X(squared) + 16x +60=0
Solving quadric equations by factorising

The required expression in terms of logarithm of prim numbers are;

[tex]log_4405=log_4(3^4\times 5)=log_43^3+log_45[/tex]

[tex]log_7(\frac{8}{81} )=log_7(\frac{2^3}{3^4} )=log_72^3-log_73^4[/tex]

Prime numbers are numbers that can only be divisible by 1 and itself.

From the given logarithmic expression, we will need to write 405, 8, and 81 as the product of prime numbers

405 = 3 * 3 * 3 * 3 * 5

405 = 3^4 * 5

8= 2* 2 * 2

8 = 2^3

81 = 3 * 3 * 3 * 3

81 = 3^4

The logarithm expression [tex]log_4405 \ and \ log_7(\frac{8}{81} )[/tex] can be expressed in terms of prime numbers as;

[tex]log_4405=log_4(3^4\times 5)=log_43^3+log_45[/tex]

Similarly;

[tex]log_7(\frac{8}{81} )=log_7(\frac{2^3}{3^4} )=log_72^3-log_73^4[/tex]

Learn more here: https://brainly.com/question/23004769

Answer:

it is 11 pages per hour

Step-by-step explanation:

so if you have 11 in a hour it should be 11 pages per hour

Answer:

simultaneous linear equation

Step-by-step explanation:

you can use two methods:

substitution method

elimination method

Answer:

Simple. since we know the weight per given length, we simply need to know the total length of all steel used. the perimeter is easy as it is given, 2×12 and 2×5 for a total perimeter of 24+10 or 34m. now the diagonals must be calculated...

since this is a right triangle, one could easily use a trig function to calculate, but to keep it simple pathag. theorum a2+b2=c2, where the 2 means squared. rearrange to c=sqrt(a2+b2), or 12 squared + 5 squared...giving 144+25=169. then take square rt of 169. this is length of one diagonal, remember to multiply by 2 since there are two diagonal pieces. add this to total perimeter of 34m above.

now that total length is known, simply multiply by weight/m for total weight

**remember units, as problems become complex keeping up with units can help u know if you are using right solving methods, like in heat transfer, energy equations, etc.

Answer:

B should be correct

Step-by-step explanation:

hope this helped

mark me brainliest

plus... this aint no 100 points... just such a scam...

i just did it cause i help ppl. i dont look at points...

Answer:

Your answer would have to be the last one ( [tex]a^{-7}[/tex]).

Step-by-step explanation:

Hope this helps!

Answer:

huh??

Step-by-step explanation:

Answer:

225 is a greatest perfect square that is a factor of 4725 .54 views

Answer:

Exponential Growth

Step-by-step explanation:

Answer:

D+M=132?

Sorry if this is not helpful. I tried my best

Here u go

Answer:

$374

Step-by-step explanation:

She makes $30 per hour, today she worked 5 hours =) 30.5=150 ($)

28% of $800 = 28/100 . 800 = 224 ($)

Total: 150+224 = 374 ($)

Answer:

a= 0.6

Step-by-step explanation:

This is the answer...........

Answer:

It is reciprocal.

A = 0.6

Step-by-step explanation:

Reciprocal” means “equality,”

To find the A. Use APE or Additive Property of Equality

-2. 7 = a - 3.3

-2.7 + 3.3 =  a

0. 6 = a

Answer:

i think seventy two......72

Answer:

f(g(x)) = 12x² - 36x + 28

Step-by-step explanation:

Substitute x = g(x) into f(x) , that is

f(g(x) )

= f(2x - 3)

= 3(2x - 3)² + 1 ← expand factor using FOIL

= 3(4x² - 12x + 9) + 1 ← distribute parenthesis by 3

= 12x² - 36x + 27 + 1 ← collect like terms

= 12x² - 36x + 28

Answer:

1. D (9/12)

2. B (1/4)

3. C (2^4x3x5)

Step-by-step explanation:

Hope this helps

Answer:

1) D 9/12

2) B 1/4

3) C 2^4 * 3 * 5

Step-by-step explanation:

1)

1/2 = 6/12

5/6 = 10/12

6/12 < 9/12 < 10/12, this is true.

2)

Although the visual representation doesn't give us exactly what the portion of each slice is, we can determine that the pizza is split into four equal slices. One of the slices is cut down even further, however, that doesn't change the fact that each of the other three pizza slices is 1/4. So the greatest pizza slice is equivalent to 1/4 of the pizza.

