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vlada-n [284]
3 years ago
9

Factor the quadratic expression t^2 + 4t - 7

Mathematics
1 answer:
zepelin [54]3 years ago
7 0

Answer:

Not factorable.

Step-by-step explanation:

We have a trinomial (3 terms). We factor by splitting the middle term 4t into factors of -7 (the last term) which add to 4.

-7 = 1 * -7

4t= 1t+-7t doesn't work

4t=-1t+7t doesn't work

This is not factorable.



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A random sample of adult female reaction times has a sample mean of x¯=394.3 milliseconds and sample standard deviation of s=84.
s2008m [1.1K]

Answer:

99.7%

Step-by-step explanation:

Given that mean (μ) = 394.3 ms and standard deviation (σ) = 84.6 ms.

The empirical rule states that for a normal distribution:

  1. 68% falls within one standard deviation (μ ± σ)
  2. 95% falls within two standard deviation (μ ± 2σ)
  3. 99.7% falls within three standard deviation (μ ± 3σ)

one standard deviation = 394.3 ± 84.6 = (309.7, 478.9). 68% falls within 309.7 and 478.9 ms

two standard deviation = 394.3 ± 2 × 84.6 = (225.1, 563.5). 95% falls within 225.1 and 563.5 ms

three standard deviation = 394.3 ± 3 × 84.6 = (140.5, 648.1). 99.7% falls within 140.5 and 648.1 ms

8 0
2 years ago
The multiplicative inverse of -7/8 is​
suter [353]

7/8 is a answer of this question

3 0
3 years ago
Use the associative property to write am expression equivalent to (n+3) +4
lisabon 2012 [21]
D is the correct answer.

6 0
2 years ago
Consider the quadratic equation x2 + 2x - 35 = 0. Solve by factoring and using the zero-product property.
Morgarella [4.7K]

Answer:

x = -7

x = 5

Step-by-step explanation:

The standard form of quadratic equations is

Ax^2 + Bx + C = 0

The factors need to multiply together to be C and add together to be B.

The two numbers that will multiply together to be -35 and add together to be 2 are -5 & 7.

The factor pairs are (x+7)(x-5). Zero product property means we set each of those factor pairs = 0 and solve.

x + 7 = 0

-7 -7 Subtract 7 from each side to solve

x = -7

x - 5 = 0

+5 +5 Add 5 to each side to solve

x = 5

4 0
1 year ago
Read 2 more answers
Graph the quadratic functions y = -2x^2 and y = -2x^2 + 4 on a separate piece of paper. Using those graphs, compare and contrast
kirza4 [7]

Answer:

They are represented by downward parabola

They have the same equations of line of symmetry

Their vertices have same x-coordinates but different y-coordinates

They have the same domains

They have different ranges

They have different maximum values at same x values

The graph of y = -2x² + 4 is the image of the graph y = -2x² after translation 4 units up

Step-by-step explanation:

y = -2x² is a quadratic equation which represents by a parabola

From the red graph:

The graph of y = -2x² is represented by downward parabola

It has a maximum vertex (0 , 0)

The line of symmetry at x = 0

Its maximum value = 0 at x = 0

Its domain is {x: x ∈ R}

Its range is {y: y ≤ 0}

From the blue graph:

The graph of y = -2x² + 4 is represented by down ward parabola

It has a maximum vertex (0 , 4)

The line of symmetry at x = 0

Its maximum value = 4 at x = 0

Its domain is {x: x ∈ R}

Its range is {y: y ≤ 4}

From the two graphs

They are represented by downward parabola

They have the same equations of line of symmetry

Their vertices have same x-coordinates but different y-coordinates

They have same domains

They have different ranges

They have different maximum values at same x values

The graph of y = -2x² + 4 is the image of the graph y = -2x² after translation 4 units up

8 0
3 years ago
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