Oof, someone please help asap! I don't recall ever seeing this type of question before!

Answer:

[tex]y_1 = -2[/tex] and [tex]y_2 = 4[/tex]

Step-by-step explanation:

[tex] \sqrt{10y + 24} - 3 = y + 1[/tex]

Move the constant to the right-hand side and change their sign.

[tex] \sqrt{10y + 24} = y + 1 + 3 [/tex]

combine like terms

[tex] \sqrt{10y + 24} - 3 = y + 4[/tex]

Square both side to remove square brackets.

10y + 24 - 3 = y²+ 8y + 16

Move the expression to the left-hand side and change its sign.

10y + 24 - y² - 8y - 16 = 0

Combine like terms

10y - 8y + 24 - 16 - y² = 0

2y + 8 - y² = 0

Use commutative property to reorder the terms.

-y² + 2y + 8 = 0

Change the sign of expression.

y² -2y -8 = 0

split -2y

y² + 2y - 4y - 8 = 0

Factor out y from the first pair and -4 from the second equation.

y ( y + 2 ) - 4 ( y + 2 ) = 0

Factor out y+2 from the expression.

( y + 2 ) ( y - 4)

When the products and factors equals 0, at least one factor is 0.

y + 2 = 0

y - 4 = 0

Solve for y

y = -2

y = 4

When we plug the both solution as y we found that both is true solution of this equation.

This equation has two solutions which are -2 and 4.

Answer:

Solution given:

[tex] \sqrt{10y + 24} - 3 = y + 1[/tex]

keep the constant term in one side

[tex] \sqrt{10y + 24} =y+1+3[/tex]

solve possible one

[tex]\sqrt{10y+24}=y+4[/tex]

now

squaring both side

[tex](\sqrt{10y+24})²=(y+4)²[/tex]

10y+24=y²+8y+16

taking all term on one side

10y+24-y²-8y-16=0

solve like terms

8+2y-y²=0

doing middle term factorisation

8+4y-2y-y²=0

4(2+y)-y(2+y)=0

(2+y)(4-y)=0

either

y=-2

or

y=4

y=-2,4

Answer:

(-3x -3 - 24x/(x²-5))

Step-by-step explanation:

(x - 3x³ - 3x² - 10x + 15) / p = x² - 5

(-3x³ - 3x² - 9x + 15) / p = x² - 5

p = (-3x³ - 3x² - 9x + 15)/(x² - 5) = -3x - 3 - 24x/(x² - 5)

- -3x³ + 15x

---------------------------------

0 - 3x² - 24x + 15

- - 3x² + 15

‐-----------------------------------

0 - 24x + 0

Answer:

The answer is -10 or 1

Step-by-step explanation:

by doing multjoke for each and subtracting

Answer:

Q24=A

25=B

26=A

Step-by-step explanation:

Answer:

[tex] \blue{b = \dfrac{2A}{h}} [/tex]

Step-by-step explanation:

[tex] A = \dfrac{1}{2}bh [/tex]

Step 1. Switch sides.

[tex] \dfrac{1}{2}bh = A [/tex]

Step 2. Since the fraction 1/2 multiplies b, multiply both sides by the reciprocal of 1/2 which is 2.

[tex] 2 \times \dfrac{1}{2}bh = 2 \times A [/tex]

[tex] bh = 2A [/tex]

Step 3. Since h is multiplying b, and you want b alone, divide both sides by h.

[tex] \dfrac{bh}{h} = \dfrac{2A}{h} [/tex]

Answer:

[tex] b = \dfrac{2A}{h} [/tex]

Step-by-step explanation:

180-(90° +32°)

180- 122= 58

triangle =180°

180° - (58° +58°)

180° - 116°= 64°

Answer:

x=64

Step-by-step explanation:

∠A = 180-(90°+32°)

=> ∠A=180-122= 58

Angle sum property in Triangle=180°

=> x = 180° - (58°+58°)

=> x = 180° - 116°= 64°

Answer:

In a product like:

a*b = 0

says that one of the two terms (or both) must be zero.