3)

Factor out 240:

240 = 120 x 2

120 = 60 x 2

60 = 30 x 2

30 = 15 x 2

15 = 5 x 3

2 x 2 x 2 x 2 x 3 x 5

Multiple the 2's together to get the following equation:

[tex]2^{4} * 3 * 5[/tex]

Answer: -2x+14

Step-by-step explanation: use the distributive property. -2 times x and -2 times -7. -2x+14

Answer: -2x+14

and have a bless day

Answer:

Can you explain what this is then I can help

Answer:

Step-by-step explanation:

Given a = -2.9

Simplify the fraction:

Now substitute the value of a:

Answer:

9 + 4 = $13, Ms. Brown has 10 dollars which is not enough to pay for both Cranberry and Granola.

Step-by-step explanation:

Alright, so Cranberry is 3.25 per pound, and Granola is 2.19 per pound.

(2.9 and 1.75 is how many pounds of both Cranberry and Granola she wants.)

2.9 × 3.25 = 9.4

1.75 × 2.19 = 3.8

So when rounding,  9.4 would be rounded to 9. Then 3.8 would be rounded to 4. So no, Ms. Brown doesn't have enough to pay for both. 9 + 4 = $13

Have a good day friend! :D

Answer:

Let us use the variable "x" to represent the cost per Ib for each mix.

Cranberry: x = 2.9

Granola: x = 1.75

Ms.Brown buys 1.75 pounds of granola and 2.9 pounds of cranberry. Since the cost per pounds represent x, we can write the follow:

[tex]2.19(1.75)+3.25(2.9)[/tex]

[tex]3.83 + 9.42 = 13. 25[/tex]

Round to nearest cent,

Total Cost= $13

Since it is given that Ms.Brown has a $10 budget, she won't have enough for the purchase. She'll need $3 more.

Answer:i need this pls

Step-by-step explanation:

Step-by-step explanation:

Pythagoras formula for the relation of the side lengths in a right-angled triangle :

c² = a² + b²

c is the Hypotenuse, the side opposite of the 90 degree angle.

a and b are the "legs".

3.

c² = 10² + 21² = 100 + 441 = 541

c = sqrt(541) = 23.2594066...in

so, none of the provided answers. are you sure you put the right numbers ? maybe the second leg is sqrt(21) instead of 21 ? because then it would be

c² = 10² + sqrt(21)² = 100 + 21 = 121

c = 11in

4.

10² = a² + 6²

100 = a² + 36

64 = a²

a = 8 m

5.

again, there must be something wrong. the height of the triangle cannot be longer than the legs of the triangle.

given the answer options of 5 - 9 cm it cannot be 32cm. maybe you mean 3.2 cm ?

also interesting that it says "attitudes" - plural. what do you mean by that ?

because there is something else missing. like how long are the segments of the Hypotenuse where the height (or altitude) is touching the Hypotenuse ?

with just the Hypotenuse length and the height length we cannot calculate the other parts of the triangle, because we can move the height freely along the Hypotenuse and draw fitting right-angled triangles on that "skeleton".

6.

similar triangles. that means the lengths of corresponding lines (like sides or heights) are all in relation with the same scaling factor.

so, the small triangle has its "height" side of 1 ft, and multiplying with the scaling factor would then give us the height of the flag pole.

what is the scaling factor ? we get that from the pair of corresponding sides we already know : the shadows.

going from the small to the large triangle we have to transform 4ft into 60ft.

what do I have to multiply 4 with to get 60 ?

4 × x = 60

x = 60/4 = 15

so, the flag pole is

15×1 = 15ft tall.

Answer:

The baker baked 375 loaves of bread that day.

Step-by-step explanation:

The baker baked a total of x loaves of bread.

240 loaves were sold by the end of the day.

The baker was then left with 9/25 of the number of loaves that were baked.

We get the equation:

x-240 = 9x/25

When you solve the equation, you will see that x=375.

Therefore, the baker baked 375 loaves of bread that day.

Answer:

there should be 14, 45 pound boxes

Step-by-step explanation:

1000-190= 810

810/45=14 boxes

Answer:

I KNOW FOR SURE

Step-by-step explanation:

if that's all the question is then I definitely know the answer ;)

if you forgot to write the rest then hmu haha

Answer:

Step-by-step explanation:

2)f(x) = 2x² +4x - 3    

a = 2 ; b = 4 ; c = -3

1) Put x = -1 in the equation

f(x) = 2*(-1)² + 4*(-1) -3 = 2 - 4 -3 = -5

Vertex = (-1,-5)

2) Upward

3) Minimum

4) axis of symmetry = -b/2a = -4/2*2=-4/4= -1

x = -1

5) domain: all real numbers  (-∞ ,∞)

