Which system of linear inequalities is represented by the graph?

You subtract 90 from the 300 dollar goal and you’re left with $210. If you then divide that by 10.50 the answer will be 20. So the answer is 20 weeks.

Answer:

Yes, it does.

Step-by-step explanation:

Every regular shaped figure will have rotational symmetry, since they are built with identical segments all around.

To find the answer, ask yourself « If I rotate the shape, is there a time where I’ll find the exact same shape again with a different angle? »

So, a square has rotational symmetry, but not a rectangle.

A equilateral triangle has rotational symmetry, but not any other type of triangle.

The Ferris wheel shaped like a regular octagon would have rotational symmetry.

The rotational symmetry of a shape makes it possible for an object when rotated on its own axis, the shape of the object looks the same.

For a regular polygon with n sides, there would be n number of rotational symmetry,

The Ferris wheel shaped like a regular octagon would have rotational symmetry.

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Answer:

A = 78.46

Step-by-step explanation:

55^2 = 50^2 + 35^2 − 2(50)(35)cos(A)

3025 = 2500 + 1225 - 3500 cos A

- 3500 Cos A = -3725 + 3025

-3500 cos A = -700

cos A =  -700/-3500

         = 0.2

A = cos^-1 0.2

A = 78.46

Answer:

A=78.46° (to 4sf)

Step-by-step explanation:

The only way to approach this problem is to solve the equation.

55²=50²+35²-2(50)(35)cos(A)

3025=2500+1225-3500cosA

3025=3725-3500cosA

Now collecting like terms together:

3025-3725=-3500cosA

-700=-3500cosA

CosA=0.2

A=78.46° (to 4sf)

Answer:

Option D. [tex]y=3(x+2)^{2}+5[/tex]

Step-by-step explanation:

we know that

The equation of a vertical parabola in vertex form is equal to

[tex]y=a(x-h)^{2}+k[/tex]

where

(h,k) is the vertex of the parabola

If a> 0 then the parabola open up and the vertex is a minimum

If a< 0 then the parabola open down and the vertex is a maximum

In this problem the vertex is the point (-2,5)

so

the equation must be equal to

[tex]y=a(x+2)^{2}+5[/tex] and the value of a is positive

therefore

the answer is the option D

Answer:

y=3(x+2)^2+5

Step-by-step explanation:

y = 3(x+2)^2 + 5 Is the correct answer

[tex]m\angle A=180° - m\angle D=108°-72°=108° [/tex]

The measure of angle A is 108 degrees.

We have given that,

ABCD is a parallelogram. If m angle d=72

we have to determine the  m angle a

an angle is a figure formed by two rays, called the sides of the angle, sharing a common endpoint, called the vertex of the angle. Angles formed by two rays lie in the plane that contains the rays. Angles are also formed by the intersection of two planes.

[tex]m\angle A=180-m\angle D\\=180-72\\=108[/tex]

The measure of angle A is 108 degrees.

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So what they are trying to say is that they both have the same y-intercept. Easy!

Make y the subject:

5x - 2y = 3

2y = 5x - 3

y = 2.5x - 1.5

The y-intercept is -1.5.

Make y the subject:

x + y = a

y = -x + a

Therefore, a must be -1.5 !

The system of linear equations has a solution on the y-axis only when a = -3/2

We have the system of linear equations:

5x - 2y = 3

x + y = a

Now let's write both in slope-intercept form:

y = (-3/2) + (5/2)x

y = a - x

If we want the lines to intersect at the y-axis, then we will have x = 0, replacing that we get:

y = -3/2

y = a

So, for the system to be consistent, we must have a = -3/2.

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Answer:

The correct answer is 5

Step-by-step explanation:

To find this, start by multiplying them in any order. For ease, we'll multiply the first and last.

-2/3 * -3 = 2

Now we take that and multiply it by the remaining term.

2 * 2 1/2 = 5

Final answer:

Multiplying −2/3 by 2 1/2 and then by −3 results in the answer 5 after converting the mixed number to an improper fraction, considering the signs during multiplication, and simplifying the result.

Explanation:

To multiply the given numbers and write the answer in simplest form, let's break down the math step by step.

Firstly, convert the mixed number 2 1/2 into an improper fraction. To do this, multiply the whole number by the denominator of the fraction and add the numerator. This gives us 2 x 2 + 1 = 5, so 2 1/2 becomes 5/2.

Now, let's look at the multiplication operation:

−2/3 × (5/2) × (−3) = ( −2 × 5 × −3 ) / ( 3 × 2 )

When multiplying, we multiply the numerators together and the denominators together, which results in:

(−2 × 5 × −3) / (3 × 2) = (+2 × 5 × 3) / 6  = 30 / 6

When considering the signs, remember that when two numbers with the same sign multiply, the result is positive (e.g., −2 × −3 = +6), and when two numbers with opposite signs multiply, the answer is negative (e.g., −3 × 2 = −6).

