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Inessa [10]
3 years ago
14

Given the equation f(x) = (x + 3)2 – 8, fill in the blanks:

Mathematics
1 answer:
Neko [114]3 years ago
4 0
Quadratic f(x) = (x -h)² +k has vertex (h, k) and axis of symmetry x=h. When k is negative, the number of real solutions is 2, because both branches of the function cross the x-axis.

In your equation, h = -3 and k = -8.

Axis of symmetry: x = -3
Vertex: (-3, -8)
Number of real solutions: 2

You might be interested in
On a number line, show all points whose coordinates satisfy the following inequalities: |x−20|<5
VLD [36.1K]

Answer:

On the number line integers from 16 to 24 is the answer.

4 0
3 years ago
Read 2 more answers
In 1998, Cathy's age is equal to the sum of the four digits in the year of her birthday, then how old was Cathy in 1998?
ycow [4]

Answer:

<em>Cathy was born in 1980 and she was 18 years old in 1998</em>

Step-by-step explanation:

<u>Equations</u>

This is a special type of equations where all the unknowns must be integers and limited to a range [0,9] because they are the digits of a number.

Let's say Cathy was born in the year x formed by the ordered digits abcd. A number expressed by its digits can be calculated as

x=1000a+100b+10c+d

In 1998, Cathy's age was

1998-(1000a+100b+10c+d)

And it must be equal to the sum of the four digits

1998-(1000a+100b+10c+d)=a+b+c+d

Rearranging

1998=1001a+101b+11c+2d

We are sure a=1, b=9 because Cathy's age is limited to having been born in the same century and millennium. Thus

1998=1001+909+11c+2d

Operating

88=11c+2d

If now we try some values for c we notice there is only one possible valid combination, since c and d must be integers in the range [0,9]

c=8, d=0

Thus, Cathy was born in 1980 and she was 18 years old in 1998. Note that 1+9+8+0=18

5 0
4 years ago
X + 3/ 5 = 2<br> -5<br> -3<br> 7<br> 13
ahrayia [7]
X 3/5 =2x+15=2x=15-2x=13


answer 13
4 0
3 years ago
Trey evaluated 12/15 + 1/10 and got the answer of 13/25. which statement is true about this answer?
Ganezh [65]

Answer:

Option C. His answer is not correct, because the same can not be less than either attend

Step-by-step explanation:

we have

\frac{12}{15}+\frac{1}{10} =\frac{13}{25}

we know that

\frac{12}{15}=0.8

\frac{1}{10}=0.10

\frac{13}{25}=0.52

substitute

0.80+0.10=0.52 ----> is not true

therefore

His answer is not correct, because the same can not be less than either attend

6 0
3 years ago
Hey can you please help me with this
Tasya [4]

x=-11

Hope this helps :T

8 0
3 years ago
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