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ValentinkaMS [17]
3 years ago
13

Factor the expression x2 − 8x + 16

Mathematics
1 answer:
Anastaziya [24]3 years ago
7 0
<span>x2 − 8x + 16
= (x - 4)(x - 4)
= (x - 4)^2</span>
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At the beginning of spring McKenzie planted a small sunflower in her backyard when it first planted the sunflower was 10 inches
katrin [286]

Answer: 15 inches tall

6 0
3 years ago
A shopkeeper allows 15% discount on the marked price, still he manages to have 7% profit. How much high did he mark his goods ab
lianna [129]

Answer: 25.9\%

Step-by-step explanation:

Given

Shopkeeper allows 15% discount on the marked price and still manages a profit of 7%

Suppose the marked price is x

So, the selling price is (1-0.15)x=0.85x

Suppose the cost price is y

\Rightarrow \dfrac{0.85x-y}{y}=7\%\\\\\Rightarrow \dfrac{0.85x}{y}-1=0.07\\\\\Rightarrow \dfrac{0.85x}{y}=1.07\\\\\Rightarrow y=\dfrac{0.85x}{1.07}\\\\\Rightarrow y=0.794x

So, the percentage the shopkeeper marked his goods above cost price

\Rightarrow \dfrac{x-y}{y}\times 100\\\\\Rightarrow \dfrac{x-0.794x}{0.794}\times 100\\\\\Rightarrow \dfrac{0.2056}{0.794x}\times 100\\\\\Rightarrow 25.89\%\approx 25.9\%

6 0
3 years ago
Select all the points that are on the graph of the line 2x + 4y=20 a.)(0.5) b. (0,10) c. (1,2) d.) (1,4) e.) (5,0) f. (10,0)
zmey [24]

Answer:

(0,5) and (10,0)

Step-by-step explanation:

The equation of the straight line is given by 2x + 4y = 20 .......... (1)

Now, point (0,5) satisfies the equation (1) as putting x = 0, we will get y = 5.

Now, point (0,10) does not satisfy the equation (1) as putiing x = 0, we get y = 5 ≠ 10

Again, point (1,2) does not satisfy the equation (1) as putiing x = 1, we get y = 4.5 ≠ 2

Now, point (1,4) does not satisfy the equation (1) as putiing x = 1, we get y = 4.5 ≠ 4

Again, point (5,0) does not satisfy the equation (1) as putiing y = 0, we get x = 10 ≠ 5

Finally, point (10,0) satisfies the equation (1) as putiing y = 0, we get x = 10 .

Therefore, only points (0,5) and (10,0) are on the graph of the line 2x + 4y = 20 (Answer)

8 0
3 years ago
Find the values of x and y that make k || j and
MArishka [77]

Answer:

  • x = 80°
  • y = 130°

Step-by-step explanation:

The interior is a parallelogram when adjacent angles are supplementary. This requires ...

  (x -30)° + (x +50)° = 180°

  2x + 20 = 180 . . . . . . . . . . . collect terms, divide by °

  2x = 160 . . . . . . . . . . . . . . . subtract 20

  x = 80 . . . . . . . . . . . . . . . . . divide by 2

Then the angle x+50 is ...

  (x +50)° = (80 +50)° = 130°

This is also the measure of the angle marked y.

For the lines to be parallel, x = 80, y = 130°.

6 0
3 years ago
Read 2 more answers
What is the solution to –4(8 – 3x) ≥ 6x – 8?<br><br> x ≥ –<br> x ≤ –<br> x ≥ 4<br> x ≤ 4
ollegr [7]

Answer:

x ≥ 4

Step-by-step explanation:

–4(8 – 3x) ≥ 6x – 8

Distribute

-32 +12x ≥ 6x – 8

Subtract 6x from each side

-32 +12x-6x ≥ 6x-6x – 8

-32 +6x  ≥  – 8

Add 32 to each side

-32 +32 +6x≥ 32– 8

6x ≥ 24

Divide by 6

6x/6 ≥ 24/6

x ≥ 4

7 0
3 years ago
Read 2 more answers
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