Please help. I’ll mark you as brainliest if correct!

Answer:

y= 7 and -1

Step-by-step explanation:

The function g(x) = 4x² - 28x + 49 can be rewritten as g(x) = 4(x - 7/2)² - 147 after completing the square.

To complete the square for the function g(x) = 4x² - 28x + 49, we follow these steps:

Step 1: Divide the coefficient of x by 2 and square the result.

  (Coefficient of x) / 2 = -28/2 = -14

  (-14)² = 196

Step 2: Add and subtract the value obtained in Step 1 inside the parentheses.

  g(x) = 4x² - 28x + 49

  = 4x² - 28x + 196 - 196 + 49

Step 3: Rearrange the terms and factor the perfect square trinomial.

  g(x) = (4x² - 28x + 196) - 196 + 49

  = 4(x² - 7x + 49) - 147

  = 4(x² - 7x + 49) - 147

Step 4: Write the perfect square trinomial as the square of a binomial.

  g(x) = 4(x - 7/2)² - 147

Therefore, the function g(x) = 4x² - 28x + 49 can be rewritten as g(x) = 4(x - 7/2)² - 147 after completing the square.

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The probable question may be:

Rewrite the function by completing the square.

g(x)=4x²-28x +49

g(x)= ____  (x+___ )²+____.

Answer: approximately 3.14

Step-by-step explanation: In decimal form, the value of pi is approximately 3.14. But pi is an irrational number, meaning that its decimal form neither ends (like 1/4 = 0.25) nor becomes repetitive (like 1/6 = 0.166666...). (To only 18 decimal places, pi is 3.141592653589793238.)

Answer:

(0,3) (1,0)

Step-by-step explanation:

Put this equation on desmos and if you put this equation in then you'll get your answer. The question you put was unsure I hope this is what you were looking for.

Answer:

I dont understand what you're saying, but im thinking 7 miles?

Rounding to the nearest cent, the estimated value of the vehicle after 4 years is approximately $23,726.20..

To estimate the value of the vehicle after 4 years, we can use the given equation A = 39500(0.86)^t, where A represents the value of the vehicle and t represents the number of years.

Substituting t = 4 into the equation:

A = 39500(0.86)^4

A ≈ 39500(0.5996)

A ≈ 23726.20

Rounding to the nearest cent, the estimated value of the vehicle after 4 years is approximately $23,726.20.

This estimation is based on the assumption that the vehicle's value decreases by 14% each year. The equation A = 39500(0.86)^t models the exponential decay of the vehicle's value over time. By raising the decay factor of 0.86 to the power of 4, we account for the 4-year period. The final result suggests that the value of the vehicle would be around $23,726.20 after 4 years of ownership.

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The value of y when a = 1 and b = 2 is 22.

The equation of can be solved as follows: We will substitute the value of a and b  in the equation to find the value of y.

Therefore,

y = 3ab + 2b³

Let's find y when a = 1 and b = 2

Hence,

y = 3(1)(2) + 2(2)³

y = 6 + 2(8)

y = 22

Therefore,

y = 22

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Answer:

x = 2 or x = -5

Step-by-step explanation:

x² + 3x - 4 = 6

x² + 3x -4 - 6 = 0

x² + 3x - 10 = 0 (Here you find two numbers that have a sum of 3 and a product of -10. These two numbers would be 5 and -2. 5 - 2=3 and 5×-2 =-10.)

x² + 5x - 2x -10 = 0 (They you replace 3x by 5x and -2x)

(x² + 5x) (-2x -10) =0 - (You find common terms)

x(x + 5) -2(x + 5) = 0

(x - 2) (x + 5) = 0

So

x - 2 = 0 or x + 5 = 0

x =2               x = -5

Answer:x=2

Step-by-step explanation:

x^2+3x-4=6

2x+3x-4=6

add 2x and 3x and you get 5x

5x-4=6

add 4 to both sides 6 plus 4 is 10

5x=10

know divide 5 from both sides and you get 2

x=2

Answer: D) 54 inches = 1 1/2 yards

explanation: 1 1/2 yards = 54 inches.

Answer:

about $64

Step-by-step explanation:

4 x $15.99 = $63.96

round $63.96 to get $64

About 35%  of Earth's surface area is the Pacific Ocean. OPtion D is the correct option.

What is surface area?

The area is the space occupied by a two-dimensional flat surface. It is expressed in square units. The surface area of a three-dimensional object is the area occupied by its outer surface. It's also expressed in square units.

In general, there are two kinds of areas:

(i) Total surface Area  (ii) Curved Surface Area/Lateral Surface Area

Given that the surface area of  Earth is about 5.2 x 10¹⁴ square meters.

The surface area of the Pacific Ocean is about 1.81  x 10¹⁴ square meters.

To find the percentage, Multiply 100 by the quotient of the area of the object by the total surface area.

The percentage of the area of the  Pacific Ocean is

[(1.81  x 10¹⁴)/(5.2 x 10¹⁴)] x 100

= [1.81/5.2] x 100

= 34.807%

≈ 35%

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Answer:

hello :

f(x)=x/4-3 and g(x)= 4x²+2x-4,

(f+g)(x).=f(x)+g(x)=x/4-3  + 4x²+2x-4,

(f+g)(x).= 4x²+(2x+x/4)-7

(f+g)(x).= 4x²+x(3+1/4) - 7......continu

Answer:

Sherry have 8 crayons.

