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liubo4ka [24]
4 years ago
10

.

Mathematics
1 answer:
yKpoI14uk [10]4 years ago
8 0
Since both equations equal y, you can set them equal to each other:
-x^2+6=3x-4
Move the x and 6 to the other side, since the x squared cannot stay negative and one side must equal 0.
0= x^2+3x-10, after this factor. 
(x - 2 )(x + 5 )=0, solve each parenthese separately making it equal to 0.
x=2, -5
 
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Use long division to find the quotient. Write your answer as a decimal 99 divided by 12
ad-work [718]

Answer:

Please refer to the image

Step-by-step explanation:

7 0
3 years ago
Factor the expression completely.
navik [9.2K]

Answer:

(2n + 7) (2n +7)

Step-by-step explanation:

To solve this problem we need to factorize 4n^2 + 28n +49 as shown below

4n^2 + 28n +49\\=>4n^2 + 14n + 14n +49\\=>2n(2n  + 7)  + 7(2n +7)\\=> (2n + 7) (2n +7)

thus, after factorization we see that first option is correct one

(2n + 7) (2n +7)

we can validate this by expanding it

2n (2n +7) + 7 (2n+7)\

=> 4n^2 + 14n + 14n + 49 = 4n^2 + 28n +49 (which is equal to the problem stated expression)

4 0
4 years ago
a rectangular tank has Breath ( x + 3 )and length (x + 5) .write an expression for the area and find the area of the triangle if
lesantik [10]

Step-by-step explanation:

Length = 5 cm and Breadth = 3 cm

Area of a rectangle = length × breadth

=(5×3) cm

2

=15 cm

2

Hence, Area of rectangle with length 5 cm and breadth 3 cm is 15 cm

7 0
2 years ago
Does anyone know the answer give u 20 points
Ne4ueva [31]

To find the distance between two coordinates on a graph, use the Distance Formula: D = √((x₁ - x₂)² + (y₁ - y₂)²).

Our values for x₁, x₂, y₁, and y₂ will be replaced with the x- and y-values in the given coordinates, (5, 6) and (-4, -7).

Substitute.

√((x₁ - x₂)² + (y₁ - y₂)²)

√((-4 - 5)² + (-7 - 6)²)

Subtract.

√(-9² + (-13)²)

Square.

√(81 + 169)

Add.

√(250)

Simplify.

√(5² · 5 · 2)

√(5²)√(2 · 5)

5√(10) or approx 15.8114

Answer:

B. 15.81 units

5 0
3 years ago
Scores on the GRE are normally distributed with a mean of 514 and a standard deviation of 92. Use the 68-95-99.7 rule to find th
SpyIntel [72]

Answer:

2.5%

Step-by-step explanation:

The percentage of people taking the test who are above 698 is ___%

Empirical rule formula states:

95% of data falls within 2 standard deviations from the mean - between μ – 2σ and μ + 2σ .

99.7% of data falls within 3 standard deviations from the mean - between μ - 3σ and μ + 3σ

From the question, we have:

Mean of 514 and a Standard deviation of 92

Hence:

μ ± xσ

514 ± 92x = 698

514 + 92x = 698

92x = 698 - 514

92x = 184

x = 184/92

x = 2

Hence, the data is correct and it is 2 standard deviation from the mean. Therefore, 95% of data falls within 2 standard deviations from the mean - between μ – 2σ and μ + 2σ .

The question is asking us to find the percentage of people taking the test who are above 698 is calculated as:

100 - 95% /2

= 5/2

= 2.5%

The percentage of people taking the test who are above 698 is 2.5%

8 0
3 years ago
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