Which ordered pair below is a solution to the following system of equations?

-x + 2y = 5

x + y = 1

Answer:

-x^3-5x^2+10x-4

Step-by-step explanation:

(−x + 1) (x ^ 2 + 6x − 4) = (-x)(x ^ 2 + 6x − 4) + 1(x ^ 2 + 6x − 4)

= -x^3-6x^2+4x+x^2+6x-4 = -x^3-5x^2+10x-4

The unit rate for every 1 student out of school, there are 10 students going to school is 10 students going to school per 1 student out of school

An equation is an expression that shows the relationship between two or more numbers and variables.

A unit rate is a ratio between two different units with a denominator of one.

If For every 1 student out of school, there are 10 students going to school, hence:

Unit rate = 10/1 = 10 students going to school per 1 student out of school

The unit rate for every 1 student out of school, there are 10 students going to school is 10 students going to school per 1 student out of school

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The decreasing interval of the function are x ≤ -6, 1 < x ≤ 5 and x > 6

From the given graph, the function value decrease at the following x values

This can be properly represented as:

x ≤ -6, 1 < x ≤ 5 and x > 6

Hence, the decreasing interval of the function are x ≤ -6, 1 < x ≤ 5 and x > 6

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The statement that apply is that the volume of the cone is One-third the volume of the cylinder

volume of a cone = 1 / 3 πr²h

where

Volume of a cylinder = πr²h

where

The cone and the cylinder has the same base and height. Therefore, the radius and height are the same .

volume of the cylinder = 84π

Therefore, the volume of the cone is One-third the volume of the cylinder.

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The length of GH is 15.

GH = IG

GH = 5x - 10

IG = 3x

5x - 10 = 3x

5x - 3x = 10

2x = 10

x = 10/2 = 5

GH = 5x - 10

= 5 * 5 - 10 = 25 - 10

GH = 15

<ABD = < DBC

<ABD = 10y°

<DBC = (8y + 4)°

10y° = (8y + 4)°

10y = 8y + 4

10y - 8y = 4

2y = 4

y = 4/2 = 2

The value of y is 2

<DBE = <DBC + <CBE

<DBC = 10y°

<CBE = <DBC = 10y°

y = 2

<DBC = <CBE = 10y° = 10*2° = 20°

<DBE = 20° + 20° = 40°

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Answer:

Step-by-step explanation:

4x + 2(-2X +1) = -2

Order of operations -

4x + -4x +2 = -2

Combine terms

4x-4x=0x

2 = -2

Answer:

no solution

Step-by-step explanation:

y = - 2x + 1 → (1)

4x + 2y = - 2 → (2)

substitute y = - 2x + 1 into (2)

4x + 2(- 2x + 1) = - 2 ← distribute parenthesis and simplify left side

4x - 4x + 2 = - 2 ( subtract 2 from both sides )

0 = - 4 ← not possible

this indicates the system of equations has no solution

Answer:

k

Step-by-step explanation:

Answer: Give me the full answer and i will be able to answer it

Step-by-step explanation:

Answer:

x=1

Step-by-step explanation:

Original Equation:

[tex]-5(5x+3)-5x+1= -44[/tex]

Distribute the -5

[tex]-25x-15-5x+1= -44[/tex]

Add like terms

[tex]-30x-14=-44[/tex]

Add 14 to both sides

[tex]-30x=-30[/tex]

Divide both sides by -30

[tex]x=1[/tex]

Answer:

x = 1

Step-by-step explanation:

-5(5x+3) - 5x + 1 = -44

(-5*5x -5*3) - 5x + 1 = -44

(-25x - 15) - 5x + 1 = -44

-25x - 5x - 15 + 1 = -44

-30x - 14 = -44

-30x = -44 + 14

-30x = -30

x = -30/-30

x = 1

Check:

-5(/5*1) + 3) - 5*1 + 1 = -44

-5(5+3) - 5 + 1 = -44

-5*8 - 5 + 1 = -44

-40 - 5 + 1 = -44

-45 + 1 = -44

Answer: [tex]\frac{\sqrt{65}}{4}[/tex]

Step-by-step explanation:

By the Pythagorean theorem, the unknown side has length

[tex]\sqrt{9^{2}-4^{2}}=\sqrt{65}[/tex]

Therefore,

[tex]\tan \theta=\boxed{\frac{\sqrt{65}}{4}}[/tex]

You define complex numbers as the reals, i, as usually defined, and their linear combinations using real coefficients, then,

The reals are complex numbers, even if you haven’t fully defined their properties.