Step-by-step explanation:

Marie has 32 crayons.

Sherry has 1/4 as many crayons as Marie.

We need to find how many crayons does Sherry have. It means we need to find 1/4 of 32. Let the answer is x.

\(x=\dfrac{1}{4}\times 32\\\\=8\ \text{crayons}\)

Hence, Sherry have 8 crayons.

The population variance σ² = 16.

The standard deviation, σ = 4.

The square root of the variance is used to calculate the standard deviation, a statistic that expresses how widely distributed a dataset is in relation to its mean.

Given:

A population sample,

10, 13, 17, 19, 21.

The mean μ = 16.

The sum of squares SS = 80

Now, the standard deviation,

σ = √80/5 = 4

The population variance σ² = 16.

Hence, σ = 4, and σ² = 16.

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The length of the ladder that is leaning on the building would be = 24ft. That is option B.

To determine the length of the ladder, the sine rule needs to be obeyed. That is

= a/sinA = b/sinB

Where;

a = 8.2 ft

A = 180-( 70+90

= 180- 160

= 20°

b = X

B = 90°

That is;

8.2/sin20° = b/sin90°

Make b the subject of formula;

b = 8.2×1/0.342020

= 23.9

= 24 ft

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The dependent variable responds to variations in the separate variable manipulated during the experiment. It allows you to understand whereas if changes involved possess or are not significantly linked or whether they are because of certain factors.

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Answer:

10 milligrams

Step-by-step explanation:

Answer:

1 milligrams

milligrams

Answer:

Step-by-step explanation:

\(\frac{3}{n}\) - 10.

The quotient of 3 and a number translates to \(\frac{3}{n}\), then, all you have to do is subtract 10 from that value, giving the expression above.

Answer:

Step-by-step explanation:

To calculate the time it took the athlete to complete the second 5 km, we can subtract the time it took to complete the first 5 km from the time it took to complete the full 10 km.

Time taken to complete first 5 km = 19 min 58 sec

Time taken to complete full 10 km = 37 min 25 sec

Time taken to complete second 5 km = (Time taken to complete full 10 km) - (Time taken to complete first 5 km)

= (37 min 25 sec) - (19 min 58 sec)

= 17 min 27 sec

Therefore, it took the athlete 17 min 27 sec to complete the second 5 km.

To convert 3.5 hours into hours and minutes, we can separate the whole number part (hours) and the decimal part (minutes). The decimal part represents the fraction of an hour, which we can convert to minutes by multiplying by 60.

3.5 hours = 3 hours + 0.5 hours

= 3 hours + (0.5 x 60) minutes

= 3 hours + 30 minutes

Therefore, 3.5 hours is equal to 3 hours and 30 minutes.

To write down the time on the clock, we would need to know what the clock face looks like. However, assuming a typical analog clock face, if Andiswa reads the time as 6:15 in the morning, then the time in 24-hour format would be 06:15. We can describe the time as "six-fifteen in the morning."

Answer:

very far from the distance approved from the brain

Answer:

e = 129

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

e is an exterior angle of the triangle , then

e = 60 + 69 = 129

the original height of the plant was 2mm. The correct option is the second one.

We know that the function:

y = 2 + 4x

Represents the height of a plant in mm, as a function of x, the hours kepts in sunlight.

The y-intercept is the value that y takes when we evaluate in x = 0.

So, the y-intercept is the height of the plant when it is exposed to zero hours of light.

In this case:

y = 2 + 4*x

Evaluating in x = 0

y = 2 + 4*0 = 2

This means that the original height of the plant was 2mm. The correct option is the second one.

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Answer:

9

Step-by-step explanation:

Answer:

e8=56+ 34 x 3 (45 x -2) = 4

Step-by-step explanation:

Answer:

56+34×3

Step-by-step explanation:

hope it helps

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What is that for?

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Answer:

x = -7,   y = 5

Step-by-step explanation:

a) x + 9y = 38,   b) 3x + 7y = 14

From a)

x = 38 - 9y ---- (Equation 1)

From b)

{3*(38 - 9y)} + 7y = 14 ----- (From equation 1)

114 - 27y + 7y -14 = 0

100 - 20y = 0

20y = 100

y = 5

From a)

x + (9*5) = 38  (substituting the value of y = 5)

x + 45 = 38

x = 38 - 45

x = -7

Hope, this will help

Answer:

W=(1/7)

Step-by-step explanation:

The polynomial 18x³ - 2x² + 4x - 1 consists of four terms.

The number of terms in a polynomial helps when performing operations like simplification, factoring, or evaluating expressions.

The polynomial 18x³ - 2x² + 4x - 1 consists of four terms.

In order to determine the number of terms in a polynomial, we count the number of distinct algebraic expressions separated by addition or subtraction operations.

In this polynomial, we have:

Term 1: 18x³ (This is the term with the highest degree, which is 3 in this case, and it includes the coefficient 18.)

Term 2: -2x² (This term has a degree of 2 and a coefficient of -2.)

Term 3: 4x (This term has a degree of 1 and a coefficient of 4.)

Term 4: -1 (This is a constant term with a degree of 0.)

We can see that there are four distinct terms separated by addition and subtraction operations:

18x³, -2x², 4x, and -1.

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