This one is really confusing me

Answer:

-8x² - 106x + 175 = 0

Step-by-step explanation:

Given:

(2x - 7)²- 6(2x - 7)(x-3) = 0

Find:

Solution of the following explanation

Computation:

(2x - 7)²- 6(2x - 7)(x-3) = 0

[(2x)² + (7)² - (2)(2x)(7)] - (12x - 42)(x-3) = 0

[4x² + 49 - 28x] - [12x² - 36x - 42x + 126] = 0

[4x² + 49 - 28x] - [12x² - 78x + 126] = 0

-8x² - 106x + 175 = 0

Answer:

1/2 x^4 +x^3 +8

Step-by-step explanation:

Standard form means highest power of x to lowest power of x

1/2 x^4 +x^3 +8

Answer:

C

Step-by-step explanation:

Given

[tex]\frac{x^2-16}{(x-16)(x+4)}[/tex]

The numerator is a difference of squares

x² - 16 = (x - 4)(x + 4)

= [tex]\frac{(x-4)(x+4)}{(x-16)(x+4) }[/tex] ← cancel the common factor (x + 4) on numerator/ denominator

= [tex]\frac{x-4}{x-16}[/tex] → C

Answer:

yes because the graph passes the vertical line test

Step-by-step explanation:

it is simple.

there is a constant speaking time of 25 minutes.

the duration of the meeting is the speaking time plus the question answering time.

so,

q = 1 means t = 25 + 1 = 26

q = 2 means t = 25 + 2 = 27

q = 3 means t = 25 + 3 = 28

q = 8 means t = 25 + 8 = 33

9514 1404 393

Answer:

  2. (only)

Step-by-step explanation:

The Pythagorean theorem tells you the sum of the squares of the two legs of a right triangle is equal to the square of the hypotenuse. To determine if these are right triangles, determine if that condition is met.

  1. 3^2 +5^2 = 9 + 25 = 34 ≠ (√35)^2 . . . . not a right triangle

  2. 5^2 +4^2 = 25 +16 = 41 = (√41)^2 . . . a right triangle

  3. 6^2 +8^2 = 36 +64 = 100 ≠ (√10)^2 . . . . not a right triangle

  4. 3^2 +3^2 = 9 +9 = 18 ≠ (3√3)^2 = 27 . . . . not a right triangle

Answer:

36 ft²

Step-by-step explanation:

equilateral means all sides are equally long.

a triangle has 3 sides.

in our case they are all equally long.

and their sum (all 3 sides together) is the perimeter

P = 18 = 3 × side length

side length = 18/3 = 6 ft

a square with the same side length (6) had then an area of

side length × side length = 6×6 = 6² = 36 ft²

it is important to remember : a length is measured e.g. in feet (ft). an area is then meshed in square-feet (ft²). it is important to add this to the calculated numbers to express the right dimension of these numbers.

Answer:

x = 3

Step-by-step explanation:

All the angles of a square are 90°

The diagonals bisect the angles , then

5x² = 45 ( divide both sides by 5 )

x² = 9 ( take the square root of both sides )

x = [tex]\sqrt{9}[/tex] = 3

Answer:

3136 = 2^6 × 7^2

2744 = 2^3 x 7^3

✓3136/3✓2744​ = ✓(2^6 × 7^2)/3✓(2^3 x 7^3) = (2^3 x 7)/3 x 14(✓14) = 56/42✓14 =4/3✓14

Answer:

Step-by-step explanation:

bearing is the angle which a line makes with the north.

Answer:

b, c, d

Step-by-step explanation:

Answer:

(g∘f)(x) = -20x + 22

Step-by-step explanation:

(g∘f)(x) simply means g(f(x))

We are given;

f(x) = -5x + 4

g(x) = 4x + 6

Thus;

(g∘f)(x) = 4(-5x + 4) + 6

(g∘f)(x) = -20x + 16 + 6

(g∘f)(x) = -20x + 22

Answer:

Step-by-step explanation:

Given,

l || m

Therefore,

142° + (3x+8)° = 180° [Since Co-exterior angles]

=> 3x + 8 = 180 - 142

=> 3x + 8 = 38

=> 3x = 38 - 8

=> 3x = 30

[tex] = > x = \frac{30}{3} [/tex]

=> x = 10 (Ans)

Hi there!

Looking at the graph, the first intersection point is clear. The red parabola and  blue line clearing intersect at the point (0, -1).

Find the second intersection point by setting the equations of both graphs equal to each other.

