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Answer:

(x-4)^2-9 where a=4 and b=9

Step-by-step explanation:

x^2-8x+5

x^2-8x+16-16+5

(x-4)^2-9, a=4 and b=9

Step-by-step explanation:

do like the picture I sent

Answer:

(2z-5)(2z-3)

if the "A" term in a quadratic Ax^2 + Bx + C is NOT a "1"

first check to see if there is a commpon factor of a,b,c that can be pulled out

for example 2x^2 + 4x + 6 you can pull

out a 2.... 2(x^2 + 2x +3)

if not you multiply the values a*c

in you case 4*15 which is 60

now you factor the 60

1*60

2*30

-1*-60

-2*-30

10*6

-10*-1

etc

when you find the combination that ADDS UP TO THE B TERM

you rewrite the B term using the factors you forud...

SO -16z becomes -10z - 6z

put it in the original problem

4z^2 -10z - 6z + 15

if you get this far , the GROUPS WILL ALWAYS WORK

pull out a 2z from "4z^2 -10z"

and pull out a -3 from "- 6z + 15"

and magically you will see that the "left over stuff" is the same

2z(2z-5) -3(2z-5)

pull out common item

(2z-5) (2z-3) ... all done

Step-by-step explanation:

multiple AC ... 15*4 = 60

factor 60  to end up with -16

-10 * -6 = 60

rewrite (factor by grouping)

4z^2 -10z - 6z + 15

find groups

2z(2z-5) -3(2z-5)

(2z-5)(2z-3)

Answer:

[tex]V_f=450ml/hr[/tex]

Step-by-step explanation:

From the question we are told that:

Mass [tex]m=15kg[/tex]

Amount of NaCl IV [tex]n=0.9\%[/tex]

Rate [tex]R=30ml/kg/hr[/tex]

Generally the equation for fluid rate be for your IV pump is mathematically given by

[tex]V_f=mR[/tex]

Since

Rate is

30ml/kg/hr at 1kg patient Weight

Therefore

[tex]V_f=15*30[/tex]

[tex]V_f=450ml/hr[/tex]

This is a isoceles triangle so base angles will be equal.

Therefore

ATQ

55 + 55 + x = 180

110 + x = 180 (Angle Sum Property)

x = 180 - 110

x = 70

Therefore x° = 70°

Answered by Gauthmath must click thanks and mark brainliest

Answer:x°=70°

Step-by-step explanation:

This is an isoceles triagle because the values on the sides of the figure are the same. Therefore the base angles will be equal.

55+55+x=180

110+x=180

Next, you will subtract 110 from both sides.

110+x=180

-110     -110

x°=70°

Answer:

1

Step-by-step explanation:

a pair of coordinates defines a first number x, and as second number y (or the functional result).

so, we need to find the value of x that leads to 2 as functional result.

2 = x² + 1

1 = x²

x = 1

Answer:

21/35

Step-by-step explanation:

Recall that Cos = Adjacent/Hypotenuse

We want to find Cos A

The adjacent of A is 21 and the hypotenuse is 35

So cos A would equal 21/35

In matrix form, the given system is written as

[tex]\begin{bmatrix}1&1&0\\6&2&-3\\k&0&-1\end{bmatrix}\begin{bmatrix}x\\y\\z\end{bmatrix}=\begin{bmatrix}3-k\\1\\-3\end{bmatrix}[/tex]

and the system has no solution is the coefficient matrix is singular. The determinant is

[tex]\begin{vmatrix}1&1&0\\6&2&-3\\k&0&-1\end{vmatrix} = -3k+4[/tex]

and this is zero when k = 4/3.

On the other hand, in case you are missing a factor of z in the first equation, so that the system should read

x + y + (k - 1) z = 2

6x + 2y - 3z = 1

kx - z = -3

reframing it as a matrix equation gives

[tex]\begin{bmatrix}1&1&k-1\\6&2&-3\\k&0&-1\end{bmatrix}\begin{bmatrix}x\\y\\z\end{bmatrix}=\begin{bmatrix}2\\1\\-3\end{bmatrix}[/tex]

Then the determinant of the coefficient matrix is

[tex]\begin{vmatrix}1&1&k-1\\6&2&-3\\k&0&-1\end{vmatrix} = -2k^2-k+4[/tex]

and the determinant is zero at two values, k = (-1 ± √33)/4.

