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nikklg [1K]
3 years ago
14

Consider exponential function h. h(x) = 3x + 4

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

The function is always positive.

(0,5) is the y-intercept, since the graphed line never crosses the x axis, there is no x-intercept.

The function is positive and  greater than 4 for all values of x

Not sure what the actual choices are on a couple of the questions. The choices would help answering.

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In order for a class trip to be scheduled, at least 30 students must sign up. So far, 23 students have signed up. Write and solv
Grace [21]

Answer:

Step-by-step explanation:

30 ≤ 23 + x

7 ≤ x

3 0
3 years ago
Where do the graphs of the two functions below intersect?
olga nikolaevna [1]
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10=5x
2=x
So these functions intersect when x=2.
7 0
3 years ago
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The area of triangle formed by points of intersection of parabola y=a(x−1)(x−4) with the coordinate axes is 3. Find a if it is k
n200080 [17]

Answer:

The value of a will be  a=-\frac{1}{2}

Step-by-step explanation:

Start by graphing the parabola and  the three points of the triangle. These points are at intersections of y=a(x-1)(x-4) and the axes

so the y = 0 points are (1,0) and (4,0).

The x = 0 intersection is when y=a(-1)(-4) or (0,4a)

The base and height of this triangle are

The base would be the distance between the y=0 intersections and the height would be the y value of the other vertex.

Hence, base=3 units and height = 4a units. Thus, area can be calculated as

A = \frac{1}{2}\times b\times h =\frac{1}{2}\times 3\times 4a = 3

a=\frac{1}{2}

∵ the parabola opens downward therefore a will be negative.

hence,  a=-\frac{1}{2}

3 0
3 years ago
(3x+1)(x-2)+ax+b=3x^2+8x-5<br> Work out the values of a and b
Musya8 [376]

Answer:

a = 13, b = - 3

Step-by-step explanation:

Expand the left side and compare like terms on both sides

(3x + 1)(x - 2) ← expand using FOIL

= 3x² - 5x - 2

left side = 3x² - 5x - 2 + ax + b ← combine like terms

             = 3x² + x(a - 5) + b - 2

right side = 3x² + 8x - 5

For the 2 sides to be equal then

a - 5 = 8 ( add 5 to both sides )

a = 13

and

b - 2 = - 5 ( add 2 to both sides )

b = - 3

7 0
3 years ago
Which graph decreases crosses the y axis at (0, -7) and then remains constant
deff fn [24]

Answer:

make a line going slash down to -7 and then draw a horizontial line parrel to the x axis

Step-by-step explanation:

here is a link to model rebrand.ly/s3gep1k

8 0
3 years ago
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