Math isn't really my thing, so if you could help I would really, really appreciate!!​

Answer:

a. A(x) = 3x² - 8x + 5

b. x = ⁸/₃

Step-by-step explanation:

a.

A(x) = shaded area

A(x) = (2x - 3)² - (x - 2)²

= 4x² - 12x + 9 - (x² - 4x + 4)

= 4x² - x² - 12x + 4x + 9 - 4

= 3x² - 8x + 5

b.

ΔABF area = ⁵/₄ cm²

A(x) = 4(⁵/₄)

= 5

Substitution:

3x² - 8x + 5 = A(x) = 5

3x² - 8x + 5 = 5

3x² - 8x = 0

x(3x - 8) = 0

3x - 8 = 0

x = ⁸/₃

x = 0

Since x > 2, x = 0 is not valid;

So, x = ⁸/₃

Answer:

What do you mean for this question?

Step-by-step explanation:

Give specific details

Answer:

E= 0 Good luck answering the other questions :)

Step-by-step explanation:

A scale of 1:5 indicates that real measurement of the machine is five times one unit in the drawing.

The title block on a working drawing shows some important details that may be relevant in reading the drawing. One of such important details is the scale of the drawing.

The scale tells us how the size of the drawing relates to the actual size in the real world. Hence, a scale of 1:5 indicates that real measurement of the machine is five times one unit in the drawing.

Learn more about scale drawing: https://brainly.com/question/147532

Answer:

$7.56

Step-by-step explanation:

7% = 0.07

108.00 x 7% = $7.56

[tex]\lim \limits_{x \to 0^{+}} \left( \csc x + \dfrac 1x \right)\\=\lim \limits_{x \to 0^{+}} \csc x + \lim \limits_{x \to 0^{+}} \dfrac 1x\\\\=\infty[/tex]

Answer:

$82.50

Step-by-step explanation:

You add seven dollars to $1.50 and you would get the sum of 8.50 then you multiply the amount of books purchased. The Equation is 5($8.50) + $30.00= 82.50

Sorry if I get this wrong.

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Work Shown:

h(x) = 7x-5

h(2) = 7(2)-5

h(2) = 14-5

h(2) = 9

f(h(2)) = f(9)

f(x) = x^2-7

f(9) = 9^2-7

f(9) = 81-7

f(9) = 74

f(h(2)) = 74

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Here's a slightly alternative approach:

f(x) = x^2 - 7

f(h(x)) = ( h(x) )^2 - 7

f(h(x)) = ( 7x-5 )^2 - 7

f(h(2)) = ( 7*2-5 )^2 - 7

f(h(2)) = ( 14-5 )^2 - 7

f(h(2)) = ( 9 )^2 - 7

f(h(2)) = 81 - 7

f(h(2)) = 74

Answer:

Step-by-step explanation:

Use law of cosines

c² = a² + b² - 2abcosθ

cosθ = (c² - a² - b²) / -2ab

c = length of AC = √(8 - 5)² + (4 - (-5))² = √90

b = length of AB = √(8 - 6)² + (4 - 3)² = √5

a = length of BC = √(6 - 5)² + (3 - (-5))² = √65

cosθ = (√90² - √65² - √5²) / -2√65√5

cosθ = 20 / -36.05551...

cosθ = - 0.5547001

θ = 123.69°

Answer:

Step-by-step explanation:

1. In some zoos the are more elephants than giraffes, then this conjecture can be true sometimes, however, this can not always be true because some zoo could have more giraffes

2. This can be true unless that turtle ages, or another is found that is taken into captivi9ty and found to be older

3. While most American bison are usaually below 6 feet, that is no gureantee there is no occasaional taller American Bison.

I do not know if these meet your teacher's starndard, but I hope they do. Please thanks and rate!

Ratio of total circles to total shapes is 4 : 7

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

There are 8 triangles and 6 circles. The ratio of total circles to total shapes is given by:

Ratio of total circles to total shapes = 8 circles : (8 + 6) shapes

Ratio of total circles to total shapes = 8 : 14 = 4 : 7

Find out more about equation at: https://brainly.com/question/2972832

Answer:

56

Step-by-step explanation:

Answer:

$1,251

Step-by-step explanation:

Formula: [tex]A = P(1 + \frac{r}{n})^{nt}[/tex]

A = final amount

P = initial principal balance

r = interest rate

n = number of times interest applied per time period

t = number of time periods elapsed

Plug the values into the formula; solve:

[tex]r = \frac{r}{100}[/tex]

[tex]r = \frac{1.4}{100}[/tex]

[tex]r = 0.014[/tex]

0.014 rate per year

[tex]A = Pe^{rt}[/tex]

[tex]A = 1,200.00^{(2.71828)}^{(0.014)(3)}[/tex]

[tex]A = $1,251.47\\[/tex]

1,251.47 is 1251 rounded because the first value after the decimal point is not greater or equal to 5.

Answer:

1251

Step-by-step explanation:

Answer:

x < -2

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Equality Properties

Terms/Coefficients

Step-by-step explanation:

Step 1: Define

Identify.

5x + 12 < 2

Step 2: Solve for x

Answer:

x < - 2

Step-by-step explanation:

5x + 12 < 2 ( subtract 12 from both sides )

5x < - 10 ( divide both sides by 5 )

x < - 2

Answer:

-15

Step-by-step explanation:

work in reverse

-18 is three less than something

that means that something is 3 more than -18

so

add 3 to -18

-18+3= -15

First, look for the zeroes of the integrand in the interval [0, 6] :

x² - 6x + 8 = (x - 4) (x - 2) = 0   ⇒   x = 2   and   x = 4

Next, split up [0, 6] into sub-intervals starting at the zeroes we found. Then check the sign of x² - 6x + 8 for some test points in each sub-interval.

