solve by factorising x2 + 8x + 15 = 0

Answer:

9600

Step-by-step explanation:

30% can also be written as 0.3 so 0.3×32000 is 9600. 9600 kilobytes have been downloaded so far

Answer:

Not the solution tp the system because the ordered pair should be true for both equations. However the last equation is not true.

Step-by-step explanation:

(-1,-2) is the solution of the system. x + y =-3 and 2x - y = -4*

x + y =-3 :

(-1)+ (-2) = -3

-1-2 =-2   -3=-3

2x - y = -4:

2(-1)-(-2)=-4

(-2) -(-2)= -4

0=-4

Coterminal angles are measured from the positive x-axis. The coterminal angle for angle 45° is (270°+45°).

Coterminal angles are angles that are made by the positive x-axis of the coordinate plane.

Given to us

θ = 45°

We know that coterminal angles are those angles that are measured from the positive x-axis of the coordinate plane.

In order to find the angle coterminal with a 45° angle, we will deduct θ from 360°, therefore we will measure the from positive x-axis but in the clockwise direction.

[tex]\theta _1 = 360^o - \theta\\\\\theta _1 = 360^o - 45^o\\\\\theta _1 = 315^o\\\\\theta _1= 270^o + 45^o[/tex]

Hence, the coterminal angle for angle 45° is (270°+45°).

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Answer:

c.45° + 270°

Step-by-step explanation:

Answer:

There is no way that 4/5 can equal a thing with 3 as a denominator

Step-by-step explanation:

4/5 is already simplified, but it does equal 8/10 or 12/15

A linear function is a straight line formed on a coordinate plane.

To classify an equation as a linear function:

If any of these two occurs in an equation, the line can form a curve in a line, which is a non-linear function. A non-linear function is a curved line formed on a coordinate plane.

Option A - y = x³ + 1:

Option B - 5x/6 = y - 4:

Option C - y = 8x²

Option D - y = 1/5x

Hence, Option B is correct.

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Answer:

4x-8u+10

Step-by-step explanation:

You take the -2 inside the brackets to remove the brackets. (parenthesis=brackets)

-2×-2x=4x

-2×+4u=-8u

-2×-5=10

4x-8u+10

Answer:

(a) Yes Yes No No

(b) Yes No No Yes

Step-by-step explanation:

(a) [tex]\frac{-9}{10}=-\frac{9}{10}[/tex]

[tex]\frac{9}{-10}=-\frac{9}{10}[/tex]

[tex]\frac{-9}{-10}=\frac{9}{10}[/tex]

[tex]\frac{9}{10}=\frac{9}{10}[/tex]

(b) [tex]\frac{-3}{8}=\frac{3}{-8}[/tex]

[tex]\frac{3}{8}=\frac{3}{8}[/tex]

[tex]\frac{-3}{-8}=\frac{3}{8}[/tex]

[tex]-\frac{3}{8}=\frac{3}{-8}[/tex]

Hi there!

The solution to this system of equations is the point where the graphs of the equations intersect.

That point only will make both equations true.

So, where do these graphs meet?

First, look at the x-coordinate. It's -6.

Now, look at the y-coordinate. It's -2.

Thus, the answer is

(-6, -2)

Hope it helps!

Ask me if you have any doubts.

Enjoy your day!

~Misty~

Answer:

yes

Step-by-step explanation:

no

Answer:

1.85 grams

Step-by-step explanation:

1 milligram is equal to 0.01 gram

so 1850 should be equal to 1.85 grams

Answer: 1.85 grams of potassium.

Step-by-step explanation: Since 1,000 milligrams is equal to 1 gram, you have to divide 1850 by 1000. The results will be 1.85.

3(7x + 1)

3 . 7x = 21x

3.1 = 3

3(7x + 1 ) = 21x + 3

The equivalent expression with the fewest symbols possible is 21x+ 3.

