Find the value of x.

Answer:

Its the last option. On the bottom.

Step-by-step explanation:

You need to Solve for x to find the zeroes of the equation.

x-1=0 So one x is at 1.

x+4=0 So the other x is at -4.

This graph is also not negative so it does not get flipped across the x-axis

The graph of the function [tex]f(x) = (x - 1)(x + 4)[/tex] is graph (d)

The equation of the function is given as:

[tex]f(x) = (x - 1)(x + 4)[/tex]

From the above function, we have the zeros of the function to be:

1 and -4

This means that:

Hence, the graph is graph (d)

Read more about quadratic functions at:

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Answer:

the second one........the shape of the conic section os circle

Answer:

B 2.5 Gal

Step-by-step explanation:

Answer:

I think the correct answer may be B.

Step-by-step explanation:

Answer:

a) Median: 9

b) Range: 5

c) Mode: 7

Step-by-step explanation:

The median is the number in the middle.

First, you put the numbers in order: 7, 7, 7, 8, 10, 11, 12, 12

The middle of this is 8 and 10, so you plus them and divide by to 2, then it gives 9, so the median is 9.

To find the range, you minus the highest number and the lowest number, 12-7=5.

Mode is the most occurring and repetitive number, in this case, 7, because it is written 3 times.

Hope this helps!!!

Answer:

[tex]\boxed{\mathrm {Median = 9}}[/tex]

[tex]\boxed{\mathrm{Range = 5}}[/tex]

[tex]\boxed{\mathrm{Mode = 7}}[/tex]

Step-by-step explanation:

The observations are:

8,7,12,7,11,10,7,12

In ascending order:

=> 7,7,7,8,10,11,12,12

A) Median => Middlemost no.

Median = 8,10

=> [tex]\frac{8+10}{2}[/tex]

=> [tex]\frac{18}{2}[/tex]

Median = 9

B) Range = Highest No. = Lowest No.

RANGE = 12-7

Range = 5

C) Mode => frequently occurring number

Mode = 7

Answer:

3

Step-by-step explanation:

Answer:

c is the correct answer

Step-by-step explanation:

Answer:

(E) including reminders to watch the endorsement, compare signatures, and view

Step-by-step explanation:

The principle features that will help the company to confirms checks authenticity. It include endorsements and compare the signatures with the designated signatories. If the signatures are matched correctly with the assigned signatories the check is hold in light to view the watermark on it.

Answer:

Step-by-step explanation:

5 * 45 = 225

225+75=300

300/500=0.6

The tank will be 60% full.

If this helped, make sure to mark it as brainliest :D

Answer:

C.60%

Step-by-step explanation:

45 x 5 = 225  225 + 75 = 300

300 / 500 = 0.6 = 60%

Answer:

Four unique planes

Step-by-step explanation:

Given that the points are non co-planar, triangular planes can be formed by the joining of three points

The points will therefore appear to be at the corners of a triangular pyramid or tetrahedron such that together the four points will form a three dimensional figure bounded by triangular planes

The number of triangular planes that can therefore be formed is given by the combination of four objects taking three at a time as follows;

₄C₃ = 4!/(3!×(4-3)! = 4

Which gives four possible unique planes.

Answer/Step-by-step explanation:

a. Unknown side, b, using the Pythagorean theorem is solved as shown below.

[tex] b^2 = c^2 - a^2 [/tex]

[tex] b^2 = 45^2 - 27^2 [/tex]

[tex] b^2 = 1,296 [/tex]

[tex]b = \sqrt{1,296}[/tex]

[tex] b = 36 [/tex]

Unknown side, b, = 36 km

b. Perimeter of the triangle = sum of all the sides of the ∆ = [tex] 36 + 45 + 27 [/tex]

[tex] perimeter = 108 km [/tex]

c. Area of triangle = ½*base*height

where,

Base = 36 km

Height = 27 km

[tex] Area = \frac{1}{2}*36*27 [/tex]

[tex] Area = 18*27 [/tex]

[tex] Area = 486 km^2 [/tex]

Answer:

1,325

Step-by-step explanation:

30 /2

= 155,000 - 245(15)

= 5,000 - 3,675

= 1,325

Answer:

1,325

Step-by-step explanation:

Answer: x=one-half y minus

Step-by-step explanation:

Answer:

x=1/2 y-3

Step-by-step explanation:

Step-by-step explanation: A term can be a number, a variable, or a number times one or more variables.