• For x in (0, 2), take x = 1. Then

x² - 6x + 8 = 1² - 6•1 + 8 = 3 > 0

so x² - 6x + 8 > 0 over this sub-interval.

• For x in (2, 4), take x = 3. Then

x² - 6x + 8 = 3² - 6•3 + 8 = -1 < 0

so x² - 6x + 8 < 0 over this sub-interval.

• For x in (4, 6), take x = 5. Then

x² - 6x + 8 = 5² - 6•5 + 8 = 3 > 0

so x² - 6x + 8 > 0 over this sub-interval.

Next, recall the definition of absolute value:

[tex]|x| = \begin{cases}x & \text{for }x \ge0 \\ -x & \text{for }x < 0\end{cases}[/tex]

Then from our previous analysis, this definition tells us that

[tex]|x^2 - 6x + 8| = \begin{cases}x^2 - 6x + 8 & \text{for }0<x<2 \text{ or } 4<x<6 \\ - (x^2-6x+8) & \text{for }2<x<4\end{cases}[/tex]

So, in the integral, we have

[tex]\displaystyle \int_0^6 |x^2-6x+8| \, dx = \left\{\int_0^2 - \int_2^4 + \int_4^6\right\} (x^2 - 6x + 8) \, dx[/tex]

Then

[tex]\displaystyle \int_0^2 (x^2 - 6x + 8) \, dx = \left(\frac13 x^3 - 3x^2 + 8x\right) \bigg|_0^2 = \frac{20}3 - 0 = \frac{20}3[/tex]

[tex]\displaystyle \int_2^4 (x^2 - 6x + 8) \, dx = \left(\frac13 x^3 - 3x^2 + 8x\right) \bigg|_2^4 = \frac{16}3 - \frac{20}3 = -\frac43[/tex]

[tex]\displaystyle \int_4^6 (x^2 - 6x + 8) \, dx = \left(\frac13 x^3 - 3x^2 + 8x\right) \bigg|_4^6 = 12 - \frac{16}3 = \frac{20}3[/tex]

and the overall integral would be

20/3 - (-4/3) + 20/3 = 44/3

Answer:

Genes are DNA transferred to off spring by parents

Answer:

Genes are sections of DNA that code for a particular trait. Genes are nucleic acids.

Step-by-step explanation:

Answer:

x + 9 = 32

Step-by-step explanation:

answer for x is 32 - 9 = 23

Answer:

x=41

Step-by-step explanation:

9²+40²=x²

81+1600=x²

1681=x²

√1681=√x²

41=x

Answer:

(-2, 2).

Step-by-step explanation:

  x - y = -4

-5x + 6y = 22    Multiply the first equation by 5:

5x - 5y = -20    Now  Add the last 2 equations:

y = 2.

Substitute y = 2 in the first equation:

x - 2 = -4

x = -4 + 2

x = -2.

Answer:

x=1/2, y=9/2. (1/2, 9/2).

Step-by-step explanation:

x-y=-4

-5+6y=22

--------------

y=x-(-4)

y=x+4

-5+6(x+4)=22

-5+6x+24=22

6x+24-5=22

6x+19=22

6x=22-19

6x=3

x=3/6

x=1/2

y=1/2+4=1/2+8/2=9/2.

Answer:

B.ON THE EDGE

Step-by-step explanation:

Answer:

x=7.85

Step-by-step explanation:

Give the triangles we know that:

[tex] \frac{cd}{fh} = \frac{de}{hg} = \frac{ce}{gf} [/tex]

Now we can substitute like usual

[tex] \frac{78}{fh} = \frac{117}{54} = \frac{ce}{5x + 1} [/tex]

Now we simplify the fraction in the middle

the middles fraction will =13/6

Therefore:

[tex] \frac{78}{fh} = \frac{13}{6} [/tex]

so 13fh=468

Therefore: fh=36

Now we can use the Pythagorean theorem

so

[tex]gf = \sqrt{ {54}^{2} - {36}^{2} } [/tex]

so gf=18√5

so 5x+1=18√5

so 5x=-1+18√5

so x=7.85

(I'm not too sure about this one tho)

Answer:

alternate exterior angles are equal .

17x + 2 = 18x - 2

x = 2 + 2

x = 4

Step-by-step explanation:

Answer:0.07% because 710-654 is 56 and 56 divided by 710 is 0.07

Answer:

Step-by-step explanation:

Find the difference between the actual and estimate, this is the error:

Find the percent error, which is the error over the actual:

Similar triangles may or may not have congruent sides, but the ratio of the corresponding sides will always be congruent.

(3) Corresponding sides of △MNP and △RST

Given that △MNP ∼△RST.

This means that, the corresponding sides are:

(4) The equal measures

Given that △ABC ∼△TUV

This means that, the corresponding angles are equal, but corresponding sides are not.

So, the equal measures are:

The unequal measure is:

(c) Scale mapping

The scale mapping is given as:

[tex]Ratio = 1\ in : 100\ mi[/tex]

The above scale means that 1 inches on the scale represents 100 miles of the actual distance.

Take for instance, 5 inches would represent 500 miles.

500 is 5 times 100

Hence, the actual distance between two towns 100 times the map distance between the two towns

Read more about similar triangles at:

https://brainly.com/question/14285697

Answer:

x=1......................

Answer: 5.15 x 10^2

Step-by-step explanation:

3.8 x 103 + 1.7 x 103 = 5 x 103 = 515 = 5.15 x 10^2

Answer:

Option D

2√10

Step-by-step explanation:

√8 • √5 = √8 × 5 = √40 = 2√10

Thus, √8 • √5 = 2√10

-TheUnknownScientist 72