Which of the following is equivalent to the given equation 7x2 = 98x - 343
a
(x+4)(x-3)
(x-7)
b
(x-6)(x+7)
d

Answer:5

Step-by-step explanation: because i had this question before

Answer:

$1802.47; $1784.47; $1733.20; $2121.83; $2224.59

Step-by-step explanation:

Variable x = answer

Part 1:

1023.49 + 778.98 = x

$1802.47 = x

Part 2:

1023.49 + 778.98 - 18.00 = x

1802.47 - 18.00 = x

$1784.47 = x

Part 3:

1023.49 + 778.98 - 18.00 - 51.27 = x

1802.47 - 18.00 - 51.27 = x

1784.47 - 51.27 = x

$1733.20 = x

Part 4:

1023.49 + 778.98 - 18.00 - 51.27 + 388.63 = x

1802.47 - 18.00 - 51.27 + 388.63 = x

1784.47 - 51.27 + 388.63 = x

1733.20 + 388.63 = x

$2121.83 = x

Part 5:

1023.49 + 777.98 - 18.00 - 51.27 + 388.63 + 102.76 = x

1802.47 - 18.00 - 51.27 + 388.63 + 102.76 = x

1784.47 - 51.27 + 388.63 + 102.76 = x

1733.20 + 388.63 + 102.76 = x

2121.83 + 102.76 = x

$2224.59 = x

A simpler way to do this is by using the last number and adding or subtracting to that. I showed it this way to give you a better understanding.

Answer:

"If the game is a team sport, the game is field hockey"

Truth value → True

Step-by-step explanation:

The conditional statement is,

"If the game is field hockey, then the game is a team sport"

There are two statements,

Statement p → The game is a field hockey.

Statement q → Game is a team sport.

For the converse statement,

If p then q (q → p)

So the converse will be,

"If the game is a team sport, the game is field hockey"

Since, both the statements p and q are TRUE, truth value will be TRUE.

(Converse is false only when q is false and p is true)

Answer:

14mn-12m

Step-by-step explanation:

Answer:

Step-by-step explanation:

x - 4y = 4

-4y = -x + 4

y = 1/4x - 1

y + 1 = 1/4(x + 8)

y + 1 = 1/4x + 2

y = 1/4x + 1

Answer:

[tex]x=2[/tex]

Step-by-step explanation:

B is the midpoint of AC so AB = BC.

AB + BC = AC

AB + AB = AC

2(AB) = AC

[tex]2\left(3\left(3x-1\right)\right)=5\left(2x+2\right)[/tex]

Expand:

[tex]2\times3\left(3x-1\right)=5(2x+2)[/tex]

[tex]6\left(3x-1\right)=5(2x+2)[/tex]

[tex]6\times3x-6\times1=5\times2x+5\times2[/tex]

[tex]18x-6=10x+10[/tex]

Add 6 to both sides:

[tex]18x-6+6=10x+10+6[/tex]

[tex]18x=10x+16[/tex]

Subtract 10x from both sides:

[tex]18x-10x=10x+16-10x[/tex]

[tex]8x=16[/tex]

Divide both sides by 8:

[tex]\frac{8x}{8}=\frac{16}{8}[/tex]

[tex]x=2[/tex]

Answer:

[tex]x=2[/tex]

Step-by-step explanation:

First, we know that the entire segment adds up to 5(2x+2). In other words:

[tex]AB+BC=5(2x+2)[/tex]

Now, since B is the midpoint of AC, by the definition of midpoint, AB and BC are equivalent. So:

[tex]AB=BC[/tex]

Since we know that, let's substitute BC for AB in the first equation:

[tex]AB+BC=5(2x+2)\\[/tex]

This is equivalent to:

[tex]AB+AB=5(2x+2)[/tex]

Combine like terms:

[tex]2AB=5(2x+2)[/tex]

And since we know that AB is 3(3x-1), substitute:

[tex]2(3(3x-1))=5(2x+2)[/tex]

Now, solve for x.

Distribute the left side:

[tex]6(3x-1)=5(2x+2)[/tex]

Distribute both sides:

[tex]18x-6=10x+10[/tex]

Add 6 to both sides:

[tex]18x=10x+16[/tex]

Subtract 10x from both sides:

[tex]8x=16[/tex]

Divide both sides by 8:

[tex]x=2[/tex]

So, the value of x is 2.

And we're done!

Notes:

You didn't particularly state what you need to find. If you want to length of AB or BC, it would be:

[tex]AB=BC=3(3(2)-1)=15[/tex]

And the entire length AC is:

[tex]AC=2(15)=30[/tex]

Answer:

-20

Step-by-step explanation:

a2 + ( b-c)

rewrite the equation

2 * a + ( b - c )

a = -8

b = 17

c = 21

substitute in the given values

(-8) 2 + ( (17) - (21) )

simplify and solve

-16 + ( 17-21)

= -16 +  (-4)

= -16 -4

=-20

Answer: Another way of looking at this problem, is that Laura will "gain" 2 miles on Tony in 1 hour. Why? She is going 7 miles in 1 hour, while Tony is only going 5. 7-5 = 2.

However, Tony is only .5 miles ahead and the question asks how long will it take for her to catch up, not to overtake him or beat him in some race.

I would make a simple ratio here. If in 1 hour/she beats him by 2 miles, x hours/she beats him by .5 miles.  

Another way to write that is 1/2 = x/.5

If you solve the equation, you get (by cross-multiplication) 2x = .5, x = .5/2, x =1/4.

