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sveticcg [70]
3 years ago
12

Consider the functions: f(x) = x2 + 4x – 1 and g(x) = 2x + 5. See graphs alongside. a) Identify each curve b) Find the coordinat

es of points A, B,..., c) Confirm your calculations by using technology​

Mathematics
1 answer:
Nutka1998 [239]3 years ago
3 0

Step-by-step explanation:

try the option shown in the attachment.

Finally,

A(-2-\sqrt{3};0);

B(-1-\sqrt{7};3-2\sqrt{7});

C(-2+\sqrt{3};0);

D(-1+\sqrt{7};3+2\sqrt{7});

E(0;5);

F(-\frac{5}{2};0);

G(-2;-5).

in order to calculate the points E & F it is needed to solve the equations y=2*0+5 and 2x+5=0;

in order to calculate the vertex G it is needed to find x-coordinate:

x=(-4)/(2*1)=-2 and to substitute x=-2 into y=x²+4x-1 (y=-5).

You might be interested in
Hari's weekly allowance varies depending on the number of chores he does. He received $18 in allowance the week he did 10 chores
kifflom [539]

Answer:

y=1/2x+13

Step-by-step explanation:

The slope-intercept form is: y=mx+b, where m is the slope and b is the y-intercept of the line. First, you have to calculate the slope using the following formula:

m=y2-y1/x2-x1

You have two points:  (6, 16), (10,18) as the chores are the independent variable which is x, and the money is the dependent variable which is y.

Now, you can replace the values in the formula:

y2=18

y1=16

x2=10

x1=6

m=(18-16)/(10-6)

m=2/4

m=1/2

Now, you use the point-slope formula:

y-y1=m(x-x1)

You have to replace the value of the slope and one point and solve for y:

y-16=1/2(x-6)

y-16=1/2x-3

y=1/2x-3+16

y=1/2x+13

According to this, the answer is that the equation for his allowance in slope-intercept form is: y=1/2x+13.

7 0
3 years ago
Karen made 171 for 9 hours of work At the same rate how much would she make for 17 hours of work?
Kipish [7]

Answer:

$323

Step-by-step explanation:

Hello! First you would need to divide $171 by 9 to see how much money she makes an hour....

$171 / 9 = $19 an hour

Now that you know how much she makes an hour, multiply that amount by 17 to find out how much money she will make if she works for 17 hours.

$19 * 17 = $323

She will make $323 if she works for 17 hrs. :)

Hope this helps!

-Mikayla

5 0
3 years ago
Read 2 more answers
What is the answer to (c+3)-2c-(1-3c)=2
ANTONII [103]
C=3  is your answer !!!!!!!
7 0
3 years ago
Plot the x- and y-intercepts to graph the equation y=-x-5
Rainbow [258]
The y intercept is the y value determined when x = 0
y = -0 - 5
y = - 5
The y intercept is (0,-5)

The x intercept is where y = 0
0 = -x - 5
5= -x
x = - 5
The x intercept is (- 5, 0)

6 0
3 years ago
Read 2 more answers
3. Segment MN has endpoints at M(-6, -3) and N(9,7). Point Q lies on MN such that MQ:QN = 3:2.
Aleks04 [339]

Given:

Segment MN has endpoints at M(-6, -3) and N(9,7).

Point Q lies on MN such that MQ:QN = 3:2.

To find:

The coordinates of point Q.

Solution:

Section formula: If a point divides of line segment whose end points are (x_1,y_1) and (x_2,y_2) in m:n, then the coordinates of that points are:

Point=\left(\dfrac{mx_2+nx_1}{m+n},\dfrac{my_2+ny_1}{m+n}\right)

Segment MN has endpoints at M(-6, -3) and N(9,7) and Point Q lies on MN such that MQ:QN = 3:2. By using section formula, we get

Q=\left(\dfrac{3(9)+2(-6)}{3+2},\dfrac{3(7)+2(-3)}{3+2}\right)

Q=\left(\dfrac{27-12}{5},\dfrac{21-6}{5}\right)

Q=\left(\dfrac{15}{5},\dfrac{15}{5}\right)

Q=\left(3,3\right)

Therefore, the coordinates of point Q are (3,3).

8 0
3 years ago
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