So in this expression, the terms are +2n, +5, -3p, and +4q.

This means that there are 4 terms.

The answer is D - 4 :)

Answer:

A. Yes

B. Yes

C. No

Step-by-step explanation:

We can substitute each value in to the equation and see if the sides match up. Let's start with a.

[tex]4\cdot(2)-3 = -2\cdot(2)+9\\8-3 = -4+9\\5 = 5[/tex]

So, n = 2 works for equation a. Let's try B.

[tex]9\cdot(\frac{10}{3}) - 19 = 3\cdot(\frac{10}{3}) + 1\\\\\\\frac{90}{3} -19 = \frac{30}{3} + 1 \\ 30 - 19 = 10 + 1\\11 = 11[/tex]

So, m = [tex]\frac{10}{3}[/tex] works for B. Now let's try C.

[tex]3(30+8) = 2\cdot(30)-6\\3(38) = 60-6\\114 \neq 54[/tex]

So y = 30 doesn't work for C.

Hope this helped!

Answer:

Igloo Ice has the lowest delivery charge.

Step-by-step explanation:

Igloo Ice when you plug in 120 for the y you get 25.714 as the x.

Freds freeze at 120 is 20.

And lastly Tasty treats at 120 is 24, so Igloo Ice has the lowest delivery charge per person (you pay $120 for 25.714 people.)

Answer:

Igloo Ice

Step-by-step explanation:

Igloo Ice C(n) = 1.75n + 75

Fred's Freeze C(n) = 2n + 80

Tasty Treats C(n) = 1.25n + 90

75 is the lowest delivery charge

C(n) is total charge including what they are delivering

Answer:

I guess that we want to find how many grams of fat we have in a small pizza.

In a small pizza, we use 12 cups of cheese.

in 14 cups of cheese, we have 6 grams of fat.

Then, in 12 cups of cheese, we have x grams of fat.

We want to find the value of x.

We know that the ratio between the number of cups must be the same as the ratio between the grams of fat then:

12cups/14cups = x/6grams

x = (12/14)*6grams = 5.14 grams

Then in the 12 cups of cheese, we have 5.14 grams of fat.

Hi,

Answer:

[tex]Angle=\frac{pi}{4}[/tex] = π/4 = 45°

Have a good day.

Answer:

a. 16; b. aₙ = 4ⁿ⁻¹; c. predation and carrying capacity will limit the population

Step-by-step explanation:

a. The first female had 4 pups.

If each of them had 4 pups, there would be 4 × 4 = 4² = 16 pups.

b. 1st generation                        =     1 pup

2nd generation = 4 ×  1 pup      =    4 pups

3rd generation  = 4 ×  4 pups    =  16 pups

4th generation  = 4 × 16 pups    = 64 pups

5th generation  = 4 × 64 pups = 256 pups

The sequence is           1,   4, 16, 64, 256, …

We can also write it as 4⁰, 4¹, 4²,  4³,   4⁴, …

Note that the exponent is one less than the number of the generation.

Thus, the general formula for the nth term, aₙ, is

aₙ = 4ⁿ⁻¹, where

n = the number of the generation

a = the number of pups in that generation.

c. a₂₅ = 4²⁵⁻¹ = 4²⁴ ≈ 281 000 000 000 000 or 281 trillion

The population would not reach that number because there would not be enough food for all those pups. Pups would die of starvation until their numbers equalled the carrying capacity of the ecosystem and would level off at that point.

