Determine the number of real solutions of the following system.

y = x2 + 3x − 2
y = 4x − 1

Answer: ? = 42

Step-by-step explanation:

 (a-b)² = a² - 2ab + b².   From 9p² -?p + 49   we see  

9p² = (3p)² and  49 = 7²   Then Middle term is  -2·(3p)·7 = -42p

Answer:

In geometry, a polygon can be defined as a flat or plane, two-dimensional closed shape with straight sides. It does not have curved sides.

Step-by-step explanation:

Answer:

2,3,5,6,9 and 10

Step-by-step explanation:

90÷2 =45

90÷3 =30

90÷5 =18

90÷6 =15

90÷9 =10

90÷10=9

Answer:

[tex]X=18.6ft[/tex]

Step-by-step explanation:

From the question we are told that:

Height of swing's crossbar [tex]H=10ft[/tex]

Angle [tex]\theta=40 \textdegree[/tex]

Depth of outrigger [tex]d_=3ft[/tex]

Generally the equation for slant height l is mathematically given by

[tex]l=\frac{opposite}{sin\theta}[/tex]

Therefore

[tex]l=\frac{H}{sin\theta}[/tex]

[tex]l=\frac{10}{sin 40\textdegree}[/tex]

[tex]l=15.6ft[/tex]

Since the Depth of outrigger

[tex]d_=3ft[/tex]

Therefore Length of the board X

[tex]X=l+d[/tex]

[tex]X=15.6+3[/tex]

[tex]X=18.6ft[/tex]

Answer:

150.8 ft3

Step-by-step explanation:

Answer:

+1-1=0

4x>-8

x>-2

Step-by-step explanation:

Answer:

x>−2

Step-by-step explanation:

Answer:

0,4

Step-by-step explanation:

Answer:

Slope = -3

Step-by-step explanation:

Answer:

the diagonal distance from one corner to the opposite is 15 feet.

Step-by-step explanation:

using the pythagorean theorem, we know that a^2 + b^2 = c^2. if a=9 and b=12 we can set up our equation as follows:

9^2 + 12^2 = c^2

81 + 144 = c^2

225 = c^2

the square root of 225 is 15 therefore:

15 = c

Answer: [tex]12< x \leq 20[/tex]

Step-by-step explanation:

Given

x is at a distance of 20 or less i.e. x can be 20 or less

[tex]x\leq20[/tex]

and it starts from the number 12 i.e.

[tex]12< x[/tex]

In interval notation it is

[tex]12< x \leq 20[/tex]

The answer is C for the first question. Blank 1 the answer is 29. Blank 2 the answer is 7. I hope this helps, have a good day!

Answer:

x

=

2

Step-by-step explanation:

Answer:

Hello! answer: x = 12

Step-by-step explanation:

with these you have to cross multiply so 2 x 24 = 48 so now we know that 4 multiplied by something will equal 48 so we can simply do this by doing 48 ÷ 4 and 48 ÷ 4 = 12

Answer:

h = 84.96m

Step-by-step explanation:

hope this helped

Answer:

70

Step-by-step explanation:

167-97 = 70

Answer:

P(Y) = 2/10 = 1/5

Step-by-step explanation:

From the above question:

Total number of marbles = 10 marbles

Number of yellow marbles = 2 yellow marbles

Number of blue marbles = 4 blue marbles

Number of red marbles = 4 red marbles.

The probability of choosing a marble that is yellow is calculated as:

= P(Y) = Number of yellow marbles/Total number of marbles

P(Y) = 2/10

P(Y) = 1/5

Answer:C26 is also a Category of EAD (Employment Authorization Document) provided to immigrant workers in U.S. These are dependents of H1b visa holders commonly referred to as H4-EAD.

Step-by-step explanation:

Answer:

Its 15

Step-by-step explanation:

Answer:

hi bye good luck

Step-by-step explanation:

Answer:

idek;)

Step-by-step explanation:

Answer:

2.77083333333

Step-by-step explanation:

I assume. Do not hold me account for mistakes, I apologize if my work is incorrect. Have a good day/night :}

Answer:

11seconds

Step-by-step explanation:

Given the height of the hovercraft expressed as;

(x)=-(x-11)(x+3)

The height of the hovercraft on the ground is 0, hence;

0 =-(x-11)(x+3)

-(x-11)(x+3) = 0

Multiply both sides by minus

(x-11)(x+3) = 0

x-11 = 0 and x+3=0

x = 11 and -3

Since time cannot be negative, hence the hovercraft will land after 11seconds

Answer:

[tex]\frac{64.5}{38.7}: \frac{5}{3}[/tex]

Step-by-step explanation:

5 : 3

5 + 3 = 8

103.2 ÷ 8

12.9

12.9 × 3

38.7

12.9 × 5

64.5

Answer:

D = 48kg

Step-by-step explanation:

The ratio of the weights of A and B is equal to the ratio of the weights

of C and D.

From the above question

A : B = C : D

This can also be interpreted as

A/B = C/D

A is 20 kg

B is 24kg

C is 40kg

D is ?

Therefore:

20/24 = 40/D

Cross Multiply

20D = 24 × 40

D = 24 × 40/20

D = 48

Therefore, D = 48kg

Answer:

In Fig. 8.27 , AP and, BP are tangents to a circle wit

Step-by-step explanation:

The value of the independent variable probability is P ( A | B ) = 0.5

Given data ,

Let the independent events be represented as

P ( A ) = 0.5

P ( B ) = 0.15

Now , the value of the probability P ( A | B ) is given by

And , if events A and B are independent, then P(A|B) = P(A). Therefore, in this case, P(A|B) = P(A) = 0.5

Hence , the probability is P ( A | B ) = 0.5

To learn more about probability click :

https://brainly.com/question/17089724

#SPJ1

Step-by-step explanation:

[tex]2 {x}^{2} - 6x + 3 = 0 \\ x = \frac{ - b± \sqrt{ {b}^{2} - 4ac} }{2a} \\ x = \frac{6± \sqrt{12} }{4} \\ x = 2.4 \: or \: 0.6[/tex]

Answer:

With what, I don't see anything?

Answer:

Solution given:

we have

f(x)=x²-9x-36

let

y=x²-9x-36

when

x=0

y=-36

when

y=0

0=x²-9x-36

x²-12x+3x-36=0

x(x-12)+3(x-12)=0

(x-12)(x+3)=0

either

x=12

x=-3

So,

x and y intercepts are (-3,0)(12,0) and 0,-36)

Answer: 5

Step-by-step explanation:

Answer:

Step-by-step explanation:

It is non-linear. A linear function can be written in the form y = mx + b

Answer:

Step-by-step explanation:

Given

Required equation:

The y-intercept is:

Bacteria population 35 in hours: