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2 years ago

Sofia walks from her house to the park.

Mathematics

1 answer:

Olegator [25]2 years ago

5 0

Answer:

4:45

Step-by-step explanation:

What time after 40 minutes gives you 5:25?

If we go back 40 minutes from 5:25, Sofia left her house at 4:45

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(Marking Brainliest) What is the vertex form of the equation? y = x^2 - 4x + 7

AysviL [449]

Step-by-step explanation:

y = x² - 4x + 7

the general vertex form is

y = m(x-h)² + k

to bring the part "x² -4x" to an expression of (ax + b)² we need to add 4, as "x² - 4x + 4" = (x - 2)².

and since we add 4 there, we need to subtract 4 overall again to keep the value of the expression the same :

y = x² - 4x + 4 + 7 - 4 = (x - 2)² + 7 - 4 = (x - 2)² + 3

and so, that is the vertex form :

y = (x - 2)² + 3

4 0

2 years ago

I need help with problems 2, 3, 5, 6, 11 and 12. I'm having trouble with those thanks.

goldfiish [28.3K]

#2:

(-1)+(1)=0

(this is true)

3(-1)-3(1)=0

-3-3=0

(this is false, it equals -6)

Answer: No

#3:

3(1)-2(2)=1

3-4=1

(this is false, it equals -1)

Answer: No

#5:

2(2)+(-4)=0

4-4=0

(this is true)

-(2)+2(-4)=10

-2-8=10

(this is false, it equals 6)

Answer: No

#6:

3(5)-4(3)=3

15-12=3

(this is true)

4(5)-3(3)=11

20-9=11

(this is true)

Answer: Yes

#11:

(I tried translate the graphs to text since I can't add pictures)

Line A crosses through the points (-2,4) and (4,-2)

Line B crosses through the points (-2,0) and (2,4)

Those two lines should intersect at (0,2)

This system is classified as consistent independent

#12:

Line A crosses through the points (-2,5) and (5,-2)

Line B crosses through the points (-2,0) and (0,-2)

Those two lines should NOT intersect, they're parallel to each other

The system is classified as inconsistent

I hope you get a good grade on your work! Be sure to take a short break during your work and do something you enjoy :)

5 0

4 years ago

How to find the minimum value of an expression

miv72 [106K]

f(x)=9x²+24x+1
f(x)=(3x)²+ 2×3x× 4 + 1
= (3x)²+2×3x×4 +16 -16 +1
=. ( 3x+4)² -15. -------(1)
then (3x+4)² ≥0
least value of (3x+4)² is 0
putting in equation 1
= 0-15 =-15
- 15 is the least value

3 0

3 years ago

Tickets to the garden show cost $6.75 for adults and $3.75 for children. By rounding to the nearest whole dollar, find an estima

shtirl [24]

Answer:

Step-by-step explanation:

7 0

3 years ago

George had 1 sheet of paper.He cuts it into 6 inches by 5 inches,and 3 inches by 6 inches.What were the dimension and total area

7nadin3 [17]

Answer:

A. 8 inches by 6 inches.

B. $48\text{ inches}^{2}$ .

Step-by-step explanation:

We have been given that George had 1 sheet of paper. He cuts it into 6 inches by 5 inches and 3 inches by 6 inches.

We can see that two dimensions of small parts of paper sheet have one dimension same (6 inches), therefore, one dimension of original sheet of paper will be 6 inches.

We can figure out second dimension of original paper sheet by adding the lengths of dimension other than 6. So the second dimension will be 8 inches (5+3).

Therefore, the dimensions of our original sheet will be 8 inches by 6 inches.

Now let us figure out the total area of the original sheet of paper by multiplying 8 by 6.

$\text{The total area of the original sheet of paper}=8\text{ inches}\times 6\text{ inches}$

$\text{The total area of the original sheet of paper}=48\text{ inches}^{2}$

Therefore. the area of original sheet of paper will be $48\text{ inches}^{2}$ .

7 0

4 years ago