Answers:
4; 20; 3x² - 4x + 3; 52; 17
Step-by-step explanation:
f(-1): replace x in f(x) = x² + 3 with -1: f(-1) = (-1)² + 3 = 4
f(-4) + g(-1) = (-4)² + 3 + <em>2(-1) + 3</em> = 16 + 3 <em>- 2 + 3</em> = 20 <em>(since g(x) = 2X + 3)</em>
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3f(x) - 2g(x) = 3[x² +3] - 2[2x + 3} = 3x² + 9 - 4x - 6 = 3x² - 4x + 3
f(g(2)): First, evaluate g(2). It is g(2) = 2(2) + 3 = 7. Next, use this output, 7, as the input to f(x): f(g(x)) = (7)² + 3 = 49 + 3 = 52
g(f(2)): First, evaluate f(x) at x = 2: f(2) = (2)² + 3 = 7. Next, use this 7 as the input to g(x): g(f(2)) = g(7) = 2(7) + 3 = 17
Answer:
y=0.2x-20
Step-by-step explanation:
1) the common view of the line in the slope-intercept form is:
y=s*x+i, where s - the value of the slope (it is 0.2 according the condition), i - the value of intercept (to be calculated);
y=0.2*x+i.
2) if to substitute the given coordinates (1.25;-17.5) into the common view, then:
-17.5=1.25*0.2+i;
it is possible to calculate the value of 'i': i= -20.
3) if the slope=0.2, the intercept= -20, then the required equation of the line is:
y=0.2x-20.
Step-by-step explanation:
I would say teach them easy stuff like 5+5 and number problems such as Sarah has 10 apples and takes away five apples,How many apples does Sarah have now?
Answer:
x=0.625
Step-by-step explanation:
-(-2x+1)=9-14x
distribute:
2x-1=9-14x
add 1 to both sides
2x = 10-14x
add 14x to both sides
16x=10
divide by 16 to isolate x
x = 0.625
check:
-(-2(0.625)+1) = 9-14(0.625)
0.25 = 0.25
Answer:
8 units
Step-by-step explanation:
<u>Area of a rectangle</u> = <em>Width</em> multiplied by Length
Substitute in all the known numbers into this formula to get
<u>72</u> = <em>(9)</em> × 
Solve the equation for x, to find out the length
Length of the rectangle =
