Ask question

Ask question

All categories

3 years ago

5

Question: 2

1 answer:

leonid [27]3 years ago

5 0

Answer:

2oopixels×200pixels

You might be interested in

Use substitution to solve the following system of equations.

Diano4ka-milaya [45]

$d+e-f=-3 \\
e=f+d+7 \\
f=2e-6 \\ \\
\hbox{substitute 2e-6 for f in the 2nd equation and solve for e:} \\
e=2e-6+d+7 \\
e=2e+d+1 \ \ \ |-2e \\
-e=d+1 \ \ \ |\times (-1) \\
e=-d-1 \\ \\
\hbox{substitute -d-1 for e in the 3rd equation and solve for f:} \\
f=2(-d-1)-6 \\
f=-2d-2-6 \\
f=-2d-8$

$\hbox{substitute -d-1 for e and -2d-8 for f in the 1st equation and solve for d:} \\
d+(-d-1)-(-2d-8)=-3 \\
d-d-1+2d+8=-3 \\
2d+7=-3 \ \ \ |-7 \\
2d=-10 \ \ \ |\div 2 \\
d=-5 \\ \\ e=-d-1=-(-5)-1=5-1=4 \\ \\
f=-2d-8=-2 \times (-5)-8=10-8=2 \\ \\
\boxed{d=-5} \\ \boxed{e=4} \\ \boxed{f=2} \\
\hbox{answer D}$

5 0

3 years ago

5. The mapping f: xax² + bx + c defined on the set of real numbers is such that f(0) = -4,f(1)-1 and/(-1)= -5. Find a, b and c.

Marrrta [24]

It looks like you're saying

$f(x) = ax^2 + bx + c$

and you're asked to find $a,b,c$ given $f(0)=-4$ , $f(1)=-1$ , and $f(-1)=-5$ .

Evaluate $f$ at the three given points:

$x=0 \implies f(0) = \boxed{c = -4}$

$x=1 \implies f(1) = -1 = a + b + c \implies a+b = 3$

$x=-1 \implies f(-1) = -5 = a - b + c \implies a - b = -1$

$(a+b) + (a-b) = 3 + (-1) \implies 2a = 2 \implies \boxed{a=2}$

$a-b = -1 \implies \boxed{b=3}$

and the mapping is $f(x) = 2x^2 + 3x - 4$ .

5 0

1 year ago

Given f(x) and g(x) = k⋅f(x), use the graph to determine the value of k.

oksian1 [2.3K]

Answer:

-3 is the value of k in g(x)=kf(x)

Step-by-step explanation:

Both functions cross nicely at x=-3 so I'm going to plug in -3 for x:

g(x)=kf(x)

g(-3)=kf(-3)

To solve this for k we will need to find the values for both g(-3) and f(-3).

g(-3) means we want the y that corresponds to x=-3 on the curve/line of g.

g(-3)=-3

f(-3) means we want the y that corresponds to x=-3 on the curve/line of f.

f(-3)=1

So our equation becomes:

g(-3)=kf(-3)

-3=k(1)

-3=k

So k=-3.

8 0

2 years ago

The store offers a 15% military discount. Jack showed his ID card and bought $200 worth of electronics. How much did he pay afte

Klio2033 [76]

$170.00 is what he paid. It was $30.00 off the original price

6 0

2 years ago

Hannah invested $96,000 in an account paying an interest rate of 6\tfrac{1}{2}6 2 1 % compounded quarterly. Evelyn invested $9

victus00 [196]

Answer:

.37 years

Step-by-step explanation:

I did this one in delta math

3 0

2 years ago