Answer:
see explanation
Step-by-step explanation:
given the 2 equations
y = x² - 2x - 19 → (1)
y + 4x = 5 → (2)
substitute y = x² - 2x - 19 into (2)
x² - 2x - 19 + 4x = 5 ( subtract 5 from both sides )
x² + 2x - 24 = 0 ← in standard form
(x + 6)(x - 4) = 0 ← in factored form
equate each factor to zero and solve for x
x + 6 = 0 ⇒ x = - 6
x - 4 = 0 ⇒ x = 4
substitute each value of x into (1) for corresponding y- coordinate
x = - 6 : y = (- 6)² - 2(- 6) - 19 = 36 + 12 - 19 = 29 ⇒ (- 6, 29)
x = 4 : y = 4² - 2(4) - 19 = 16 - 8 - 19 = - 11 ⇒ (4, - 11)
the solutions are (- 6, 29), (4, - 11)
The value (y2) of r = 1/2.
This question relates to equation of a straight line but we are looking for the slope in this case.
<h3>Slope</h3>
This is the ratio to which we measure the change along the y-axis to the change along the x-axis. The formula is given as

Data given;
- x1 = 3
- x2 = -3
- y1 = 5
- y2 = r
- m = 34 or 3/4
Substitute the values into the equation and solve for the unknown
NB; we are assuming that the slope here is 34 and not 3/4.

cross multiply both sides and make r the subject of formula

the value of r = -199.
This is not mathematically obtainable and we would use 3/4 as the value of slope

The most logical value of r = 1/2
Learn more on slope here;
brainly.com/question/4074386
Answer:
C
Step-by-step explanation:
The amount she has in hand, she can make 4 loaves of bread and 2 batches of muffins.
Hope this will help a lot!