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4 years ago

What value is added to both sides of the equation x2 − 8x = −10 in order to solve by completing the square? −8 16 −4 4?

1 answer:

7 0

X^2 - 8x = -10 .....u would add 16 to both sides
x^2 - 8x + 16 = -10 + 16

take half of ur x term, ur x term is -8, half of it is -4, then u square it...-4^2 = 16, and that is what u add to both sides

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A standardized exam's scores are normally distributed. In a recent year, the mean test score was 1491 and the standard deviati

Alinara [238K]

Answer:

$z(1910)=1.3429\\\\z(1230)=-0.9006\\\\z(2190)=2.2404\\\\z(1380)=-0.3558$

Step-by-step explanation:

-Given the population mean is $\mu=1491$ and the standard deviation is $\sigma=312$ , we calculate the z-scores using the formula:

$z=\frac{\bar x-\mu}{\sigma}$

#The z-score for 1910 can be calculated as:

$z(1910)=\frac{x-\mu}{\sigma}\\\\=\frac{1910-1491}{312}\\\\=\frac{419}{312}\\\\=1.3429$

#The z-score for 1230can be calculated as:

$z(1230)=\frac{x-\mu}{\sigma}\\\\=\frac{1230-1491}{312}\\\\=\frac{-281}{312}\\\\=-0.9006$

#The z-score for 2190 is calculated as follows:

$z(2190)=\frac{x-\mu}{\sigma}\\\\=\frac{2190-1491}{312}\\\\=\frac{699}{312}\\\\=2.2404$

#The z-score for 1380 is calculated as:

$z(1380)=\frac{x-\mu}{\sigma}\\\\=\frac{1380-1491}{312}\\\\=\frac{-111}{312}\\\\=-0.3558$

7 0

3 years ago

Does anyone know the answer, answer ASAP please!!

Natalka [10]

Answer:

A = 39 m²

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Step-by-step explanation:

Step 1: Identify Variables

Shorter Diagonal d2 = 3m + 3m = 6m

Longer Diagonal d1 = 9m + 4m = 13m

Step 2: Find Area

Substitute into formula: A = 1/2(13m)(6m)
Multiplication: A = 1/2(78m²)
Multiplication: A = 39 m²

6 0

3 years ago

Solve this equation and list the solution: x^3+18x=0

postnew [5]

Factor out the common term x

x(x^2 + 18) = 0

Solve for x; How?

Ask yourself: When will x(x^2 + 18) eqal zero?

When x = 0 or x^2 + 18 = 0

Solve each of the 2 equations above

Thus, x = 0, ±3√2i

7 0

4 years ago

PLEASE ANSWER ANY PROBLEM ASAP THANK YOU SO MUCH

Mashcka [7]

Answer:

1) No

2) Yes

3) angle UXS = 120 degrees

4) arc CB = 40 degrees

Step-by-step explanation:

If AB is tangent to the circle, then angle at A would be 90 degrees.

Is 13^2 + 14.6^2 = 19.4^2?

169 + 213.16 = 376.36 No

Is 8^2 + 6^2 = 10^2?

64 + 36 = 100 Yes

arc WS = arc VU + arc TU = 113 degrees

arc ST = arc WV because their chords cross making a pair of vertical angles.

full circle = 360 degrees

360-113 - 113 = 134 degrees

134/2 = 67 degrees for arc ST

arc STU = 67 + 53 = 120 degrees

Angle UXS = 120 degrees

4) arc CB = arc FB = 40 degrees because their chords cross making a pair of vertical angles.

3 0

3 years ago

Katie wants to buy some popcorn for her family at the theater. Each small tub of popcorn costs $3 and each large tub of popcorn

Ksivusya [100]

The correct solution is shown in the graph (D)

Given that the budget is $24 and the minimum is 7 tubs, the fourth graph shows the area in which both constraints are satisfied: triangular area between the points

7 small tubs

8 small tubs

3 large and 4 small tubs

7 0

3 years ago

Read 2 more answers