part 1- Selected Response
Which of the following linear equations
have a negative y- intercept? Circle all that
apply.
A. y = 6x
Cy=
-3x +2
2
E. y=
• X
3
B.y=-5 + 2x
D.y=-x+8
F.y=-5

Answer:

y=9

Step-by-step explanation:

5(y-10)=-5

5y-50=-5

+50 +50

5y=45

/5 /5

y=9

Answer: y=5x-1

Step-by-step explanation:

y=mx+b is the slope-intercept form

m = slope

b - y-intercept

So:

y=5x-1

Translate this phrase into an algebraic expression.

54 decreased by twice Vidya's savings

Use the variable y to represent Vidya's savings.

we have

because

twice Vidya's savings -------> 2y

so

54 decreased by twice Vidya's savings

54-2y

Answer:

To find the percent of 125 that 375 is, we need to divide 375 by 125 and then multiply by 100.

375 / 125 = 3

So 375 is 3 times 125. Multiplying 3 by 100, we get:

3 * 100 = 300%

So the correct answer is C) 300%.

Succes!

Answer:

C) 300%

Step-by-step explanation:

Percent of 125 means the value of x/125.

Where x is the value 375.

375/125 = 3

3 * 1 =

3 * 100% = 300%

It can be mistaken as 33.33% since 125 is 33.33% of 375.

^^ This question is asking 125 is what percent of 375.

But remember, the question, 'What percent of 125 is 375?', is asking 375 is what percent of 125, not the other way around.

Answer:

someone had the same exact question i just helped him on it sub 4 for x and 1 for h

Step-by-step explanation:

Answer:

Measure of the acute angle = 84°

Step-by-step explanation:

In the figure attached,

ABDE is a swimming pool having length 'AB' = 65 feet

Depth of one end of the pool is BE = 4 feet

And depth of the other end AD = 11 feet

Acute angle between the bottom of the pool (DE) and wall of the deep end (AD) is ∠ADE.

Now from ΔCDE,

tanx = \(\frac{EC}{DC}\)

tanx = \(\frac{7}{65}\)

x = \(\text{tan}^{-1}(\frac{7}{65})\)

x = 6.15°

Now measure of acute angle the bottom of the pool makes with wall at he deep end,

m∠ADE = (90 - 6.15)°

             = 83.85°

             ≈ 84°

Answer:

x² + 10x + 25

Step-by-step explanation:

To expand two quantities, we need to distribute each value in each quantity.

For example:

Start with multiplying the x in the first quantity with the x in the other quantity.

(x+5)(x+5) = x²...

Then multiply the x in the first quantity with the 5 in the other quantity.

(x+5)(x+5) = x² + 5x...

Repeat with the 5 in the first quantity.

(x+5)(x+5) = x² + 5x + 5x +25

Combine like-terms to simplify.

x² + 10x + 25

Answer:

x^2+10x+25 or (x+5)^2

Step-by-step explanation:

(x+5)(x+5)

Multiply x+5 and x+5 to get (x+5)^2 .

(x+5)^2

Use binomial theorem (a+b)^2 =a^2 +2ab+b^2  to expand (x+5)^2 .

x^2+10x+25

Answer:

100°

Step-by-step explanation:

tThe sum of all arc measures that make up that circle is 360 degrees.

QS + RQ + RS = 360

QS = 360 - 120 - 140 = 100

An arc angle is the degree measurement of that angle inside the circle, opposite the arc

m∠R = arc QS = 100°

Answer:

∠ R = 50°

Step-by-step explanation:

the inscribed angle R is half the measure of its intercepted arc QS

the sum of the arcs on a circle is 360° , that is

RQ + QS + SR = 360°

120° + QS + 140° = 360°

QS + 260° = 360° ( subtract 260° from both sides )

QS = 100°

Then

∠ R = \(\frac{1}{2}\) × 100° = 50°

The decision of which two homework assignments to complete depends on Mofor's individual circumstances and priorities.

If Mofor only has time to do two homework assignments out of the five subjects, he will need to choose which subjects to prioritize. The specific subjects he chooses to work on will depend on various factors such as his strengths, weaknesses, upcoming deadlines, and personal preferences. Here are a few strategies he could consider:

1. Prioritize based on importance: Mofor can prioritize the homework assignments that carry more weight in terms of grades or have upcoming deadlines. This way, he ensures that he completes the assignments that have a higher impact on his overall academic performance.

2. Focus on challenging subjects: If Mofor finds certain subjects more difficult or time-consuming, he can prioritize those assignments to allocate more time and effort to them. This approach allows him to concentrate on improving his understanding and performance in subjects that require extra attention.

3. Balance workload: Mofor can choose to distribute his efforts evenly across subjects, selecting two assignments from different subjects. This strategy ensures that he maintains a balanced workload and avoids neglecting any particular subject.

The decision of which two homework assignments to complete depends on Mofor's individual circumstances and priorities. It is essential for him to consider his academic goals, time constraints, and personal strengths to make an informed decision.

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SOLUTION

From the question

The function

is written in the general quadratic form of

while

is written in the vertex form for quadratic equation in form of

Hence both functions are the same, just that the first is the general quadratic form and the other is the vertex form

Hence the answer is True

Answer:

A' (12, 8), B'(4, 8), C'(12, -4), D'(4, -4)

Step-by-step explanation:

Since the dilation is in the center, we just need to multiply everything by our scale factor, 2.

A (6,4) → (12, 8)

B (2,4) → (4, 8)

C (6, -2)  → (12, -4)

D (2, -2) → (4, -4)

Hope this helps!

