step explanation:

General rule for reflection across line  y = -x is

(a,b) -------> (-b , -a)

Answer:

[tex] \frac{1}{6} [/tex]

Step-by-step explanation:

[tex] \frac{7}{5} \times \frac{5}{12} - \frac{3}{12} \times \frac{7}{5} - \frac{1}{15} = \frac{7}{5} ( \frac{5}{12} - \frac{3}{12} ) - \frac{1}{15} = \frac{7}{5} \times \frac{1}{6} - \frac{1}{15} = \frac{7}{30} - \frac{2}{30} = \frac{5}{30} = \frac{1}{6} [/tex]

Step-by-step explanation: I would first create a factor tree for these numbers and break them down into their prime factorization.

First, 28 is 7 x 4 and 4 is 2 x 2

Next, 35 is 7 x 5

In our factors tree, a 7 is a factor that is shared so we pull out a 7.

Now, we multiply all of our factors that don't pair up

and in this case, that's a 2, another 2, and a 5.

So our LCM is 7 x 2 x 2 x 5 or 140.

140

the lcm of two non-zero integers ×(28) and y(35) ,is the smallest posetive integer m(140) that is divisibleby both ×(28)and y(35) Without any remainder

Answer:

17.138

Step-by-step explanation:

area of segment = area of minor sector of the circle -area of triangle TSR

NOTE : AM using area of triangle as

1/2absinC

(48/360 ×22/7 ×19 ) - (1/2 × 19 ×19 × sin 48)

= 151.276 - 134.134

= 17.138