Line: y = 3x - 1

Parabola: y = 4x² - 1

Find another intersection point by setting these two equations equal to each other:

4x² - 1 = 3x - 1

Bring all terms onto one side:

4x² - 3x = 0

Factor out x:

x(4x - 3) = 0

Set 4x - 3 to 0 and solve:

4x - 3 = 0

4x = 3

x = 3/4

Plug in this value of x into an equation to solve for the y-coordinate. Use the linear equation for ease:

y = 3(3/4) - 1

y = 9/4 - 1

y = 5/4

(3/4, 5/4)

Answer:

Confidence Interval - "P" values  

(0.4433 , 0.5444 )

~~~~~~~~~~~~~~~~~~~~~~~

[tex]\mathrm{Expand\:}\left(x+4y\right)^3:\quad x^3+12x^2y+48xy^2+64y^3[/tex]

in you image it is the last on "D"

Step-by-step explanation:

Confidence Level - "P" values  

99% 2.58

Confidence Interval - "P" values  

(0.4433 , 0.5444 )  

Answer:

Step-by-step explanation:

I hope these are people in vehicles travelling toward each other.

80 mh * t + 40 mph * t = 420 miles

The two vehicles are going to travel a total of 420 miles. B will cover a lot more ground than A, but together they will make 420 miles

80t + 40t = 420

120t = 420

t = 420/120

t = 3.5

So after driving 3.5 hours, the two cars will meet.

Answer:

Solution given:

since Rosie walked 18 km INA first day.

so

first term[a]=18km

again

she walked 90% of what she walked the day before which means

common ratio decreasing

common ratio[r]90%=0.9

sum of 10th day[tex]S_{10}[/tex]=?

no of term (n)=10

now

we have

[tex]Sum_{10}=\frac{a(r^{n}-1)}{r-1}[/tex]

substituting value:

=[tex]\frac{18(0.9^{10}-1)}{0.9-1}[/tex]

=117.28km

in nearest 10 it is 117km

the total distance Rosie had travelled by the end of 10 days is 117km.

Answer:

$3.20 / kg

Step-by-step explanation:

$1.44 / pound

so, this is normed to 1 pound = 0.45 kg.

now we want to transform that to have 1 kg as the norming unit.

for this we need to multiply the top and the bottom of the ratio with the same number, so that the value of the ratio remains unchanged, but that the bottom turns into 1 kg.

so, what do we need to turn 0.45 into 1 ?

0.45 × x = 1

x = 1/0.45 = 1/1 / 45/100 = 100/45 = 20/9 = 2.22222...

since we need to multiply top and bottom with the same factor, we get

(1.44/0.45) × (2.222222/2.222222) =

(1.44 × 2.222222) / (0.45×2.222222) =

(1.44 × 2.222222) / 1kg = $3.20 / kg

the answer is number 4 or d

For a regular polygon with n sides, interior angle

= [(n-2) × 180°]/n

So, interior angle of this regular heptagon shape

= [(7 - 2) × 180°]/7

= (5 × 180°)/7

= 900°/7

= (900/7)°

= 128.571° [approximately]

Answer:

hello,

Step-by-step explanation:

center angle : 360°/7 °

half interior angle=0.5*(180-360/7)=900/14=450/7 = 64 ° +2/7° ≈64.3 °

interior angle= 128°+4/7°≈128.6 °

Answer:

the answer is 6

Step-by-step explanation:

3×2-0×2=6

Answer:

3/2(x+y)

Step-by-step explanation:

The cost of 2 DVD is x+y

Divide by 2 to get the cost of one DVD

(x+y) /2

Multiply by 3 to get the cost of 3

3/2(x+y)

Answer:

= 3(x + y)/2

Step-by-step explanation:

Cost of two DVD's is shown as :-

= x + y

If we divide by 2 we'll get the cost of each DVD

= (x + y)/2

Then, multiplying by 3 gives us the total amount.

= 3(x + y)/2

Answer:

900 is the correct awnser

Answer:

DEF = 105

Step-by-step explanation:

The sum of the angles of a triangle is 180

28+47+DEF = 180

Combine like terms

DEF+75=180

Subtract 75 from each side

DEF +75-75 =180-75

DEF = 105

Answer: D

Step-by-step explanation: The answer is D because firstly we know that all right triangles add up to 180 degrees.

Using this knowledge we know 2 sides out of the 3. Therefore 47+28+x=180. Then we would add the first 2 numbers then minus 180 to get 105 as your last angle.

Answer:

If its supposed to be simplify it will be -7 . If your finding the derivative it is 0.

Step-by-step explanation:

Answer:

here's the answer to your question

Answer:

5

This is essentially the third identical question that you posted with the same

type of solution ... if you look at the previous question you asked and the explanation.. you will see that the red line crosses a corner of a box at (4,20)

4 cups =  20 pralines thus the number you are looking for is 20/4 = 5

Step-by-step explanation:

lets try this "story" to explain...

assume that you can walk 3 miles in 1 hour

this means that at 0 hr you go 0 miles , 1 hr you go 3 miles etc

0,0

1,3

2,6

3,9

etc.

if you graph that you will have the red line in you graph, and the x values would be 0,1,2,3 with the y values being 0,3,6,9....

if you DIVIDE any of those points

3/1 ,6/2, 9,3 the result is always a "3" that is the speed that you are walking at

it is a CONSTANT (in this problem) ... note: if the speed is NOT constant then this basically becomes a calculus problem, ant an algebra one.

Hope this helps!

There are 3 images with full explanation

Answer:

hello,

answer C

Step-by-step explanation:

As |a| ≥0,

f(|a|)=|a|+5