Answer:
k = 13The smallest zero or root is x = -10
Step-by-step explanation:
you can write "x^2" to mean "x squared"
f(x) = x^2+3x-10
f(x+5) = (x+5)^2+3(x+5)-10 ... replace every x with x+5
f(x+5) = (x^2+10x+25)+3(x+5)-10
f(x+5) = x^2+10x+25+3x+15-10
f(x+5) = x^2+13x+30
Compare this with x^2+kx+30 and we see that k = 13
Factor and solve the equation below
x^2+13x+30 = 0
(x+10)(x+3) = 0
x+10 = 0 or x+3 = 0
x = -10 or x = -3
The smallest zero is x = -10 as its the left-most value on a number line.
Answer:
a=-8/5
Step-by-step explanation:
(-1/2a-5)=3a+1
To find the opposite of 1/2 a−5, find the opposite of each term.
-1/2a-(-5)= -3a+1
The opposite of −5 is 5.
-1/2a+5=-3a+1
add 3a to both sides
-1/2a+5+3a=1
Combine-1/2and 3a to get 5/2a
5/2a+5=1
Subtract 5 from both side
5/2a=1-5
Subtract 5 from 1 to get −4.
5/2a=-4
Multiply both sides by 2/5 =0.4, the reciprocal of 5/2=2.5.
a=-4x(2/5)
express -4x(2/5)=1.6 as single fraction.
a= -4x2/5
Multiply −4 and 2 to get −8.
a=-8/5
Fraction −8/5 ≈−1.6 can be rewritten as −8/5 =−1.6 by extracting the negative sign.
a=-8/5
Hello there i hope you are having a great day :) Your question: A certain television is advertised as a 50-inch TV (the diagonal length). If the width of the TV is 14 inches, how many inches tall is the TV?
So you would need to used the Pythagorean theorem that would be
c^2 = a^2 + b^2
So this would equal letter C as The hypotenuse of the right angle and also letter A and B are the stands on the triangle so C would equal 50 inches and A and B would equal 14 inches.
Then the Hard bit so you would be,
1) a^2 = c^2 - b^2
2) a = √c^2 - b^2
3) a = 50^2 - 14^2
4) a = √ 2,500 - 196
5) a = √2,304
6) A = 26
So the answer would be 26 Hopefully ❤
