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Alex73 [517]
3 years ago
11

Mariah spent $9.50 on 9 pounds of limes and pears. Limes cost $0.50 per pound and pears cost $1.50 per pound. Let l be the numbe

r of pounds of limes and let p be the number of pounds of pears. Which system of linear equations models the scenario?
Mathematics
1 answer:
madam [21]3 years ago
5 0
L = limes, P = pears

L + P = 9
0.50L + 1.50P = 9.50
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F(x) = 9x - 1.1; x = -2.4
STatiana [176]

Answer:

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5 0
3 years ago
Find the rate of change and initial value. Y=mx+b
tekilochka [14]
Y= 4/5 x + 24
To find the rate of change you find the difference in each of the numbers on the graph. For example, 36-32 is 4. So 28-4 is 24 and that would be the next number down. It would also match x to be 0 because since the rate of change for x was 5, if you subtract 5 from 5 you get 0. So from this we know that the coordinates would be 0,5.
From this info, the slope would be 4/5 and the y intercept or initial value would be 24
4 0
3 years ago
When factoring a polynomial in the form ax2 + bx + c, where a, b, and c are positive real numbers, should the signs in the binom
gtnhenbr [62]

When factoring a polynomial in the form ax2 + bx + c, where a, b, and c are positive real numbers, the signs in the binomials should be both positive

<h3>What are quadratic equations?</h3>

Quadratic equations are second-order polynomial equations and they have the form y = ax^2 + bx + c or y = a(x - h)^2 + k

<h3>How to determine the true statement?</h3>

The form of the polynomial is given as:

ax2 + bx + c

Where a, b, and c are positive real numbers.

Since a, b, and c are positive real numbers. then the form of the expansion would be:

ax2 + bx + c = (dx + e)(fx + g)

<h3>Example to verify the claim</h3>

Take for instance, we have the following quadratic equation

x^2 + 6x +  8

Expand the equation

x^2 + 6x +  8 = x^2 + 4x + 2x +  8

Factorize the equation

x^2 + 6x +  8 = (x + 2)(x + 4)


Hence, the signs in the binomials should be both positive

Read more about polynomials at:

brainly.com/question/4142886

#SPJ1

5 0
1 year ago
A right rectangular prism has a length of 10 centimeters, a width of 2.5 centimeters and a height of 0.9 centimeters what is the
nikdorinn [45]

Answer:

\boxed{ \bold{ \huge{ \boxed{ \sf{22.5 \:  {cm}^{3} }}}}}

Step-by-step explanation:

Given,

Length of a rectangular prism ( l ) = 10 cm

Width of a rectangular prism ( w ) = 2.5 cm

Height of a rectangular prism ( h ) = 0.9 cm

Volume of a rectangular prism ( V ) = ?

<u>Finding </u><u>the</u><u> </u><u>volume</u><u> </u><u>of</u><u> </u><u>a</u><u> </u><u>rectang</u><u>ular</u><u> </u><u>prism</u>

\boxed{ \bold{ \sf{volume \: of \: a \: rectangular \: prism = lwh}}}

\dashrightarrow{ \sf{volume = 10 \times 2.5 \times 0.9}}

\dashrightarrow{ \sf{volume = 22.5 \:  {cm}^{3} }}

Hope I helped!

Best regards! :D

7 0
3 years ago
50 POINTS !!<br><br><br> PLEASE HELP !! ILL GIVE BRAINLIEST TO THE RIGHT ANSWERS.
maks197457 [2]

Answer:

16

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right<u> </u>

Equality Properties

  • Multiplication Property of Equality
  • Division Property of Equality
  • Addition Property of Equality
  • Subtraction Property of Equality<u> </u>

<u>Trigonometry</u>

[Right Triangles Only] Pythagorean Theorem: a² + b² = c²

  • a is a leg
  • b is another leg
  • c is the hypotenuse<u> </u>

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify variables</em>

Leg <em>a</em> = <em>a</em>

Leg <em>b</em> = 12

Hypotenuse <em>c</em> = 20

<u>Step 2: Solve for </u><em><u>a</u></em>

  1. Substitute in variables [Pythagorean Theorem]:                                            a² + 12² = 20²
  2. Evaluate exponents:                                                                                         a² + 144 = 400
  3. [Subtraction Property of Equality] Isolate <em>a</em> term:                                           a² = 256
  4. [Equality Property] Square root both sides:                                                    a = 16
3 0
3 years ago
Read 2 more answers
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