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svet-max [94.6K]
3 years ago
13

Given f(x) = 17x - 18, find x when f(x) = 33.

Mathematics
2 answers:
Vladimir79 [104]3 years ago
7 0

Answer:

f(x) = 17x - 18

y=17x-18

y=17(33)-18

y=561-18

y=543

f(x)=543

Step-by-step explanation:

Crazy boy [7]3 years ago
7 0

Answer:

x = -3

Step-by-step explanation:

Plug in 33 for f(x) into the first equation:

33 = 17x - 18

17x = -51

x = -3

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Penelope determined the solutions of the quadratic function by completing the square. F(x) = 4x2 8x 1 –1 = 4x2 8x –1 = 4(x2 2x)
Ymorist [56]

By solving the quadratic equation using completing the square method we got that Penelope should have added 4 to both sides instead of adding 1.

<h3>What is quadratic equation ?</h3>

Any equation of the form ax^2+bx+c=0 where x is variable and a, b, and c are any real numbers where a ≠ 0 is called quadratic equation .

Given work of Penelope is

$$\begin{aligned}&f(x)=4 x^{2}+8 x+1 \\&-1=4 x^{2}+8 x \\&-1=4\left(x^{2}+2 x\right) \\&-1+1=4\left(x^{2}+2 x+1\right) \\&0=4(x+2)^{2} \\&0=(x+2)^{2} \\&0=x+2 \\&-2=x\end{aligned}$$

Now we can see that Penelope determined the solutions of the quadratic function by completing the square. so he must have been done as following

$$\begin{aligned}&f(x)=4 x^{2}+8 x+1 \\&-1=4 x^{2}+8 x \\&-1=4\left(x^{2}+2 x\right) \\&-1+4=4\left(x^{2}+2 x+1\right) \\&3=4(x+2)^{2} \\&\frac{3}{4} =x+2)^{2} \\&\frac{\pm\sqrt3}{2} =x+2 \\&\frac{-2\pm\sqrt3}{2} =x\end{aligned}$$

By solving the quadratic equation using completing the square method we got that Penelope should have added 4 to both sides instead of adding 1.

To learn more about quadratic equations visit : brainly.com/question/1214333

8 0
2 years ago
Someone please help asap
andrew-mc [135]

Answer:

the second one

Step-by-step explanation:

because g(x) and f(x) is bout the same

6 0
3 years ago
What is the value of x in the figure below
kari74 [83]
Answer: X=30



Hope that helped!!!
8 0
3 years ago
Only do question 4<br><br> 50 points<br><br> Topic: Percentage
Sergeu [11.5K]

Answer:

a 1

b 6

c 15

Step-by-step explanation:

101% 101/100 = 1 1/100

is 1  complete 100 grid and 1/100 of another grid so you will need 2 grids

589% 589/100 = 5 89/100

is 5 complete 100 grids and 89/100 of another grid so you will need 6 grids

1450% 1450/100 = 14 50/100

is 14 complete grids and 50/100 of another grid so you will need 15 grids

4 0
3 years ago
What is the answer in substiution y=2x-9 and y=3
ale4655 [162]

Answer:

x= -6

Step-by-step explanation:

7 0
1 year ago
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