If you define complex numbers as the form (a,b) with and a, b are real numbers, then you can say that each real number a is isomorphic with that complex number,

if b=0 once you define their properties.

A complex number can be visually represented as a pair of numbers (a, b) forming a vector on a diagram called an Argand diagram, representing the complex plane.

Of course, (0,1) will be i. You’ll have to define the multiplication rule, etc.

In actual usage, we gloss over the distinction, and real numbers are complex numbers with no imaginary part.

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BC = EF

the side has to lie between the two angles

Answer:

[tex] \tt \: x.( - 1).( - x).(1)[/tex]

[tex] \longrightarrow \tt ( - x). (- x)[/tex]

[tex] \longrightarrow \boxed{\tt{x}^{2} }[/tex]

------- HappY LearninG <3 --------------

The verbal description matches option D; Gene earns 2% interest after depositing $150 into his account.

The function is a type of relation, or rule, that maps one input to specific single output.

The function given;

f(x) = 0.02 x +150

Gene earns 2% interest after depositing $150 into his account.

Thus, this verbal description matches the function given as it represents, the total account balance Gene.

Hence, Option D is the correct answer.

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Answer:

Step-by-step explanation:

[tex]\dfrac{8^2}{2^{10}}\\=\dfrac{(2^3)^2}{2^{10}}\quad (8=2^3)\\\\=\dfrac{2^6}{2^{10}}\\\\=\dfrac{1}{2^{4}}=\dfrac{1}{16} \\\\or \quad 2^{-4} .[/tex]

Answer:

x= -2, -11

Step-by-step explanation:

The measure of [tex]\theta[/tex] is 68 degrees

The complete question is in the attached image

The value of [tex]\theta[/tex] is calculate using the following cosine function

[tex]\cos(\theta) = \frac 38[/tex]

Evaluate the quotient'

[tex]\cos(\theta) = 0.375[/tex]

Take the arc cos of both sides

[tex]\theta = \cos^{-1}(0.375)[/tex]

Evaluate the arc cos

[tex]\theta = 67.97[/tex]

Approximate to the nearest degree

[tex]\theta = 68[/tex]

Hence, the measure of [tex]\theta[/tex] is 68 degrees

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The function that is graphed is f(x) = |x - 3| + 1

The parent absolute function is:

f(x) = |x|

From the graph, we have the following transformations:

This is represented as:

(x, y) = (x - 3, y + 1)

So, we have:

f(x) = |x - 3| + 1

Hence, the function that is graphed is f(x) = |x - 3| + 1

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Answer: y=[tex]\sqrt[3]{x}[/tex]-4

Step-by-step explanation:

Using translation concepts, the transformation is given as follows:

a) Polygon A has been translated down then right.

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.

In this problem, the orientation of the polygon is the same, hence there was no rotation nor reflection, which means that option A is correct.

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Answer:

(4,6)

Step-by-step explanation:

To calculate the midpoint of two points, just calculate the arithmetic mean (average) of the x and y values of the two points given. For example, it is easy to see visually that the midpoint of (2, 0) and (4, 0) is (3, 0), since (3,0) falls right in the middle of the two points. However, the way to calculate this would be to take the average of 2 and 4 (3), along with the average of 0 and 0 (0). This process gives us our new point (3, 0). In case this doesn't make sense, here is the formula for the midpoint of two points - (x1,y1) and (x2,y2):

[tex]M=(\frac{x1+x2}{2},\frac{y1+y2}{2} )[/tex]

For this problem, E is (2,4) and F is (6,8). So, the midpoint would be:

[tex](\frac{2+6}{2},\frac{4+8}{2})=(\frac{8}{2},\frac{12}{2})=(4,6)[/tex]

Therefore, the midpoint is (4,6)

Answer:

4 ounces

Step-by-step explanation:

I'm assuming when it says: [tex]33\frac{1}{3}%[/tex]% it means 33.3333333333 instead of 33/3.

