Answer:
she did not make a mistake
Step-by-step explanation:
Step-by-step explanation:
Part A:
4x² - 7x - 15
a, b, c = 4, -7, -15
ac = -60
factors that add up to -7 and multiply to -60 are (-12, 5)
rewrite equation
(4x² - 12x) + (5x - 15)
factor out GCF from both groups
4x(x - 3) + 5(x - 3)
(4x+5)(x-3)
Part B:
Using the factored form from the previous part we can set both factors equal to 0 to solve for x.
4x+5 = 0
4x = -5
x = -5/4
x-3 = 0
x = 3
the two x-intercepts are -5/4 and 3
Part C:
Since the leading coefficient is positive, the right side of the function will be going up or to positive infinity as x goes towards positive infinity. Since the degree is even both sides go in the same direction so on the left side it also goes towards positive infinity as x goes towards negative infinity.
It is a pronoun that is used to replace a previously mentioned noun or is used to identify a person.
Answer:
1/36
Step-by-step explanation:
When the coefficient is 1, the function has zeros at -3 and -5, one horizontal unit from the vertex. You want to move the zero to (2, 0), which is 6 units from the vertex. To achieve a horizontal stretch by a factor of 6, the value of x in the function must be replaced by x/6. That would make the coefficient of x^2 be (1/6)^2 = 1/36.
The coefficient of the squared term is 1/36.
Answer:
M = - 19/2 or in decimal form - 9.5
Step-by-step explanation:
1. Subtract
4 from both sides.
M/3 = 5/6 - 4
2. Simplify
5/6
− 4 to −19/6
3. Multiply both sides by
3.
M = - 19/6 x 3
4. Simplify 19/6 × 3 to 57/6
M = -57/6
5. Simplify 57/6 to 19/2
M = - 19/2