Here we have our equation:

x^2 + 12 = 7x

x^2 + 12 - 7x = 0

Let's try to find an equation like:

(x - a)*(x - b) such that:

(x - a)*(x - b)  = x^2 + 12 - 7x

we get:

x^2 - a*x - b*x  -a*-b = x^2 - 7x + 12

subtracting x^2 in both sides we get:

-(a + b)*x + a*b = -7x + 12

from this, we must have:

-(a + b) = -7

a*b = 12

from the first one, we can see that both a and b must be positive.

Then we only care for the option with positive values, which is x =3 or x = 4

replacing these in both equations, we get:

-(3 + 4) = -7

3*4 = 12

Both of these equations are true, then we can write our quadratic equation as:

(x - 3)*(x - 4) = x^2 + 12 - 7x

The correct option is the last one.

Answer:

d

Step-by-step explanation:

Step-by-step explanation:

hi friend I can help you in this geometry work via Wazapp

The question is not complete as the scatter plot is missing.

Thus, I have attached the complete question showing the scatter plot.

Answer:

D: On a day with a high temperature of 0°C, the shop can expect to sell about 850 fluid ounces of hot coffee

Step-by-step explanation:

From the attached image showing the question and scatter plot, we can see that the scatter plot is modeled by the line; y = -5.9x + 850

Where;

x is the high temperature in °F

y is the amount of fluid ounces sold

Let's try x = 0°F

Thus;

y = 0 + 850

y = 850 fluid ounces

Let's try x = 10°F

Thus;

y = -5.9(10) + 850

y = 850 - 59

y = 791

This means for every increase in temperature of 10°F, the amount sold is approximately 60 fluid ounces lesser.

Looking at the options in the attached file, the only correct one that corresponds to our answer is option D where it says;. On a day with a high temperature of 0°C, the shop can expect to sell about 850 fluid ounces of hot coffee

What is mean: A mean is the simple mathematical average of a set of two or more numbers. To solve for it add all numbers together then divide by how many numbers are there. (Its best to put them in order)

$40 + $40 $60 + $80 + $100= $320/5= $64 is the mean

what is median: The median is the value separating the higher half of a data sample

40,40,60,80,100 (i like to cross it out so 40 and 100 cancle each other, another 40 and 80 cancel each other) now that you are left with only 1 number which is 60 that is the median.

What is Mode: the number that repeats the most

Mode is 40 because 40 repeats twice

Explanation:

Normally, cosine has a period of 2pi. This means that the curve repeats itself every 2pi units. However, this graph has a period of pi.

We can see this by noting that the distance from one peak such as x = 0 to another adjacent peak x = pi is exactly pi units across.

Since T = pi is the period, we then know that

B = (2pi)/T

B = (2pi)/(pi)

B = 2

Then recall that the general template is y = Acos(B(x-C))+D

In this case, A = 1, C = 0 and D = 0. So all of this leads to y = cos(2x)

The function f(x)=3/4 (x) -3 is a straight line,

so the range of the function is (-∞,∞)

Answered by GAUTHMATH

Answer:

I am in 5 classso i did not known answer

Hello,

[tex]z=\dfrac{X-69}{3.5} \\\\For\ X=72.5, \\\\z=\dfrac{72.5-69}{3.5} =1\\[/tex]

Using table of a normal reduced law:

p(z≤1)=0.8413

Thus p(z≥1)=1-0.8413=0.1587

There are 80*0.1587=12.696 ≈13 (frogs)

Answer:

12 frogs

Step-by-step explanation:

Hello,

Using table of a normal reduced law:

p(z≤1)=0.8413

Thus p(z≥1)=1-0.8413=0.1587

There are 80*0.1587=12.696 ≈12 (frogs) you don't round up because you cant have .7 percent of a frog.

ps. I copy and pasted caylus's response but corrected their answer because it was correct except the rounding up part.