Answer:

-6, -5, -4, -3, -2

or

-5, -4, -3, -2, -1

depending on if N starts at 0 or 1

Step-by-step explanation:

If n starts at 0 then the first 5 terms are the following,

-6, -5, -4, -3, -2

If n starts at 1 then the first 5 terms are these,

-5, -4, -3, -2, -1

Answer:

Step-by-step explanation:

{7,11,13}

Answer:

300

Step-by-step explanation:

3:120 =1:60 ==300:12000

Lets do

[tex]\\ \Large\sf\longmapsto 150:450:750[/tex]

[tex] \\ \Large\sf\longmapsto \frac{150}{ \dfrac{450}{750} } \\ \\ \Large\sf\longmapsto \frac{15}{ \dfrac{45}{75} } \\ \\ \Large\sf\longmapsto \frac{3}{ \dfrac{9}{15} } \\ [/tex]

Simplified ratio is

[tex]\boxed{\LARGE{\sf \$1:\$3:\$5}}[/tex]

Answer:

1        : 3     : 5

Step-by-step explanation:

$150 : $450 : $750

Divide each by 150

$150/150 : $450/150 : $750/150

1        : 3     : 5

Answer:

y = 2x + 6

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 2x + 3 ← is in slope- intercept form

with slope m = 2

Parallel lines have equal slopes , then

y = 2x + c ← is the partial equation

The line passes through (0, 6 ) ⇒ c = 6

y = 2x + 6 ← equation of parallel line

Answer:

No

7

Step-by-step explanation:

We can start by factoring 392 to see whether it is a cube. 392 is obviously divisible by 2 because the last digit is even, and dividing by two we get:

392 = 2 x 196

Again, 196 is divisible by 2, so we get:

392 = 2 x 2 x 98

And 98 is also divisible by 2:

392 = 2 x 2 x 2 x 49

49 is 7 times 7, so we can finish the prime factorization of 392:

392 = 2 x 2 x 2 x 7 x 7

This is the same as:

392 = 2^3 x 7^2

We can see 392 is not a cube because both numbers are not raised to a power divisible by 3.

In order to turn it into a cube, we'd need to make both prime factors raised to the power of a multiple of 3. 2 is already raised to one, but 7 is raised to the power of 2. In order to make that two divisible by 3, we can multiply by 7 so that our number is 2^3 x 7^3(2744), and this would be a cube(It's 14 cubed).

Answer:

$3072

Step-by-step explanation:

It is given that :

I work for 4 hours everyday, working 2 days a week.

And in 1 hour , I get $8.

Therefore,

1 hour = $8

4 hours = 4 x  8

             = $32

So, in 1 day working for 4 hours, I get $32.

∴ Working 2 days = 32 x 2

                              = $64

In 1 month, there are 4 weeks

So, in 4 weeks (or 1 month), I work for = 4 x 2

                                                               =  8 days

Therefore, in 8 days, I get = 8 x 32

                                            = $256

Now there are 12 months in a year.

So, in 12 months , I will get = 12 x 256

                                            = $3072

Therefore, in 1 year , I will get $3072.

Answer:

a) 7085g

b) 6346g

c) 5342g

Step-by-step explanation:

1kg = 1000g

Answer:

1) 800 (read the both) 2) 2200 (read exactly one)

Step-by-step explanation:

Find the people (families) who read neither of them

4000/100*25= 1000

It means that the rest 4000-1000= 3000 families read the newspapers at least  in one language  from the pointed languages. 4000/1oo*50= 2000 - readers in Nepali

4000/100*45= 40*45=1800 - readers in English.

2000+1800= 3800- the special amount, that consists of 1) only Nepali readers

2) only English readers 3) the readers in two languages (but the were counted twice, because we considered them in the group of Nepali readers and group of English readers)

The real quantity of only Nepali readers, only English readers and both language readers is 3000.

