find a factor of 6x^2+ 13x - 15​

Answer:

Simplify the expression.

8x² + 8

Answer:

8(x^2 +1)

Step-by-step explanation:

(x^2 + 3)^2 - (x^2 - 1)^2

(x^2 + 3 - (x^2-1)) • (x^2 + 3 + (x^2 - 1))

(x^2 + 3 - x^2 + 1) • (x^2 + 3 + (x^2 - 1)

(3 + 1) • (x^2 + 3 + x^2 - 1)

4(2x^2 + 1)

4 • 2(x^2 + 1)

8(x^2 +1)

Answer:

Yeah

Step-by-step explanation:

Answer:

w h a t

Step-by-step explanation:

ssssssssssssssssssssssssssssss

Answer:693.6

Step-by-step explanation:

102

6.8

8• 2 16

Answer:

Time = 500 seconds  or 8.333 minutes

Step-by-step explanation:

Time = Distance/Speed

Speed of light = 3 x 10^8 meters/second

Distance=1.5 X 10^11 meters

Time = 1.5 X 10^11 meters/3 x 10^8 meters/second

We solve using the scientific notation. When 8 is taken to the top it is subtracted from 11 ( the base 10 is the same -- laws of exponents)

Dividing 1.5  by 3 gives 0.5 .

Time = 1.5 X 10^(11- 8) meters/3 meters/second

Time = 0.5 X 10^3 seconds

Time = 500 seconds

Dividng seconds with 60 will give minutes

Time= 500/60 = 8.333 minutes

Answer:

The largest third side would be 26 meters.

Option B is correct.

Step-by-step explanation:

We are given two sides of triangle 12 meters and 16 meters.

We need to find What is the largest the third side can be?

We know that the length of third side should be less than the sum of two sides of triangle

third side < length of first side + length of second side

third side < 12+16

third side < 28

So, the length of third side should be less than 28

We need to find the largest the length of third side can be: from options 22, 24 and 26. We would not consider 28 because length should be less than 28.

So, the largest third side would be 26 meters.

Option B is correct.

Answer:

Step-by-step explanation:

y + 4 = 14(x - 12)

y + 4 = 14x - 168

y = 14x - 168 - 4

y = 14x - 172

Answer:

d = 4

Step-by-step explanation:

[tex]4d+2d−4d+4=3d

[tex]4d+2d−4d+4=3d[/tex]

[tex]4d+2d+−4d+4=3d[/tex]

(4d+2d+−4d)+(4)=

d+4=3d[/tex]

(2d+4=3d)[/tex]

[tex]2d+4−3d=3d−3d[/tex]

[tex] - d + 4 = 0[/tex]

[tex]−d+4−4=0−4[/tex]

[tex] - d = - 4 [/tex]

[tex] \frac{ - d}{ - 1} = \frac{ - 4}{ - 1} [/tex]

Answer:

hello

Step-by-step explanation:

Answer:

The 1st, 2nd and 5th options are correct.

Step-by-step explanation:

The equation of a line can be written in the form of y=mx+c, where m is the gradient and c is the y-intercept.

①Rewrite the given equation into the form of y=mx+c to find the gradient.

[tex]- \frac{5}{3} x = \frac{1}{4} y - 8 \\ \frac{1}{4} y = - \frac{5}{3} x + 8 \\ y = - \frac{20}{3} x + 32[/tex]

Thus, the gradient of the given equation is [tex] - \frac{20}{3} [/tex].

② Find gradient of unknown line.

The product of the gradients of perpendicular lines is -1.

Let m be the gradient of the unknown line.

[tex]- \frac{20}{3} m = - 1 \\ m = - 1 \div ( - \frac{20}{3} ) \\ m = - 1 \times ( - \frac{3}{20} ) \\ m = \frac{3}{20} [/tex]

③Substitute the value of m into the equation.

[tex]y = \frac{3}{20} x + c[/tex]

④ Find the value of c by substituting a pair of coordinates.

When x= -7, y= 3,

[tex]3 = \frac{3}{20} ( - 7) + c \\ 3 = - \frac{21}{20} + c \\ c = 3 + \frac{21}{20} \\ c = 4 \frac{1}{20}[/tex]

Thus, the equation of the line is [tex]y = \frac{3}{20} x + 4 \frac{1}{20} [/tex].

Thus, the 4th option is incorrect.

Writing c as an improper fraction,

[tex]y = \frac{3}{20}x + \frac{81}{20} [/tex]

Thus, the 1st option is correct.

