which point is an x-intercept of the quadratic function
f(x)=(x-8)(x+9) ?

Answer:

The solution to the equation are [tex]5+\frac{\sqrt{42} }{2\\} \ and \ 5-\frac{\sqrt{42} }{2\\}\\[/tex]

Both of his values are positive real numbers

Step-by-step explanation:

The general formula of a quadratic equation is expressed as [tex]ax^{2}+bx+c = 0\ where;\\x = -b\±\frac{\sqrt{b^{2}-4ac } }{2a}[/tex]

Given the expression  0 = x² – 5x – 4 which can be rewritten as shown below;

x² – 5x – 4 = 0

Comparing this to the general equation; a = 1, b = -5, c= -4

To get the solution to the quadratic equation, we will use the general formula above;

[tex]x = -b\±\frac{\sqrt{b^{2}-4ac } }{2a}\\x = -(-5)\±\frac{\sqrt{(-5)^{2}-4(1)(-4) } }{2(1)}\\\\x = 5\±\frac{\sqrt{25+16 } }{2}\\x =5\±\frac{\sqrt{41} }{2}\\x = 5+\frac{\sqrt{42} }{2}\ and \ 5-\sqrt{42} /2\\[/tex]

Both of his values are positive real numbers

Answer: D.–0.7

Step-by-step explanation: hope this helps :)

Answer:

I. 168

Step-by-step explanation:

Break the shapes down and get the area of each of them individually then add them together

Answer:

no

Step-by-step explanation: you are solving for the lengths of the different sides of the triangle

Answer:

Step-by-step explanation:

The formula for a perimeter of a rectangle = 2(L+B)

= 2L+2B

Where L and B are length and breadth respectively.

The question says ;

2cm = 2(L+B)

2cm = 2L+2B

Divide both sides by 2

1 = L+B

If the sum of the length and breadth is equivalent to 1cm, then the length itself is less than 1 cm. That is L < 1 cm

When all sides of the rectangle is summed, it will definitely be a whole number since the perimeter is 2 cm

Answer:C 151

Step-by-step explanation:

7 * 15=105 + 46=151

Answer: 788

Step-by-step explanation:

Answer:

400

Step-by-step explanation:

The 200 quarters in the full bag were likely to be eagle quarters.

In mathematics, ratios are used to determine the relationship between two numbers it indicates how many times is one number to another number.

Given that:-

We can conclude from the given data that the ratio of the Eagle and state quarters is 4:6 or 2:3 suppose the common factor is a so the value will be calculated as:-

E  +  S  =  500

2a  +  3a  =  500

5a   =  500

a  =  100

E  =  2a

E   =  2  x  100 =  200

Therefore 200 quarters in the full bag were likely to be eagle quarters.

To know more about ratios follow

https://brainly.com/question/2328454

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Answer:

y = 5x + 4

Step-by-step explanation:

Equation of a line passing through a point (x', y') and having slope 'm' is represented by,

y - y' = m(x - x')

If the point through which the given line is passing is (0, 4) and slope of the line is '5'

Equation of the line will be

y - 4 = 5(x - 0)

y = 5x + 4

Therefore, equation of given line is y = 5x + 4

Answer:

y=4x-1

Step-by-step explanation:

This is right i promise, also add me on ig melanin_.leesha

Answer:

x = -9

x = 6 BUT IT DOES NOT WORK WHEN YOU PLUG IT BACK IN

Step-by-step explanation:

Triangle area = 1/2 bh

The area is given (44)

base = 2x-4

height = x+5

44 = 1/2 (2x-4) (x+5)

Distribute

44 = 1/2 (2x^2 + 10x - 4x - 20)

44 = 1/2 (2x^2 + 6x - 20)

Take out a 2

44 = 2 * 1/2 (x^2 + 3x - 10)

44 = x^2 + 3x - 10

Subtract 44

0 = x^2 + 3x - 54

Factor the way you like and you should get

(x + 9) (x - 6)

x = -9

x = 6

If you plug them in only the -9 works.

44 = 1/2 (-22) (-4)

Answer:

x=6

Step-by-step explanation:

[tex]\frac{1}{2} (2x-4)(x+5)=44\\(x-2)(x+5)=44[/tex]

[tex]x^{2} -2x+5x-10=44\\x^{2} +3x-54=0[/tex]

[tex]x^{2} +9x-6x-54=0\\x(x+9)-6(x+9)=0\\(x+9)(x-6)=0\\x=-9(rejected),6[/tex]

side is 2×6-4=8 units

height=x+5=6+5=11 units

x=-9 is  rejected because it gives negative side and negative height.

Answer:

Q1: 48ft

Q2: 14.6

Step-by-step explanation:

Question 1:

Since the two triangles are similar (Angle - Side - Angle):

30/x = 50/80

x= 30(80/50)

 =48

Question 2:

sin(55deg) = 12/x

12/sin(55) = x

x=14.6 (3 s.f.)

Answer:

12 pi

Step-by-step explanation:

First find the area of  full circle

A = pi r^2  where r is the radius

A = pi (4)^2

A = 16 pi

This is 3/4 of a circle so multiply the area by the fraction of a circle

3/4*16pi = 12 pi

Answer:

[tex]12\pi[/tex] or 37.70 (rounded)

Step-by-step explanation:

To work this out you would first need to work out the area of this circle. You can do this by multiplying pi by the radius of 4 squared, this gives you 50.27 or [tex]16\pi[/tex].

Then in order to work out the area of this part of the circle you would have to divide the area 50.27 or 16pi by 4, this gives you 4 pi or 12.57. This is because the angle of the missing part is 90 degrees or a right angle, and because 360 divided by 4 is 90 this meant that the question is asking to work out [tex]\frac{3}{4}[/tex]of a circle and so by dividing it by 4 we are working out the area of one quadrant.

Then the final step is to multiply 4 pi or 12.57 by 3, this gives you 12 [tex]\pi[/tex] and 37.70.

1) Multiply pi by 4 squared.

[tex]\pi*4^{2} =16\pi or 50.27[/tex]

2) Divide 50.27 by 4.

[tex]16\pi or 50.27 /4=4\pi or 12.57[/tex]

3) Multiply 12.57 by 3.

[tex]12.57*3=12\pi or 37.70[/tex]

Answer:

B y= 4.50x + 5.00

Step-by-step explanation:

4.50 is the “mx” in y=mx+b also known as the Slope that moves.

the 5 is the ”b” which is the y-intercept. It is a constant and does not change.

Answer:

17.65693585 = r

Step-by-step explanation:

The volume of a sphere is given by

V = 4/3 pi r^3

23047 = 4/3 (3.14) r^3

23047 = 4.1866666666 r^3

Divide by 4.186666 on each side

23047/4.18666666 = 4.1866666666/4.18666666 *r^3

5504.856688 = r^3

Take the cubed root on each side

(5504.856688)^1/3 = r^3^(1/3)

17.65693585 = r

Answer:

1.1%

Step-by-step explanation:

Original number = 92

New number = 93

increase in the value of number = 93-92 = 1.

Percentage increase in number is given by

increase in the value  / old value ) *100

= (Original number -New number)/ Original number)*100

= (93-92/92) *100 = (1/92 )* 100 = 1.0869 %

Percentage increase in number is 1.0869%

Percentage increase in number to nearest tenth is 1.1%

Answer:

C

Step-by-step explanation:

If you look at the graph, you notice there is no data to determine the slope, but there (0,b) represents the y-intercept. So my guess is, they give you a clue what the slope is already, but if you notice the y-intercept lowers the linear line a few notches because (0,18) is lower than the (0,30). That is what I would choose as the answer

Answer: x to the third power minus 10x to the second power plus 19x plus 6 .

Answer:

Divide a percent by 100 and remove the percent sign to convert from a percent to a decimal. The shortcut way to convert from a percentage to a decimal is by removing the percent sign and moving the decimal point 2 places to the left.

Step-by-step explanation:

5.25% = .0525

Kono Dio Da

Answer:

Divide a percent by 100 and remove the percent sign to convert from a percent to a decimal.

Step-by-step explanation:

Answer:

Question 7: 16n^8 Question 8: 6r^4 Question 4: (-1,-7) Question 6: 6y^7

Step-by-step explanation:

Do i need it?

Answer: D

squares of the same size

Step-by-step explanation:

The shapes that are formed by cross sections parallel to the base of a square pyramid will always be square of the same size

Answer:

1/76

Step-by-step explanation:

Five marbles are red,

four are green,

ten are blue, and

one is white.

Sample space S= 5+4+10+1= 20

Probability of selecting a red Mable

Pr(red) = 5/20= 1/4

Probability of selecting a white Mable without replacement after the first selection

Pr(white) = 1/19= 1/19

the probability of selecting a red marble and then a white marble without replacement?

= 1/4*1/19= 1/76

Answer:

100 pack

Step-by-step explanation:

Well first just calculate the cost. 16 * 6 = 96

1.75 * 6 = 10.5

100 popsicles is cheaper.

Answer:

i need this answer too someone please answer lol

Answer:

4.8 dollars for 1 pound super nutty

Answer: Erin needs to babysit for 20 hours in order for her to meet her goal.

Step-by-step explanation:

7.50h < 150  divide each side of the equation by 7.50

h=20

Sounds like a Bayes Theorem problem.

Events:

F: Roger makes his first serve.  We'll write ~F for "not F".

P(F) = .63

P(~F) = 1 - .63 = .37

W: Roger wins the point.  We don't know P(W) but we are given

P(W | F) = .78

P(W | ~F) = .57

We're asked for

P(~F | W)

The basic conditional probability theorem is

P(~F and W) = P(~F | W) P(W) = P(W | ~F) P(~F)

P(~F | W) = ( P(W | ~F) P(~F) ) / P(W)

We write

P(W) =  P(W | F) P(F) +  P(W | ~F) P(~F)

Substituting gives Bayes' Theorem:

P(~F | W) = ( P(W | ~F) P(~F) ) / ( P(W | F) P(F) +  P(W | ~F) P(~F) )

We know all the parts so we substitute,

P(~F|W) = ( .57(.37) ) / (.78(.63) + .57(.37) ) = 0.30029901751388294

Let's call that 30%

Answer: 30%

Answer:

0.3

Step-by-step explanation:

We need to reverse this because we only know the outcome. P(A|B) = P(B|A) * P(A) / P(B), so P(B|A) is B given that A happens, P(A) in this case is the probability that he missed the first serve. P(B) is the probability of winning the point. P(B) = P(B|A') * P(A') + P(B|A) * P(A), which means P(B) is the probability  of the point scored given that the serve was made multiplied by the probability of the serve being made plus the probability of B given that serve is missed multiplied by the probability that the serve is missed. This is 57% * 37% + 78% * 63%=0.21+0.49=0.7. So P(B)=0.7. P(B|A)*P(A)/P(B) would be 57% * 37% / 70% = 0.3. The probability that Federer missed his first serve given that he scored the point is 0.3.

Answer: 9

11-6 (over fraction) 3

11-2 = 9

Answer:

Step-by-step explanation:

B

Answer:

D

Step-by-step explanation:

I got a 100 on my exit ticket for that question

Answer:

17/40

17 over 40