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3 years ago

F(x) = -7x^2+8x+2 what is the value of the discriminant of f

Mathematics

2 answers:

yan [13]3 years ago

5 0

Answer:

120

Step-by-step explanation:

The discriminant can be written as an expression: b² - 4ac.

We know that a = -7, b = 8, c = 2, since the function f(x) = -7x² + 8x + 2 is in standard form: ax² + bx + 2.

Now let's evaluate the discriminant:

b² - 4ac

= 8² - 4(-7)(2) (Simplify)

= 64 - 4(-14)

= 64 + 56

= 120

Murrr4er [49]3 years ago

3 0

Answer:

D = 120, there are 2 real roots for F(x)

Step-by-step explanatU

using the

formula D = b^2 - 4ac for discriminant

D = 8^2 - 4*(-7)*2

D = 64 + 56 = 120

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Step-by-step explanation:

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2 years ago

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valkas [14]

Solution :

We know that

$H_0: \mu_1 = \mu_2=\mu_3$

$H_1 :$ At least one mean is different form the others (claim)

We need to find the critical values.

We know k = 3 , N = 35, α = 0.05

d.f.N = k - 1

= 3 - 1 = 2

d.f.D = N - k

= 35 - 3 = 32

SO the critical value is 3.295

The mean and the variance of each sample :

Goust Jet red Cloudtran

$\overline X_1 =50.5$ $\overline X_2 =50.07143$ $\overline X_3 =55.71429$

$s_1^2=19.96154$ $s_2^2=14.68681$ $s_3^2=36.57143$

The grand mean or the overall mean is(GM) :

$\overline X_{GM}=\frac{\sum \overline X}{N}$

$=\frac{51+51+...+49+49}{35}$

= 52.1714

The variance between the groups

$s_B^2=\frac{\sum n_i\left( \overline X_i - \overline X_{GM}\right)^2}{k-1}$

$=\frac{\left[14(50.5-52.1714)^2+14(52.07143-52.1714)^2+7(55.71426-52.1714)^2\right]}{3-1}$

$=\frac{127.1143}{2}$

= 63.55714

The Variance within the groups

$s_W^2=\frac{\sum(n_i-1)s_i^2}{\sum(n_i-1)}$

$=\frac{(14-1)19.96154+(14-1)14.68681+(7-1)36.57143}{(14-1)+(14-1)+(7-1)}$

$=\frac{669.8571}{32}$

= 20.93304

The F-test statistics value is :

$F=\frac{s_B^2}{s_W^2}$

$=\frac{63.55714}{20.93304}$

= 3.036212

Now since the 3.036 < 3.295, we do not reject the null hypothesis.

So there is no sufficient evidence to support the claim that there is a difference among the means.

The ANOVA table is :

Source Sum of squares d.f Mean square F

Between 127.1143 2 63.55714 3.036212

Within 669.8571 32 20.93304

Total 796.9714 34

3 0

2 years ago

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il63 [147K]

Answer:

The corresponding angles are congruent and the corresponding sides are congruent.

Step-by-step explanation:

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3 years ago

How are unit circle and trigonometric functions related?

Kipish [7]

Answer: The unit circle contains values for sine, cosine, and tangent.

Step-by-step explanation: The coordinates on the unit circle are the sine ratio and cosine ratio. From this, the tangent, secant, cosecant, and cotangent can be found.

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3 years ago

The condition_______?proves that ∆ABC and ∆EFG are congruent by the SAS criterion.

snow_lady [41]

Answer:

(1) D.Angle C is congruent to to Angle F. (2) C. SSS. (3) C. cannot be congruent to.

Step-by-step explanation:

From the given figure it is noticed that

$AC=EG$

$CB=GF$

According to SAS postulate, if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then both triangles are congruent.

The included angles of congruent sides are angle C and angle G.

So, condition "Angle C is congruent to to Angle F" will prove that the ∆ABC and ∆EFG are congruent by the SAS criterion.

If $AB\neq EF$

According to SSS postulate, if all three sides in one triangle are congruent to the corresponding sides in the other.

Since two corresponding sides are congruent but third sides of triangles are not congruent, therefore SSS criterion for congruence is violated.

Since two corresponding sides are congruent but third sides of triangles are not congruent, therefore the included angle of congruent sides are different.

$\angle C\neq \angle G$

Therefore angle C and angle F cannot be congruent to each other.

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3 years ago