The distributive Property states that it is necessary to multiply each of the two numbers by the factor before performing the addition operation when a factor is multiplied by the sum or addition of two terms.

we have,

3 x (7x+ 1)

By Distributive property we know

a x( b+ c) = a x b + a xc

ax (b-c) = a x b - a x c

So, 3 (7x + 1 )

= 3 (7x)+ 3(1)

= 21x + 3

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Answer:

C

Step-by-step explanation:

1 + 0.02 means the 2% growth every month, power 12 means for 12 month, and power of 2 mean 2 years.

Answer:

114 books.

Step-by-step explanation:

I'm pretty sure what you have to do is just subtract 16 from 130. (130-16).  

When you do that you get 114 books.  (sorry for basically no explanation.)

Answer:

$76

Step-by-step explanation:

Regular price: $95

Discount %= 80%

What is 80% of 95

=) [tex]\frac{80}{100}[/tex]×[tex]\frac{95}{1}[/tex]=  76

So, $76 are discounted

Hope this helps!

Answer:

6 in

Step-by-step explanation:

The angle bisector divides the opposite side into segments that are proportional to the other 2 sides.

let the third side of the triangle be x , then

[tex]\frac{9}{x}[/tex] = [tex]\frac{6}{4}[/tex] ( cross- multiply )

6x = 36 ( divide both sides by 6 )

x = 6

The third side of the triangle is 6 in

Answer:

3500[tex]\pi[/tex] = 10995.57 in³ (nearest hundredth)

Step-by-step explanation:

area of a circle = [tex]\pi r^2[/tex]

⇒ area of a semicircle = [tex]\frac{1}{2}\pi r^2[/tex]

⇒ area of a quarter circle = [tex]\frac{1}{4}\pi r^2[/tex]

total area = 5 circles + 10 semicircles + 100 quarter circles

⇒ total area = [tex]5\pi r^2 +(10\times \frac{1}{2}\pi r^2)+(100 \times \frac{1}{4}\pi r^2)[/tex]

⇒ total area = [tex]35\pi r^2[/tex]

If r = 10 inches

⇒ total area = [tex]35\pi \times 10^2=3500\pi =10995.57 \ \textsf{in}^2 \ \textsf{(nearest tenth)}[/tex]

(fog)(3) = 22

Step-by-step explanation:

f(x + 3x - 5; g(x)=x²9(3)=3²=9

(fog)(3) = f(g(3)) = f(9)=3-9-5=27

-5-22 [Ans]

Number 1

________________

Supplementary - either of two angles whose sum is 180°.

Complementary - either of two angles whose sum is 90°.

________________

Since we know that supplementary angles are angles that add up to 180° we can make an equation

________________

[tex]65+x=180\\x=115[/tex]

________________

Number 2

Since we know that complementary angles are angles that add up to 90° we can make an equation

________________

[tex]65+x=90\\x=25[/tex]

________________

[tex]{\huge{\boxed{\mathfrak{Answer}}[/tex]

Answer:

Step-by-step explanation:

Take the six cantaloupes divide it by 32 pieces 6 divided by 32 is 0.1875

The amount of the cantaloupe in each portion will be;

⇒ 5.33

What is mean by Division method?

Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications.

For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.

Given that;

Six cantaloupes are cut into 32 equal portions for a catering event.

Now,

Since, Six cantaloupes are cut into 32 equal portions.

Hence,

In each portion, the amount of cantaloupe = 32 ÷ 6

                                                                   = 32 / 6

                                                                   = 5.33

Therefore,

The amount of the cantaloupe in each portion will be;

⇒ 5.33

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Logarithmic function is the inverse of the exponential function. The logarithmic function that is equivalent to 2⁵ = 32 is log₂32=5.

A log function is a way to find how much a number must be raised in order to get the desired number.

[tex]a^c =b[/tex]

can be written as

[tex]\rm{log_ab=c[/tex]

where a is the base to which the power is to be raised,

b is the desired number that we want when power is to be raised,

c is the power that must be raised to a to get b.

Given to us

2⁵ = 32

As we know that we can convert a number powered to another number therefore exponential function into a log function, thus,

[tex]2^5 = 32\\\\\rm log_2 32 = 5[/tex]

Hence, the logarithmic function that is equivalent to 2⁵ = 32 is log₂32=5.

