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USPshnik [31]
3 years ago
9

Consider the function f(x)=x^2+2x-8

Mathematics
1 answer:
sattari [20]3 years ago
8 0

Answer:

The answer to your question is below

Step-by-step explanation:

Data

function   f(x) = x² + 2x - 8

-See the graph below

1) x-intercepts

We observe in the graph that there are no x-intercepts.

2) y-intercepts

We observe in the graph that the y-intercept is (0, 8). Point A

3) axis of symmetry

The axis of symmetry is the line that divides the parabola into two equal parts. This line is x = -1 (blue line)

4) The vertex is the lowest point of the parabola, this point is (-1, 7)

Point B in the graph.

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How much would d dollars earn in one year at the rate of p percent compounded annually
Elenna [48]

Answer:

Step-by-step explanation:

Adapt the compound amount formula to this situation:

A = P(1 + r)^t becomes A = d(1 + p/100)^1, or just A = d(1 + p/100)

5 0
3 years ago
What is the equation of the line that is parallel to the line 5x 2y = 12 and passes through the point (−2, 4)? y = – five-halves
Oduvanchick [21]

Answer:

The answer is

y =  -  \frac{5}{2} x - 1

Step-by-step explanation:

If two equations are parallel it means that both their gradients are equal. We were given the equation:

5x +  2y = 12

in order to find the gradient of this equation that we are given we have to ensure that it is in its simplest form:

5x + 2y = 12 \\ 2y = 12 - 5x \\  \frac{2y}{2}  =  \frac{12}{2}  -  \frac{5}{2} x \\ y = 6  -  \frac{5}{2} x \: \\ or \: \\ y =   - \frac{5}{2} x + 6

Therefore the gradient of the parallel line with points (-2, 4) is also -5/2

y = mx + c \\ 4 =  - \frac{ 5}{2} ( - 2) + c \\ 4 =  \frac{10}{2}   + c \\ 4 = 5 + c \\ 4 - 5 = c \\

c =  - 1 \\ hence \: the \: equation \: for \: the \: \\  parallel \: line \: is \\  \: y =  -  \frac{5}{2} x  - 1

8 0
2 years ago
Solve for x, <br><br> x^2 -10x + 25 = 35
GuDViN [60]

Answer:

x = 2

Step-by-step explanation:

3 0
3 years ago
4 loads of stone weigh 2\3 ton find the weight of 1 load of stone
erastova [34]
4 load= 666. never ending 6
4/4 load= 666. never ending 6 / 4
1 load= 166. never ending 6
1 load = 167kg rounded
3 0
4 years ago
Read 2 more answers
Two sides of a triangle measure 10 cm and 15 cm. which of the following is long enough to be the third side?
eimsori [14]
In a Triangle, sum of two shorter sides must be longer than the longest side, so the only option which obeys the rule is 6 cm

In short, Your Answer would be: Option D

Hope this helps!
6 0
4 years ago
Read 2 more answers
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