All categories

3 years ago

Solve for x in this equation. 7^3x-17 = 49^x

Mathematics

2 answers:

love history [14]3 years ago

4 0

Answer: x=17

Write in exponential form: 7^3x-17 = 7^2x
3x-17=2x
-2x -2x
————-
X=17

vlada-n [284]3 years ago

3 0

Answer:

X = 17

Step-by-step explanation:

If you created equivalent expressions with equal bases that should be the answer.

You might be interested in

Select "Rational" or "Irrational" to classify each number;

irga5000 [103]

A rational
B Irrational
C Irrational

~ThePirc

8 0

2 years ago

Read 2 more answers

The given line segment has a midpoint at (3, 1).

Katena32 [7]

Answer:

$y=\frac{1}{3}x$

Step-by-step explanation:

The given line segment has a midpoint at (3, 1) and goes through (2, 4), (3, 1), and (4, -2). We can use any two of the three points to calculate the equation of the line. Let us use the points (2, 4) and (4, -2)

Therefore the line goes through (2, 4) and (4, -2). The equation of a line passing through $(x_1,y_1)\ and\ (x_2,y_2)$ is:

$\frac{y-y_1}{x-x_1}=\frac{y_2-y_1}{x_2-x_1}$ .

Therefore the line passing through (2, 4) and (4, -2) has an equation:

$\frac{y-y_1}{x-x_1}=\frac{y_2-y_1}{x_2-x_1}\\\frac{y-4}{x-2}=\frac{-2-4}{4-2}\\\frac{y-4}{x-2}=\frac{-6}{2}\\y-4=x-2(-3)\\y-4=-3x+6\\y=-3x+10$

Comparing with the general equation of line: y = mx + c, the slope (m) = -3 and the intercept on the y axis (c) = 10

Two lines are said to be perpendicular if the product of their slope is -1. If the slope of line one is m1 and the slope of line 2 = m2, then the two lines are perpendicular if:

$m_1m_2=-1$ .

Therefore The slope (m2) of the perpendicular bisector of y = -3x + 10 is:

$m_1m_2=-1\\-3m_2=-1\\m_2=\frac{1}{3}$

Since it is the perpendicular bisector of the given line segment, it passes through the midpoint (3, 1). The equation of the perpendicular bisector is:

$\frac{y-y_1}{x-x_1}=m\\\frac{y-1}{x-3}=\frac{1}{3}\\ y-1= \frac{1}{3}(x-3)\\ y-1=\frac{1}{3}x-1\\y=\frac{1}{3}x$

the equation, in slope-intercept form, of the perpendicular bisector of the given line segment is $y=\frac{1}{3}x$

7 0

3 years ago

Read 2 more answers

Solve for x 14 x square+7x-6

irina [24]

Answer:

x=0.450765 or x=−0.950765

Step-by-step explanation:

14x² + 7x - 6

→ Find the product, sum and factors

Product = -6

Sum = 7

Factors = No factors

→ Since there are no factors utilise the quadratic formula

$\frac{-b+-\sqrt{b^{2}-4ac } }{2a}$

→ List the values of a, b and c

a = 14

b = 7

c= -6

→ Substitute into the formula

$\frac{-7+-\sqrt{7^{2}-4*14*-6} }{2*14}$

→ Simplify

x=0.450765 or x=−0.950765

8 0

3 years ago

Read 2 more answers

Which is smaller-21/35, 7/5

Paladinen [302]

Answer:

-21/35

Step-by-step explanation:

So, 7/5 is a postive number, since it doesn't have a negative - sign in front of it. On the other hand, -21/35 does. Knowing this, we can conclude that -21/35 is smaller than 7/5.

If you want another way of thinking about it, just guessing, what is 7/5? Well, 7 is bigger than 5, so it must be at least 1. On the other hand, with -21/35, the -21 doesnt look like its bigger than 35, so it must be smaller than 1.

Answer:

-21/35 is smaller than 7/5

Ti⊂k∫∈s ω∅∅p

3 0

3 years ago

Read 2 more answers

What equation models the data in the table if d = number of days and c = cost?

dedylja [7]

Answer:

c=3d

Step-by-step explanation:

What equation models the data in the table if d = number of days and c = cost? Days Cost 2 6 3 9 5 15 6 18

Answer: An equation is a statement used to show the relationship between variables and shows the equality between two expressions. We want to find the relationship between the number of days and the cost.

Given that:

Days Cost

2 6

3 9

5 15

6 18

Lets take the ratio of days to cost using the first row:

$\frac{d}{c}=\frac{2}{6}\\ \frac{d}{c}=\frac{1}{3}\\c=3d$

The relationship c = 3d is true for all values of days and cost

3 0

2 years ago