MATHEMATICS MIDDLE SCHOOL

What value for the constant,h, in the equation shown below will result in an onfinite number of solutions? Equation: 6x+18=h(3x+9) Answer choices: a. -2 b.-3 c.2 d.3

Answers

Answer 1
Answer:

Answer:

c.2

Step-by-step explanation:

6x+18=h(3x+9)

To have an infinite number of solutions, the left and right side must be equal

Distribute the h

6x+18 = 3xh +9h

6x = 3xh

Divide by x

6x/x = 3xh/x

6 = 3h

Divide by 3

6/3 =3h/3

2 =h

Lets verify

18 = 9h

Divide by 9

18/9 = 9h/9

2 =h

h must be 2

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12 children stood in line at a movie theater. Theirages were the following: 7, 9, 11, 12, 11, 10, 13, 8,
7, 9, 11,8​

Answers

Answer:

A} 11

B) 10

C) The average would decrease most likely to 9.

Step-by-step explanation:

Given that the equation of a straight line is -4x 2y=16, what is the value of the gradient and of the y-intercept: Gradient: Y-intercept:

Answers

gradient is
if you have
ax+by=c
gradient (aka slope)=a/b

we have
-4x+2y=16
a=-4
b=2
gradient=-4/2=-2

y intercept is when the line crosses the y axis, also that is when x=0 so set x=0 and solve for y
-4(0)+2y=16
0+2y=16
2y=16
divide 2
x=8
y intercept=8



gradient=-2
y intercept=8 (y=8 aka point (0,8))

It has 1 more vertex than an octagon and 2 fewer sides than a hendecagon

Answers

The answer is a nonagon which has 9 sides which fits your description

Given: p: Two linear functions have different coefficients of x. q: The graphs of two functions intersect at exactly one point. Which statement is logically equivalent to q → p? If two linear functions have different coefficients of x, then the graphs of the two functions intersect at exactly one point. If two linear functions have the same coefficients of x, then the graphs of the two linear functions do not intersect at exactly one point. If the graphs of two functions do not intersect at exactly one point, then the two linear functions have the same coefficients of x. If the graphs of two functions intersect at exactly one point, then the two linear functions have the same coefficients of x.

Answers

If two linear functions have different coefficients of x, then the graphs of the two functions intersect at exactly one point.

What is a linear function?

A linear function is a function that represents a straight line on the coordinate plane. The general equation for a linear function is written as,

y = ax + b

where y is the output of the function, a is the coefficient of x, x is the input of the function, and b is a constant.

As we know about linear function, now, if the value of a is the same while the value of c is different then two of the linear functions are parallel, while if the two of the functions have the value of 'a' different then the slope of the two lines will be different, therefore, the line will be intersecting at a single point.

Hence, If two linear functions have different coefficients of x, then the graphs of the two functions intersect at exactly one point.

Learn more about Linear Function:

brainly.com/question/17058347

PLEASE HELP!!!!! "A country's population in 1991 was 70 million. In 1998 it was 74 million. Estimate the population in 2010 using the exponential growth formula. Round your answer to the nearest million."

Answers

Answer:

81 million

Step-by-step explanation:

A = Pe^rt

Let's break this equation down.

A is the total you will have.

P is the starting value.

R is the rate

T is the time.

Let's find the rate first.

74000000 = 70000000e^7r

Divide each side by 70mil

74000000/70000000 = e^7r

Then take the ln() of each side.

ln(74000000/70000000) = 7r

0.0556 = 7r

r = 0.0079

Now we can find how many people will be there in 2010.

A = 70,000,000e^(19 * 0.0079)

A = 81336530.2373

Now we round to the nearest million, leaving us with 81 million.

True or False: ​ ​a=6 is a solution to the inequality a≥6 ​

Answers

Answer:

true

Step-by-step explanation:

Answer:

true

Step-by-step explanation:
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