Anyways under that assumption, we currently have 20 ounces in the grape juice, since 4 ounces is grape juice concentrate and 16 ounces is water. So currently let's just say that the total amount of grape juice concentrate is going to be: [tex](4+x)[/tex] where x is the amount of grape juice concentrate you need to add to make it 33.33%. The next thing to know is how to calculate how much percent a is of b. This can be calculated using the equation: [tex]\frac{a}{b}*100[/tex]. So in this case the a is going to be the grape juice concentrate, and the b is going to be the entire mixture (water and grape juice). Since the concentrate is having x added to it, that means the entire thing is also having x added to it. This means we have the equation: [tex]\frac{4+x}{20+x} * 100[/tex], since we already have 4 ounces of grape juice concentrate, and we already have 20 ounces in total (16 ounces of water + 4 ounces of grape juice). This is going to be equal to 33.33%, or in other words 33 1/3. So to make this a bit easier, I'm going to convert this mixed fraction into one fraction, this gives you the fraction: [tex]\frac{100}{3}[/tex]. So now that's all left to do is set these two expressions equal to each other and solve for x

Original equation

[tex]\frac{4+x}{20+x}*100=\frac{100}{3}[/tex]

Divide both sides by 100

[tex]\frac{4+x}{20+x}=\frac{100}{3}\div 100[/tex]

Keep fraction, change division to multiplication, flip 100

[tex]\frac{4+x}{20+x}=\frac{100}{3}* \frac{1}{100}[/tex]

The 100 in the numerator will cancel out the one in the denominator

[tex]\frac{4+x}{20+x}=\frac{1}{3}[/tex]

Multiply both sides by 20+x

[tex]4+x=\frac{20+x}{3}[/tex]

Multiply both sides by 3

[tex]3(4+x)=20+x[/tex]

Distribute the 3

[tex]12+3x=20+x[/tex]

Subtract x from both sides

[tex]12+2x=20[/tex]

Subtract 12 from both sides

[tex]2x=8[/tex]

Divide both sides by 2

[tex]x=4[/tex]

So Kahn needs to pour 4 more ounces of grape juice, to double check this, since the mixture already has 4 ounces of grape juice, this means the final mixture will have a total of 8 ounces of grape juice concentrate, and a total of 24 ounces, since it already had 16 ounces of water, and 4 ounces of grape juice and now there is 4 more ounces of grape juice being added, so a total of 24 ounces. this means that 8/24 will be grape juice concentrate or in other words: [tex]\frac{1}{3}[/tex] and when you multiply this by 100 (to convert to percent), you get 100/3 or 33 1/3%

Answer: 5.3

Step-by-step explanation:

[tex]12.6-(5.1+2.2)\\\\=12.6-7.3\\\\=5.3[/tex]

By critically observing the basketball hoop (see attachment), we can logically deduce that the basket's height from Lisa's horizontal sight is the same as the length of the shortest leg of the right-angle triangle:

Shortest leg = 8.5 - 5

Shortest leg = 3.5 feet.

In Geometry, the sum of all the angles in a triangle is equal to 180°:

x + y + z = 180

x + y + 90 = 180

x + y = 180 - 90

x + y = 90° (complementary angle).

Therefore, the angle of depression is complementary to the angle of elevation.

Also, you should use the inverse tangent function because the lengths of the opposite and adjacent sides of the right-angle triangle are known.

Angle of depression = tan⁻¹(Opposite/Adjacent)

Angle of depression = tan⁻¹(3.5/10)

Angle of depression = 19.29° ≈ 19°.

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Answer:

3.5

congruent

inverse tangent

19

Step-by-step explanation:

Answer:

The answer is option c

Answer:

The answer is B.

Answer:

B) Because of one man’s actions, whales never eat human beings.

Step-by-step explanation:

I'm pretty sure :P

Answer:

Because of one man’s actions, whales never eat human beings.

Step-by-step explanation: