Evaluate the algebraic expression for the given value of the variable.
x2 + 7x; x = 5

Answer:

There are generally 3 methods to solve inequalities

Step-by-step explanation:

By algebraic method

Example 1: Solve: 2x - 7 < x - 5

2x - x < 7 - 5

x < 2

By the number-line method.

Example 2. Solve  

f

(

x

)

=

x

2

+

2

x

−

3

<

0

First, solve f(x) = 0. There are 2 real roots x1 = 1, and x2 = - 3.

Replace x = 0 into f(x). We find f(0) = - 3 < 0. Therefor, the origin O is located inside the solution set.

Answer by interval: (- 3, 1)

--------------------- - 3 ++++++++ 0 ++++ 1 ----------------

3.By graphing method.

Example 2. Solve:  

f

(

x

)

=

x

2

+

2

x

−

3

<

0

.

The graph of f(x) is an upward parabola (a > 0), that intersects the x-axis at x1 = 1 and x2 = - 3. Inside the interval (-3, 1), the parabola stays below the x-axis --> f(x) < 0.

Therefor, the solution set is the open interval (-3, 1)

graph{x^2 + 2x - 3 [-10, 10, -5, 5]}

Answer:

8

Step-by-step explanation:

Since the entire triangle was translated, each point gets shifted 9 left and 3 up which does not alter the triangle measurements, so all sides and angles of triangle' is the same as the original.

Answer:

- 40

Step-by-step explanation:

Substitute the given values into the expression

- x² + 6zy

= - 10² + 6( - 5 × - 2)

= - 100 + 6(10)

= - 100 + 60

= - 40

Answer:

midpoint formula: (x₁ + x₂)/2, (y₁ + y₂)/2

distance: √[(x₂ - x₁)² + (y₂ - y₁)²]

Step-by-step explanation:

What points are you trying to calculate the distance and the midpoint for?

Answer:

60°

Step-by-step explanation:

90° = 6x

15° = x

60° = 4x

Answer:

60

Step-by-step explanation:

We know that LMO = 90

2x+4x = 90

6x = 90

Divide by 6

6x/6 = 90/6

x = 15

We want to find LMN = 4x = 4*15 = 60

Hope this helps you. Thank you....

Using the reflection concept, it is found that the function g is given by:

[tex]g(x) = |6x| - 2[/tex]

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

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

Reflecting over the x-axis:

[tex]g(x) = f(-x)[/tex]

[tex]g(x) = |6(-x)| - 2[/tex]

[tex]g(x) = |-6x| - 2[/tex]

Modulus is an even function, thus [tex]|-6x| = |6x|[/tex], and:

[tex]g(x) = |6x| - 2[/tex]

For more on reflections over the y-axis, you can check https://brainly.com/question/17686579

Answer:

Step-by-step explanation:

Answer:

38

Step-by-step explanation:

Substitute the given values into the expression

(- 8)² × [tex]\frac{3}{4}[/tex] - 10

= 64 × [tex]\frac{3}{4}[/tex] - 10

= (16 × 3) - 10

= 48 - 10

= 38

Answer:

38

Step-by-step explanation:

When [tex]s^{2}t-10[/tex], s = -8 and t = 3/4

= [tex]-8^{2} \frac{3}{4} - 10[/tex]

= 64[tex]\frac{3}{4}[/tex] - 10

= (16 * 3) - 10

= 48 - 10

= 38

Answer:

w= -4

Step-by-step explanation:

If you like my answer than please mark me brainliest thanks

Answer:

w is -4

Step-by-step explanation:

[tex]4w = 2w - 8[/tex]

make w the subject:

[tex]4w - 2w = - 8 \\ 2w = - 8[/tex]

divide all sides by 2:

[tex] \frac{2w}{2} = \frac{ - 8}{2} \\ \\ w = - 4[/tex]

Answer:

27.25$

Step-by-step explanation:

1 dozen is 12.

327$ ÷ 12 is 27. 25

Answer:

$27.25.

Step-by-step explanation:

327/12

= $27.25

A sequence is the pattern or rule that guides the creation of a set. The most common sequence are the arithmetic and the geometric sequence.

The complete question illustrates that we build a sequence of number.

Let the n term of the sequence be [tex]T_n[/tex].

2 times 3 less than the previous number means:

[tex]T_n = T_{n-1} - 2 \times 3[/tex]

Where:

[tex]T_n \to[/tex] The current number

[tex]T_{n-1} \to[/tex] The previous number

Assume the first number starts with 0, the next numbers will be:

[tex]T_2 = 0 - 2 \times 3 = -6[/tex]

[tex]T_3 = -6 - 2 \times 3 = -12[/tex]

[tex]T_4 = -12 - 2 \times 3 = -18[/tex]

So, the sequence is:

0, -6, -12, -18.....

Assume the first number starts with 3, the next numbers will be:

[tex]T_2 = 3 - 2 \times 3 = -3[/tex]

[tex]T_3 = -3 - 2 \times 3 = -9[/tex]

[tex]T_4 = -9 - 2 \times 3 = -15[/tex]

So, the sequence is:

3, -3, -9, -15.....

Read more about sequence at:

https://brainly.com/question/3649143

Answer:

6

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

1/2•4•6 = (4•6)/2 = 24/2 = 12

Answer:

on the 18th day

Step-by-step explanation:

LCM for 6 and 9 is 18 :)

Answer:

Answer is $4145.6

Step-by-step explanation:

formular for compound interest:

[tex]{ \bf{A = P( \frac{r}{100} + 1) {}^{n} }}[/tex]

P is the principle, P = $4000

r is rate, r = 1.2%

n is period, n = 3 years

A is the accumulative amount.

substitute:

[tex]{ \sf{A = 4000( \frac{1.2}{100} + 1) {}^{3} }} \\ \\ { \sf{A = 4000 \times 1.0364}} \\ { \sf{A = 4145.6 \: dollars}}[/tex]

Answer:

[tex] \frac{3}{4} x + \frac{4}{7} y = \frac{5}{4} x - 1 \\ \frac{4}{7} y = \frac{5}{4} x - 1 - \frac{3}{4} x \\ \\ \frac{4}{7} y = \frac{5x - 4 - 3x}{4} \\ \frac{4}{7} y = \frac{2x - 4}{4} \\ \\ y = \frac{2x - 4}{4} \div \frac{4}{7} \\ y = \frac{2x - 4}{4} \times \frac{7}{4} \\ \\ y = \frac{14x - 28}{16} \\ \\ y = \frac{14x}{16} - \frac{28}{16} [/tex]

I hope I helped you^_^

Answer:

vdffdersewsesdfdresweseseseeerswesdsfd

Step-by-step explanation:

reterersesdvbvfdderereerereeeewwqwewereddddscdcvvbvfddewww

Answer:

0=0

1=12.50

2=25

3=37.50

4=

Step-by-step explanation:

Answer:

last choice y= 15 x + 10 is linear function

Answer:

85x-81

Step-by-step explanation:

random word to fill up word counter

Answer: The second number is 96.

Step-by-step explanation:

Let the second number be x

7/8 = 84/x

or, 7x = 672

or, x = 672/7

so, x = 96

Answer: The second number = 96

Step-by-step explanation:

Given information

Ratio = 7 : 8

First number = 84

Second number = x

Set proportion according to the given information

84 / x = 7 / 8

Cross multiply

7x = 84 × 8

7x = 672

Divide 7 on both sides

7x / 7 = 672 / 7

[tex]\boxed{x=96}[/tex]

Hope this helps!! :)

Please let me know if you have any questions

Answer:

-5

Step-by-step explanation:

− 11 − ( − 6)

= -11 + 6

= -5

Answer:

-5

Step-by-step explanation:

-11-(-6)

-11--6

NB: --=+

-11+6

-5

Therefore, the answer is -5.

Answer:

Cost = $1 + $0.41x

Step-by-step explanation

Step-by-step explanation:

1/2x + 10 = 1/4x + 54 Subtract 1/4x on both sides

1/4x + 10 = 54 Subtract 10 on both sides

1/4x = 44 Multiply both sides by 4

x = 176

9514 1404 393

Answer:

  x = 176

Step-by-step explanation:

Clear fractions by multiplying by 4.

  2x +40 = x +216

Subtract x+40.

  x = 176

Step-by-step explanation:

Find x-intercept (where line cuts the x axis) by substituting y=0.

Find y-intercept by substituting x=0.

Once you get those 2 intercepts, join them with a straight line.

Answer:

$20.81

Step-by-step explanation:

There are 52 weeks in a year.

Let's say you get paid x dollars per hour. Every week, you get paid x dollars for each hour you work. If you work 44 hours, you get paid x * 44 dollars a week. We get paid x * 44 dollars each week for a year, for 52 weeks. We can represent this as (x*44) * 52 = x * 2288. This is the amount you get paid each year. Setting that to your yearly salary of $47,603, we have

$47603 = x * 2288

divide both sides by 2288 to isolate x

x ≈ $20.81

Hi! I'm happy to help!

To solve this problem, we need to find out what part isn't already listed.

We know that The entire line (SQ) is 80, and the part of the line that isn't RS (QR) is 33.4. The rest of the line must be the difference between 80, and 33.4. To find the difference we use subtraction:

80-33.4

44.6

So, RS is 44.6

I hope this was helpful, keep learning! :D

The calculated length of the segment RS is 46.6

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

R is between Q and S.

QR = 33.4 and SQ = 80

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

QR + RS = QS

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

33.4 + RS = 80

So, we have

RS = 80- 33.4

Evaluate

RS = 46.6

Hence. the length of the segment RS is 46.6

Read more about side lengths at

https://brainly.com/question/29135476

#SPJ3

Answer:

litres bro

Step-by-step explanation:

yes the litres answer is correct