-3 from both sides of the equation:

[tex]y - 3 = \frac{3}{20} x + \frac{21}{20} [/tex]

Factorise 3/20 out of the right hand side:

[tex]y - 3 = \frac{3}{20} (x + 7)[/tex]

Thus, the 2nd option is correct.

The 3rd option is incorrect as factorising -20/3 out would leave us with -0.0225 as the coefficient of x.

Let's look at the 5th option.

[tex]y = \frac{3}{20} x + 4 \frac{1}{20} [/tex]

×20 on both sides:

[tex]20y = 3x + 81[/tex]

-20y on both sides:

[tex]3x - 20y + 81 = 0[/tex]

-81 on both sides:

[tex]3x - 20y = - 81[/tex]

Thus, the 5th option is also correct.

Answer:

C

Step-by-step explanation:

given:

m= -2 and (3, -1)

point-slope form: y-y1= m(x-x1)

y - (-1) = -2(x-3)

y + 1 = -2(x-3)

Answer:

C.

Step-by-step explanation:

A.) y - 1 = -2(x - 3)

y - 1 = -2x + 6

y = -2x + 6 + 1

y = -2x + 7

B.) y - 1 = -2(x + 3)

y - 1 = -2x - 6

y = -2x - 6 + 1

y = -2x - 5

C.) y + 1 = -2(x - 3)

y + 1 = -2x + 6

y = -2x + 6 - 1

y = -2x + 5

D.) y + 1 = -2(x + 3)

y + 1 = -2x - 6

y = -2x - 6 - 1

y = -2x - 7

Answer:

120 > x

Step-by-step explanation:

multiply -4 on both sides, -30 * -4 = 120

since you multiplied by a negative you change the sign

<3

Answer:

X<120

Step-by-step explanation:

Answer:

-8

Step-by-step explanation:

Apply slope/gradient formula: (12 - 36)/(11 - 8) = -24/3 = -8

This is a question on coordinate geometry. If you wish to venture further into it/understand this topic better, you may want to follow my Instagram account (learntionary), I have already posted the slope formula which you may want to save it for future reference and I'll also post some of my own notes on certain topics and also some tips that may be useful to you :)

Answer:

20

Step-by-step explanation:

Hello!

[tex]\large\boxed{x = 2}[/tex]

Set the two equations equal to each other to solve:

y = -4x + 11

y = 1/2x + 2

-4x + 11 = 1/2x + 2

Add 4x to both sides:

-4x + 4x + 11 = 1/2x + 2 **Convert 4x into 8/2x***

11 = 9/2x + 2

Subtract 2 from both sides:

11 - 2 = 9/2x + 2 - 2

9 = 9/2x

Divide both sides by 9/2:

9 * (2/9) = 9/2x * (2/9)

x = 2.

Step-by-step explanation:

sin90 = sinx

19 17

sin x=0.8947

x=63.47°

Answer:

                   y=4x-3

Step-by-step explanation:

Answer:

yyyy

Step-by-step explanation:

Answer:72

Step-by-step explanation:

115+115=230

230-158=72

If you add the 115 a month that she earns from babysitting, then add both the months pay together, than subtract 158(cost of the bicycle) by the total pay, you should get 72$

Answer:  D. $72

Step-by-step explanation:

If she earns $115 a month and June and July is a combination of two months then we will have to find the amount she earn toegther in June and July by multiplying 2 by $115.

2(115) = 230

She earned $230 in those months, and if the bicycle cost $158 , then we will have to subtract $158 from $230 to find her remaining amount.

$230 - $158 = $72  

Answer: The answer would be 7.03

Step-by-step explanation: cause you gotta get the 28 in there i hope im right

Answer:

15 quarters

Step-by-step explanation:

Assuming q = quarters and d = dimes...

First, set up the equations. q + d = 28 since we have 28 coins, and the latter is because a quarter is worth $0.25 and a dime is worth $0.1 - totaling $5.05.

q + d = 28

.25q + .10d = 5.05

Try to get one of the variables equal to the equation above. In this case, I tried to get the "q" variables equal to each other.

q + d = 28

4(.25q + .10d) = 4(5.05)

After this, you "subtract" the two equations from each other. Remember that d = 1d, and 1 - .4 = .6

q + d = 28

q + .4d = 20.20

Divide both sides by .6 to get d by itself.

.6d = 7.8

There are 13 dimes.

d = 13

Subtract 13 from the total coins (28) to get the amount of quarters.

28 - 13 = 15

13 dimes, 15 quarters. Hope this helped!