The final step is to simplify the fraction 30/6, which simplifies to 5, since 30 divided by 6 equals 5.

Therefore, the answer is 5.

ANSWER

[tex]x = 0 \: or \: x = \frac{3}{2} \: or \: x = - 3[/tex]

EXPLANATION

The given polynomial function is

[tex]f(x) =2{x}^{3} + 3 {x}^{2} - 9x[/tex]

To find the zeros, we equate the function to zero.

[tex]2{x}^{3} + 3 {x}^{2} - 9x = 0[/tex]

Factor x,

[tex]x(2 {x}^{2} + 3x - 9) = 0[/tex]

Split the middle term,

[tex]x(2 {x}^{2} + 6x - 3x - 9) = 0[/tex]

[tex]x(2x(x + 3) - 3(x + 3) = 0[/tex]

[tex]x(2x - 3)(x + 3) = 0[/tex]

[tex]x=0,2x-3=0,x+3=0[/tex]

[tex]x = 0 \: or \: x = \frac{3}{2} \: or \: x = - 3[/tex]

Answer:

x = -3, x= 0, and x = 1.5

Step-by-step explanation:

The zeros of a function f(x) refers to the x-values for which f(x) = 0.

We simply graph the function and determine the points where the graph crosses the x-axis. Thus, we shall be solving the problem graphically;

From the attachment below, the graph of f(x) crosses the x-axis at;

x = -3, x= 0, and x = 1.5

Answer:

[tex]m<1=92\°[/tex]

Step-by-step explanation:

we know that

The sum of the interior angles in a quadrilateral must be equal to 360 degrees

so

[tex]62\°+92\°+114\°+m<1\°=360\°[/tex]

solve for the measure of angle 1

[tex]268\°+m<1\°=360\°[/tex]

[tex]m<1=360\°-268\°=92\°[/tex]

Answer:

The answer is

B. 92 degrees.

Step-by-step explanation:

It would be 83.

Reason it 83 units away from 0.

I hope this helps :)

Answer:

83

Step-by-step explanation:

Answer:

The answer would be D because both ordered pair that was substituted in the equation didn't equal to each other.

Explanation:

All you do is substitute the x and y numbers. (x,y)

A:

Substitute the x and y number

7(2) - 5 = 4(4) - 6

Multiply the number in the parentheses by the outside number on both sides.

14 - 5 = 16 - 6

Subtract both sides to get your solution.

9 = 10

Doesn't equal so that means it's not the solution.

B:

Substitute

7(3) - 5 = 4(6) - 6

Multiply the number in the parentheses by the outside number on both sides.

21 - 5 = 24 - 6

Subtract both sides to get your solution.

16 = 18

It also doesn't equal so that means that it's not the solution either.

C:

Both ordered pair didn't equal to each other so this is not the answer.

Hope this helps!

Answer:

[tex]\large\boxed{f(x)+(x-3)^2-7}[/tex]

Step-by-step explanation:

[tex]\text{The vertex form of equation}\ y=ax^2+bx+c:\\\\y=a(x-h)^2+k\\\\\text{We have the equation:}\\\\f(x)=x^2-6x+2=x^2-2(x)(3)+1=x^2-2(x)(3)+3^2-3^2+2\\\\\text{Use}\ (a-b)^2=a^2-2ab+b^2\to x^2-2(x)(3)+3^2=(x-3)^2\\\\f(x)=(x-3)^2-9+2=(x-3)^2-7[/tex]

Answer:

[tex]w\leq 100\ pounds[/tex]

Step-by-step explanation:

Let

w------> the weight in pounds

we know that

A delivery company charges an extra fee for a package that weighs more than 100 pounds

so

For

[tex]w> 100\ pounds[/tex] -----> the company charges an extra fee

therefore

For

[tex]w\leq 100\ pounds[/tex] ----> the company not charge an extra fee

The inequality w ≤ 100 expresses the weight limit for Sonia's package. Jesse should use kilograms to weigh the box in the mailroom.

The inequality is: w ≤ 100

Since Sonia can ship packages without paying the extra fee for weights up to 100 pounds. Therefore, any package weighing 100 pounds or less would not incur the additional charge.

Jesse should use kilograms to weigh the box of books in the mailroom because it's a more appropriate metric unit considering the size and weight of the objects in the box.

Answer:

(-1,-1)

Step-by-step explanation:

x=y

2x+3x=-5

x=-1

y=-1

Answer:

3 : 8

Step-by-step explanation:

Two hours = 120 minutes

Alyssa:Elijah

45 : 120

3 : 8

Answer:

Answer:

B.

Explanation:

If you want to multiply a parenthesis by a number, you simply distribute the number to all the terms in the parenthesis.

Step-by-step explanation:

Answer:

B. [tex]15x-35[/tex]

Step-by-step explanation:

We are asked to simplify the expression [tex]5(3x-7)[/tex] using distributive property.

Distributive property states that we can multiply a quantity to sum by multiplying each addend separately and then add the products as:

[tex]a(b+c)=a\cdot b+a\cdot c[/tex]

Using distributive property, we will multiply 5 by [tex]3x[/tex] and [tex]-7[/tex] as:

[tex]5\cdot 3x-5\cdot 7[/tex]

[tex]15x-35[/tex]

Therefore, the simplified form of the given expression would be [tex]15x-35[/tex] and option B is the correct choice.

[tex]\huge\boxed{54-x}[/tex]

I'm assuming you meant "the difference between 54 and a number". We'll use [tex]x[/tex] to represent the number.

The word "difference" means that we will use subtraction, making the answer...

[tex]\boxed{54-x}[/tex]

the other guy is correct

Step-by-step explanation:

You didn't provide any context so I can't answer this. BUT!!

If you're looking at two triangles, look for the side corresponding to the unknown side. If it's an equilateral (all sides same length) triangle no need to worry. It's probably a scalene, all different lengths, because math is hard. So you'll have 3 different lengthy sides, and you can probably see which ones correspond with which based on length and position. You can use angles to help you.

Now use the sides you have the value of to determine scale factor.

Divide the length of one of the sides on one triangle by the corresponding side on the other. That's your scale factor. Now multiply it by the side that corresponds to the unknown side, and that is supposed to be your length.

Sorry couldn't help any more

Answer:

thwe answer is c

Step-by-step explanation:

The possible values of x are -2.4,1.4,3.9

Step-by-step explanation:

F(x)=3x - 1

G(x)=x³-3x²-4x

when we will plot we are given two functions f(x) and g(x) as:

the graph of these two functions we could clearly see that the point of intersections are the possible solutions of the equation .

F(x)=G(x)

the points of the intersection of this equation is x= -2.4,1.4,3.9

Hence the solutions are  x= -2.4,1.4,3.9.

Answer:

credit card

Step-by-step explanation:

a credit card you pay every month not when you use it in the store

Answer:

Part A) The volume of the ice cream scoop is [tex]36\pi\ in^{3}[/tex]

Part B) The melted ice cream won't fill the cup

Part C) The melted ice cream exceeds the volume  of Anna's cup

Part D) The height of the smallest cylindrical cup is [tex]h=8\ in[/tex]

Step-by-step explanation:

Part A) Find the volume of the ice cream scoop

we know that

The volume of the sphere (ice cream scoop) is equal to

[tex]V=\frac{4}{3}\pi r^{3}[/tex]

we have

[tex]r=3\ in[/tex]

substitute

[tex]V=\frac{4}{3}\pi (3)^{3}=36\pi\ in^{3}[/tex]

Part B) Find the volume of Anna's cylindrical cup

we know that

The volume of a cylinder is equal to

[tex]V=\pi r^{2}h[/tex]

we have

[tex]r=3\ in[/tex]

[tex]h=6\ in[/tex]

substitute

[tex]V=\pi (3)^{2}(6)=54\pi\ in^{3}[/tex]

[tex]54\pi\ in^{3}> 36\pi\ in^{3}[/tex]

The volume of Anna's cup (cylinder) is greater than the volume of melted ice cream scoop

therefore

The melted ice cream won't fill the cup.

Part C) Will two scoop of melted ice cream fit in Anna's cup?

Multiply the volume of ice cream scoop by 2 and compare with the volume of Anna's cup

so

[tex](2)36\pi\ in^{3}=72\pi\ in^{3}[/tex]

[tex]72\pi\ in^{3}> 54\pi\ in^{3}[/tex]

The volume of Anna's cup (cylinder) is less than the volume of two melted ice cream scoop

therefore

The melted ice cream exceeds the volume  of Anna's cup

Part D) Find the smallest cylindrical cup that will hold two scoops of melted ice cream

we know that

The volume of a cylinder is equal to

[tex]V=\pi r^{2}h[/tex]

we have

[tex]V=72\pi\ in^{3}[/tex] ------> volume of two scoops of melted ice cream

[tex]r=3\ in[/tex]

substitute in the formula and solve for h

[tex]72\pi=\pi (3)^{2}h[/tex]

simplify

[tex]72=(9)h[/tex]

[tex]h=8\ in[/tex]

Answer:

x = 2

Step-by-step explanation:

Similar triangles are triangles which have the same shape but not the same size. This means their angle measures are equal but their side lengths are not instead they are proportional. To solve, we will set up a proportion and solve.

