Compare 0.3 and 0.8 using >,=, or<. Draw a model or number line to support your solution

f(x)=(x+3)(x-4) and g(x)=1/3(x+3)(x-4). the graphs of each are shown here. Which graph represents which polynomial function? exp

zvonat [6]

This is about interpretation of quadratic equation graphs.

- The parabola that is continuous represents f(x) = (x+3)(x-4)

- The parabola that is a broken line represents g(x) = 1/3(x+3)(x-4)

- This is because calculating their y-intercept respectively corresponds with what is on the graph.

We are given;

a) f(x) = (x+3)(x-4)

Let us confirm the x-intercept.

x-intercept here is when y = 0.

Thus, at y = 0; x + 3 = 0 and x - 4 = 0

Thus, at y = 0; x = -3 and y = 4

Let's now find the y-intercept;

y-intercept occurs when x = 0

Thus; y - intercept = (0 + 3)(0 - 4)

y - intercept = -12

Looking at the graph given, the only one that has it's y-intercept as -12 is the graph that has a continuous line.

This means the other graph that has dashed line would represent the other polynomial g(x)=1/3(x + 3)(x - 4)

Read more at; brainly.in/question/18896888

4 0

2 years ago

What is the length of ST?

adell [148]

Hi there!

Since ST is a tangent to the circle, we can use the relationship: tangent squared = external secant segment x entire secant segment.

WORK:
(I will be using x in place of ST)
x^2 = 7(23 + 7)
x^2 = 7(30)
x^2 = 210
x = squareroot(210) or approximately 14.5 inches

Hope this helps!! :)

4 0

2 years ago

A baker purchased 10 lb of wheat flour and 13 lb of rye flour for a total cost of $17.40. A second purchase, at the same prices,

fiasKO [112]

wheat = $0.96 lb rye = $1.89 lb

12w + 15r = 3987 15w + 10r = 3330 r = (3330 - 15w)/10 12w + 15r = 3987 12w + 15((3330 - 15w)/10) = 3987 12w + (15/10)(3330 - 15w) = 3987 12w + 4995 - 22.5w = 3987 10.5w = 1008 w = 96 cents r = 189 cents.

Hope this helps mate

8 0

3 years ago

A student found a strong correlation between the age of people who run marathons and their marathon time. Can the student say th

DENIUS [597]

Elite marathon race times improved from 5 to ~20 years, remained linear between ~20 and ~35 years, and started to increase at the age of ~35 years in a curvilinear manner with increasing age in both women and men. The sex difference in elite marathon race time increased non-linearly and was lowest at the age of ~49 years.

7 0

2 years ago

I have 120 cm of framing material to make a picture frame, which will be most pleasing to the eye if its height is 2/3 of its wi

Ilia_Sergeevich [38]

The formula for perimeter is:

P = 2 h + 2 w

where P is perimeter = 120 cm, h is height, w is width

we are also given that: h = (2/3) w, therefore:

P = 2 (2/3) w + 2 w = 120

(4/3) w + 2 w = 120

w = 36 cm

Therefore l is:

l = (2/3) w = 24 cm

Hence the dimension should be 24cm by 36 cm

6 0

2 years ago