Question 1. (3 points) a. Show that the ratios 14/18 and 28/36 form a proportion by finding a
common multiplier.

b. Show that 14/18 and 28/36 are equal by writing them in simplest
form.

Question 2. (4 points)
Find the unit price. Which is the better buy? Explain.
Electrical wire:
$1.89 for 3 ft.
$0.89 for 18 in.
(Remember 1 ft. = 12 in.)

Question 3. (2 points)
A recipe for 30 cookies calls for 4 tablespoons of sugar. If you
make 40 cookies and use 5 tablespoons of sugar, will the
cookies taste the same? Explain.

Question 4. (3 points)
A package of spaghetti weighs 238 grams. How many ounces
does the package weigh? 1 oz = 28 g.

Question 5. (8 points)
The triangles are similar.
a. Find y using the ratio of the sides 6 cm and 8 cm:
y/24 = 68
b. Find y using the ratios of the sides 15 cm and 20 cm.

answer: yes, since the line has a steeper rate of change than the exponential the y-values will be greater and they will only intersect one time.

the correct option is:

b. a value of the variable that makes the polynomial equal to zero.

the root or roots of a polynomial are the values of the variable that makes the polynomial equal to 0. we can find the roots of a polynomial making the expression equal to 0 and then, isolating the variable (it it has just one variable).

for example, given the following polynomial:

the root or zero of the polynomial, can be found by making the expression equal to 0, and then, isolating the variable, so, finding the root we have:

therefore, we have that the root of the polynomial is equal to 2.

we must remember that the number of roots that a polynomial can have, will depend on the degree of the polynomial, a first degree polynomial have will have one single root, a second degree polynomial (quadratic expression) may have two roots and so.

hence the correct option is:

b. a value of the variable that makes the polynomial equal to zero.

have a nice day!

the image is given below

since the options are not given so we draw it from the equation

the given equation is

y = (x-1) (x+4)

y = y² + 3x - 4

the above equation is a quadratic equation which will have two roots. if we draw the graph for it, it will look like this

this is a good question! i’ll do some research and what i find, i’ll contact you asap when i have something! ✊