Range : y ≥ -5 ; [-5 , ∞)

3) f(x) = 3x² - 6x + 4

Vertex : (1,1)

Opening : upward

Minimum

Axis of symmetry: x = 1

Domain: all real numbers

Range: y ≥ 1 ; [1, ∞)

4)f(x) = -x² - 2x - 3

a) Vertex:  f(x) = -(-1)² - 2*(-1) - 3 = -1 + 2 - 3 = -2

Vertex( -1,-2)

b) downward

c) Maximum

d) Axis of symmetry: x = 2/-2 = -1  

x = -1

e) Domain: all real numbers

Range: y ≤ -2 ; (-∞ , -2]

5)f(x) = 2(x -2)²

a) Vertex: (2, 0)

b) Opening: upward

c) Minimum

d) x = 2

e)Domain: all real numbers

Range: y ≥ 0 ; [0,∞)

y=0.2x

#0

[tex]\\ \sf\longmapsto y=0.2(0)=0[/tex]

#5

[tex]\\ \sf\longmapsto y=0.2(5)=1[/tex]

#10

[tex]\\ \sf\longmapsto y=0.2(10)=2[/tex]

#15

[tex]\\ \sf\longmapsto y=15(0.2)=3[/tex]

#20

[tex]\\ \sf\longmapsto y=0.2(20)=4[/tex]

Step-by-step explanation:

The given Eqⁿ is, [tex]{ \purple{ \sf{y = 0.2x}}}[/tex]

[tex]{ \star}[/tex]Put x = 0, then

[tex]{ \purple{ \sf{y = 0.2(0) = 0}}}[/tex]

[tex]{ \boxed{ \red{ \sf{(x, \: y )\: = (0,0)}}}}[/tex]

[tex]{ \star}[/tex]Put x = 5, then

[tex]{ \purple{ \sf{y = 0.2(5) = 1}}}[/tex]

[tex]{ \boxed{ \red{ \sf{(x, \: y) \: = (5,1)}}}}[/tex]

[tex]{ \star}[/tex]Put x = 10, then

[tex]{ \purple{ \sf{y = 0.2(10) = 2}}}[/tex]

[tex]{ \boxed{ \red{ \sf{(x ,\: y) \: = (10,2)}}}}[/tex]

[tex]{ \star}[/tex]Put x = 15, then

[tex]{ \purple{ \sf{y = 0.2(15) = 3}}}[/tex]

[tex]{ \boxed{ \red{ \sf{(x, \: y) \: = (15,3)}}}}[/tex]

[tex]{ \star}[/tex]Put x = 20, then

[tex]{ \purple{ \sf{y = 0.2(20) = 4}}}[/tex]

[tex]{ \boxed{ \red{ \sf{(x, \: y) \: = (20,4)}}}}[/tex]

Answer:

ok so you see the equation at the top... you are going to "plug in" the number in the "in" row to get the "out number

Step-by-step explanation:

example

in: 4

-2(-4)+1

8+1

9

so for the out row under -4 you would put 9

-2(-3)+1

6+1

7

so for the out row under 3 you would put 7

Answer:

...

Step-by-step explanation:

Answer:

88 sides

Step-by-step explanation:

The sum of the interior angles of a polygon is

sum = 180° (n - 2) ← n is the number of sides, then

180° (n - 2) = 15480° ( divide both sides by 180° )

n - 2 = 86 ( add 2 to both sides )

n = 88

The simplified polynomial expression that represents the area of the potato field is x^3 + 13x^2 + 54x + 72

From the diagram shown, we can see that the area of the potato field can be represented as a scaled factor of the area of the farm because they are both rectangular in nature.

Area of the potato field = length * width

Length = x^2 + 7x + 12

Width = x + 6

Substitute into the formula to get the required polynomial

Area of the potato field = (x^2 + 7x + 12)(x+6)

Area of the potato field = x^3+6x^2+7x^2+42x+12x+72

Area of the potato field = x^3 + 13x^2 + 54x + 72

Hence the simplified polynomial expression that represents the area of the potato field is x^3 + 13x^2 + 54x + 72

Learn more on polynomial expression here: https://brainly.com/question/21534285

Answer:

Step-by-step explanation:

Look at the first elements of the four points:  {0, 3, 6, 6}.  The element 6 appears twice and is associated with two different second elements:  {8, 12}.  That tells us immediately that this is not a function.

Answer:

-4.2

Step-by-step explanation:

First me put a and b in

2x12

24

(24 - 3) = 21

b: -20

-20 divided by 4 = -5

21 divided by -5

Answer= -4.2