For what value of k will the relation y = kx² + 8x + 8 have only one zero? (3 marks)

Answer:

-7j-k-1

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

An equivalent expression is an expression which is equal to 10k + 17 - 7j - 18 - 11k. You can expand or simplify an expression to make an equivalent expression. Combine like terms to form a new equivalent expression. Like terms are terms which have the same base or variable.

10k + 17 - 7j - 18 - 11k

10k -11k + 17 - 18 - 7j                Move to group like terms together.

-k - 1 - 7j

Answer:

x= √10 and x= -√10

Step-by-step explanation:

first look to isolate the term with the variable on one side

-5 +5 -2x² = -5 -15; subtract 5 from both sides(inverse of addition)

-2x² = -20; divide both sides by -2 (inverse of multiplication)

x² = 10; square root both sides (the inverse of raising to power of 2)

√x² =√10

x =±√10

Answer:

y=1/2 , x= -5/8

Step-by-step explanation:

⇒[tex]2y=1. -4x+y=3 : y=\frac{1}{2} \\\left \{ {{2y=1} \atop {-4x+y=3}} \right. \\ where: y=\frac{1}{2} \\-4x+\frac{1}{2}=3\\isolate for -4x+\frac{1}{2} =3: x=-\frac{5}{8} \\y=\frac{1}{2} : x=\frac{-5}{8}[/tex]

Answer:

y 4       4x + 2

y< 6     x+3

Step-by-step explanation:

Answer:

47 ft

Step-by-step explanation:

3.14 x 15

Answer:

45

Step-by-step explanation:

8-12(-3.5)-5

8+42-5

=45

Step-by-step explanation:

∆ABC =>by reflection over x-axis and then dilation with scale factor 2, the point of center (5, -1) ==> ∆ XYZ

Step-by-step explanation:

Given that,

Hypotenuse, H = 13

Base, b = 12

Perpendicular, P = 5

[tex]\sin\theta=\dfrac{P}{H}\\\\\sin\theta=\dfrac{5}{13}[/tex]

[tex]\cos\theta=\dfrac{B}{H}\\\\\sin\theta=\dfrac{12}{13}[/tex]

and

[tex]\tan\theta=\dfrac{P}{B}\\\\=\dfrac{5}{12}[/tex]

Hence, this is the required solution.

Answer:

A = 4a² - 4ab + b²

Step-by-step explanation:

The area (A) of a square is calculated as

A = s² ( s is the side length ) , so

A = (2a - b)² ← expand using FOIL

   = (2a)² - 2ab - 2ab + (- b)²

   = 4a² - 4ab + b²

Answer:

13.03 units

using distance formula which is

root under

(X\/2-X\/1)^2 + (y\/2-y\/1)^2

Answer:

c = -10

Step-by-step explanation:

For this we can use basic algebra. Add 15 on both sides. This gives us 3c = -30. Divide by 3 on both sides. The final answer is c = -10.

The value of c is -10 in the equation 3c - 15 = -45.

Two or more expressions with an Equal sign is called as Equation.

The given equation is 3c-15=-45

Three times of c minus fifteen equal to minus forty five.

In the given equation minus is the operator and c is the variable.

We need to solve for variable c

3c-15=-45

Add 15 on both sides

3c-15+15=-45+15

3c=-30

Divide both sides by 3

c=-10

Hence, the value of c is -10 in the equation 3c - 15 = -45.

To learn more on Equation:

https://brainly.com/question/10413253

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Answer:

=60

Step-by-step explanation:

18 + 12

=30

18/30 × 100%

=60

Answer:

LM = 24.3

Step-by-step explanation:

In terms of similar shapes, we know that the ratio of the value of one side to its corresponding side value is equal to another. In other words, we know that LK and HG are corresponding sides by looking at the quadrilaterals. The ratio of LK to HG is equal to the ratio of another pair of corresponding sides, such as LM and IH.

