Answer:
x = -3
Step-by-step explanation:
5 = x + 8
You need to get x by Itself so subtract 8 to both sides.
5 - 8 = -3
so therefore x = - 3
Answer:
Prime numbers are numbers that cannot be divided into further whole numbers. You cannot divide 19 and 13 because 13 and 19 are already prime numbers.
Step-by-step explanation:
We are given the following:
- parabola passes to both (1,0) and (0,1)
<span> - slope at x = 1 is 4 from the equation of the tangent line </span>
<span>First, we figure out the value of c or the y intercept, we use the second point (0, 1) and substitute to the equation of the parabola. W</span><span>hen x = 0, y = 1. So, c should be equal to 1. The</span><span> parabola is y = ax^2 + bx + 1 </span>
<span>Now, we can substitute the point (1,0) into the equation,
</span>0 = a(1)^2 + b(1) + 1
<span>0 = a + b + 1
a + b = -1 </span>
<span>The slope at x = 1 is equal to 4 which is equal to the first derivative of the equation.</span>
<span>We take the derivative of the equation ,
y = ax^2 + bx + 1</span>
<span>y' = 2ax + b
</span>
<span>x = 1, y' = 2
</span>4 = 2a(1) + b
<span>4 = 2a + b </span>
So, we have two equations and two unknowns,<span> </span>
<span>2a + b = 4 </span>
<span>a + b = -1
</span><span>
Solving simultaneously,
a = 5 </span>
<span>b = -6</span>
<span>Therefore, the eqution of the parabola is y = 5x^2 - 6x + 1 .</span>
Answer:
(C) Q1: 55.5 Q2: 110 Q3: 295
Step-by-step explanation:
Given the dataset:
There are 25 items in the dataset.
To find Q2, We divide it into two equal parts and consider the middle term
Therefore: Q2 =110
Q1 = the median of the lower half of the data set.
Q3 = is the median of the upper half of the data set.
In the lower half of the data
Since there are even number of terms,
Median = (55+56)/2=55.5
Therefore: Q1=55.5
In the upper half of the data
Since there are even number of terms,
Median = (239+351)/2=295
Therefore: Q3=295
Q1: 55.5, Q2: 110, Q3: 295
The correct option is C.
Answer:
f(x)= -2x-3, im so sorry if this is wrong
Step-by-step explanation:
to translate it left you have to add 2
