Consider the quadratic equation y = –3x2 – 2x + 4. A. Find the value of the discriminant. B. How many real roots does the equation have? C. Does the vertex of the graph of the equation lie above, on, or below the x-axis?

Answers

Answer 1

Answer: A. discriminant = 52;
B. 2, because 52 > 0
C. - discrminant / 4a = -52 / -12 = 6 > 0 => the vertex of the graph of the equation lie above the x-axis.

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One side of a triangular garden is x feet long. The other two sides of the garden are both 5 feet less than twice the length of the first side of the garden.Part A: Write a simpiflied expression for perimeter, in feet, of the garden.
A fence is placed along the entire perimeter of the triangular garden. The roll of fencing is 40 ft long.
Part B: Write a simplified expression to show the amount of fencing, in feet, which is left from the roll of fencing.

Answers

A: If the 1st side of the garden is x feet long then the other sides are 2x - 5. The perimeter is simply the measure of the distance around the triangle, so the length of all three sides added up. So the equation to find the perimeter (p) would be...

p = x + (2x+5) + (2x+5)
or
p = x + 2(2x+5)

This is actually an equation so the expression to represent perimeter would simply be...

x + 2(2x+5)

B: Since we know the equation for the perimeter and we know that we have 40 feet of fencing, then the equation to find the left over fencing would just be the length of fencing minus the perimeter...

40 - x + 2(2x+5) = the leftover amount of fencing

so the expression is...

40 - x + 2(2x+5)

Which equation models the height, y, x seconds after firing?

Answers

i dont see any equations there

The slope of line m is 7/8. If n⊥m, what is the slope of line n? A) 7/8
B) 8/7
C) -7/8
D) -8/7

Answers

$k:y=m_1x+b\nl:y=m_2x+c\n\nl\ \perp\ k\iff m_1m_2=-1$
We have:
$m_1=(7)/(8);\ m_2=?$
Substitute:
$(7)/(8)m_2=-1\ \ \ \ |\cdot(8)/(7)\n\nm_2=-(8)/(7)$
Answer: D)

Hey there !

When two lines are perpendicular , the product of their slope is -1 ,

m1 × m2 = -1
7/8 × m2 = -1

m2 = -8/7 Ans.

How many red, blues, and greens are there?red, green, blue, blue, red, green, red, green, blue, red
red, blue, red, red, blue, red, blue, red, green, red

Answers

10 reds
6 blues
4 greens
:)

there are :
10 reds ..
6 blues ..
4 greens ..

Hope it helps!!!

Which quantity is best expressed as +5?A. a purchase of $5
B. a profit of $5
C. a loss of $5
D. an overdraft of $5

Answers

the answer is B. a profit of $5

A+2=e b-2=e c×2=e d:2=e divide 45 in 4 parts example (20,15,3,7) equation will be correct as abcd

Answers

a+2=e
b-2=e

2c=e

d/2=e
dunno wat last part is but since they all equal e
a+2=b-2=2c=d/2
I am guessing that a+b+c+d=45 such that a+2=b-2=2c=d/2

interesting
make in terms of one thing
let's do a

a+2=b-2
a+4=b

a+2=2c
(a+2)/2=c

a+2=d/2
2(a+2)=d

sub

a+(a+4)+[(a+2)/2]+(2(a+2))=45
distribute some
a+a+4+(a+2)/2+2a+4=45
add like terms
4a+8+(a+2)/2=45
minus 8
4a+(a+2)/2=37
mult both sides by 2
8a+a+2=74
add like terms
9a+2=74
minus 2
9a=72
divide 9
a=8

sub back

a+4=b, 8+4=b=12

(a+2)/2=c, (8+2)/2=10/2=c=5

2(a+2)=d, 2(8+2)=2(10)=d=20

a=8
b=12
c=5
d=20

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Write the equations of the lines, representing the following conditions, in the form y = mx + b, where m is the slope and b is the y-intercept:Part A) Passes through (2, 5) and m = 3/4 Part B) Passes through (−3, 2) and (1, −3) Part C)m=2/5 and y-intercept =-6 Part D) x-Intercept = 4 and y-intercept = −2 Part E) Passes through (−2, 2) and parallel to 4x − 3y − 7 = 0

Estimate the answer by rounding 863 x 534 to the nearest 100

... please help lol