Solution:
- (x² + x – 12)(x² + 10x + 25)
- => (x⁴ + 10x³ + 25x²) + (x³ + 10x² + 25x) + (-12x² - 120x - 300)
- => x⁴ + 10x³ + 25x² + x³ + 10x² + 25x - 12x² - 120x - 300
- => x⁴ + (10x³ + x³) + (25x² + 10x² - 12x²) + (25x - 120x) - 300
- => x⁴ + (11x³) + (23x²) + (-95x) - 300
- => x⁴ + 11x³ + 23x² - 95x - 300
The only term that has a x-variable is "-95x".
The coefficient of x is -95.
1. d
x-intercept (y=0) is -4
y-intercept (x=0) is 8
2. d
x-intercept (y=0) is 16
y-intercept (x=0) is 20
3. b
y=1/6x+4
multiplied by 6
6y=x+24
-x+6y=24
4. a 4.75k+2.25p=22
The point-slope equation of the line is 
Step-by-step explanation:
The form of the point-slope equation is
, where
- m is the lope of the line
is a point lies on the line
The slope of a line
, where
and
are two points on the line
∵ The line through (2 , 3) and (7 , 4)
∴
= 2 and
= 7
∴
= 3 and
= 4
- Substitute these value in the rule of the slope
∵ 
∴ the slope of the line is 
Let us substitute the value of the slope and the coordinates of point
in the form of the equation
∵ 
∵
= 2 and
= 3
∵ 
∴ 
The point-slope equation of the line is 
Learn more:
You can learn more about the linear equation in brainly.com/question/12941985
#LearnwithBrainly
Answer: d
Step-by-step explanation:
44,4 - (-0,4) = 44,4 + 0,4= 44,8
Answer:
Each hotdog costs $1.65
Each juice drink costs $1.05
Step-by-step explanation:
Let's begin by letting
represent the number of hot dogs and
the number of juice drinks.
The Baxter family bought 6 hot dogs and 4 juices for $14.10.

The Farley family bought 3 hot dogs and 4 juices for $9.15.

Now, we subtract these equations.

Since
has reversed coefficients, it gets eliminated. Now solve for x.



NOW, we find y by substituting x with 1.65 (in either equation).
We'll use the first equation.




= 1.65
= 1.05
represents hotdogs and
represents juice drinks.
Therefore, each hotdog costs $1.65 and each juice drink costs $1.05.
<em> I hope this helps! :)</em>