Answer:
Exact Form: 25/4
Decimal Form: 6.25
Mixed number form: 6 1/4
Step-by-step explanation:
8-7i/4i
Cancel the common factor of i
8 - 7/4
To write 8 as a fraction with a common denominator, multiply by 4/4
8 x 4/4 - 7/4
combine 8 and 4/4
8 x 4 over 4 - 7/4
Combine the numerators over the common denominator.
8 x 4 - 7 over 4
Simplify the numerator.
25/4
Exact Form: 25/4
Decimal Form: 6.25
Mixed number form: 6 1/4
f(x) =2x-4 and g(x) =-3x+2 find: f(g(x))
Answer:
[tex]f(g(x))=-6x[/tex]
Step-by-step explanation:
Composite Function
Given f(x) and g(x) as real functions, the composite function named [tex](f\circ g)(x)[/tex] is defined as:
[tex](f\circ g)(x)=f(g(x))[/tex]
It can simply be found by substituting g into f.
Our functions are:
[tex]f(x)=2x-4[/tex]
[tex]g(x)=-3x+2[/tex]
Substituting g into f:
[tex]f(g(x))=2(-3x+2)-4[/tex]
Operating:
[tex]f(g(x))=-6x+4-4[/tex]
Simplifying:
[tex]\boxed{f(g(x))=-6x}[/tex]
WILL MARK BRAINLIEST. Can someone help me wit des 4 questions? SHOW UR WORK FOR EACH QUESTION
1.) 5(2x+6)=8x+48
2.) -3(8+3h)=5h+4
3.) 2(y-6)=3(y-4)-y
4.) 8x-4=2(4x-4)
Answer:
1. [tex]x[/tex] = 9
2. [tex]h[/tex] = 2
3. Infinitely Many Solutions
4. No solution
Step-by-step explanation:
Hey there! I will give the following steps, if you have any questions feel free to ask me in the comments below.
1.) 5(2[tex]x[/tex] + 6) = 8[tex]x[/tex] + 48
Step 1: Expand.
10[tex]x[/tex] + 30 = 8
Step 2: Subtract 30 from both sides.
10[tex]x[/tex] = 8
Step 3: Simplify 8[tex]x[/tex] + 48 − 30 to 8[tex]x[/tex] + 18.
10[tex]x[/tex] = 8
Step 4: Subtract 8[tex]x[/tex] from both sides.
10[tex]x[/tex] − 8
Step 5: Simplify 10[tex]x[/tex] − 8[tex]x[/tex] to 2[tex]x[/tex].
2[tex]x[/tex] = 18
Step 6: Simplify [tex]\frac{18}{2}[/tex] to 9.
[tex]x[/tex] = 9
2.) −3(8 + 3[tex]h[/tex]) = 5[tex]h[/tex] + 4
Step 1: Expand.
−24 − 9[tex]h[/tex] = 5
Step 2: Add 24 to both sides.
−9[tex]h[/tex] = 5
Step 3: Simplify 5[tex]h[/tex] + 4 + 24 to 5[tex]h[/tex] + 28.
−9[tex]h[/tex] = 5
Step 4: Subtract 5[tex]h[/tex] from both sides.
−9[tex]h[/tex] − 5
Step 5: Simplify −9[tex]h[/tex] − 5[tex]h[/tex] to −14[tex]h[/tex].
−14[tex]h[/tex] = 28
Step 6: Divide both sides by −14.
[tex]h[/tex] = [tex]-\frac{28}{14}[/tex]
Step 7: Simplify [tex]\frac{28}{14}[/tex] to 2.
[tex]h[/tex] = 2
3.) 2([tex]y[/tex] − 6) = 3([tex]y[/tex] − 4) − [tex]y[/tex]
Step 1: Expand.
2[tex]y[/tex] − 12 = 3
Step 2: Simplify 3[tex]y[/tex] − 12 − [tex]y[/tex] to 2[tex]y[/tex] − 12.
