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Oksi-84 [34.3K]
3 years ago
10

Factor to find the zeros of the function defined by the quadratic expression. −7x2 − 91x − 280

Mathematics
1 answer:
Mariulka [41]3 years ago
3 0
There are no zeroes for an expression, only for equations.
Assuming equation to be
<span>−7x^2 − 91x − 280=0
-7(x^2+13x+40)=0
-7(x+8)(x+5)=0
by the zero product properties, 
x+8=0 => x=-8
or 
x+5=0 => x=-5</span>
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Jerry charges $15 for each lawn that he cuts. Depending homework and chores, he has time to cut at most 10 lawns a week. Jerry h
erastovalidia [21]

Answer:

Step-by-step explanation:

Jerry charges $15 for each lawn that he cuts. He can cut at most 10 lawns because of his limited time which is due to chores and homework. This means that if he is able to cut lawns, he would be making 10×15 = $150. This is the maximum that he can make. Also, Jerry has determined his fixed cost to be $10 a week. Therefore, his maximum profit will be

150 - 10= $140

This is modelled by the function below

y = 15x − 10

Where y(profit) depends on x(number of lawns).

The domain of this function is the set of all possible values of x for which the function is defined.

The domain of the function is ( x lesser than or equal to 10)

7 0
3 years ago
Read 2 more answers
What is 2/5 in decimal form?
son4ous [18]
2/5 is the same as 2÷5

2 ÷ 5 = 0.4

0.4 is your decimal form of 2/5

hope this helps
3 0
3 years ago
Need help,will give 20 points.Use the rectangle to find the measure of the following angles measure ane BAC=25
Sholpan [36]

1) All angles of a rectangle are right angles, so the measure of angle CBA is 90 degrees.

2) Since all angles of a rectangle are right angles, angle BAD measures 90 degrees. Subtracting the 25 degrees of angle BAW from this, we get that angle CAD has a measure of 65 degrees.

3) Opposite sides of a rectangle are parallel, so by the alternate interior angles theorem, the measure of angle ACD is 25 degrees.

4) Because diagonals of a rectangle are congruent and bisect each other, this means BW=WA. So, since angles opposite equal sides in a triangle (in this case triangle ABW) are equal, the measure of angle ABW is 25 degrees. This means that the measure of angle CBD is 90-25=65 degrees.

5) In triangle AWB, since angles in a triangle add to 180 degrees, angle BWA measures 130 degrees.

6) Once again, since diagonals of a rectangle are congruent and bisect each other, AW=WD. So, the measures of angles WAD and ADW are each 65 degrees. Thus, because angles in a triangle (in this case triangle AWD) add to 180 degrees, the measure of angle AWD is 50 degrees.

7 0
2 years ago
MATH HELP 50 POINTS
Free_Kalibri [48]
We know that
the law of cosines establish 
c²=a²+b²-2*a*b*cos C------> cos C=[a²+b²-c²]/[2*a*b]

in this problem
a=11 units
b=11 units
c=14 units
C=angle A

cos C=[11²+11²-14²]/[2*11*11]-----> cos C=0.19008
C=arc cos (0.19008)------> C=79.04°

the answer is
the measure of angle A is 79°

7 0
4 years ago
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Find an equation for the nth term in the following sequence:<br> 2, 8, 32, 128, 512...
seraphim [82]

Answer:

a_n = 2(4) ^{n-1}

Step-by-step explanation:

The sequence shown matches that of a geometric sequence of radius 4. To prove it, divide the term \frac{a_{n + 1}}{a_n} and check that \frac{a_{n + 1}}{a_n}=4

Then the formula that represents this sequence is:

a_n = a_1(r)^{n-1}

Where a_1 is the first term of the series = 2 and r is the radius of convergence = 4.

Then the equation is:

a_n = 2(4) ^{n-1}

8 0
3 years ago
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