How to write 800+10+4 in standard form

Answers

Answer 1

Answer: 814
800+10+4
Eight Hundred and FourTeen
(3 ways)

Answer 2

Answer: Their are 3 ways. 1. Eight hundred and fourteen 2. 814 3. 800 + 10 + 4

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What is the y-value of the vertex of the function f(x)=-(x-3)(x+11)?
0
-8

Answers

Answer:

Step-by-step explanation:

The given function is $f(x)=-(x-3)(x+11)$ .

We expand to get:

$f(x)=-x^2-8x+33$

We complete the square to obtain the vertex form as follows:

$f(x)=-(x^2+8x)+33$

$f(x)=-(x^2+8x+16)--16+33$

$f(x)=-(x^2+8x+16)+16+33$

$f(x)=-(x+4)^2+49$

This function is now of the form:

$f(x)=a(x-h)+k$ , where (h,k)=(-4,49) is the vertex.

The y-value of the vertex is therefore 49

John drew the line of best fit on the scatter plot shown.What is the equation of this line of best fit in slope-intercept form?

A. y=2x + 6/5

B. y= 5/6x +2

C. y=2x + 5

D. y=6/5x + 2

Answers

Answer=D

Slope-intercept form: y=mx+b (where m=slope and b=y-intercept)

a. y=2x+6/5

b. y=5/6x+2

c. y=2x+5

d. y=6/5x+2

Just by looking at the best fit line, we can see that the y-intercept is 2. There are only two options that have a y-intercept of 2; b and d. Now we can narrow the options.

b. y=5/6x+2

d. y=6/5x+2

Slope is rise over run, or y/x, using this method, lets see which option has the correct slope.

Starting from the y-intercept (0,2), if we go up 5 spaces and to the right 6 spaces, do we hit a point on the line? No, we don't, so b is incorrect.

Starting from the y-intercept (0,2), if we go up 6 spaces and to the right 5 spaces, do we hit a point on the line? We do!! Therefore, d is the correct equation.

Answer: The correct answer is D.

Step-by-step explanation:

Ann's car can travel 228 miles on 6 gallons of gas. a. Write an equation to represent the distance, y, in miles Ann's car can travel on x gallons of gas.

b. Ann's car used 7 gallons of gas during a trip. How far did Ann drive?

Answers

Answer:

a. $y=38x$ .

b. 266 miles.

Step-by-step explanation:

Let y represent distance in miles and x represent gallons of gas.

a. First of all, we will find mileage of Ann's car by dividing total distance traveled by total fuel consumed.

$\text{Mileage of Ann's car}=\frac{\text{228 miles}}{\text{6 gallons}}$

$\text{Mileage of Ann's car}=\frac{\text{38 miles}}{\text{ gallon}}$

Since Ann's can travels 38 miles per gallon, so distance covered by using x gallons on gas would be $38x$ .

Therefore, our required equation would be $y=38x$ .

b. To find distance covered by Ann's car using 7 gallons, we will substitute $x=7$ in the equation:

$y=38(7)$

$y=266$

Therefore, Ann's car will travel 266 miles in 7 gallons of gas.

Answer:

a. Since Ann's can travel 38 miles per gallon, so distance covered by using x gallons on gas would be 38x. Y=38x

b. Ann's car will travel 266 miles in 7 gallons of gas.

What is the greatest common factor of 96 and 144

Answers

$Greatest\ common\ factor\ is\ the\ highest\ number\ by\ witch\ 96\ and\ 144\ncan\ be\ divided\n\n96:2\n48:2\n24:2\n12:2\n6:2\n3:3\n\n144:2\n72:2\n36:2\n18:2\n9:3\n3:3\n\nGCF=2^4*3=16*3=48\n\nGreatest\ common\ factor\ of\ 96\ and\144 \ is\ equal\ to\ 48.$

Increase 120cm by 24%

Answers

$120\cdot24\%=120\cdot0.24=28.8\n\n120+28.8=\boxed{148.8}$

A fair attended by 755,082 pepole altogether. what is the number rounded to the nearest ten thousand

Answers

The number rounded to nearest ten thousands is 760,000

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