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Black_prince [1.1K]
3 years ago
6

1. What is the solution set for -4x - 10 ≤ 2 ?

Mathematics
1 answer:
tresset_1 [31]3 years ago
5 0

Answer:

x≥−3

Step-by-step explanation:

−4x−10≤2

Step 1: Add 10 to both sides.

−4x−10+10≤2+10

−4x≤12

Step 2: Divide both sides by -4.

−4x−4≤12

−4

x≥−3

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The state where you live has a 6% sales tax. If you purchase a car for $9,800, what will you pay, including tax? (this is a two-
mestny [16]

Answer: $10,388

Step-by-step explanation:

The first step is to calculate the tax for the car:

9,800*0.06=588

The second step is to add the price of the car and the corresponding tax:

9,800+588=10,388

So, you will pay $10,388.

5 0
3 years ago
What is the sum of the polynomials?
lubasha [3.4K]
9x^3 - 8x^2 is the answer. to solve this you must distribute the sign across each parenthetical and then add the like terms (all cubed x variables added to cubed variables and all squared x variables added to squared variable)
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3 years ago
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Write two number so that the value of the digit 9 in the second number is 10 times the value of digit 9 in the first number ?
Elza [17]
That’s easy it’s 18 because the 9x9=18 and there’s a 10s digit
3 0
1 year ago
What are the x and y intercepts of f(x) = x2-x-12/x2+5x+6 and is there a hole? ​
stiv31 [10]

Answer:

There are no holes. The VAs are x=4 & x=-4  the HA is  x=2 the x intercepts are  (-3,0) & (3,0)  and the y intercept is (0,9/8).

Step-by-step explanation:

Given  f ( x ) =2 x ^2 − 18/x^2-16

find all asymptotes, holes and intercepts.

Factor the numerator and denominator.

f ( x ) =2 ( x ^2 − 9 )/( x + 4 ) ( x − 4 )

f ( x ) =2 ( x +3 ) ( x − 3 )/( x + 4 ) ( x − 4 )

A hole exists when the numerator and denominator contain the same factor (a factor "cancels out"). This function has no holes.

To find the vertical asymptote(s) (VA), find the values of  x

which make the denominator equal zero. The function is undefined at these values of  x

because you cannot divide by zero.

Set each factor of the denominator equal to zero and solve.

x + 4 = 0  and x − 4 = 0

x = − 4  and  x = 4

These are the VAs.

To find the horizontal asymptote(HA), compare the degree of the numerator and denominator. If the degrees are the same, the HA is the ratio of the leading coefficients.

For  f ( x) =2 x ^2 − 18/x^2-16

the degree in both numerator and denominator is  2

and the ratio of the leading coefficients is 2/1=1

The HA is  x = 2

The  x  intercept is the value at which the function (or "y") equals zero. If the numerator is zero, the function equals zero.

2 ( x + 3 ) ( x − 3 ) = 0

x + 3 = 0    x − 3 = 0

x = − 3   and  x = − 3

The  x  intercepts are  ( − 3 , 0 )  and  ( 3 , 0 ) .

The  y  intercepts are found by setting  x = 0 .

f ( 0 ) = 2 ( 0 ) ^2 − 18/( 0 )^2 − 16 = 9 /8

The  y  intercept is  ( 0 , 9/ 8 ) .

graph{(2x^2-18)/(x^2-16) [-10.04, 9.96, -3.56, 6.44]}

HOPE THIS HELPS YOU!!!!

        =)

4 0
3 years ago
How many times does the equation f(x)=2x^2+9x-5 intersect the x-axis
Komok [63]

Answer:

2

Step-by-step explanation:

f(x)=2x^2+9x-5

When we are find how many times it intersects the x axis, we are finding the zero's. Set the equation equal to zero

0=2x^2+9x-5

Factor the equation

0 = (2x+1) (x-5)

2*1

1*-5 = -5

2*-5 +1*1 = -9

This checks for the first last and middle terms so we factored correctly

Then using the zero product property

2x+1 = 0 and x-5 =0

2x = -1    x=5

x = -1/2  and x=5

This function crosses the x axis 2 times

8 0
3 years ago
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