Answer:

okay so the circumference is 40.82m

\(circumference = 2\pi \: \times r \\ = 2 \times 3.14 \times 6.5 \\ = 40.82m\)

the diameter will be divided by 2 to give 6.5

Answer:

Points A, B, C, D

Step-by-step explanation:

They are all on the same plane

Answer:

Variance, V = 162.2133 kg²

Step-by-step explanation:

Given the following data;

Standard deviation = 12.7363 kg.

To find the the variance of their weights?

Mathematically, standard deviation is equal to the square root of variance.

\(Sd = \sqrt{V}\)

Where;

Sd is the standard deviation of the sample.

V is the variance of the sample.

Substituting into the formula, we have;

\(12.7363 = \sqrt{V}\)

Taking the square of both sides, we have;

\(12.7363^{2} = V \)

Variance, V = 162.2133 kg²

Answer:

x=3

Explanation:

Given the expression:

Since we have log(base 2) on each side, it implies that:

Next, solve the equation for x:

The solution to the equation, x=3.

the displacement is 23.14m and the velocity is 21.28m/s

What is quadratic equation?

it's a second-degree quadratic equation which is an algebraic equation in x. Ax2 + bx + c = 0, where a and b are the coefficients, x is the variable, and c is the constant term, is the quadratic equation in its standard form. A non-zero term (a 0) for the coefficient of x2 is a prerequisite for an equation to be a quadratic equation. The x2 term is written first, then the x term, and finally the constant term is written when constructing a quadratic equation in standard form. In most cases, the numerical values of letters a, b, and c are expressed as integral values rather than fractions or decimals.

The given equation y  = 25t - 1.86t²

at t =  1

So the displacement y = 25-1.86 = 23.14

to find velocity dy/dt = 25- 2(1.86)t

v = 25 - 3.72 = 21.28m/s

Hence the displacement is 23.14m and velocity is 21.28m/s

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It is always a good practice to simplify the result whenever possible, but in this case, V14 is the simplest form of the product of V7 and V2.

To multiply the square roots V7 and V2, we can combine the numbers inside the square roots and simplify the result.

V7 * V2 = V(7 * 2) = V14

Multiplying the numbers under the square roots, we get 7 * 2 = 14. Therefore, the product of V7 and V2 is V14.

This means that the square root of 14 is the result of multiplying V7 and V2. However, it is important to note that V14 cannot be further simplified because 14 does not have any perfect square factors.

In summary, the product of V7 and V2 is V14. It is worth mentioning that when multiplying square roots, we can multiply the numbers inside the square roots and keep the square root symbol intact, unless the numbers inside have perfect square factors that can be simplified further.

It is always a good practice to simplify the result whenever possible, but in this case, V14 is the simplest form of the product of V7 and V2.

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Answer:

C

Step-by-step explanation:

Did the test and got it right.

The function g(x) = 2x + 3 if  f(x) = 2(x + 1)² and f(g(x)) = 2(2x + 4)² option (C) is correct.

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

The question is incomplete.

The complete question is in the picture, please refer to the attached picture.

Suppose f(x) = 2(x + 1)² and f(g(x)) = 2(2x + 4)². What is g(x)?

A.g(x) = x + 3

B.g(x) = x + 4

C.g(x) = 2x + 3

D.g(x) = 2x + 4

We have:

f(x) = 2(x + 1)²

Let take g(x) = 2x + 3

Find f(g(x))

f(2x + 3) = 2[(2x+3) + 1]²

= 2(2x + 4)² = f(g(x))

Thus, the function g(x) = 2x + 3 if  f(x) = 2(x + 1)² and f(g(x)) = 2(2x + 4)² option (C) is correct.

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Answer:

No

Step-by-step explanation:

You can tell if something is a function by checking to see if a vertical line will intersect at one spot more than once. If it does, it is not a function.

Given:

Initial Volume = 80 L

Drainage flow rate = 2.5 L/ min

Required:

Time until 32.5 L of water is left in tank B

Solution

The volume of water drained when 32.5 L is left on tank B is:

Vd = 80 L - 32.5 L = 47.5 L of water drained.

the time required to drain 47.5 L of water is:

t = Vd / flowrate

t = 47.5 L / 2.5 L min

t = 19 min.

Answer.

It will take 19 min

Answer:

it is A

Step-by-step explanation:

a line is 180°, so if the ? and 140 are on the same line, 180-140 is your answer.

Answer: 160 seconds

Step-by-step explanation:

First let us find the number of seconds per rotation

52 second/65 rotations

52/65

0.8 seconds/1 rotation

0.8 seconds per rotation

Now let us multiply 0.8 by 200 to get our answer

0.8 * 200

160

It takes 160 seconds to do 200 rotations

Answer:

160 seconds

Step-by-step explanation:

We have 65 rotations in 52 seconds, let's represent it like this:

\(\frac{52 seconds}{65 rotations}\)

Now, let's multiply this by 200 rotations, and cancel out the rotations on the bottom:

\(\frac{52 seconds}{65 rotations} * 200 rotations\)

See how there is rotations on both the top and bottom? This cancels both of them and leaves seconds!

Multiply the above equation and we get:

160 seconds or 2 minutes 40 seconds.

Hope this helps! Good luck and if you have questions please leave them in the comments!

The sale price of the item when displayed on sales costs $8.75 based on the stated original price and percentage discount offered.

The formula to calculate sale price of the item according to discount and original price will be -

Sale price = 25% × original price

Keep the value of original price in the formula to find the sale price

Sale price = 25% × 35

Performing multiplication and division by solving the percentage on Right Hand Side of the equation to find the value of sale price of the item

Sale price = 8.75

Hence, the item on sale costs $8.75.

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Answer:

Step-by-step explanation:

the dot would either (1,4) or (4,1)

a squared+ b squared= c squared

the length of the sides are 3

3 squared + 3 squared= c squared

9+9 =c squared

18= c squared

square root of 18 rounded to the nearest tenth is 4.2