Tell me how to do this with the work please

Solve for c.<br> 6c + 14 = -50+ 4+9c

lora16 [44]

Answer:

c=+20

Step-by-step explanation:

6c+14=-50+4+9c

move all terms to the left

6c+14-(-50+4+9c)=0

add all the numbers and variables together

6c-(9c-46)+14=0

We get rid of parentheses

6c-9c+46+14=0

add all the numbers and variables together

-3c+60=0

move all terms containing c to the left, all other terms to the right

-3c=-60

c=-60/-3

c=+20

Hope this helps!!!

4 0

4 years ago

Read 2 more answers

Algebra 1 Midterm 2021-2022

abruzzese [7]

The answer would be 4! All I did was use a calculator to graph it and it showed

5 0

3 years ago

Please help!<br><br> Please please please

scoray [572]

Answer:

For x ≥ 2, the graph will be a straight line parallel to x-axis and having equation y = - 3

And for x < 2 will be a straight line having equation y = x i.e. the graph makes 45° angle with the positive x-axis and passing through the origin.

Step-by-step explanation:

The piece wise function g(x) is given by

g(x) = x if x < 2 and g(x) = - 3 if x ≥ 2.

Now, the graph has two parts, one for x ≥ 2 and another for x < 2.

Here, for x ≥ 2, the graph will be a straight line parallel to the x-axis and having equation y = - 3

Again, the graph for x < 2 will be a straight line having equation y = x i.e. the graph makes 45° angle with the positive x-axis and passing through the origin. (Answer)

6 0

3 years ago

PLEASE HELP HURRY!!!!!!!

Charra [1.4K]

As it has been given that $x=4+5i$ , $y=2-9i$ .

We need to find the value of the following:

(i) $4x-y$ , substituting the value of 'x' and 'y' in the expression, we get:

$4(4+5i)-(2-9i)=4\times 4+4\times 5i-2+9i=16+20i-2+9i$

$=14+29i$

So, $4x-y=14+29i$

(ii) $-x+3y$ , substituting the value of 'x' and 'y' in the expression, we get:

$-(4+5i)+3(2-9i)=-4-5i+3\times 2-3 \times 9i=-4-5i+6-27i$

$=2-32i$

So, $-x+3y=2-32i$

(iii) $x \times y$ , we need to substitute the value of 'x' and 'y' in the expression, for this, we can use distributive property of multiplication that says,

$a(b+c)=a \times b+ a \times c$

Using the distributive property of multiplication:

$(4+5i)\times(2-9i)=4 \times 2-4 \times 9i+5i \times 2-5i \times 9i$

$=8-36i+10i-45i^2$

Now, we know that $i \times i=i^2=-1$

We get, $8-36i+10i-45 \times (-1)=8-26i+45$

$=8+45-26i=53-26i$

Therefore, $x \times y$ = $53-26i$ .

(iv) We have, $2x \times y$ , we need to substitute the value of 'x' and 'y' in the expression, we get:

$2(4+5i)\times (2-9i)$

Again, we can use distributive property of multiplication that says,

$a(b+c)=a \times b+ a \times c$

So,

$2(4+5i) \times (2-9i)=2\times 4+2 \times 5i\times(2-9i)$

$=8+10i \times(2-9i)=8\times 2-8 \times 9i+10i \times 2-10i \times 9i$

$=16-72i+20i-90i^2$

since, $i^2=-1$

we get,

$16-72i+20i-90 \times (-1)=16-52i+90$

$=106-52i$

Therefore,

$2x \times y=106-52i$

7 0

4 years ago

Read 2 more answers

Your friend and your cousin discuss measuring with a ruler. Your friend says that you must always line up objects at the zero on

Maurinko [17]

Answer:

Your friend is correct.

Step-by-step explanation:

It is given that your friend says that you must always line up objects at the zero on a ruler. Your cousin says it does not matter.

We need to decide who is correct.

When we measure the length of any object we have to line up objects at the zero on a ruler, so that mark on the rules along the other end of the object represents the length of the object.

Let we have a pencil of length 5 cm.

If we place the rules on 0, then 5 is the mark on the rules along the other end of the pencil. So, height of the pencil is 5 cm.

If we place the rules on 1, then 6 is the mark on the rules along the other end of the pencil. So, height of the pencil is 6 cm, which is not correct.

Therefore, your friend is correct.

7 0

3 years ago