Therefore, the ratio of LK and HG (LK/HG) is equal to the ratio of LM and IH (LM/IH) . Make sure to keep the same quadrilateral's sides on top/bottom. In this example, LM and LK are on the same quadrilateral, and are therefore both on top. Similarly, IH and HG are of the same quadrilateral and are both on bottom. We can write this as

LK / HG = LM / IH

34/7 = LM / 5

Multiply both sides by 5

34*5/7 = LM

LM ≈ 24.2857

Rounding to the nearest tenth, LM = 24.3

Answer:

24.3

Step-by-step explanation:

Answer:

All real number

Step-by-step explanation:

Is this ok

Answer:

C

Step-by-step explanation:

To translate something 3 units down subtract it by 3

which means our equation is

x²-2

From here it's pretty easy to see that the answer must be C

Answer:

16

Step-by-step explanation:

total number of cakes baked=55+39=94 cakes

1 box can hold 6 cakes

let the number of box need to hold 94 cakes be x

:- 1 = 6 cakes

x = 94 cakes

cross multiply to get :

6x=94

divide both side by the coefficient of x i.e 6

6x/6=94/6

x= 15.7

because it a real object, the minimum nuber of boxes is 16

Answer:

9 dots

Step-by-step explanation:

each step adds 2 dots every time

Answer: Martina's margin of error is 1.5.

Step-by-step explanation:

Given: Average graduate student (upper limit) = 33

Random sample graduate student (lower limit) = 30

Formula to calculate margin of error is as follows.

Margin of error = [tex]\frac{upper limit - lower limit}{2}[/tex]

Substitute the values into above formula as follows.

[tex]Margin of error = \frac{upper limit - lower limit}{2}\\= \frac{33 - 30}{2}\\= \frac{3}{2}\\= 1.5[/tex]

Thus, we can conclude that Martina's margin of error is 1.5.

Answer:

0=0 1=1   6<8

Since 6 < 8  0.16 < 0.18

so, the hummingbird weighs more than a nickel

Step-by-step explanation:

6 is less than 8 so therefore .16 is less than .18. The nickel weighs .18 and .16 is less than that.

Answer:

3/16

Step-by-step explanation:

simply multiply all 3 numbers

Answer:

132'500

Step-by-step explanation:

It is like doing tax, you just needed to multiply your number by 0.6

Answer:

$ 7,500

Step-by-step explanation:

commission=6%

House price= $125,000

Commission=6/100 ×125,000

Commission= $ 7,500

1) 36

2) 143

3) 18

4) 12

5) 15

6) 108

7) 58

The key here is to perform direct substitution in each problem.

I'll do a quick working down here

1) 9(8-4)= 9*4 =36

2) 4(5*4)+7*9= 80+63 =143

3) 114-(3*8*4)= 114-96=18

4) 24/(1*2) = 24/2 = 12

5) 19 - (28/7) = 19- 4 = 15

6) 3 (6)^2 = 3*6*6= 108

7)49 - 3(3)^2 + (6)^2 = 49-27+36= 58

Answer:

450in^2

Step-by-step explanation:

square root of 900 is 30.

Each side of square is 30.

Each side of a triangle formed by drawing a radi in the square is 15 in.

The hypotenuse is 15[tex]\sqrt{2}[/tex] that is also the radius of the circle.

A= (15[tex]\sqrt{2}[/tex])^2 times pi = 450 in^2

Answer:

you have to connect an image or provide further information

Step-by-step explanation:

Given:

The system of equations is:

Line A: [tex]y=x-4[/tex]

Line B: [tex]y=3x+4[/tex]

To find:

The solution of given system of equations.

Solution:

We have,

[tex]y=x-4[/tex]              ...(i)

[tex]y=3x+4[/tex]           ...(ii)

Equating (i) and (ii), we get

[tex]x-4=3x+4[/tex]

[tex]-4-4=3x-x[/tex]

[tex]-8=2x[/tex]

Divide both sides by 2.

[tex]-4=x[/tex]

Substituting [tex]x=-4[/tex] in (i), we get

[tex]y=-4-4[/tex]

[tex]y=-8[/tex]

The solution of system of equations is (-4,-8).

Now verify the solution by substituting [tex]x=-4, y=-8[/tex] in the given equations.

[tex]-8=-4-4[/tex]

[tex]-8=-8[/tex]

This statement is true.

Similarly,

[tex]-8=3(-4)+4[/tex]

[tex]-8=-12+4[/tex]

[tex]-8=-8[/tex]

This statement is also true.

Therefore, (-4,-8) is a solution of the given system of equations, because the point satisfies both equations. Hence, the correct option is C.

Step-by-step explanation:

let the larger number = a,

and the smaller one = b.

a - b = 5 ==> a = b+5

2a + b = 7

2(b+5) +b=7

2b+10+b=7

3b= 7-10

3b = -3

b = -1

a = -1+5 = 4

Answer:

It is 2 million

Answer:

Million

Step-by-step explanation: