7x2-6x=-7
Solve using quadratic formula :)

Explanation:

This is after using the nCr combination formula

[tex]_n C _r = \frac{n!}{r!*(n-r)!}[/tex]

where in this case n = 7 and r = 4. Note how n-r = 7-4 = 3.

We use nCr instead of nPr because the order of the toppings doesn't matter.

Answer:

The two numbers are 157 and 13

Step-by-step explanation:

Let x and y be the two numbers

x+y = 170

x-y =144

Add the two equations together

x+y = 170

x-y =144

-------------------

2x= 314

Divide by 2

2x/2 = 314/2

x =157

Now find y

x+y = 170

157+y = 170

y = 170-157

y =13

Answer:

the answer is B

Step-by-step explanation:

smort :)

Answer:

bbbbbbb

Step-by-step explanation:

Answer:

x ^2 y √ 3 y

Step-by-step explanation:

Simplify the radical by breaking the radicand up into a product of known factors, assuming positive real numbers.

Answer: keith

Step-by-step explanation:

The system of equations to represent the number of pages read per day by Keith and Tameka, using d for days and p for pages are,

p = 6d

p = 5d + 15

Since we know that,

A system of equations is the set of equations in which the finite set of equations is present for which the common solution is sought.

Two students are reading a book.  Keith reads 6 pages a day.

The equation for Keith, where d for days and p for pages can be given as,

p = 6xd

p = 6d

Tameka reads 5 pages a day, but he starts sooner and has already read 15 pages. The equation for Tameka, where d for days and p for pages, can be given as,

p = 5xd + 15

p = 5d + 15

Hence, the system of equations to represent the number of pages read per day by Keith and Tameka, using d for days and p for pages are,

p = 6d

p = 5d + 15

Learn more about the system of equations here;

brainly.com/question/13729904

#SPJ2

Answer:

30/100

Step-by-step explanation:

30% as a fraction is 3/10; In simplest form is 30% = 30/100.

Answer:

Yes

Step-by-step explanation:

To check, the squared values of the two smaller lengths must equal the squared value of the biggest length (Pythagorean Theorem)

40² + 75² = 85²

1600 + 5625 = or ≠ 7225

7225 = 7225

It is equivalent so it is correct.

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

3:4

Step-by-step explanation:

That ratio would be 12:16, or 3:4.

The aspect ratio of a computer screen will be 4: 3.

A ratio is a collection of ordered integers a and b represented as a/b, with b never equaling zero. A proportionate expression is one in which two items are equal.

The computer screen measures 12 inches by 16 inches.

Then the aspect ratio will be given by the number 16 inches divided by 12 inches.

We know that the aspect ratio will be greater than 1. Then the aspect ratio will be

Aspect ratio = 16 / 9

Aspect ratio = 4/3

Aspect ratio = 4: 3

The aspect ratio of a computer screen will be 4: 3.

More about the ratio and the proportion link is given below.

https://brainly.com/question/14335762

#SPJ2

Answer:

b = - 1.09

Step-by-step explanation:

- 2.9 + b ÷ 0.1 = - 39.9

- 2.9 + b ÷ 0.1 × 0.1 = - 39.9 × 0.1

- 2.9 + b = - 3.99

- 2.9 + 2.9 + b = - 3.99 + 2.9

b = - 1.09

Answer:

Exact form

b=-37/10

Decimal form

b=-3.7

Mixed Number form

b+-3 7/10

Step-by-step explanation:

-2.9+b/1/10+-39.9

-2.9+10b+-39.9

10b=-39.9+2.9

10b=-37

b=-37/10

Answer:

5.19 Km

Step-by-step explanation:

According To the Question,

Suppose he Runs Xkm before swimming to minimize the time it takes to reach the island .

So, he should swim [tex]\sqrt{2^{2}+(6-X)^{2} } Km[/tex] .

Now The Total Time is t = [tex]\frac{X}{8} + \frac{\sqrt{2^{2}+(6-X)^{2} } }{3}[/tex] .

t = [tex]\frac{X}{8} + \frac{\sqrt{X^{2}-12X+40 } }{3}[/tex]

[tex]\frac{dt}{dX}=1/8 + 1/3 * 1/2 * \frac{2X-12}{\sqrt{X^{2}-12X+40 } }[/tex]

[tex]\frac{dt}{dX}=1/8 + \frac{1}{3} * \frac{X-6}{\sqrt{X^{2}-12X+40 } }[/tex]

Now Put [tex]\frac{dt}{dX} = 0[/tex] , we get

[tex]1/8 + \frac{1}{3} * \frac{X-6}{\sqrt{X^{2}-12X+40 } } = 0[/tex]

[tex]\frac{1}{3} * \frac{X-6}{\sqrt{X^{2}-12X+40 } } = - \frac{1}{8}[/tex]

8(X-6)= -3 × [tex]{\sqrt{X^{2}-12X+40 }[/tex]

square on both side,We get

64(X²-12X+36) = 9X² - 108X +360

55X² -660X + 1944 = 0

Apply Shri Dharacharya formula, To Find The Value of 'X'

X =[ - (-660) ±[tex]\sqrt{(-660)^{2}-4*55*1944 }[/tex]  ] ÷ 2×55

X = (660±√7920) / 110

X= (660 - 89 ) / 110  ⇒ (Neglect '+' because it give 749/110 = 6.8 km Which is not possible )

X=571/110 ⇔ 5.19km he Should Run before swimming to minimize the time .

(For Diagram,Please Find In Attachment)

9514 1404 393

Answer:

  20 people

Step-by-step explanation:

Let n represent the number of people served. If each ate 1/5 of a pizza and there are 4 pizzas, we have ...

  (1/5)·n = 4

The solution can be found by multiplying both sides of the equation by 5.

  5(1/5)n = 5(4)

  n = 20

20 people could be served.

Answer:

Step-by-step explanation:

6ax +12by -9ay -8bx

=6ax -8bx -9ay +12by

=2x(3a -4b)-3y(3a -4b)

=(2x-3y)(3a-4b)

Answer:

what kind of math is that?

Step-by-step explanation:

Answer:

[tex]y = 12.25[/tex]

Step-by-step explanation:

Area of parallelogram = [tex]49 {cm}^{2} [/tex]

∴ Side of Parallelogram = [tex]s = \frac{perimeter}{4} [/tex]

[tex]∴ \: s = y[/tex]

[tex]y = \frac{49}{4} [/tex]

[tex]y = 12.25[/tex]

Answer:

6y

Step-by-step explanation:

The two figure are squares with the same area

side = √area = √y^2 = y (with y>0 because a length can‘t be negative)

perimeter = side * 6 = y * 6 = 6y

Answer:

1,3,4,6

Step-by-step explanation:

Answer:

The shape is translated four units left, and 2 units up, therefore the answer would be x=-4 and y=+2

Answer:

P= (1,-1)= P'= (-3,1)

T=(4,-1)=T'= (0,1)

R=(5,1)=R'= (1,3)

A= (5,3)=A'= (1,5)

So you would move the points 4 units across (left) and 2 units up (2,-4)

I would think your answer is right, it would be the second choice. Its just a little hard to determine because you would use the method of moving the point but to double check you would use one of the points, for example (1,-1) you would do 1+2-4 to see if you would get -3 and do the same with -1, -1+2-4. I hoped this helped!

