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djyliett [7]
1 year ago
10

What is the slope of the line created by this equation?Round your answer out to two decimal places.3x+5y=7

Mathematics
1 answer:
tia_tia [17]1 year ago
4 0

The given equation is

3x+5y=7

Consider the slope-intercept form.

y=mx+b

Rewriting the given equation in the slope-intercept form.

3x+5y=7

Subtracting 3x from both sides, we get

3x+5y-3x=7-3x

Dividing both sides by 5, we get

\frac{5y}{5}=\frac{7-3x}{5}y=-\frac{3}{5}x+\frac{7}{5}

y=-0.6x+1.4

Compared to the slope-intercept form, we get m=-0.6 and b=1.4.

Hence the slope m= -0.60.

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Find the x-intercepts of the parabola with vertex (-5,80) and y-intercept (0,-45). Write your answer in this form (x of 1 , y of
Ivan
A parabola is a quadratic function, and a quadratic can be expressed in vertex form, which is:

y=a(x-h)^2+k, where (h,k) is the vertex (absolute maximum or minimum point of the quadratic)

In this case we are given that (h,k) is (-5,80) so we have so far:

y=a(x--5)^2+80

y=a(x+5)^2+80, we are also told that it passes through the point (0,-45) so:

-45=a(0+5)^2+80

-45=25a+80  subtract 80 from both sides

-125=25a  divide both sides by 25

-5=a, so now we know the complete vertex form is:

y=-5(x+5)^2+80

The x-intercepts occur when y=0 so:

0=-5(x+5)^2+80  add 5(x+5)^2 to both sides

5(x+5)^2=80  divide both sides by 5

(x+5)^2=16  take the square root of both sides

x+5=±√16  which is

x+5=±4  subtract 5 from both sides

x=-5±4 so the x-intercepts are:

x=-1 and -9


7 0
3 years ago
What is the area of a 3.3in circle​
WITCHER [35]

Answer:

3.3in

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
The dimensions of a 7-cm by 2-cm rectangle are<br> multiplied by 3. How is the area affected?
Soloha48 [4]

Answer:

Original rectangle:  Since the area of a rectangle is the length * width, the area of this rectangle is 7 * 2 = 14 square cm.

New rectangle: The new dimensions of this are 7*3 = 21 cm by 2*3 = 6 cm.  To find the area, we multiply these two together.  21*6 = 126 square cm.

126 is 9 times greater than 14, so the area will be multiplied by 9.

Step-by-step explanation:

3 0
3 years ago
PLEASE HELP!!
aev [14]

Answer:

D. No, because P(A|B)=0.22 and the P(A) = 0.53 are not equal.

Step-by-step explanation:

Given:

Probability of doing yard work is, P(A)=53\%=0.53

Probability of raining, P(B)=68\%=0.68

Probability of doing yard work and it raining is, P(A\cap B)=15\%=0.15

Now, two events A and B are independent if,

P(A|B)=P(A);P(B|A)=P(B)

Conditional probability of event A given that B has occurred is given as:

P(A|B)=\frac{P(A\cap B}{P(B)}\\P(A|B)=\frac{0.15}{0.68}=0.22

So, P(A|B)=0.22\ and\ P(A)=0.53

Since, P(A|B)\ne P(A), A and B are not independent events.

8 0
3 years ago
How do I figure this out?
Lelechka [254]

Answer:

shoulda woulda coulda been B

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
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