Look at this table:
X Y
-4 7
-3 5
-2 3
-1 1
0 -1
Write a linear function (y = mx + b) or an exponential function (y = a(b)*) that models the
data.

Answer:

x² + 34x + 104 = 0

x² + 34x = -104

x² + 34x + ((1/2)(34))² = -104 + ((1/2)(34))²

x² + 34x + 17² = -104 + 17²

x² + 34x + 289 = 185

(x + 17)² = 185

x + 17 = +√185

x = -17 + √185

The equivalent expression to the given expression ( 5/2) + 2( 2/5) + 7  is given by 11 ( 9 /10) .

Simplify the expression to get the equivalent expression:

( 5/2) + 2( 2/5) + 7

Convert mixed fraction 2( 2/5) into proper fraction we get:

2 ( 2 / 5 ) = ( 5 × 2 + 2 ) / 5

               = 12 / 5

Now, take the least common multiple of denominator we have:

( 5 / 2 ) + ( 12 / 5) + 7 / 1

Least common multiple of 2, 5, 1 is 10

( 5/ 2 ) × ( 5 / 5 ) + ( 12 / 5 )× ( 2/2) + ( 7 / 1) × ( 10 /10)

=( 25 / 10) + ( 24 /10) + ( 70 /10)

= ( 25 + 24 + 70 ) / 10

= 119 / 10

= 11 ( 9 /10)

Therefore, the equivalent expression is equal to 11 ( 9 /10).

The given question is incomplete, I answer the question in general according to my knowledge:

Which expression is equivalent to the given expression :

( 5/2) + 2( 2/5) + 7

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Answer:

The equation is 3n + 13 = 40 The triplets are 9 years old

Step-by-step explanation:

Answer:

1.     m∠1 = 60° because angle ∠1 and the 60° angle are vertical angles

2.    ∠1 and ∠2 are adjacent.

3.    m∠2 = 180° - 60°

Step-by-step explanation:

m∠2 is not equal to 60° because it is the complementary angle of the one labeled 60°. Therefore, m∠2 = 30°. m∠2 can be determined by the information given. m∠1 ≠ m∠2 because m∠1 = 60° and m∠2 = 30°

Answer:

\(x^3-8 = \left(x-2\right)\left(x^2+2x+4\right)\)

\(x^3+\:8 = \left(x+2\right)\left(x^2-2x+4\right)\)

Step-by-step explanation:

The factors of the expression 8x³ + 1 and 8x³ - 1³ will be (2x + 1) & (4x² – 2x + 1) and (2x – 1) & (4x² + 2x + 1), respectively.

An algebraic expression having variables and coefficients is known as a polynomial expression. What they are called are unknown variables. We can employ mathematical operations like addition, subtraction, and others. A variable, however, cannot be divided.

The expression is given below.

8x³ + 1 and 8x³ - 1³

(2x)³ + 1³ and (2x)³ - 1³

We know that the formula is given as,

a³ + b³ = (a + b) (a² – ab + b²)

a³ – b³ = (a – b) (a² + ab + b²)

Then the expression is written as,

(2x)³ + 1³ = (2x + 1) [(2x)² – 2x + 1²]

(2x)³ + 1³ = (2x + 1) (4x² – 2x + 1)

(2x)³ – 1³ = (2x – 1) [(2x)² + 2x + 1²]

(2x)³ – 1³ = (2x – 1) (4x² + 2x + 1)

The factors of the expression 8x³ + 1 and 8x³ - 1³ will be (2x + 1) & (4x² – 2x + 1) and (2x – 1) & (4x² + 2x + 1), respectively.

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A) Function is increasing on (-∞, -1) and (7/2, ∞), and decreasing on (-1, 7/2).

b)  The local minimum value of f is; 5608/2197 at x = -42/13, and the local maximum value of f is 139/8 at x = 7/2.

(a) To determine the intervals on which f is increasing or decreasing, we need to determine the critical points and then check the sign of the derivative on the intervals between them.

f(x)=8x³-42x-48x + 4

f'(x) = 24x² - 90

Setting f'(x) = 0, we get

24x² - 90 = 0

24x² = 90

x =±  √3.75

So, the critical points are;

x = -1 and x = 7/2.

We can test the sign of f'(x) on the intervals as; (-∞, -1), (-1, 7/2), and (7/2, ∞).

f'(-2) = 72 > 0, so f is increasing on (-∞, -1).

f'(-1/2) = -25 < 0, so f is decreasing on (-1, 7/2).

f'(4) = 72 > 0, so f is increasing on (7/2, ∞).

Therefore, f is increasing on (-∞, -1) and (7/2, ∞), and decreasing on (-1, 7/2).

(b) To determine the local maximum and minimum values of f, we need to look at the critical points and the endpoints of the interval (-1, 7/2).

f(-1) = -49

f(7/2) = 139/8

f(-42/13) = 5608/2197

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Answer:

( 11 , 3 )

Step-by-step explanation:

going right means a positive change to the x value, and going down is a negative change to the y value.

Answer:

a.

\(f(t) = 21000( {.918}^{t} )\)

b.

\(f(4) = 21000( {.918}^{4}) = 14913.86\)

Answer:

2.

Step-by-step explanation:

Let the number be x.

2x+7 = 11

2x = 11-7

x = 4/2

x = 2

Hope this helped!

if it crosses the y-axis as -12, that means that's its y-intercept, and we know its slope.

\(\begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}~~ \implies ~~y=\stackrel{\stackrel{m}{\downarrow }}{5}x\underset{\underset{b}{\uparrow }}{-12}\)

The missing length in the triangle is 12 units

From the question, we have the following parameters that can be used in our computation:

Area = 24 unit square

Base length = 4 units

using the above as a guide, we have the following:

Area = 1/2 * Base * Height

Substitute the known values in the above equation, so, we have the following representation

1/2 * 4 * x = 24

Evaluate

x = 12

Hence, the missing length is 12 units

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Answer: it is - 13

Step-by-step explanation: it is -13 because it either can be less or more

Answer:

The answer is 3 + p × 7.....