Answer:

F=0.46N

Step-by-step explanation:

[tex]F[/tex]∝[tex]\frac{1}{d^{2}}[/tex],

[tex]F=\frac{k}{d^{2} } \\[/tex]

[tex]F=0.35N, d=8m\\[/tex]

[tex]0.35=\frac{k}{8^{2} }[/tex]

[tex]k=0.35\times 8^{2} \\\\k=22.4\\F=\frac{22.4}{d^{2} } \\d=7m, F=\frac{22.4}{7^{2} } =0.46N[/tex]

Answer:

15.65 units

Step-by-step explanation:

Given data

x1=-5

y1=-10

x2=2

y2=4

The expression for the distance between two points is

d=√((x_2-x_1)²+(y_2-y_1)²)

substitute

d=√((2-(-5))²+(4-(-10))²)

d=√(2+5)²+(4+10)²

d=√7²+14²

d=√49+196

d=√245

d=15.65 units

Hence the distance between the points is 15.65 units

Answer:

-3

Step-by-step explanation:

You plug the value of -3 into where the x is {-(-3)^2} + 6, resulting in -3.

Answer: 1.45 is a growth factor.

Step-by-step explanation:

Exponential growth function: [tex]y=Ab^x[/tex], where A = initial value , b = growth factor (if b>1)

Here, The expression [tex]6.7\cdot(1.45)^t[/tex] models the number of billions of genetic sequence bases available in the public database of the Whole Genome Shotgun project t years since 2002.

Here, b=1.45 >1

Thus,1.45 is a growth factor.

hope this helps please like and mark as brainliest

Answer:

x = 1

y = 1

Step-by-step explanation:

3x - 2y = 1

2x + 2y = 4

3x - 2y + 2x + 2y = 1 + 4

3x + 2x = 5

5x = 5

5x ÷ 5 = 5 ÷ 5

x = 1

2x + 2y = 4

2(1) + 2y = 4

2 + 2y = 4

2 - 2 + 2y = 4 - 2

2y = 2

2y ÷ 2 = 2 ÷ 2

y = 1

Check:

3x - 2y = 1

3(1) - 2(1) = 1

3 - 2 = 1

x and y being 1 works for the first equation.

2x + 2y = 4

2(1) + 2(1) = 4

2 + 2 = 4

x and y being one works for both equations.

Answer:

y = 31 when x = 5

Step-by-step explanation:

We are to evaluate (not solve) the function y = 6 x + 1 for x = 5.

Substituting 5 for x in y = 6x + 1, we get

                                     y = 6(5) + 1  = 31

y = 31 when x = 5

[tex] \quad\quad \quad\quad\tt{y = 6x + 1}[/tex]

[tex] \quad\quad \quad\quad\tt{y = 6(5) + 1}[/tex]

[tex] \quad\quad \quad\quad\tt{y = 30 + 1}[/tex]

[tex] \quad\quad \quad\quad \boxed{\tt{y = 31}}[/tex]

[tex]\quad\quad \quad\quad \boxed{\tt \color{green}{y = 31}}[/tex]

_______

#LetsStudy

Answer:

Remainder = (-4)

Step-by-step explanation:

f(x) = 5[tex]x^{5} + 1[/tex]

x + 1 = 0

x = -1

f(-1) = 5*[tex](-1)^{5} + 1[/tex]

      = 5 * (-1) + 1

      = -5 +1

      = -4

Answer:

22/7 ×5^2(area of circle is2πr^3

78.57

Answer:

Since the slopes of the two equations are equivalent, the basketballs' paths are parallel.

Step-by-step explanation:

Remember that:

So, let's find the slope of each equation.

The first basketball is modeled by:

[tex]\displaystyle 3x+4y=12[/tex]

We can convert this into slope-intercept form. Subtract 3x from both sides:

[tex]4y=-3x+12[/tex]

And divide both sides by four:

[tex]\displaystyle y=-\frac{3}{4}x+3[/tex]

So, the slope of the first basketball is -3/4.

The second basketball is modeled by:

[tex]-6x-8y=24[/tex]

Again, let's convert this into slope-intercept form. Add 6x to both sides:

[tex]-8y=6x+24[/tex]

And divide both sides by negative eight:

[tex]\displaystyle y=-\frac{3}{4}x-3[/tex]

So, the slope of the second basketball is also -3/4.

Since the slopes of the two equations are equivalent, the basketballs' paths are parallel.