There would also be increased predation by coyotes, bobcats, etc. This would also keep the population growth in check,

Answer:

4

Step-by-step explanation:

For the first triangle which is triangle <KJL

Hypotenuse= 8✓2

Angle=30°

Opposite = ?

Therefore we will use Sine formula

Sin30° = Y/8✓2

Y=4✓2

For the second triangle which is triangle <JML

Hypotenuse= 4✓2

Opposite=X

Angle=45°

Therefore we will use Sine formula again

Sin45°=X/4✓2

X=4

Answer:

Step-by-step explanation:

ΔJKL is half of equilateral triangle and ΔJML is half of square.

We can use properties of these triangles (picture):

m∠KJL=90° and m∠JKL = 30° ⇒  JL = 0.5KL = 0.5•8√2 = 4√2

m∠JML=90° and m∠MJL = 45° ⇒  JL = ML√2

                                                        4√2 = x√2

                                                             x = 4

Answer:

s = 11.4

Step-by-step explanation:

The following data were obtained from the question:

Angle S = 60°

Opposite S = s =?

Opposite U = u = 13

Opposite T = t = 5

Thus, from the data obtained from the question, we can calculate the value of s by using cosine rule as shown below:

s² = u² + t² – 2ut Cos S

s² = 13² + 5² – 2 × 13 × 5 × Cos 60

s² = 169 + 25 – 130 × 0.5

s² = 194 – 65

s² = 129

Take the square root of both side.

s = √129

s = 11.4

Therefore, the value of s is 11.4

Answer:

Distance travel by Drew = 1,315.21 feet (Approx)

Step-by-step explanation:

Given:

Total block in north = 3

Total block in west = 3

1 block = 310 feet

Find:

Distance travel by Drew

Computation:

Total distance in north = 3 × 310 = 930 feet

Total distance in west = 3 × 310 = 930 feet

Distance travel by Drew = √Total distance in north² + Total distance in west²

Distance travel by Drew = √930² + 930²

Distance travel by Drew = √864,900 + 864,900

Distance travel by Drew = √1,729,800

Distance travel by Drew = 1,315.21 feet (Approx)

Answer:

25p^2 + 4 + 20p

Step-by-step explanation:

(5p + 2)^2 = (5p)^2 + (2)^2 + 2 × 5p × 2

= 25p^2 + 4 + 20p

Answer:

[tex]\large \boxed{\sf \ \ \text{The maximum profit is \$94 per day.} \ \ }[/tex]

Step-by-step explanation:

Hello,

The coefficient in [tex]x^2[/tex] is negative.

So, there is a maximum at the vertex point which is

[tex]x=-\dfrac{b}{2a}==\dfrac{-6}{-0.2}=\dfrac{6}{0.2}=30[/tex]

And then the maximum is f(30)=

[tex]-0.1\cdot 30^2+6\cdot 30 +4=-90 +180+4=94[/tex]

So the maximum profit is 94 $ per day.

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

Answer:

18- 14+8=3x

4+8=3x

12=3x

12/3=2x/3

x=4

Answer:

2/3, -8, -1/6, 4.

Step-by-step explanation:

Step-by-step explanation:

The rational root theorem states that if the leading coefficient is taken to be an and the constant coefficient is taken to be a0 the possible roots of the equation can be expressed as :

Now, from the given options, the possible choices can be :

A, B, C and E

D can be there because after taking any pair the rational root can't be 3

F can't be possible because an does't have 4 in its factors so denominator cannot be 4.

Answer:

Step-by-step explanation:

To find x we use tan

tan∅ = opposite / adjacent

From the question

The adjacent is x

The opposite is 30

So we have

tan 25° = 30/x

x tan 25 = 30

Divide both sides by tan 25

x = 30/tan 25

x = 64.34

x = 64 to the nearest tenth

Hope this helps you

Answer:

see explanation

Step-by-step explanation:

If Dan earns $x then Bob earns $3x ( 3 times as much as Dan ), then

x + 3x = 72 , that is

4x = 72 ( divide both sides by 4 )

x = 18

Thus

Dan earns $18 and Bob earns 3 × $18 = $54

The earning of Bob will be 54 dollars and the earning of Dan will be 18 dollars.

