i am very confused as to how to go about this?

Answer:

98 in²

Step-by-step explanation:

14x7=98

Answer:

\(30x^2+7x-2\)

Step-by-step explanation:

Use the foil method/distribute:

(6x-1)(5x+2):

Breaks apart into: (6x)(5x) = 30x^2

Multiply the next term:(6x)(2)=12x

Then the next: (-1)(5x)=-5x

Last term: (-1)(2)=-2

Combine them to get: 30x^2+12x-5x-2

Simplify: 30x^2+7x-2

Answer:

Step-by-step explanation:

The solution is in the attached file

The value of x is 30 degrees as it is a complimentary angle. When two angles' measurements add up to 90 degrees, they are said to be complimentary. When two angles' measures sum up to 180 degrees, they are said to be supplementary.

Complementary angles are two angles with a combined angle of 90 degrees, whereas supplementary angles have a combined angle of 180 degrees.

Reflex angles are those that are larger than 180 degrees and less than 360 degrees. So 270 degrees is a reflex angle.

Since it is a right angle triangle,

hence

\((2x+1)+29=90\\2x+1=61\\2x=60\\x=30\)

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Answer:

sorry 2458946547165874%

Step-by-step explanation:

Answer:

-5.5

Step-by-step explanation:

The value of the surd when simplified is 1/6

We should recall that surd is the square root of all irrational numbers, simplification involves making it more simpler.

The given question is \(\frac{1}{(1-\sqrt{5 })^{2} } + \frac{1}{(1+\sqrt{5} )^{2} }\)

We shall be simplifying the expression in parts

From difference of two squares

(1)/[(1-√5)(1+√5) = 1+5 = 1/6

The second part is 1/[(1+√5)(1+√5) = 1/(1+√10+5)

= 1/(6+√10)

Joining the two parts to get

1/6 + 1/(6+√10

Simplifying the fractions

(√10+1)/(6+√10)

= 1/6

Therefore the value of the expression is 1/6

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The required expression is (x / 5) + 9

Given that we have to build an equation for the statement "9 more than the quotient of x and 5,

So,

This expression represents the quotient of x divided by 5, and then adding 9 to the result.

Therefore,

"9 more than the quotient of x and 5" can be written mathematically as:

(x / 5) + 9

Hence the required expression is (x / 5) + 9

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Answer:

m<QRP=42degrees

m<Q=79degrees

m<P=59degrees

Step-by-step explanation:

Note that the parameters of the graph a and graph b are given below.

Graph A - y=2(x-1)²

See graph attached.

Graph B - y = 1/2x² + 3

Vertex: The vertex of the function is (0, 3).

Axis of symmetry: The axis of symmetry is the vertical line passing through the vertex, which is x = 0.

Y-intercept: The y-intercept is the point where the graph intersects the y-axis. It is (0, 3).

Minimum or maximum: The coefficient of x² is positive, which means the parabola opens upwards, and therefore the function has a minimum value. The minimum value is 3.

Solutions: To find the solutions or roots of the quadratic equation, we need to set y or f(x) equal to zero and solve for x.

0 = 1/2 x² + 3

Subtracting 3 from both sides, we get:

-3 = 1/2 x²

Multiplying both sides by -2, we get:

6 = -x²

Taking the square root of both sides, we get:

x = ±√(-6)

Since the square root of a negative number is not a real number, the function has no real roots.

Minimum or maximum value: The minimum value of the function is 3.

Range: The range of the function is y ≥ 3, because the function has a minimum value of 3.

Domain: The domain of the function is all real numbers, because there are no restrictions on the values of x for which the function is defined.

Stretch/Shrink/Standard: The coefficient of x^2 is positive and less than 1, which means that the graph of the function is narrower than the graph of y = x². This is an example of a standard quadratic function that has been vertically compressed by a factor of 1/2.

See graph attached.


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Answer:

The first value of a relation is an input value and the second value is the output value. A function is a specific type of relation in which each input value has one and only one output value.

An input is an independent value, and the output value is the dependent value, as it depends on the value of the input.

Answer:

  x = 36

Step-by-step explanation:

Given a tangent segment of length 24, and a secant segment from the same point with an external length of 12 and a total length of (12+x), you want to find the value of x.

