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serious [3.7K]
3 years ago
13

For what values of m does the graph of y = 3x^2+ 7x + m have two x-intercepts?

Mathematics
1 answer:
qaws [65]3 years ago
8 0

Answer:

m < 49/12

Step-by-step explanation:

The portion of the quadratic formula under the square root sign is the discriminant.

If the discriminant is > 0 then there are two real roots.

b² -4ac > 0

-----------------------------

7² - 4(3)m > 0

49 - 12m > 0

Subtract 49 from both sides

-12m > -49

Divide both sides by -12

(when multiplying or dividing by a negative the inequality must be reversed)

m < 49/12

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(8v3-80v2+6)\(v-10)
Leto [7]

\frac{(8v^3-80v^2+6)}{v-10}

Use long division for dividing

(8v^3-80v^2+6) Here 'v' term is missing so we use 0vW

Divide (8v^3-80v^2+0v+6) by v-10 using long division

Step 1: Put 8v^2 at the top

step 2: multiply 8v^2 with v-10  and put it at the bottom

step 3: subtract it

We will get remainder 6

so quotient is  8v^2

Remainder is 6


8 0
3 years ago
An agricultural sprinkler distributes water in a circular pattern of radius 110 ft. It supplies water to a depth of e−r feet per
ludmilkaskok [199]

Answer:

the total amount of water supplier per hour to the region within a circle of radius R=110 ( that is from distance r, 0<r<110)

W(R) = 2\pi [1-(R+1)e^{-R}]

Step-by-step explanation:

if f(r) describes the water supplied at a distance r , the total amount supplied inside a region that goes from 0 until the circle of radius R, is the sum of all f(r) values from 0 until R, that is the integral value over these limits.

The formula deduction can be found in the attached picture

There is an "r" that multiplies e^-r as result of changing from rectangular coordinates to polar ones.(dx*dy --> r*dr*da)

5 0
3 years ago
What are the solutions to the following equation?
gregori [183]

Answer: -8.5

Step-by-step explanation:

I got it right on edg

3 0
3 years ago
Read 2 more answers
PLEASE ANSWER i WILL PUT MOST BRAINLIEST!
galina1969 [7]

Answer:

The correct option is;

c. Because the p-value of 0.1609 is greater than the significance level of 0.05, we fail to reject the null hypothesis. We conclude the data provide convincing evidence that the mean amount of juice in all the bottles filled that day does not differ from the target value of 275 milliliters.

Step-by-step explanation:

Here we have the values

μ = 275 mL

275.4

276.8

273.9

275

275.8

275.9

276.1

Sum = 1928.9

Mean (Average), = 275.5571429

Standard deviation, s = 0.921696159

We put the null hypothesis as H₀: μ₁ = μ₂

Therefore, the alternative becomes Hₐ: μ₁ ≠ μ₂

The t-test formula is as follows;

t=\frac{\bar{x}-\mu }{\frac{s}{\sqrt{n}}}

Plugging in the values, we have,

Test statistic = 1.599292

t_{\alpha /2} at 7 - 1 degrees of freedom and α = 0.05 = ±2.446912

Our p-value from the the test statistic = 0.1608723≈ 0.1609

Therefore since the p-value = 0.1609 > α = 0.05, we fail to reject our null hypothesis, hence the evidence suggests that the mean does not differ from 275 mL.

4 0
3 years ago
Zina solves a system of linear equations by elimination and finds a solution of (2, 2). One of the equations is a + b = 4. What
Dima020 [189]

Answer:

Option D

a+3b=8

6 0
3 years ago
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