All categories

3 years ago

Can someone help me please

Mathematics

1 answer:

Dimas [21]3 years ago

5 0

Answer:

$g(x)=-x^2-8x-22$

Step-by-step explanation:

Perform the multiplication and addition:

$g(x)=-(x+4)^2-6=-(x^2+8x+16)-6=-x^2-8x-16-6\\\\g(x)=-x^2-8x-22$

_____

Comment on the squaring

There are several ways you can find the square (x+4)².

Use your knowledge that (x+a)² = x²+2ax+a².
Use FOIL* to compute (x+4)(x+4) = x² +4x +4x +4² = x²+8x+16
Use the distributive property: (x+4)(x+4) = x(x+4) +4(x+4) = x² +4x +4x +4² (same as FOIL for two binomials)

* FOIL is mnemonic for {First, Outer, Inner, Last} referring to pairs of terms in the factors (x +a)(x +b). The x terms are the First terms. The Outer terms are the first x and b. The Inner terms are "a" and the second x. The Last terms are "a" and "b". You are to form the sum of those pairs of terms to find the product of the binomials.

You might be interested in

Int var1 = 0b0001; int var2 = 0b1111; int results1 = var1 & var2; int results2 = var1 | var2; int results3 = var1 ^ var2; in

Afina-wow [57]

Int var1 = 0b0001;
int var2 = 0b1111;
int results1 = var1 & var2;
int results2 = var1 | var2;
int results3 = var1 ^ var2;
int printit = results1 + results2 + results3;

what are the values for results1, results2, results3 and printit after executing the code?
notes:
1. faster responses will be obtained if your code is presented line by line (in a file) before posting.
2. please specify language, many languages use the same syntax but could have differences in interpretation
-------------------------------------------------------------------------------

Assuming Java as the language. C is similar.
& bitwise AND &
^ bitwise exclusive OR
| bitwise inclusive OR

So
results1=var1&var2=0b0001&0b1111=0b0001
results2=var1|var2=0b0001&0b1111=0b1111
results3=var1^var2=0b0001&0b1111=0b1110
printit=results1+results2+results3=0b0001+0b1111+0b1110
=0b10000+0b1110
=0b11110

Note: by default, int has 4 signed bytes, ranging from decimal -2147483648 to +2147483647

8 0

3 years ago

Represent each of these relations on {1, 2, 3, 4} with a matrix (with the elements of this set listed in increasing order). a) {

Irina-Kira [14]

Answer:

for a a) {(1, 2), (1, 3), (1, 4), (2, 3), (2, 4), (3, 4)}

$\left[\begin{array}{cccc}0&1&1&1\\0&0&1&1\\0&0&0&1\\0&0&0&0\end{array}\right]$

for b

b) {(1, 1), (1, 4), (2, 2), (3, 3), (4, 1)}

$\left[\begin{array}{cccc}1&0&0&1\\0&1&0&0\\0&0&1&0\\1&0&0&0\end{array}\right]$

for c) {(1, 2), (1, 3), (1, 4), (2, 1), (2, 3), (2, 4), (3, 1), (3, 2), (3, 4), (4, 1), (4, 2), (4, 3)}

$\left[\begin{array}{cccc}0&1&1&1\\1&0&1&1\\1&1&0&1\\1&1&1&0\end{array}\right]$

for d d) {(2, 4), (3, 1), (3, 2), (3, 4)}

$\left[\begin{array}{cccc}0&0&0&0\\0&0&0&1\\1&1&0&1\\0&0&0&0\end{array}\right]$

Step-by-step explanation:

in matrix, arrays are placed in rows , which represents the horizontal sides from left to right, while arrays in the column are placed vertically from top to bottom. Here, we placed the arrays in a 4x4 matrix

for a a) {(1, 2), (1, 3), (1, 4), (2, 3), (2, 4), (3, 4)}

$\left[\begin{array}{cccc}0&1&1&1\\0&0&1&1\\0&0&0&1\\0&0&0&0\end{array}\right]$

for b

b) {(1, 1), (1, 4), (2, 2), (3, 3), (4, 1)}

$\left[\begin{array}{cccc}1&0&0&1\\0&1&0&0\\0&0&1&0\\1&0&0&0\end{array}\right]$

for c) {(1, 2), (1, 3), (1, 4), (2, 1), (2, 3), (2, 4), (3, 1), (3, 2), (3, 4), (4, 1), (4, 2), (4, 3)}

$\left[\begin{array}{cccc}0&1&1&1\\1&0&1&1\\1&1&0&1\\1&1&1&0\end{array}\right]$

for d d) {(2, 4), (3, 1), (3, 2), (3, 4)}

$\left[\begin{array}{cccc}0&0&0&0\\0&0&0&1\\1&1&0&1\\0&0&0&0\end{array}\right]$

7 0

3 years ago

How can i find the value of x

alukav5142 [94]

Your equation is correct.

$x+3x+26+34=180\\\\4x+60=180\ \ \ |-60\\\\4x=120\ \ \ |:4\\\\\boxed{x=30}$

6 0

3 years ago

The supreme choice pizza at Pizza Paradise contains 22 different meats and 33 different vegetables. The customer can select any

mash [69]

Answer:

1680 possible pizzas

Step-by-step explanation:

Pizza contains 2 different meat and 3 different vegetables.

If there are 5 meats and 8 vegetables, the customer can select any one of 3 types of crust.

Total number of ways to select meat = 5C2

nCr = n! /(n-r)! r!

5C2 = 5! / (5-2)!2!

= 5! / 3!2!

= 10

Total number of ways to select vegetables = 8C3

= 8!/(8-3)!3!

= 8! / 5!3!

= 56

Total number of pizza choice that can be made = 3 * 5C2 * 8C3

= 3*10*56

= 1680 possible pizza

5 0

3 years ago

The null and alternative hypotheses are given. Determine whether the hypothesis test is left-tailed, right-tailed, or two-tail

aleksandrvk [35]

Answer: The hypothesis test is left-tailed test.

The parameter tested here is population mean.

Step-by-step explanation:

Given : The null and alternative hypotheses are as follows:

$H_0:\mu=6$

$H_1:\mu$

We can see that the parameter tested here is population mean.

Also, the type of test depends on the alternative hypothesis.

Since the alternative hypothesis is left-tailed so the hypothesis test is left-tailed test.

5 0

3 years ago