2[tex]y[/tex] − 12 = 2 − 12
Step 3: Since both sides equal, there are infinitely many solutions.
Infinitely Many Solutions
4.) 8[tex]x[/tex] − 4 = 2(4[tex]x[/tex] − 4)
Step 1: Expand.
8[tex]x[/tex] − 4 = 8
Step 2: Cancel 8[tex]x[/tex] on both sides.
−4 = −8
Step 3: Since −4 = −8 − 4 = −8 is false, there is no solution.
No solution
~I hope I helped you! Good luck :)~
The price at an item has been reduced by $3.49. The original price was $66.75. What is the price now?
Answer:
i need help
Step-by-step explanation:
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Find the linear equation with
Slope= 2/3
y-intercept = 1
Answer:
I believe the answer would be using the form of y= mx+b, b is y intercept and slope is m. It would end up looking like y= 2/3x+1
Step-by-step explanation:
I think this is how a linear equation looks like but I'm a little rusty. If you have notes it probably says what I already stated. Good luck! :)
Evaluate:
a) 53.24 ÷ 9.351
Answer:
5.693508715645386
Step-by-step explanation:
Answer:
Answer is 5.69350871565
Step-by-step explanation:
make x the subject of y=alog(5x)
Answer:
x = 0.2(10^y/a).
Step-by-step explanation:
y = alog(5x)
y = log(5x)^a) By the definition of a log:
(5x)^a = 10^y
5x = (10^y) ^ 1/a
x = 0.2(10^y/a)
what is the answer for this equation
-12 = x + 3
Answer:
-15
Step-by-step explanation:
-12-3=x
-15=x
x=-15
Answer:
X = -15
Step-by-step explanation:
-12 = x + 3
- 3 - 3
-----
-15 = x
I hate to ask, but please give me Brainliest. I need it to level up <3.
A - Z = X
Solution the equation to find the required variable.
Answer:
A - Z = X
A - Z + Z = X + Z
A = X + Z
David has two jobs. He earns $8 per hour babysitting his neighbor's children and he earns $11 per hour working at the coffee shop. If David worked 15 hours at the coffee shop, write an inequality to represent the number of hours, x, babysitting that David will need to work to earn a minimum of $200. Use the inequality to find the number of full hours he must babysit to reach his goal of $200.
Answer:
The number of full hours he must babysit to reach his goal of $200 is 5 hours
Step-by-step explanation:
Let x be the no. of hours he must babysit to reach his goal of $200.
Cost for working 1 hour at coffee shop = $11
Cost for working 15 hour at coffee shop = [tex]11 \times 15=165[/tex]
Cost for working 1 hour babysitting = $8
Cost for working x hour babysitting = 8x
We are supposed to find the number of full hours he must babysit to reach his goal of $200.
165+8x=200
8x=200-165
[tex]x=\frac{200-165}{8}[/tex]
x=4.375
Hence The number of full hours he must babysit to reach his goal of $200 is 5 hours
I went ____ the store. Jennifer wanted to go, ____. fill in will make brainiest
I went to the store. Jennifer wanted to go, too.
can u help, its vertical angles
Answer:
85 + 95=180
Step-by-step explanation:
just subtract 85 from 180 to get x
Geometry software
for Exercise 12
Without using a protractor, but with the aid of your two new conjectures,
find the measure of each lettered angle in Exercises 1-5. Copy the diagrams
so that you can write on them. List your answers in alphabetical order.
1.
2.
3.
a b
C60
b
40
51°
b
a
52
d
1. Convert 23,400 g into milliliters
Answer:same number i think
Step-by-step explanation:
On Monday Jim had -$20 in his bank account. On Tuesday Jim had -$60 in his bank account. What was the change in Jim's account?
Answer:40
Step-by-step explanation:
A bag contains 20 counters. 12 of the counters are green. A counter is picked at random. What is the probability that it is green? Give you answer as a fraction.