S0 3800-3000= 800 people - read in two languages

3000-800=2200 families read exactly one kind of these papers

Answer:

60

Step-by-step explanation:

We can use the Pythagorean theorem since this is a right triangle

a^2+b^2 = c^2 where a and b are the legs and c is the hypotenuse

a^2+25^2 = 65^2

a^2 +625 = 4225

a^2 = 4225-625

a^2=3600

Taking the square root of each side

sqrt(a^2) = sqrt(3600)

a = 60

Answer:

Step-by-step explanation:

Hypotenuse: 65

Leg: 25

Let Hypotenuse be c, and leg be a

[tex]a^{2}[/tex] + [tex]b^{2} = c^{2}[/tex]

[tex]a^{2} + 25^{2} = 65^{2}[/tex]

[tex]a^{2} + 625 = 4225\\[/tex]

[tex]a^{2}[/tex] = 4225 - 625

[tex]a^{2}[/tex] = 3600

3600 is the exponential value of a, meaning we need to apply the opposite of squaring to get the value of b. Which is square rooting.

a = [tex]\sqrt{3600\\}[/tex]

a = 60

Therefore a is equal to 60 feet

Answer:

x =9 ,6

Step-by-step explanation:

Answer:

37.68

Step-by-step explanation:

The formula for circumference is 2*pi*r plug in 6 for the radius to get 2*3.14*6 simplify to get 37.68

[tex]\rm \: \hookrightarrow \:\:Circumference \: \: of \: \: circle \: = \: 2 \: \pi \: r[/tex]

[tex]\bf \large \: \implies \:\:2 \: \times \: 3.14 \: \times \: 6[/tex]

[tex]\bf \large \: \implies \:\:6.28 \: \times \: 6[/tex]

[tex]\bf \large \: \implies \:\:37.68 \: \: inches[/tex]

Answer:

x=10, y=-6

Step-by-step explanation:

1) express x from the first equation x+y=4 x=4-y

2) It is the system of equations, so both equations are simultaneous.

you can replace x to 4-y in the second one

2 *(4-y) +3y=2

8-2y+3y= 2

y=-6

x= 4-y=4-(-6)=10

The answer is x=10, y=-6

Answer:

16

Step-by-step explanation:

if angle c is 45 then angle A is 45 also

Hence AB is equal to BC

The possible number of positive real solutions for the given polynomial equation is; Option C; One

We are given the polynomial;

5x³ + x² + 7x - 28 = 0

We can use descartes rule of signs to find the number of positive real zeros of the polynomial.

This descarte's rule of sign states that the number of sign changes from two consecutive coefficients tell us the number of maximum number of possible positive real zeros.

In our given polynomial, there is only one sign change. Thus we conclude that there is only one possible positive real solution to the polyomial.

Read more at; https://brainly.com/question/9624325

Answer:

D

Step-by-step explanation:

.......................

Answer: P (4 or even) = 1/2 = 50% = 0.5

Step-by-step explanation:

Concept:

Here, we need to know the idea of probability.  

Probability is a measure of the likelihood of an event to occur.  

If you are still confused, please refer to the attachment below for a graphical explanation.

Solve:

The numbers on a dice: 1, 2, 3, 4, 5, 6

Total numbers: 6

Numbers of 4 = 1

Numbers of even = 3

[Since 4 is one of the even numbers and they are overlapping, so we should subtract 1 from the number of favorable outcomes]

P (4 or even) = Favorable / Total (refer to attachment)

P (4 or even) = [(1 + 3) - 1] / 6

P (4 or even) = (4 - 1) / 6

P (4 or even) = 3 / 6

P (4 or even) = 1 / 2

Hope this helps!! :)

Please let me know if you have any questions

Answer:

three angles measuring 50°, 50°, 50° because they would add up to 150°. a triangles angles can only add up to 180°

Step-by-step explanation:

Answer:

three sides measuring 4 ft, 8 ft, and 14 ft

Step-by-step explanation:

The sum of the 3 angles of a triangle add to 180

three angles measuring 25° 65°, and 90° 25+65+90 =180

• three angles measuring 50°, 30°, and 100°50+30 +100 = 180

The sides of a triangle a<b<c   (a+b) >c

• three sides measuring 5 in., 12 in., and 13 in.

(5+12)>13  true

• three sides measuring 4 ft, 8 ft, and 14 ft

(4+8) >14  false

Answer:

-7

Step-by-step explanation:

-12 +5

Since the signs are different

Take the larger number and subtract the smaller number

12-5 =7

Take the sign of the larger

-7

Answer:

-7 is the answer

[tex]( - 12) + (5) \\ = 7[/tex]

Answer:

2

Step-by-step explanation:

4(a)+8-a

Combine like terms

4a-a +8

3a+8

Let a = -2

3(-2)+8

-6 +8

2