Answer:

$11.76

Step-by-step explanation:

2.94×4=$11.76

Answer:

A' = (-3, 0)

Step-by-step explanation:

The coordinates of point A are (-6, 2).

The translation adds 3 to x and subtracts 2 from y.

A'(-6 + 3, 2 - 2) = A'(-3, 0)

Answer: A' = (-3, 0)

Answer:

A. 5

Step-by-step explanation:

PQ + QR + RS = PS

2x - 6 + 1 + x - 4 = 18

3x - 9 = 18

3x = 27

x = 9

RS = x - 4

RS = 9 - 4

RS = 5

Answer:

48 units

Step-by-step explanation:

i dont know

hi hi hi hi hi ih ih ih ihi ih i h

Answer:

Step-by-step explanation:

Given:

Perimeter = 46 cm

Length = 12 cm

To Find:

Width = ?

Solution:

Perimeter of Rectangle = 2( l + b)

We know the value of length

So, we can express this as a linear equation,

[tex]2(l + b) = 46 \\ 2(12 + b) = 46 \\ 24 + 2b = 46 \\ 2b = 46 - 24 \\ 2b = 22 \\ b = \frac{22}{2} \\ b = 11[/tex]

So therfore, the width/breadth of the rectangle is 11.

Answer:

Random and Representative.

Step-by-step explanation:

According to the Question,

Answer:

9-2 /10-2

7/8

4+3/5+3

7/8

fraction is 7/8

Answer:

7

Step-by-step explanation:

2(5) -3

10-3

7

Answer:

12^(3/2)

Step-by-step explanation:

(2x6)^3/2

2x6=12

12^3/2= 41.5692193817

Answer:5 units!

Step-by-step explanation:

.

The value of x will be  5 units  for the sphere that has the volume of (500/3)π cubic units.

From the formula of the volume of sphere,

volume of sphere = 4/3 πr³

where, r is the radius

in our case,

volume = (500/3)π

radius = x

substituting the given values

(500/3)π = (4/3)π *x³

x³ = 125

x= 5 units

Therefore, the value of x will be 5 units.

Learn more about Volume here:

https://brainly.com/question/1578538

#SPJ7

Complete question:

The volume of the sphere is 500/3 π cubic units.

What is the value of x?

4 units

5 units

8 units

10 units

Answer:

3.7 feet

Step-by-step explanation:

A golden rectangle is a rectangle in which the length and the width are in the ratio 1 : 1.618

If the width of the rectangle is 6, the length = 6 / 1.618 = 3.708 ft

= 3.7 (to the nearest tenth)

the tenth is the first number after the decimal place. To convert to the nearest tenth, look at the number after the tenth (the hundredth). If the number is greater or equal to 5, add 1 to the tenth figure. If this is not the case, add zero

Answer:

Number of fish in 2006 = 845 fishes (Approx.)

Step-by-step explanation:

Given;

Number of fish in 2000 = 1,150 fishes

Decreasing rate = 5% per year

Find:

Number of fish in 2006

Computation:

Exponential decay function:

F = P[1-r]ⁿ

Number of year = 2006 - 2000

Number of year =  6 year

Number of fish in 2006 = 1,150[1-5%]⁶

Number of fish in 2006 = 1,150[1-0.05]⁶

Number of fish in 2006 = 1,150[0.95]⁶

Number of fish in 2006 = 1,150[0.735]

Number of fish in 2006 = 845.25

Number of fish in 2006 = 845 fishes (Approx.)

Answer:

True

Step-by-step explanation:

This is the case when the result is True. The substituted variables in the argument must equal a conclusion that is also True. For example, if the premises are True, then the conclusion of the valid argument form needs to output a True conclusion as well. This makes the argument valid. Otherwise, the argument would be invalid if two True premises output a conclusion that is equal to False.