Answer:
12/20 since the counter of green is of 12 out of 20 to be drawn.
can someone help me pleaassee
Answer:
The slope is 1/4.
Step-by-step explanation:
M = Y2 - Y1
X2 - X1
M = 6 - 2
9 - (-7)
M = 4
16
M = 1
4
Given the relation A = {(5,2), (7,4), (9,10), (x, 5)}. Which of the following values for x will make relation A a function?
9
4
7
Which is the graph of y=2x-3?
Graph B
Graph C
Graph A
Answer:
its a
Step-by-step explanation:
Please help I would really appreciate it
Answer:
alternate exterior
Help me please and thanks
Answer:
Step-by-step explanation:
A.
X is greater than negative eight and less than eight and the dots are marking the numbers on the number line
True or False: In order to solve the equation below, you would add 6 to each side then
multiply by 8 on each side.
g/8- 6 = -12
Which relation is a function?
Answer:
D
Step-by-step explanation:
To find out whether a graph is a function or not, you can use the vertical line test, which means if you were to draw a vertical line on the graph at any point, if it would cross over 2 lines, it's not a function. D is the only graph that wouldn't fail the vertical line test.
G(-1) = -1^2 - 5x + 2
Answer:
=6
Step-by-step explanation:
-1^2 - 5(-1) + 2
-1 - (-5) + 2
-1 +5 + 2
6
Answer:
g=5x−1
Step-by-step explanation:
Let's solve for g.
g(−1)=−12−5x+2
Step 1: Divide both sides by -1.
−g
−1
=
−5x+1
−1
g=5x−1
Answer:
g=5x−1
How many sevenths are there in two whole?
Answer: 14
Step-by-step explanation:
I’m so sorry when I asked my question before the picture didn’t load so here is what I needed help with. So sorry
Answer: 3.75
Step-by-step explanation:
Hope this helps
Six friends arrive at a party their arrival increases the number of people at the party by 20% in total how many people are now at the party
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
Suppose that the number of the people in the party is :
[tex]x[/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
20 % of x equals :
[tex] \frac{20}{100} \times x = 0.2x \\ [/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
Thus ;
[tex]0.2x = 6[/tex]
[tex] \frac{2}{10}x = 6 \\ [/tex]
Multiply sides by 10
[tex]10 \times \frac{2}{10} x = 10 \times 6 \\ [/tex]
[tex]2x = 60[/tex]
Divided sides by 2
[tex] \frac{2}{2} x = \frac{60}{2} \\ [/tex]
[tex]x = 30[/tex]
There were 30 people in the party.
Thus there are ;
[tex]30 + 6 = 36[/tex]
People at the party now.
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
Which ratio below is proportional to the ratio 5/6?
help me :(
Answer:
25/30
Step-by-step explanation:
simplify 25/30 by dividing both number by 5, and you'll get 25/5 = 5 and 30/5 = 6;
Hence 25/30 is the same as 5/6 proportionally
Help will name brainiest.
Answer:
the first is 26 and the second is 84.5 or 84 or 85 depending or if you need to round it and whether you round up or down
Answer:
26 cups of flour for the first pizza, 2 pizza's made with 13 cups of flour
Step-by-step explanation:
One Pizza uses 6.5 cups of flour (divide 39/6)
For the second fill in the blank, multiply 6.5*4 to get 26
For the last one, divide 13 by 6.5 to get 2
Hope this helps!
What is the y-intercept in this problem?
Answer:
y = -3
Step-by-step explanation:
The y-intercept is where the graph crosses the y-axis. The graph is seen crossing the y-axis at y = -3, the that y-intercept is at y = -3.
The slope of the graph of the equation Y equals 2X -2 is 2 what is The Y intercept
Answer:
-2
Step-by-step explanation:
the equation of a function/line is y=mx+b where
b is the y intercept
m is the slope