MATHEMATICS HIGH SCHOOL

Which function has real zeros at x = −10 and x = −6?A. f(x) = x2 + 16x + 60
B. f(x) = x2 − 16x + 60
C. f(x) = x2 + 4x + 60
D. f(x) = x2 − 4x + 60

Answers

Answer 1
Answer:

Answer:

Option (a) is correct.

f(x)=x^2+16x+60

Step-by-step explanation:

Given :A function has real zeros at x = −10 and x = −6 .

We have to find the function that has real zeros at x = −10 and x = −6.

Consider real zeros at x = −10 and x = −6.

x = - 10 ⇒ x + 10 = 0

x = - 6 ⇒ x + 6 = 0

Multiply both zeroes, we have,

(x+10)(x+6)

Apply Distributive rule,

(a+b)(c+d)=ac+ad+bc+bd

we have,

(x+10)(x+6)=x^2+10x+6x+60

Simplify, we have,

(x+10)(x+6)=x^2+16x+60

Thus, f(x)=x^2+16x+60

Option (a) is correct.
Answer 2
Answer:

Answer:

A. on edge.

Step-by-step explanation:

king of brainly (2020)

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Point P has coordinates (2,3). Point Q is symmetric to point P with respect to the line x = 4. What are the coordinates of point Q. Im wondering how you solve this. I think it's (3,6) A. (2,5)
B. ( 5,3)
C. (3,6)
D. (6,3

Answers

You are given the first point (2, 3) and a line x = 4. If you go ahead and graph these, it makes it a little more clear when they say that point p is symmetric with point Q with respect to the line x = 4.

Line x = 4 is the line of symmetry, so point Q is reflected across it. Point p has an x value of 2 (2 away from the line of symmetry, so point Q's x value has to be 2 away on the other side... 6. The y value is unchanged so your point is

D. (6, 3)

What is the sum of the first five terms of the geometric sequence in which a1=5 and r=1/5?

Answers

Sum of series of G.P. = Sn = a(1-rⁿ) / 1-r
Here, a = 5
r = 1/5

Substitute their values into the expression:
Sn = 5(1-1/5⁵) / 1 - 1/5
Sn = 5*5/4 [1-1/3125]
Sn = 25/4 [ 3124/3125]
Sn = 781 / 125

In short, Your Answer would be 781/125 in fraction form 
or 6.248 in decimal form

Hope this helps!

Find the equation of the line in the form y=mx+c which is perpendicular to the line y = 3x + 1 and passes through (−3,6) .

Answers

y - y₁ = m(x - x₁)
 y - 6 = ⁻¹/₃(x - (-3))
 y - 6 = ⁻¹/₃(x + 3)
 y - 6 = ⁻¹/₃(x) - ¹/₃(3)
 y - 6 = ⁻¹/₃x - 1
   + 6          + 6
      y = ⁻¹/₃ + 5

Chris needs to make a 500 L of a 35% acidic solution. He has only two of the acidic solutions available, a 25% solution and a 50% solution. How many litres of each acidic solution should he mix? Create a system to solve?

Answers

yes, very fun, not


ok
one way is table or

solutions amount x and y
x+y=500
x=25%
y=50%
0.25x+0.5y=0.35(500)

we have
x+y=500
0.25x+0.5y=0.35(500)
0.25x+0.5y=175
solve

multiply second equation by 100
25x+50y=17500
divide everybody by 25
x+2y=700

now we have
x+y=500
x+2y=700

multiply first equation by -1 and add to second equaiton

-x-y=-500
x+2y=700 +
0x+1y=200

y=200
sub
x+y=500
x+200=500
x=300


300L of the 25% and 200L of the 50%

The length of the line from the center of a circle to any point on its edge is the ______________________ of a circle.circle
radius
diameter
ray

Answers

Answer:

diameter

Step-by-step explanation:

Answer:

Radius

Step-by-step explanation:

The radius is a straight line from the center to the circumference of a circle or sphere.

9.35 as a fraction in simpliest form

Answers

we know that
the number 9.35
is equal to 
9+0.35
and
0.35  is equal to
35/100
divide by 5 both members
(35)/(100) = (7)/(20)

therefore

the number 9.35  is equal to  9 (7)/(20)

The correct answer is:

9 7/20.

Explanation:

Reading this decimal, we would say "nine and thirty-five hundredths." This means we can write it as a fraction in the form

9 35/100.

To simplify the fraction, we look for common factors in the numerator and denominator. The numerator ends in 5 and the denominator ends in 0, so both are divisible by 5:

(35÷5)/(100÷5) = 7/20

From this point, the only numbers that are factors of 7 are 1 and 7; while 1 is a factor of everything, 7 will not go into 20, so this does not simplify further.

Thus we have 9 7/20.
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