A proportion is two equal ratios set equal to each other. We form the ratios by finding corresponding sides (sides which match to each other on both triangles by their position). Out ratios will be one side of the small triangle over the corresponding side on the big triangle as shown below:

[tex]\frac{little}{big} =\frac{little}{big}[/tex].

[tex]\frac{36}{36 + 12}=\frac{24}{24 + 6x - 4}[/tex]

To solve the proportion, we'll cross multiply by multiplying numerator with denominator across the equal sign.

[tex]36(24 + 6x - 4)=(36+12)(24)\\36(6x + 20)=48(24)\\216x + 720 = 1152 \\216x = 432\\\frac{216x}{216}=\frac{432}{216} \\x = 2[/tex]

Answer:

10oz:1lb

Step-by-step explanation:

divide by two

Two plus two is equal to four

Answer:

2+2=4

Step-by-step explanation:

1+1=2

1+1=2

  ^=4

HOPE THIS HELPEDS!!!!! XD

Can I have brain? please

Answer:

wrong its 5gallons

Step-by-step explanation:

Answer:

Step-by-step explanation:

Thousands. You can check this by seeing how many places away from the furthest right digit a digit is. if it is 3 places away, it is in the thousands. If it something like 6 places away, it is in the millions.

The digit 5 in 1,435,967 represents 50,000 in the tens of thousands place value, highlighting the importance of understanding place values in large numbers.

In the number 1,435,967, the digit 5 is in the tens of thousands place value. To understand this, let's break down the place values in the number:

Millions: The digit 1 is in the millions place value.

Hundred Thousand: The digit 4 is in the hundred thousand place value.

Ten Thousand: The digit 3 is in the ten thousand place value.

Thousands: The digit 5 is not in the thousands place; it's in the tens of thousands place value.

Hundreds: The digit 9 is in the hundreds place value.

Tens: The digit 6 is in the tens place value.

Ones: The digit 7 is in the one's place value.

So, the digit 5 in the number 1,435,967 represents 50,000. In other words, it contributes to a value of 50,000 within the overall number. Place value is a crucial concept in understanding the numerical representation of large numbers, as it helps determine the significance of each digit within the number.

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Answer:

27m

Step-by-step explanation:

The diagram is shown in the attachment.

The height of the hot air balloon is calculated using the tangent ratio.

The tangent ratio involves the side length that is opposite(h) to the given angle (28) and the side length adjacent to the angle.

[tex]\tan 28\degree=\frac{h}{50}[/tex]

This implies that;

[tex]h=\50tan 28\degree[/tex]

[tex]h=26.585m[/tex]

The height is 27m to the nearest meters.

Using the tangent of the angle of elevation, the height of the hot air balloon is calculated to be approximately 26.585 meters.

To find the height of the hot air balloon, we can use trigonometric principles, specifically the tangent function, which relates the angle of elevation to the opposite side (the height of the balloon in this case) and the adjacent side (the distance from you to the balloon).

The angle of elevation to the top of the balloon is given as 28 degrees and the distance from the observer to the balloon is 50 meters. Using the formula for tangent:

tan(angle) = opposite/adjacent

In this case:

tan(28 degrees) = height/50 meters

Therefore, to find the height:

height = 50 meters * tan(28 degrees)

Calculating this using a calculator:

height ≈ 50 * 0.5317

height ≈ 26.585 meters

So, the height of the balloon is approximately 26.585 meters.

Answer:

to make 1000 gallons with 10% alcohol, we need 714.3 gallons of mixture that contains 5% alcohol and 285,7 gallons of mixture that contains 12% alcohol.

Step-by-step explanation:

According to the statement, there are two mixtures. One mixture contains 5% alcohol and the other contains 12% alcohol.

We want to make 1000 gallons with 10% alcohol, so we have the following system of equations:

A + B = 1000 gallons. [1]

0.05A + 0.12B = 0.1(1000) ⇒ 0.05A + 0.12B = 100 [2]

(Where 'A' represents the mixture that contains 5% alcohol and 'B' the one that contains 12% alcohol).

Solving the system of equations:

A + B = 1000 ⇒ A = 1000 - B [3]

[3] → [2]

0.05(1000 - B) + 0.12B = 100 ⇒ 50 - 0.05B + 0.12B = 100

⇒ 0.07B = 50 ⇒ B = 714.28 ≈ B=714.3 [4]

[4] → [1]

A + B = 1000 ⇒ A + 714.3 = 1000 ⇒ A = 285,7

Therefore, to make 1000 gallons with 10% alcohol, we need 714.3 gallons of mixture 'A' and 285,7 gallons of mixture 'B'