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4 years ago

Please help its for my homework tomorrow,

Mathematics

1 answer:

Crank4 years ago

5 0

Answer:

2 x 2 x 7

Step-by-step explanation:

if you want to get a number in it's prime factors, you will have to divide the number step by step until it gets to 1. How I got my answer is by writing 28 divide by 2 you will get 14 divide by 2 you will get 7 divide by 7. That how I got 2 x 2 x 7.

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Jacques needs to convert the function f(x) = x2 − 6x + 14 to vertex form, f(x) = (x − h)2 + k, in order to find the minimum.

Anarel [89]

k = 5

the equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k ) are the coordinates of the vertex and a is a multiplier

To obtain this form use the method of completing the square

Since the coefficient of the x² term is 1 then

add/ subtract (half the coefficient of the x-term )² to x² - 6x

f(x) = x² + 2(- 3)x + 9 - 9 + 14 = (x - 3)² + 5 → k = 5

5 0

4 years ago

Read 2 more answers

Help! Solve the system of linear equations by substitution. Check your solution.

Nina [5.8K]

-2y=11-x
-7x+11-x=-13
-8x=-24
x=3
-2y=11-3
-2y=8
y=-4

8 0

3 years ago

the formula for calculating speed is DISTANCE divided by TIME equals SPEED (d/t=s). This is called an object's?

Daniel [21]

Answer:

speed

Step-by-step explanation:

it's literally stated in the question

8 0

3 years ago

ABCD is a rectangle. Find the measure of angle α to the nearest degree.

kodGreya [7K]

Answer:

α ≈ 76°

Step-by-step explanation:

The vertices of a rectangle are right , that is 90°

Using the tangent ratio in right triangle ABC

tanα = $\frac{opposite}{adjacent}$ = $\frac{BC}{AB}$ = $\frac{12}{3}$ = 4, then

α = $tan^{-1}$ (4) ≈ 76° ( to the nearest degree )

5 0

3 years ago

Reyesburg Corporation is contemplating using a new, more expensive glue in the construction of its laminated veneer lumber. Of i

Leokris [45]

Answer:

The mean carrying load of the beams tested is 908.7 pounds per square foot

Step-by-step explanation:

1. Data class 1: 860-879

Midpoint 1: M1=(860+879)/2=1,739/2→M1=869.5

Number of values in data class 1: n1=2

2. Data class 2: 880-899

Midpoint 2: M2=(880+899)/2=1,779/2→M2=889.5

Number of values in data class 2: n2=5

3. Data class 3: 900-919

Midpoint 3: M3=(900+919)/2=1,819/2→M3=909.5

Number of values in data class 3: n3=10

4. Data class 4: 920-939

Midpoint 4: M4=(920+939)/2=1,859/2→M4=929.5

Number of values in data class 4: n4=6

5. Data class 5: 940-959

Midpoint 5: M5=(940+959)/2=1,899/2→M5=949.5

Number of values in data class 5: n5=1

Mean=Sum(Mi*ni)/Sum(ni)

Mean=(M1*n1+M2*n2+M3*n3+M4*n4+M5*n5)/(n1+n2+n3+n4+n5)

Mean=(869.5*2+889.5*5+909.5*10+929.5*6+949.5*1)/(2+5+10+6+1)

Mean=(1,739+4,447.5+9,095+5,577+949.5)/(24)

Mean=(21,808)/(24)

Mean=908.6666666

Rounding to one decimal place:

Mean=908.7

3 0

4 years ago