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Step-by-step explanation:

with the introduction of fractions it is clear we are multiplying things to get the sequence.

that makes this a geometric sequence, meaning that every new term is created by multiplying the previous term by a certain constant number, the ratio r.

what do we have to multiply with the first term (6) to get -4 ?

6×r = -4

r = -4/6 = -2/3

to check we use the same factor with the second term and see, if we get the predefined third term :

-4 × -2/3 = 8/3

correct, perfect.

so,

a0 = 6

an = an-1 × -2/3 = a0 × (-2/3)^(n-1) = 6 × (-2/3)^(n-1)

for the sum of a finite number of terms of a geometric sequence the formula is :

Sn = a0×(r^n - 1) / (r - 1) if |r| > 1

Sn = a0×(1 - r^n) / (1 - r) if |r| < 1

Sn = a0×n if r = 1

in our case : |-2/3| = 2/3 < 1

S8 = 6×(1 - (-2/3)⁸) / (1 - (-2/3)) =

= 6×(1 - 256/6561) / (3/3 - -2/3) =

= 6×(6561/6561 - 256/6561) / (5/3) =

= 6×(6305/6561) × (3/5) = 2×(6305/2187) × (3/5) =

= 2×(1261/2187) × 3 = 2×(1261/729) =

= 2522/729 = 3.459533608...

≈ 3.46

Answer:

11. 130°, obtuse angle

12. 40°, acute angle

13. 90°, right angle

14. 110°, obtuse angle

15. same as 14, I guess?

Step-by-step explanation:

questions 11, 14, 15 - an obtuse angle is an angle greater than 90° but less than 180°

question 12 - an acute angle is an angle that is less than 90°

question 13 - a right angle is exactly 90°

in question 14 the angle starts at 30° and ends at 140° so you subtract 30 from 140

hope this helps :)

Answer:

see below

Step-by-step explanation:

1. At least 2 points create a line
2. At least 3 points determine a plane
3. The intersection of two distinct planes is a line

3. The intersection of 2 coplanar lines is a point
5. A Plane can contain a line and a point not on the line

Answer:

190 pages

Step-by-step explanation:

To solve the # of pages he would read in 5 hours, let's first find the number of pages he reads in one hour.

Next, we multiply 38 by 5.

Therefore, the answer is 190 pages.

Answer:

190 pages

Step-by-step explanation:

Given the following question:

Erin read 76 pages in 2 hours...
How many pages would he have read in 5 hours?

In order to find the answer, we divide the number of pages he read in two hours by two. To find the number of pages he reads in 1 hour, then just multiply that answer by five.

[tex]2h=76p[/tex]
[tex]4h=76+76=152p[/tex]
[tex]76\div2=38[/tex]
[tex]152+38=190[/tex]
[tex]5h=190p[/tex]

In five hours, Erin would have read "190 pages" of his book.

Hope this helps.

Answer: 20

Step-by-step explanation:

You do 40➗2 which you would get 20.

    Then you would round 20 to the nearest tenth, then you get 20.  

Because if the number on the left/right is between 0 and 4, the whole number stays the same.

Note: 0-4 stays the same   5-9 higher number.

    For example: Rounding 164 to the nearest tenth will become 160.

Answer:

1) Slope = -1, y-intercept = 3

2) Slope = 1, y-intercept = -3

3) Slope = -3, y-intercept = 1

4) Slope = 3, y-intercept = -1

Step-by-step explanation:

In order to identify slope and y-intercept, you must find where each variable hits each axis when the other is 0.

For example, to find the y intercept of y=2x-4, you would substitute 0 in for x and solve for y.

y = 2(0)-4  --> y = -4

Thus, the point is (0, -4) with slope of 2. (The slope can be found by identifying the number, m, in front of 'x' from the equation y = mx + b.

Answer:

A. y = 3x-1; slope is 3 and y-intercept is -1

B. -x+3 = y; slope is -1 and y-intercept is 3

C. x-3 = y; slope is 1 and y-intercept is -3

D. y = 1-3x; slope is -3 and y-intercept is 1

Step-by-step explanation: woof