What is -20 and 3/4 as a decimal.

Solve for all values of x by factoring.<br> x^2 + 4x – 30 = -3x

vichka [17]

Answer:

${x}^{2} + 4x - 30 = - 3x \\{x}^{2} + 7x - 30 = 0 \\ {x}^{2} - 3x + 10x - 30 = 0 \\ x(x - 3) + 10(x - 3) = 0 \\ (x - 3)(x + 10) = 0 \\ \boxed{x = 3} \\ \boxed{x = - 10}$

<h3><em><u>x=3 or x=-10</u></em> is the right answer.</h3>

7 0

3 years ago

You invested $23,000 in two accounts paying 6% and 7% annual interest, respectively. If the total interest earned for the year w

Sedbober [7]

Answer:

$ 18,000 was invested at 7%, and $ 5,000 was invested at 6%.

Step-by-step explanation:

Given that I invested $ 23,000 in two accounts paying 6% and 7% annual interest, respectively, and the total interest earned for the year was $ 1,560, to determine how much was invested at each rate, the following calculation must be performed:

23,000 x 0.07 + 0 x 0.06 = 1,610

22,000 x 0.07 x 1,000 x 0.06 = 1,600

21,000 x 0.07 x 2,000 x 0.06 = 1,590

20,000 x 0.07 x 3,000 x 0.06 = 1,580

19,000 x 0.07 x 4,000 x 0.06 = 1,570

18,000 x 0.07 x 5,000 x 0.06 = 1,560

Thus, $ 18,000 was invested at 7%, and $ 5,000 was invested at 6%.

3 0

3 years ago

permutations or combinations. A group of seven actors are competing to earn one of three roles in a TV show: Michael, George, an

padilas [110]

7/3=2.3 but you can't have a desamal so it would be 2.

7 0

3 years ago

The chart shows the high temperature each day in Fairbanks, Alaska during the month of February 2009. What was the median high t

Montano1993 [528]

Answer:

Depends on the data

Step-by-step explanation:

You need to arrange all of the data from the chart in numerical order.

Then figure out which number/numbers are in the middle of the data line.

If it was just one number that is the median. If two numbers were in the middle add them together then divide by two, that is your median.

7 0

3 years ago

Read 2 more answers

What is the y-intercept of the line that is perpendicular to the line 7x+2y=14 and passes

Alex_Xolod [135]

Considering the definition of perpendicular line, the y-intercept of the line that is perpendicular to the line 7x+2y=14 and passes through the point (7,-6) is -8.

<h3>Linear equation</h3>

A linear equation o line can be expressed in the form y = mx + b

where

x and y are coordinates of a point.
m is the slope.
b is the ordinate to the origin and represents the coordinate of the point where the line crosses the y axis.

<h3>Perpendicular line</h3>

Perpendicular lines are lines that intersect at right angles or 90° angles. If you multiply the slopes of two perpendicular lines, you get –1.

<h3>Equation of perpendicular line in this case</h3>

In this case, the line is 7x+2y=14. Expressed in the form y = mx + b, you get:

2y= 14 - 7x

y= (-7x + 14)÷ 2

If you multiply the slopes of two perpendicular lines, you get –1. In this case, the line has a slope of -7/2. So:

-7/2× slope perpendicular line= -1

slope perpendicular line= (-1)÷ (-7/2)

<u><em>slope perpendicular line= 2/7</em></u>

So, the perpendicular line has a form of: y= 2/7x + b

The line passes through the point (7,-6). Replacing in the expression for perpendicular line:

-6= 2/7× (7) + b

-6= 2 + b

-6 -2 = b

<u><em>-8= b</em></u>, being b the y-intercept of the line.

Finally, the y-intercept of the line that is perpendicular to the line 7x+2y=14 and passes through the point (7,-6) is -8.

Learn more about perpendicular line:

brainly.com/question/7197064

brainly.com/question/11470863

brainly.com/question/7280013

#SPJ1

7 0

2 years ago