The product of lengths from the common point to the two intersections with the circle are the same for both segments. In the case of the tangent, the two intersections with the circle are the same point, so the square of the length is used.

  24² = 12(12 +x)

  2·24 = 12 +x . . . . . . . divide by 12

  36 = x . . . . . . . . . subtract 12

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Answer:

\(\frac{b-7}{b+1}=\frac{b-10}{b+4}\)

\(\left(b-7\right)\left(b+4\right)=\left(b+1\right)\left(b-10\right)\)

\(\left(b-7\right)\left(b+4\right)=b^2-3b-28\)

\(\left(b+1\right)\left(b-10\right)=b^2-9b-10\)

\(b^2-3b-28=b^2-9b-10\)

\(b^2-3b-28+28=b^2-9b-10+28\)

\(b^2-3b=b^2-9b+18\)

\(b^2-3b-\left(b^2-9b\right)=b^2-9b+18-\left(b^2-9b\right)\)

\(6b=18\)

\(\frac{6b}{6}=\frac{18}{6}\)

\(b=3\)

The given table does not represent a function. The correct answer is D. No, because one x-value corresponds to two different y-values.

To determine if the table represents a function, we need to check if every x-value corresponds to exactly one y-value. Let's analyze the given table:

x | y

-------

O | 1

X | 4

2 | 3

3 | 2

3 | 5

4 |

5 |

From the table, we can see that the x-values are not unique. Both the values 3 and 4 appear twice in the x-column, but they have different corresponding y-values.

This violates the definition of a function, which states that each input (x-value) should have only one output (y-value).

Therefore, the given table does not represent a function.

The correct answer is D. No, because one x-value corresponds to two different y-values.

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Answer:

20%

Step-by-step explanation:

Answer:

20%

Step-by-step explanation:

Answer:

-28x⁸y⁷z⁹ + 8x² y ¹⁰ + 24x²y⁷z³

Step-by-step explanation:

1) Distribute

4x²y⁷(-7x⁶z⁹ + 2y³ + 6z³)

-28x⁸y⁷z⁹ + 8x² y ¹⁰ + 24x²y⁷z³

Answer:

-28x^8y^7z^9 + 8x^2y^10 + 24x^2y^7z^3.

Step-by-step explanation:

4x^2y^7(-7x^6z^9+2y^3+6z^3)

Expanding:

= -28x^8y^7z^9 + 8x^2y^10 + 24x^2y^7z^3.

Answer:

Slope, sometimes referred to as gradient in mathematics, is a number that measures the steepness and direction of a line, or a section of a line connecting two points, and is usually denoted by m. Generally, a line's steepness is measured by the absolute value of its slope, m.

Step-by-step explanation:

Answer:

152

Step-by-step explanation:

Answer:

1. m=5

2. 2(8x+11)

3.m=7

Step-by-step explanation:

Answer:

  a.  False

  b.  True

  c.  True

  d.  True

  e.  False

Step-by-step explanation:

You want to know the truth value of various logical expressions when b = False, and x = 0.

An And (&&) expression is true if and only if all parts are true. An OR (||) expression is true if any part is true.

When 'b' is false, b&&__ will be false, and !b||__ will be true. This makes (a) and (e) false, and (d) true.

When x = 0, __||x==0 will be true, so (b) is true.

The And (&&) of expression (c) will only be true when both parts are true. For b = False and x = 0, both parts are true, so (c) is true.

   {a, b, c, d, e} = {False, True, True, True, False}

Answer:

The length will be 4.5 × 3.5 = 15.75 feet

The width will be 6 × 3.5 = 21 feet

So the area will be

15.75 feet × 21 feet = 330.75 square feet

The dimensions of the rectangular box are given as follows:

All the dimensions.

The volume of a rectangular prism, with dimensions length, width and height, is given by the multiplication of these dimensions, according to the equation presented as follows:

Volume = length x width x height.

The box's volume is obtained as follows:

54 x 1³ = 128 x (3/4)³ = 54 cubic inches. (the volume of a cube is the side length cubed)

Hence all the options can be the dimensions of the box, as all the options have a multiplication resulting in 54.

