Find the minimum or maximum value of f (x) = x2 - 6x + 13.

Answer:

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

b) x=1

c) (1, -4)

Step-by-step explanation:

As you can see in the graph below, the x intercepts of this graph are at (-1,0) and (3,0), the axis of symmetry is x=1, and the vertex is at (1,-4). Hope this helps!

Hey there! :)

Answer:

A = 10 units².

Step-by-step explanation:

To solve this, we need to find the distance between the two points to derive the side-lengths of the square. Use the distance formula:

\(d = \sqrt{(x_2 - x_1)^2 + (y_2-y_1)^2}\)

Plug in points into the formula to find the distance:

\(d = \sqrt{(3 - 2)^2 + (4-1)^2}\)

Simplify:

\(d = \sqrt{(1)^2 + (3)^2}\)

\(d = \sqrt{(1) + (9)}\)

\(d = \sqrt{10}\)

Find the area of the square using the formula A = s² where s = √10:

A = (√10)²

A = 10 units².

Answer:

10

Step-by-step explanation:

We use the distance formula to find the distance between the two points, which is the side length of the square.. Therefore, the area of the square is 10.

Answer:

6 feet per minute.

Step-by-step explanation:

The turtle and snail are moving towards each other, so their speeds add up. Therefore, the combined speed at which they approach each other is:

5 feet/min (turtle's speed) + 1 feet/min (snail's speed) = 6 feet/min

Therefore, the turtle and snail are approaching each other at a speed of 6 feet per minute.

Answer:

6 feet per minute.

None of the given answer options (-10, 10, 16, ¾/1) correspond to the correct slope of -1/2.

To find the slope of the red line given that it is perpendicular to the green line with a slope of 2, we can use the property that perpendicular lines have slopes that are negative reciprocals of each other.

The slope of the green line is 2. To find the slope of the red line, we take the negative reciprocal of 2. The negative reciprocal is obtained by taking the reciprocal (flipping the fraction) and changing the sign.

Reciprocal of 2: 1/2

Negative reciprocal: -1/2

Therefore, the slope of the red line is -1/2.

However, none of the given answer options (-10, 10, 16, ¾/1) correspond to the correct slope of -1/2.

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Using the proportion formula, the height of the building is obtained as 40 meters.

What is proportion?

In general, the term "proportion" refers to a part, share, or amount that is compared to a whole. According to the definition of proportion, two ratios are in proportion when they are equal.

We can use proportions to solve the problem.

The ratio of the height of the pole to its shadow is the same as the ratio of the height of the building to its shadow.

That is -

height of pole / length of pole's shadow = height of building / length of building's shadow

Substituting the given values in the equation -

16 / 10 = height of building / 25

To find the height of the building, we can cross-multiply and solve for it -

16 x 25 = 10 × height of building

400 = 10 × height of building

height of building = 400 / 10

height of building = 40 meters

Therefore, the height of the building is 40 meters.

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A 16 meter pole casts a 10 meter long shadow. If at the same time of the day, a building casts a shadow of 25 meters, what is the height of the building?

Answer:

the slope of this line is 1

Answer:

The slope of this line is 1

Answer:

------------------

Simplify in below steps:

Answer:

x intercept: (-8,0)

y intercept: (0,2)

The coordinate of point R after the rotation is determined as = ( - 4, 7).

option A.

A rotation is a transformation that turns the figure in either a clockwise or counterclockwise direction.

You can turn a figure 90°, a quarter turn, either clockwise or counterclockwise. When you spin the figure exactly halfway, you have rotated it 180°. Turning it all the way around rotates the figure 360°.

When a figure is rotated 180 degrees, each point of the figure is moved to a new position that is exactly opposite its original position with respect to a fixed center of rotation.

The initial coordinate of point R = ( 4, 7),

The new coordinate of point R after the rotation = ( - 4, 7)

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Answer: yes

Step-by-step explanation:

the two sides are near the same with one smaller and i learned at sc that that makes it right

Answer: I think ts -1/2

Step-by-step explanation: x+3x=-3x-2+3x

4x=-2

4x/4=-2/4

x= -1/2

Answer:

c

Step-by-step explanation:

The better buy will be Brand C because the cost is minimum. Then the correct option is C.

Algebra is the study of graphic formulas, while logic is the interpretation among those signs.

Given the following information, choose the brand that is the better buy.

If the amount of money is less for the single ounce. Then the brand is the better buy.

Check all the option.

Brand A: $2.16 for 18 ounces.

Then the cost for single ounce will be

⇒ $2.16 / 18

⇒ $0.12

Brand B: $1.50 for 12 ounces.

Then the cost for single ounce will be

⇒ $1.50 / 12

⇒ $0.125

Brand C: $2.26 for 20 ounces.

Then the cost for single ounce will be

⇒ $2.26 / 20

⇒ $0.113

Brand D: $1.95 for 16 ounces.

Then the cost for single ounce will be

⇒ $1.95 / 16

⇒ $0.122

Then the better buy will be Brand C.

Then the correct option is C.

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Answer:

Your answer is.....

Student ticket = 513

General ticket = 487

Mark it as brainlist answer . follow me for more answer.

Step-by-step explanation:

Answer:

is going to be the biggest number

Step-by-step explanation:

Answer:

Step-by-step explanation:

h(-9) = (-9)^2 - 2(-9) = 81  + 18 - 99

g(99) = 99 + 4 = 103

answer is C

The expectation value of the random variable is twice the average number of drawing a red marble in one drawing.

