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4 years ago

What is the greatest integer that satisfies the inequality 3x-4≤8 ?

2 answers:

7 0

To figure this out, we need to solve for the inequality. A quick way is to plug in an answer choice for x.
For example, answer choice "A.)";
3(4) -4 <_ 8
We plugged in 4 for x.
Let's see if A.) is correct.
3(4) -4 <_ 8
12 - 4 <_ 8
8 <_ 8

This is the GREATEST possible integer, as the question asks for what the highest possible number would match the inequality.

Your correct answer choice is "A.)"

I hope this helps!

Masteriza [31]4 years ago

3 0

3x - 4 ≤ 8
3x ≤ 12
x ≤ 4

answer

A.4

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A submarine is only allowed to change its depth by rising toward the surface in 60-meters stages. it starts off at (-340) meters

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Answer:

2 stages

Step-by-step explanation:

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2 years ago

Which of the tables represents a function?

Damm [24]

Input is domain and output is co-domain.
An expression is said to be a function if for every input, there is only one output. In table B, for every input, you get different outputs. Therefore, table B is a function.

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3 years ago

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The endpoints of are A(2, 2) and B(3, 8). is dilated by a scale factor of 3.5 with the origin as the center of dilation to give

goldfiish [28.3K]

Answer:

The given line segment whose end points are A(2,2) and B(3,8).

Distance AB is given by distance formula , which is

if we have to find distance between two points (a,b) and (p,q) is

= $\sqrt{(p-a)^2+(q-b)^2}$

AB= $\sqrt{(3-2)^2+(8-2)^2}=\sqrt{1+36}=\sqrt{37}$ = 6.08 (approx)

Line segment AB is dilated by a factor of 3.5 to get New line segment CD.

Coordinate of C = (3.5 ×2, 3.5×2)= (7,7)

Coordinate of D = (3.5×3, 3.5×8)=(10.5,28)

CD = AB × 3.5

CD = √37× 3.5

= 6.08 × 3.5

= 21.28 unit(approx)

2. Slope of line joining two points (p,q) and (a,b) is given by

m= $\frac{q-b}{p-a}$

m= $\frac{8-2}{3-2}=6$

As the two lines are coincident , so their slopes are equal.

Slope of line AB=Slope of line CD = 6

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3 years ago

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Write a polynomial function of minimum degree with real coefficients whose zeros include those listed. Write the polynomial in s

wolverine [178]

Answer:

x^4 - 14x^2 - 40x - 75.

Step-by-step explanation:

As complex roots exist in conjugate pairs the other zero is -1 - 2i.

So in factor form we have the polynomial function:

(x - 5)(x + 3)(x - (-1 + 2i))(x - (-1 - 2i)

= (x - 5)(x + 3)( x + 1 - 2i)(x +1 + 2i)

The first 2 factors = x^2 - 2x - 15 and

( x + 1 - 2i)(x +1 + 2i) = x^2 + x + 2ix + x + 1 + 2i - 2ix - 2i - 4 i^2

= x^2 + 2x + 1 + 4

= x^2 + 2x + 5.

So in standard form we have:

(x^2 - 2x - 15 )(x^2 + 2x + 5)

= x^4 + 2x^3 + 5x^2 - 2x^3 - 4x^2 - 10x - 15x^2 - 30x - 75

= x^4 - 14x^2 - 40x - 75.

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4 years ago

How do we do with this formula? Help me with A pls

Ugo [173]

Gradient is the slope, which is the letter m in the equation.

The point is written as (x1, y1) so replace x1 and y1 in the equation with the numbers in the given point.

A would be y - 1= 2(x-4)

B: y +5 = 5(x-2)

C: y-1= -3(x+1)

D: y -6 = 1/2(x-1)

E: y +1/4 = -2(x-3:4)

F: y+7 = -1/5(x+ 3)

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3 years ago

Read 2 more answers