.

Answer:

0

Step-by-step explanation:

Because I did the math

the third-degree polynomial function with real coefficients, having the zeros 6 + i, 6 - i, and 7, is:

f(x) = (x² - 12x + 37)(x - 7)

To form a third-degree polynomial function with real coefficients such that the complex number 6 + i and the real number 7 are zeros, we can use the fact that complex zeros come in conjugate pairs.

Given that 6 + i is a zero, its conjugate 6 - i will also be a zero. Thus, the zeros of the polynomial are 6 + i, 6 - i, and 7.

To find the polynomial function, we start by forming the factors corresponding to each zero:

(x - (6 + i))   --> This corresponds to the zero 6 + i

(x - (6 - i))   --> This corresponds to the zero 6 - i

(x - 7)        --> This corresponds to the zero 7

To simplify the factors, we multiply them out:

(x - (6 + i))(x - (6 - i))(x - 7)

= ((x - 6) - i)((x - 6) + i)(x - 7)

= ((x - 6)² - i²)(x - 7)

= ((x - 6)² + 1)(x - 7)

Expanding the squared term:

= (x² - 12x + 36 + 1)(x - 7)

= (x² - 12x + 37)(x - 7)

Therefore, the third-degree polynomial function with real coefficients, having the zeros 6 + i, 6 - i, and 7, is:

f(x) = (x² - 12x + 37)(x - 7)

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Answer:

The correct answer is D. Enough to feel rested.

Answer:

Range = highest value - lowest value

Explanation:

This is the required formula to find range from a distribution table.

The numerical length of PQ is 20

A line segment in geometry is a section of a line that has two clearly defined endpoints and contains every point on the line that lies within its confines.

Given that the line segments are: -

OQ=11  O P = 9

The numerical value of PQ will be calculated as below.

OP+OQ=PQ

11+9=PQ=11+9=PQ

Therefore PQ=20=PQ

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Answer: 11

Step-by-step explanation:

The maximum number of terms in a polynomial of degree 10 is 11.

A polynomial of degree n is a mathematical expression consisting of one or more terms, where each term is a product of a constant coefficient and one or more variables raised to non-negative integer powers, and the highest power of the variables in any term is n. The degree of a polynomial is the highest power of its variables.

A polynomial of degree 10 has the form:

f(x) = a₁₀x¹⁰ + a₉x⁹ + a₈x⁸ + a₇x⁷ + a₆x⁶ + a₅x⁵ + a₄x⁴ + a₃x³ + a₂x² + a₁x¹ + a₀

Where a₀, a₁, a₂, a₃, a₄, a₅, a₆, a₇, a₈, a₉, and a₁₀ are constants, and a₁₀ ≠ 0.

The polynomial has at most 11 terms.

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Answer:

-Do not touch the contacts or interconnects or pads on ( RAM/DIMM's, GPU / Graphic's Card's, CPU / Processor )

-Not being concerned or cautious about ESD

-Do not over torque / over tighten screws.

-Not giving yourself enough room to build

-Not using a magnetic tray when building

Answer:

Parts

GEFORCE RTX 2060 SUPER this is a good graphics card for 399

intel core i5 is a pretty good budget processer

I recomend a nzxt case they are pretty good

these are only some parts but these are pretty good budget

Answer:

27.2 m³

Step-by-step explanation:

Given:

Formula:

\((\text{Base edge})^{2} \times \dfrac{\text{Height}}{3}\)

Replace the base edge and the height in the formula:

\(\implies (\text{4})^{2} \times \dfrac{\text{5.1}}{3}\)

Evaluate the volume of the prism:

\(\implies (\text{4})(4) \times 1.7\)

\(\implies 16 \times 1.7\)

\(\implies 27.2 \ \text{m}^{3}\)

Answer:

27.2 cm³

Step-by-step explanation:

Volume of a square pyramid

\(\sf V=\dfrac13a^2h\)

where:

Given:

\(\sf \implies Volume=\dfrac13\cdot 4^2\cdot5.1=27.2\;cm^3\)

Answer:

B. perpendicular

Step-by-step explanation:

the lines AC and CH touch creating a 90 degree angle, so they are perpendicular lines

Answer:

78.55cm^2

Step-by-step explanation:

Given data

DIameter of pie= 20 cm

Radius of pie= 10cm

Area of pie= πr^2

Area= 3.142*10^2

Area= 3.142*100

Area= 314.2 cm^2

Hence one fourth  of 314.2 cm^2 is

= 314.2/4

= 78.55cm^2

Therefore the area of the sector is 78.55cm^2

Simplify the expression and express in standard form.

So answer is,

Answer:

Line

Step-by-step explanation:

a linear function is a graph with a straight line that does not overlap and follows the form y=mx+b

Using division operation with unit conversions, the length of ribbon that each of the 18 students in Mrs. Hinojosa's class gets is as follows:

a) 4.2 feet.

b) 4 feet and 2 inches

c) 50 inches.

Division and multiplication operations are used in unit conversions.

Unit conversions involve converting measurements from hours to minutes or seconds, centimeters to meters and miles, etc.

The total quantity of ribbon Mrs. Hinojosa had = 75 feet

1 foot = 12 inches

75 feet = 900 inches (75 x 12)

The number of students in the class = 18

The length of ribbon received by each student = 4.167 feet (75 ÷ 18)

The length of ribbon received by each student ≈ 4 feet and 2 inches

The length of ribbon received by each student in inches only = 50 inches (900 ÷ 18)

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