Simplify (45-28) - |15-21| A) 11 B) 17 C) 23 D) 29

The graph below represents the function f.

OLEGan [10]

Answer: А.

The function f intersects the x-axis at two points, and the function g never intersects the x-axis.

Step-by-step explanation:

In the graph we can see f(x), first let's do some analysis of the graph.

First, f(x) is a quadratic equation: f(x) = a*x^2 + b*x + c.

The arms of the graph go up, so the leading coefficient of f(x) is positive.

The vertex of f(x) is near (-0.5, -2)

The roots are at x = -2 and x = 1. (intersects the x-axis at two points)

Now, we know that:

g(x) has a positive leading coefficient, and a vertex at (0, 3)

As the leading coefficient is positive, the arms go up, and the minimum value will be the value at the vertex, so the minimum value of g(x) is 3, when x = 0.

As the minimum value of y is 3, we can see that the graph never goes to the negative y-axis, so it never intersects the x-axis.

so:

f(x) intersects the x-axis at two points

g(x) does not intersect the x-axis.

The correct option is A.

6 0

3 years ago

What is 34 ÷ 18 ? Explain your reasoning.

enyata [817]

1.8 that’s my reason

4 0

2 years ago

Read 2 more answers

(2x^2+x+3)/(x-2)with remainder

Leni [432]

Answer:

2x+5 r. 13

Step-by-step explanation:

So using long division, you can solve for the quotient and the remainder.

Please look at the attached for the solution.

Step 1: need to make sure that you right the terms in descending order. (If there are missing terms in between, you need to fill them out with a zero so you won't have a problem with spacing)

Step 2: Divide the highest term in the dividend, by the highest term in the divisor.

Step 3: Multiply your result with the divisor and and write it below the dividend, aligning it with its matched term.

Step 4: Subtract and bring down the next term.

Repeat the steps until you cannot divide any further. If you have left-overs that is your remained.

3 0

2 years ago

Eight two-person teams are participating in a three-legged race. Find the number of orders in which all 8 teams can finish the r

PilotLPTM [1.2K]

16 i believe its 16 as the answer to this

5 0

3 years ago

The fraction of skilled workers is 4/9 , unskilled workers 1/10 supervisors 2/7 and the rest are managers if the total number of

Darina [25.2K]

This is all percentages so...
4/9 = 44%
2/7 = 29%
1/10 = 10%
Total = 83%
So 17% of 630 is left over which = 107

5 0

2 years ago

Read 2 more answers

Simplify (45-28) - |15-21| A) 11 B) 17 C) 23 D) 29​

Simplify (45-28) - |15-21| A) 11 B) 17 C) 23 D) 29