Now, we are dealing with hours, so since there are 60 minutes in one hour, multiple the value you obtain for x by 60 minutes (60*1/4) = 15 minutes.  

Therefore, it will take Laura 1/4 of an hour, or 15 minutes, in order to catch up with Tony

Step-by-step explanation:

Answer:

1 12th (1 over 12)

Step-by-step explanation:

If she had a whole cake it would be 1 6th (1 over 6) of the cake. To get the answer for this do fraction for the amount of food then multiply that by 1 as the numerator and the number of people as the denominator (1 over the # of people). Then the fraction you get as your answer from multiplying that is the fraction or answer to your question. Note this only works with these types of questions. I really hope this helps.

Answer:

d = [tex]2\sqrt{29}[/tex]

Step-by-step explanation:

[tex]d= \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\d= \sqrt{(0-4)^2+(0-10)^2}\\d= \sqrt{(-4)^2+(-10)^2}\\d= \sqrt{16+100}\\d= \sqrt{116}\\d=2 \sqrt{29}[/tex]

Answer:

[tex]\boxed {\tt 11.6 \ feet}[/tex]

Step-by-step explanation:

The area of a square can be found using the following formula.

[tex]A=s^2[/tex]

We know the area of the patio is 135 square feet. Substitute 135 ft² in for A.

[tex]135 \ ft^2=s^2[/tex]

We want to find the side length. We must isolate the variable, [tex]s[/tex]. on one side of the equation.

s is being squared. The inverse of a square is a square root. Take the square root of both sides of the equation.

[tex]\sqrt{135 \ ft^2} =\sqrt{s^2}[/tex]

[tex]\sqrt{135 \ ft^2} =s[/tex]

[tex]11.61895 \ ft =s[/tex]

Round to the nearest tenth. The 1 in the hundredth place tells us to leave the 6 in the tenth place.

[tex]11.6 \ ft \approx s[/tex]

Each side of the patio is about 11.6 feet.

Step-by-step explanation:

hello just came here to get likes

Answer:

3(x+5)(x−5)

Step-by-step explanation:

Answer:

3(x - 5) x (x + 5)

            ^

  multiplication sign btw

Step-by-step explanation:

3(x^2 - 25)

3(x - 5) x (x+5)

hope it helped

brainliest is appreciated

Answer: Since the second differences are constant, there is a quadratic relationship between and .

Step-by-step explanation:

The angle "b" and the angle "d" are both the same angle measure. In other words, they are opposite angles that share the black dot in the middle. Angle "a" and angle "c" are both opposite angles which make them the same. They can also be called congruent angles. Even if they are facing a different direction, they are the same.

Therefore, the answer is 130 degrees

Best of Luck!

answer:

130 degrees

explanation:

the angles "a" & "c" are opposite (also called congruent) so they are the same.

Answer:

i would say closer to 15.1

Step-by-step explanation:

Answer:

She will need 1/6 of a cup of sugar to make 1/4 of the recipe.

Step-by-step explanation:

Write and solve an equation of ratios. On the left side we have the ratio of the fraction of the recipe and on the right that of the amount of sugar in each case:

1 recipe      2/3 cup

------------- = -------------

1/4 recipe         x

Cross multiplying gives us:

1x = (1/4)(2/3), or

x =2/12 or 1/6

She will need 1/6 of a up of sugar to make 1/4 of the recipe.

Answer:

a

Step-by-step explanation:

y-2/x+3= -4

-4x-12=y-2

y=-4x-12+2

y=4x-10

Answer:

[tex]9[/tex]

Step-by-step explanation:

So we have the expression:

[tex]\sqrt{6-25t}[/tex]

And we want to find the value of the expression when t is -3.

So, substitute -3 for t:

[tex]\sqrt{6-25(-3)}[/tex]

Multiply:

[tex]=\sqrt{6+75}[/tex]

Add:

[tex]=\sqrt{81}[/tex]

Evaluate:

[tex]=9[/tex]

So, our answer is 9.

And we're done!

Answer:

Rishi spent 3/4 of an hour for 2 days working on his science project . kyle spent 1/4 of an hour for 6 days working on his science project. who spent more time working on his science project.

Step-by-step explanation:

rishi and kyle spent the same amount of time.

6/4 and 6/4 hours

Answer:

E) |g-540|

Step-by-step explanation:

E) |g-540|

If it weighed a bit over, say 545, you would get |545-540|=|5|=5

If it weight a little under, say 535, you would get |535-540|=|-5|=5

Either way, it tells you how far away from 540 the package is in grams from the desired weight.

Answer:

45

Step-by-step explanation:

3rd from the left and over r considered 100s

Answer:

because that is equivalent to the not operator

Answer:

Step-by-step explanation:

The graph starts at x = - 3 and ends x = 2. For all x between -3 and 2, there points on the graph. Hence the domain, in interval notation, is written as

[-3 , 2]

We have closed circles at x = - 3 and x = 2 because -3 and 2 are included in the domain which is indicated by the closed brackets at x = - 3 and x = 2.

The range is the set of possible output values, which are shown on the y-axis.

This is why our graph goes from (-3,8) to (2,3)

Answer:

True, assuming you mean on any graph.

Step-by-step explanation:

Answer:

The answer is 0.5 since we are rounding to the tenths place

Answer:

0.47 or 0.468 whichever one is better

Step-by-step explanation:

just divide with a calculator