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Answer:

w= 50

Step-by-step explanation:

Answer: x = 50

Step-by-step explanation: 2w/5 - 9 = 11

                                                       +9    +9

                                                                20

2w/5 = 20

     *5    *5

             100

2w = 100

 2       2       = 50 so x = 50

Answer:

Eric, 13, 8th grade, can't call rn but would gladly help another time! :D

Step-by-step explanation:

Quadrilateral is a family of plane shapes that have four straight sides. Thus the sum of their internal angles is \(360^{o}\). Examples include rectangle, square, rhombus, trapezium, and kite.

A kite is a plane shape that has its adjacent sides to have equal measures.

The given diagram in the question is a kite that has its specific properties compared to other quadrilaterals.

Thus, the required proof is stated below:

Given: ΔCAV and ΔCEV

Prove that: ΔCAV ≅ ΔCEV

Then,

CE ≅ CA (length of side property of a kite)

EV ≅ AV (length of side property of a kite)

<ACV ≅ <ECV (bisected property of a given angle)

<AVC ≅ <EVC (bisected property of a given angle)

CV is a common side to ΔCAV and ΔCEV

Therefore it can be deduced that;

ΔCAV ≅ ΔCEV (Angle-Angle-Side congruent theorem)

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Answer:

(7,1)

Step-by-step explanation:

the translation is x+2 and y-5

Answer:

-5 2/3

Step-by-step explanation:

is 3(x-2) = -7 then it's same as 3x-6=-7

We simplify this by adding 6 and subtracting 6.

Our result is

3x=-17

-17/3=-5 2/3

Answer:

the decision rule is to reject H0 if Z is < -1.645

Step-by-step explanation:

this question is interested in the decision rule.

H0: u = 449

H1 : u <449

We find the test statistic

Mean bar x = 441

u = 449

Sd = 18

n = 37

Z = barX - u / sd/√n

= 441-449/18/√37

= -8/18/6.083

= -8/2.959

Z = - 2.7036

This is the value of the test statistic

The critical value at 0.05 = -1.645. this is a left tailed test

The decision rule is to reject H0 if Z < -1.645

The test statistic is less than the critical value

-2.7036 < -1.645

So we have enough evidence to reject H0. At 0.05 level we have enough evidence to support claim.

Step 1: Write the dividend and divisor:

\(\sf\:\frac{{x^3 - 8x^2 + 6x + 41}}{{x - 4}} \\ \)

Step 2: Divide the first term of the dividend by the first term of the divisor:

\(\sf\:\frac{{x^3}}{{x}} = x^2 \\ \)

Step 3: Multiply the divisor (x - 4) by the result (x^2):

\(\sf\:(x - 4) \cdot (x^2) = x^3 - 4x^2 \\ \)

Step 4: Subtract the result from the original dividend:

\(\sf\:(x^3 - 8x^2 + 6x + 41) - (x^3 - 4x^2) = -4x^2 + 6x + 41 \\ \)

Step 5: Bring down the next term from the dividend:

\(\sf\:\frac{{-4x^2 + 6x + 41}}{{x - 4}} \\ \)

Step 6: Repeat steps 2-5 with the new dividend:

\(\sf\:\frac{{-4x^2}}{{x}} = -4x \\ \)

\(\sf\:(x - 4) \cdot (-4x) = -4x^2 + 16x \\ \)

\(\sf\:(-4x^2 + 6x + 41) - (-4x^2 + 16x) = -10x + 41 \\ \)

Step 7: Bring down the next term from the dividend:

\(\sf\:\frac{{-10x + 41}}{{x - 4}} \\ \)

Step 8: Repeat steps 2-5 with the new dividend:

\(\sf\:\frac{{-10x}}{{x}} = -10 \\ \)

\(\sf\:(x - 4) \cdot (-10) = -10x + 40 \\ \)

\(\sf\:(-10x + 41) - (-10x + 40) = 1 \\ \)

Step 9: There are no more terms to bring down, so the division is complete.

Step 10: Write the final result:

The quotient is \(\sf\:x^2 - 4x - 10\\\) and the remainder is 1.

Therefore, the division of \(\sf\:(x^3 - 8x^2 + 6x + 41) by (x - 4) \\\) is:

\(\sf\:(x^3 - 8x^2 + 6x + 41) ÷ (x - 4) \\ \) \(\sf\:= x^2 - 4x - 10 + \frac{{1}}{{x - 4}} \\ \)