Probability refers to potential. A random event's occurrence is the subject of this area of mathematics.

The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events.

The degree to which something is likely to happen is basically what probability means.

Given:

We have bag with 6 red marbles, and 9 non-red marbles.

We have to draw 1 and put it back, draw another one and count the

outcomes of ‘red marbles' can be 0, 1, 2,3 4, 5 or 6.

So, the probability of drawing a red marble is

= 6/ 15

= 2/5

and, drawing a non-red marble is the complement

= 1- 2/5

= 3/5

let  the probability of drawing a red marble is q and drawing a non-red marble is  (1−q )

So, the probabilities p(n) for the outcome n of the experiment

p(0) = (1−q)×(1−q) = (1−q)²

p(1) = q(1−q)+ (1−q)q = 2q(1−q)

p(2) = q × q = q²

So, The expectation value  ⟨n⟩  is simply the sum of all the outcomes multiplied with their respective probabilities

⟨n⟩=0×p(0)+1×p(1)+2×p(2)

=0+2q(1−q)+2q²

=2q−2q²+2q²

=2q

Hence, the expectation value of the random variable is twice the average number of drawing a red marble in one drawing.

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Expression: \(\displaystyle\sf (6-2x) +(15-3x)\)

Substituting \(\displaystyle\sf x=0.2\):

\(\displaystyle\sf (6-2(0.2)) +(15-3(0.2))\)

Simplifying the expression inside the parentheses:

\(\displaystyle\sf (6-0.4) +(15-0.6)\)

\(\displaystyle\sf 5.6 +14.4\)

Calculating the sum:

\(\displaystyle\sf 20\)

Therefore, \(\displaystyle\sf (6-2x) +(15-3x)\) evaluated at \(\displaystyle\sf x=0.2\) is equal to \(\displaystyle\sf 20\).

\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)

♥️ \(\large{\underline{\textcolor{red}{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)

Answer:

64cm³

Step-by-step explanation:

( 4 x 4 x 4) cm x cm x cm

Answer:

(x + 2)² + (y - 2)² = 3²

Step-by-step explanation:

Equation of a circle is (x - a)² + (y - b)² = r²,

where a is the x-coordinate of the centre of the circle, b is the y-coordinate of the centre of the circle, r is the circle's radius.

So, we have (x - -2)² + (y - 2)² = 3²

subtract a minus means we add.

(x + 2)² + (y - 2)² = 3²

The total volume is the one in option C, 708 cubic centimeters.

We know that this prism can be divided into two prisms, and remember that the volume of a prism is equal to the product between its dimensions.

Then the volume of the first prism is:

V = 8cm*6cm*13cm = 624 cm³

And the volume of the second prism is:

v' = 3cm*4cm*7cm = 84 cm³

Adding that we will get:

total volume =  624 cm³+  84 cm³ = 708 cm³

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Answer:

C

Step-by-step explanation:

If you start by picking a point to plug in you can check easily to see what works.

Lets start with x=pi. If we plug that into all the answer choices,

A. sec(pi/2)+2 = does not exist

B. 1/2sec(2pi) = 1/2

C. 2sec(pi/2) = does not exist

D. 2csc(pi/2) = 1

So, since at pi there is a vertical asymptote it should not exist. So, A or C.

Then pick x = 0, y must be 2.

A. sec(0) +2 = 1+2 = 3

C. 2sec(0) = 2

So, C must be the answer.

Answer: look up triangle perimeter calculator

Step-by-step explanation:

Answer:

Step-by-step explanation:

a.

\(2^3*2^{-3}=2^0\\b.\\\frac{2^3}{2^5} =2^{-2}\\c.\\2^{-3}*5^{-3}=10^{-3}\)

The probability that they both get a red apple is, 15/28

Probability is a mathematical term, which can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event. The possibility that an event will occur is measured by probability.

Probability of Event = Favorable Outcomes/Total Outcomes = X/n

The probability of Ed's friend grabbing a red apple is,

= 6 red apples / (2 green apples + 6 red apples)

= 6/8

= 3/4.

Then, the probability of Ed grabbing a red apple from the remaining apples is,

= 5 red apples / (2 green apples + 5 red apples)

= 5/7.

So, the probability that both Ed and his friend get a red apple is,

= 3/4 x 5/7

= 15/28

Hence, the probability is 15/28

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Answer:

y13+5=(-21)

Step-by-step explanation:

no soultion

if you want me to explain further, then let me know !

Answer:

48

Step-by-step explanation:

Count by 6

Answer:

6x2-10x-4

Step-by-step explanation:

hx=(2x-4)(3x+1)

hx=2x(3x+1)-4(3x+1)

hx=6x2+2x-12x-4

hx=6x2-10x-4

Answer:

Using the slope-intercept form, the y-intercept is 7

Step-by-step explanation:

Answer: y=7-3x/2      3x/2 is seen as a fraction

Step-by-step explanation:

Move all the terms that don’t contain y to the right and then solve

Answer:

210

Step-by-step explanation:

You simply just do some math:

5(10) + 8(20) = ?

50 + 160 = 210 lbs.

Hope it helps :>

y - x = 1.

or, y= 1+x

y - 2x = 3.

=>1+x -2x= 3 (substituting the value of y)

=>-x= 2

=>x= -2

y = -2+1 = -1

Therefore, x = -2 and y = -1