A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.

Let the earning by Bob be x and the earning by Dan be y.

Bob and Dan earned a total of $72 shoveling snow. Then the equation will be

x + y = 72 ...1

If Bob earned 3 times as much as Dan. Then the equation will be

x = 3y   ...2

Substitute the value of x in equation 1, then the equation will be

3y + y = 72

     4y = 72

       y = $18

Then the money earned by Bob will be

x = 3y

x = 3(18)

x = $54

Thus, the earning of Bob will be 54 dollars and the earning of Dan will be 18 dollars.

More about the linear system link is given below.

https://brainly.com/question/20379472

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Answer with  explanation:

Given: An airline company advertises that 100% of their flights are on time after checking 5 flights from yesterday and finding that these 5 were on time.

a) population: A large group of observations have characteristics related to the point of the study.

Here, population: "All flights operated by the company"

b) Sample: It is a subset of the population.

Here, Sample: "5 flights from yesterday"

(c)

Since the number of flights per day operated by an airline company is much larger than 5 ( generally in hundreds).

i.e. the sample is too small to be able to assure that the results are true.

Hence, this is not a representative sample.

(d) To determine the percentage of their flights that are on time we use the following formula:

(Number of flights are on time) ÷ (Total flights) x 100

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First find the area of the sector.

For that, use this equation:

area = [tex]\frac{x }{360} * \pi r^{2}[/tex]

where 'x' is the angle and 'r' is the radius

Sub the values in

area = [tex]\frac{56}{360} * \pi15^2[/tex]

Solve:

area = [tex]35\pi[/tex]

It is easier to keep it in terms of pi until the end

Now, calculate the area of the triangle within the sector

area = 1/2 ab x sinC

where 'a' and 'b' are the radius (side lengths) and C is the angle

thus,

area = 1/2(15 x 15) x sin(56)

area = 93.27 (to 2 d.p)

Now subtract the area of the triangle from the area of the sector

[tex]35\pi[/tex] - 93.27 = 16.6857

This would give you a final answer of 16.69 units^2

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Answer:

49π

Step-by-step explanation:

The formula for the area of a circle is,

[tex]\pi r^2[/tex]

If the radius is 7 inches we need to plug that in for r in the formula.

π(7)^2

7*7 = 49

Thus,

the area in terms of pi is 49π.

Hope this helps :)

Answer:

Step-by-step explanation:

[tex]r = 7\\A = ?\\A =\pi r^2\\A =\pi7^2\\A = 49\pi[/tex]

Answer:

Step-by-step explanation:

All of these statements about a vertical parabola with known vertex are true.

The statement which is not always true about the graph of a quadratic function is option d) the parabola is symmetrical about the y-axis.

A parabola is a open U shaped curve on a plane where all the points on the curve will be at an equal distance from a fixed point called focus and a fixed line called directrix.

Vertex of a parabola is the point where the parabola intersects with it's line of symmetry. So the vertex will always lie at the maximum point or the minimum point.

Axis of symmetry is the line that passes through the vertex of a parabola.

Graph of the quadratic equation will always be a parabola.

When the coefficient of x² is positive, then the vertex of the parabola will be at a minimum point and if the coefficient is negative, then the vertex will be at a maximum point.

The parabola is symmetrical to y axis only if the vertex of the parabola lies on the Y axis. So it will not be always true.

Hence the statement the parabola is symmetrical about the y-axis is not always true.

Learn more about Parabola here :

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Step-by-step explanation:

The coordinates of the feasible region are:(In clockwise direction)

(200, 200)

(300, 200)

(500, 0)

(300, 0)