All categories

2 years ago

What value of b will cause the system to have an infinite number of solutions? y=6x-b -3x+1/2y=-3

Mathematics

1 answer:

Serhud [2]2 years ago

7 0

Answer:

b = 6

Step-by-step explanation:

solve the second equation for 'y':

-3x + 1/2y = -3

add 3x to each side to get:

1/2y = 3x - 3

multiply all terms by 2 to eliminate the denominator to get:

y = 6x - 6

now compare '6x-6' with '6x-b'

you want both expressions to be equal because then there are an infinite number of solutions:

b = 6

You might be interested in

Find the difference: x+1/x-1 minus x-8/x-1

PolarNik [594]

Answer: 9/x-1

Step-by-step explanation:

Sine you are subtracting,

x-x=o

1- -8 =9 since subtracting a negative is adding a positive.

So the answer is 9/x-1

6 0

3 years ago

Read 2 more answers

The coordinates of point A on a grid are (−1, 6). Point A is reflected across the y-axis to obtain point B. The coordinates of p

-Dominant- [34]

Answer:

(1,6)

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

Drag the tiles to list the sides of △MNO from shortest to longest.

sweet [91]

The smaller the angle subtended by a side, the smaller the length of the

side.

The correct responses are;

Question 1: The list of sides from shortest to longest are;

MO/Shortest MO/Medium and MO/Longest

a) Friday

b) 70 minutes

c) 40%

d) Yes, the sum of the mean number of minutes spent on aerobic training and the mean number of minutes spent on strength training is equal to the mean total number of minutes spent training.

From the given diagram, we have, the measure of the third angle, ∠O, is

found as follows;

∠O = 180° - 54° - 61° = 65°

Therefore, ∠O = The largest angle

We get;

The longest side is opposite the largest angle, which gives;

The shortest side is the side opposite ∠N (54°)= $\frac{}{MO}$

The next shortest side is the side opposite ∠M(61°) = $\frac{}{NO}$

The longest side is the side opposite ∠O(65°) = $\frac{}{MN}$

a) The time spent training on Tuesday = 60 + 10 = 70 minutes

The time spent training on Thursday = 50 + 30 = 80 minutes

The time spent training on Friday = 45 + 40 = 85 minutes

Therefore, the day the athlete spent the longest total amount of time training is on Friday

b) The time spent training on Monday = 10 + 20 = 30 minutes

The time spent training on Wednesday = 20 + 15 = 35 minutes

Therefore, we get;

30, 35, 70, 80, and 85

The median total number of minutes the athlete spent training each day = 70 minutes

c) The time spent strength training = 20 + 10 + 15 + 30 + 45 = 120

The total number of minutes the athlete spent training = 70 + 80 + 85 + 30 + 35 = 300

$The$ $percentage$ $spent$ $on$ $strength$ $training$ = $\frac{120}{300}$ × $100 =$ $\frac{40}$ %

d) The mean number of minutes spent on strength training is found as follows;

$Mean_{strength} =\frac{120}{5} =24$

The mean number of minutes spent on aerobic training is found as follows;

$Mean_{aerobic} =\frac{10+60+20+50+40}{5} =36$

$Mean_{strength} +Mean_{aerobic} =24+36=60$

The mean total number of minutes spent training, $Mean_{total}$ = $\frac{300}{5}$ = 60

Therefore;

$Mean_{strength}+Mean_{aerobic} = Mean_{total} \\$

Learn more here:

brainly.com/question/2962546

4 0

2 years ago

Consider the function f(x)=x3+3x2â51x+91. What is the remainder if f(x) is divided by (x+9)? Do not include (x+9) in your answer

makkiz [27]

Answer:

The remainder is 64

Step-by-step explanation:

Consider the function $f(x)=x^3+3x^2-51x+91$

Use synthetic division to divide by x+9

x+9=0, x=-9

divide the given f(x) by -9 using synthetic division

-9 1 3 -51 91

0 -9 54 -27

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

1 -6 3 64

The remainder is 64

5 0

3 years ago

Simplify (-56) = 7. o O A-8 O B. 9 O a -9 O D. 8

Sever21 [200]

Answer:

Step-by-step explanation:

o=-8

-56=7*(-8)=-56

3 0

2 years ago