Which two numbers add up to be 8 and multiply to be -84

Answers

Answer 1

Answer: righ, so negative times positive=negative
negative+positive=positive
thereofr
positive>negative

factor -84 where the negative is smaller ex -12 and 13, not -14 and 10 so

-2 and 42 nope
fast forward
-6 and 14 yes
-6+14=8
so the numbers are -6 and 14

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List all the subsets of each set:

{a,e,i, o}

Answers

$\{\}, \{a\}, \{e\}, \{i\}, \{o\}, \{a, e\}, \{a, i\}, \{a, o\}, \{e, i\}, \{e, o\}, \{i, o\}, \{a, e, i\},\n \{a, e, o\}, \{a, i, o\}, \{e, i, o\}, \{a, e, i, o\}$

What is the answer to this proplem in the picture.

Answers

$Answer:y\leq3x-1$

$y\leq3x-1$

Slope-intercept from two points (1,4) and (2,2)

Answers

Answer:

$y=-2x+6$

Step-by-step explanation:

Equation of the line

First, we find the slope of the line.

Suppose we know the line passes through points A(x1,y1) and B(x2,y2). The slope can be calculated with the equation:

$\displaystyle m=(y_2-y_1)/(x_2-x_1)$

The two points are (1,4) and (2,2), thus:

$\displaystyle m=(2-4)/(2-1)=(-2)/(1)$

$m=-2$

The equation of a line passing through (h,k) and slope m is:

$y-k=m(x-h)$

$y-4=-2(x-1)$

Note we used the point (1,4). If we used the other point, the result would have been the same. Operating the equation:

$y-4=-2x+2$

Adding 4:

$y=-2x+6$

The slope-intercept form of the line is

$\boxed{y=-2x+6}$

According to the Fundamental Theorem of Algebra, how many roots exist for the polynomial function? f(x) = 8x7 – x5 + x3+6

Answers

According to the Fundamental Theorem of Algebra, the number of roots of a polynomial is equal to the degree of the polynomial. The degree of the polynomial is the highest exponent of a term in the polynomial.
Looking at the function, the term with the highest exponent is 8x7. The exponent is 7; therefore, the function has 7 roots.

According to the Fundamental Theorem of Algebra, the roots exist for the polynomial function $f\left( x \right) = 8{x^7} - {x^5} + {x^3} + 6 x$ is $\boxed7.$

Further explanation:

The Fundamental Theorem of Algebra states that the polynomial has n roots if the degree of the polynomial is n.

$f\left( x \right) = a{x^n} + b{x^(n - 1)} +\ldots + cx + d$

The polynomial function has n roots or zeroes.

Degree is highest power of the polynomial function.

Given:

The polynomial function is $f\left( x \right) = 8{x^7} - {x^5} + {x^3} + 6.$

Explanation:

The polynomial function $f\left( x \right) = 8{x^7} - {x^5} + {x^3} + 6$ has seven zeroes as the degree of the polynomial is 7.

According to the Fundamental Theorem of Algebra, the roots exist for the polynomial function $f\left( x \right) = 8{x^7} - {x^5} + {x^3} + 6$ is $\boxed7.$

Learn more:

1. Learn more about inverse of the functionbrainly.com/question/1632445.

2. Learn more about equation of circle brainly.com/question/1506955.

3. Learn more about range and domain of the function brainly.com/question/3412497

Answer details:

Grade: High School

Subject: Mathematics

Chapter: Polynomials

Keywords: quadratic equation, equation factorization. Factorized form, polynomial, quadratic formula, zeroes, Fundamental Theorem of algebra, polynomial, seven roots.

Please help me solve this question.

Answers

Cut the sign in half across its middle. Then you have two right triangles.
They're congruent, so pick one to work with, and discard the other one
temporarily.

In the right triangle:

-- The length of one leg is 'x'.
-- The length of the other leg is (2x + 7).
-- The length of the hypotenuse is 35.47 inches.

You know that in any right triangle:

(The square of the hypotenuse) =
(the square of one leg) + (the square of the other one.)

so you can use that to find the value of 'x'.

One you know the value of 'x', go back to the whole sign before you cut it
in half, and notice that the height of the sign is '2x' ... which is the answer.

height =2x so we must find x then multiply by 2

if we cut the triangle in half from with the line from left to right, we have a trianlgle that is x high and 2x+7 wide and the hyposonuse that is 35.47 so
a^2+b^2=c^2
x^2+(2x+7)^2=35.47^2
x^2+4x^2+28x+49=1258.12
group like terms
5x^2+28x+49=1258.12
subtract 1258.12 from both sides
5x^2+28x-1209.12=0
factor 5(x-13.0008)(x+18.6008)=0
therefore
(x-13.0008) or/and (x+18.6008)=0
x-13.0008=0
add 13.0008 to both sides
x=13.0008

x+18.6008=0
subtract 18.6008 from both sides
x=-18.6008
since heights cannot be negative, this solution can be discarded

so x=13.0008
2x=height=26.0016

On a finance exam, 15 accounting majors had an average grade of 90. On the same exam, 7 marketing majors averaged 85, and 10 finance majors averaged 93. What is the weighted mean for all 32 students taking the exam?

Answers

Answer:

89.84375

Step-by-step explanation:

Given that on a finance exam, 15 accounting majors had an average grade of 90. On the same exam, 7 marketing majors averaged 85, and 10 finance majors averaged 93.

To find weighted mean.

Here weights can be considered as number of majors in each subject

$Marks x 90 85 93\nWeights 15 7 10\nProduct 1350 595 930\n$

Weighted total = 1350+595+930 = 2875

Weighted mean = weighted total/total students

$=(2875)/(32) =89.84375$

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