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klio [65]
3 years ago
14

Find the value of x (8x-1) (4x+7)

Mathematics
1 answer:
Helen [10]3 years ago
7 0

Answer:

The value of x = 7

Step-by-step explanation:

Given the right triangle

  • Right angle = 90°
  • α = (4x+7)°
  • β =  (8x-1)°

  • We know that the sum of angles of a triangle is 180°.

so

Right angle + α + β =  180°

90° + 4x+7 + 8x-1 = 180

Group like terms

4x+8x+90+7-1=180

Add similar elements: :4x+8x=12x

12x+90+7-1=180

12x+96=180

12x=84

Divide both sides by 12

\frac{12x}{12}=\frac{84}{12}

x = 7

Therefore, the value of x = 7

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Write the slope-intercept form of the equation of the line that has the same y-intercept as the black line shown and passes thro
Mazyrski [523]

Answer:

y = 0.5x + 2

Step-by-step explanation:

the y-intercept is 2, as shown in the graph

the slope is 0.5. this is because while the x-value goes up by 2, the y-value goes up by one (from 0, 2 to 2, 3).

using the slope formula of rise / run, you get 1/2, which is equal to 0.5

5 0
3 years ago
A person places $37700 in an investment account earning an annual rate of 5%,
lorasvet [3.4K]

Answer:

8,229,437 cents

Step-by-step explanation:

Using the compound interest formula;

A = P(1+r)^n

Given

Principal invested = $37700

rate r = 5% = 0.05

Time t = 16years

Substitute into the formula

A = 37700(1+0.05)^16

A  = 37700(1.05)^16

A = 37700(2.1829)

A = 82,294.37

Hence the amount of money, to the  nearest cent, in the account after 16 years is 8,229,437 cents

4 0
2 years ago
Use the description and table to graph the function, and determine the domain and range of f(x). Represent the domain and range
zmey [24]

The domain of the function is x > 0 and the range of the function is -∞ < f(x) < ∞

<h3>How to determine the domain?</h3>

The table represents a logarithmic function.

The domain represents the set of x values.

From the table, we can see that all the x values are positive values i.e. x > 0

Hence, the domain of the function is x > 0

<h3>How to determine the range?</h3>

From the table, the table outputs all zero, positive and negative numbers

This means that the range is the set of all real numbers.

Hence, the range of the function is -∞ < f(x) < ∞

Read more about domain and range at:

brainly.com/question/11787743

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7 0
2 years ago
The value of a three digit number if the tens digit is c, the hundreds digit is three less than the tens and the ones digit is 0
raketka [301]

Answer:690 580 470 360 250 140

Step-by-step explanation:

These digits are all numbers that the hundreds digit is three less than the tens digit, the ones digit is also zero

5 0
3 years ago
Find the slope.<br> (if it's a fraction with a whole number, write it as an improper fraction)
tiny-mole [99]

As you can see, every time x increases by 2, y decreases by 5.

So, we have

m=\dfrac{\Delta y}{\Delta x}=\dfrac{-5}{2}=-2\dfrac{1}{2}

6 0
3 years ago
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