What is the solution to the system of equations graphed below?

What number must be added to the expression below to complete the square? X^2+5x

Leno4ka [110]

Answer:

25/4

Step-by-step explanation:

x^2 +5x

To complete the square we take (b/2)^2

b =5

(5/2)^2

25/4

7 0

4 years ago

Read 2 more answers

Josie is picking out wallpaper for a 9 feet by 10 feet accent wall in her new apartment. She has narrowed her choices down to th

elena55 [62]

Answer:

Josie should purchase floral daisy wallpaper.

Step-by-step explanation:

Area = Length × Width

The area of the Josie's accent wall = 9 × 10 = 90 feet²

The cost of Floral Daisy per square feet $=\frac{\text{Area of the wallpaper}}{price}$

= $\frac{(1.475\times 9.8)}{14.67}$

= $\frac{14.455}{14.67}$

= 0.98534 ≈ $0.99/ft²

The cost of total wallpaper for the wall = 90 × 0.99 = $89.10

The cost of Flower Power per square feet = $\frac{(8.33\times 12)}{99}$

= $\frac{99.96}{99}$

= 1.0096 ≈ $1.01/ft²

The cost of total wallpaper for the wall = 90 × 1.01 = $90.90

total savings = 90.90 - 89.10 = $1.80

∵ The floral daisy wallpaper comes in size = 1.45 ft × 9.8 ft

∴ Josie needs the number of rolls of floral daisy wallpaper to cover her wall = 7

The cost of 7 rolls = 14.67 × 7 = $102.69

To cover her wall with flower power wallpaper, she needs the number of rolls = 2

The cost of 2 rolls = 99 × 2 = $198

We can see the cost of floral daisy wallpaper is less than flower power.

Therefore, Josie should purchase floral daisy wallpaper.

8 0

3 years ago

A Rectangle is removed from a right triangle to create the shaded region below. Find the area of the shaded region be sure to in

Scorpion4ik [409]

The given shapes area is found to be 4 square yards.

Step-by-step explanation:

Step 1; To determine the area of an indefinite shape we must divide it into the shapes that we know. The shape that is given can be split into a triangle with a rectangle in it.

Step 2; Any given triangles area is half the multiplication of its base value and its height value. In the given diagram, the base of the triangle measures a length of 5 yards and the length from base to top is 4 yards

Area of the triangle = $\frac{1}{2}$ * base * height = $\frac{1}{2}$ * 5 * 4 = 10 square yards.

The given rectangle measures a length of 3 yards and a width of 2 yards. The area of any given rectangle is the multiplication of its length and width.

Area of the rectangle = Length * Width = 3 yards * 2 yards = 6 square yards.

Step 3; To find the total area of the shape we must subtract the the rectangle's area from the triangle's area.

Area of given shape = Area of the triangle - Area of the rectangle.

Area of given shape = 10 square yards - 6 square yards = 4 square yards.

7 0

3 years ago

Hey can you please help me posted picture of question

Ronch [10]

The formulas for conditional probability are:
$P(A\cap B')=P(A)\cdot P(B'|A)$
$P(A\cap B')=P(B')\cdot P(A|B')$ .
Since $P(A\cap B')= \frac{1}{6}$ and $p(B')= \frac{7}{18}$ , you have the equation $\frac{1}{6} = \frac{7}{18} \cdot P(A|B')$ .
Therefore, $P(A|B')= \frac{1}{6} : \frac{7}{18} =\frac{1}{6} \cdot \frac{18}{7} = \frac{3}{7}$ .
Answer: The correct choice is D.

8 0

3 years ago

Which expression is a factor of 36x2−9?

Nataly_w [17]

Answer:

18x - 9

Step-by-step explanation:

Factor the common factor of 9 first which gives $9(4x^{2} -1)$