Answer:

a.  For the first lake;

c = (m·t - 0.005·m·t²)/100000

For the second tank, we have;

c = m·t/200 - m·t²/80000

b. t ≈ 1.00505 hours

c. 200 hours

Step-by-step explanation:

The flow rate of water in and out of the lakes = 500 liters/hour

The volume of water in the first lake = 100 thousand liters

The volume of water in the second lake = 200 thousand liters

The mass of toxic substances that entered into the first lake =  500 kg

The concentration of toxic substance in the first lake = m₁/(100000)

Therefore, we have;

The quantity of fresh water supplied at t hours = 500 × t

The change

The change in the mass of the toxic substance with time is given as follows

dm/dt = (m - m/100000 × 500 × t)/100000

c = (m·t - 0.005·m·t²)/100000

For the second tank, we have;

c = m/100000 × 500 × t - (m/100000 × 500 × t)/200000 × 500 × t

Using an online tool, we have;

c = m·t/200 - m·t²/80000

b. When c < 0.001 kg per liter, we have m < 0.001 × 100000, which gives m < 100

Substituting gives;

0.001 = (100·t - 0.005·100·t²)/100000, solving with an online tool, gives;

t ≈ 1.00505 hours

c. For maximum concentration, we have;

c = m·t/200 - m·t²/80000

m/200000 = m·t/200 - m·t²/80000

1/200000 = t/200 - t²/80000

dc/dt = d(t/200 - t²/80000)/dt = 0

Solving with an online tool gives t = 200 hours

Answer:

[tex]y-18=-2(x+2)^2[/tex]

Step-by-step explanation:

Equation of the Quadratic Function

The vertex form of the quadratic function has the following equation:

[tex]y-k=a(x-h)^2[/tex]

Where (h, k) is the vertex of the parabola that results when plotting the function, and a is a coefficient different from zero.

It's been given the vertex of the parabola as (-2,18):

[tex]y-18=a(x+2)^2[/tex]

Now substitute the point (-5,0) and find the value of a:

[tex]0-18=a(-5+2)^2[/tex]

Operating:

[tex]-18=a(-3)^2[/tex]

[tex]-18=9a[/tex]

Solving for a:

[tex]a = -18 / 9[/tex]

a = -2

Thus, the equation of the quadratic function is:

[tex]\mathbf{y-18=-2(x+2)^2}[/tex]

Answer:

6

Step-by-step explanation:

i am 96% sure it is 6

i might be wrong tho so i would wait for another answer ._.

Answer:

Its 6 and give the other guy his brain he deserves it

Step-by-step explanation:

Answer:

7 students

Step-by-step explanation:

Venn Diagram:

15hockey and 30 basket ball.

45 in total:

45-38=7

so 7 students.

Check:

15:7:30

subtract 7 in middle

8:7:23

8+7+23=38

Correct !!!

Hope this helps plz hit the crown :D

Answer:

21.5

Step-by-step explanation:

Answer:

Malike can use the boat for 3 hours.

Step-by-step explanation:

$2.50 for renting the boat plus $1.50 per hour. 3 hours x $1.50 = $4.50 + the $2.50 = $7 flat

Malike can use the boat for 3 hours without spending more than $7.00

A statement of an order relationship-greater than, greater than or equal to, less than, less than or equal to- between two numbers or algebraic equations.

Now it is given that,

Fixed charge of boat = $2.50

Charge per hour = $1.50

Now let t be the total hours use by Malike.

Total charge in t hour = 1.50t

Total spending on boat = 2.50 + 1.50t

Since. She wants to spend not more than $7.00

⇒ 2.50 + 1.50t ≤ 7

Subtracting 2.5 both the side we get,

1.50t  ≤ 7 - 2.5

⇒  1.50t  ≤ 4.5

Dividing both the side by 1.5 we get,

t ≤ 3

this is the total hours she can use the boat without spending more than $7.00

Thus, Malike can use the boat for 3 hours without spending more than $7.00

To learn more about inequality :

https://brainly.com/question/13363104

#SPJ2

Answer:

Step-by-step explanation:

[tex]7a(3b - 2c + 4)\\\\\mathrm{Distribute\:parentheses}\\\\=7a\times \:3b+7a\left(-2c\right)+7a\times\:4\\\\\mathrm{Apply\:minus-plus\:rules}\\\\+\left(-a\right)=-a\\\\=7\times\:3ab-7\times\:2ac+7\times\:4a\\\\Simplify\\\\21ab-14ac+28a[/tex]

Answer:

the answer would be around 1.5 to two percent

Step-by-step explanation: