Decide whether this statement is always true, never true, or sometimes true, and explain why: In a quadratic equation of the form 0 = ax2 + bx + c, there will be two real solutions if a and c are of opposite signs
Answer:
Always true
Step-by-step explanation:
Here, we want to evaluate if the given statement is true
The discriminant D can be calculated using the formula;
b^2 - 4ac
if D is greater than 0, then we will have only real roots
In a case where a and c are of opposite signs;
then -4ac will always give a positive value which can be added to b^2
This positive value will ensure that D is greater than zero and hence we can have only real roots
So this assertion is always true if a and c are of opposite signs
Little Tricky think outside of the box: The sum of the measures of the complement and the supplement of an angle is 114. What is the measure of the angle?
A 12
B 66
C 78
D 102
Answer:
B
Step-by-step explanation:
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P is a rectangle with a length of 40cm and a width of x cm.
Q is a rectangle with a width of y cm.
The length of Q is 25% more than the length of P.
The area of Q is 10% less than the area of P.
Work out the ratio x : y.
Give your answer in its simplest form.
Answer；
By simply calculating, using the length and width with the relationship given, it's solved.
25:18
Step-by-step explanation:
see the graph↑
Hope this one can help you!!
PLEASE HELP ME!! THANK YOU!!
9514 1404 393
Answer:
[-4,3]
Step-by-step explanation:
The domain is the left-right (horizontal) extent of the function. The dots at the end of the continuous line are solid, so the brackets on the interval are square brackets.
The left dot is at x=-4; the right dot is at x=3, so the domain is ...
[-4,3]
A piece of climbing equipment at a playground is 6 feet high and extends 4 feet horizontally. A piece of climbing equipment at a gym is 10 feet high and extends 6 feet horizontally. Which statement best compares the slopes of the two pieces of equipment?
Because Five-thirds greater-than three-halves, the slope of the climbing equipment at the gym is greater.
Because Five-thirds less-than three-halves, the slope of the climbing equipment at the playground is greater.
Because Three-fifths greater-than two-thirds, the slope of the climbing equipment at the gym is greater.
Because Three-fifths less-than two-thirds, the slope of the climbing equipment at the playground is greater.
Answer:
I think its D but I'm not that sure about it.
Step-by-step explanation:
Because three fifths less than two thirds, the slope of te climbing equipment at the playground is greater.
Answer:
A)
Step-by-step explanation:
A piece of climbing equipment at a playground is 6 feet high and extends 4 feet horizontally.
Therefore its slope = length of the equipment vertically / length of equipment horizontally
= 6/4 = 3/2 = 1.5
And, A piece of climbing equipment at a gym is 10 feet high and extends 6 feet horizontally.
Therefore slope, = 10/6 = 5/3=1.67 (approx)
Since, >
Therefore, Five-thirds greater-than three-halves, the slope of the climbing equipment at the gym is greater
(I finished the quiz and got it correct, it is A.)
Hello help with question please :)
Answer:
A
Step-by-step explanation:
slope is (y2-y1)/(x2-x1)
anyhow that comes out to -3/2
the only place that actually applies is in A
Answer:
A
Step-by-step explanation:
6=-3/2×-2+3
6=3+3
6=6
-3=-3/2×4 + 3
-3=-6+3
-3=-3
if you use synthetic division for this polynomial: 3x^5-12x^4+12x^3+30x^2-39x-42. What would the answer be?
Answer : x^5 - 4x^4 +4x^3 + 10x^2 - 13x - 14
Explanation :
(3x^5-12x^4+12x^3+30x^2-39x-42)/3 = x^5 - 4x^4 +4x^3 + 10x^2 - 13x - 14
The angle measurements in the diagram are represented
by the following expressions.
ZA= 63 - 189
ZB = 142 + 38°
Solve for x and then find the measure of ZA:
Answer:
∠A = 30°Step-by-step explanation:
∠A + ∠B = 180
where ∠A = 6x - 18
∠B = 14x + 38
first step is to solve for x:
6x - 18 + 14x + 38 = 180
6x + 14x = 180 + 18 - 38
20x = 160
x = 160 / 20
x = 8
now substitute x=8 into angle A
∠A = 6x - 18
∠A = 6(8) - 18
∠A = 30°
Plz help with this question and show explanation thanks
Answer:
4x^4yz^2(3-2xy^2)
Step-by-step explanation:
take common fitst
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[tex]12 {x}^{4} y {z}^{2} - 8 {x}^{3} {y}^{3} {z}^{2} [/tex]
Factoring 4x³yz²
[tex]4 {x}^{3} y {z}^{2}(3x - 2 {y}^{2} )[/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
2.
NEED HELP ASAP‼️‼️‼️‼️‼️ What is the slope of the line that passes through the points (-6, 1) and (3, 7)?
Answer:
c. 2/3
Step-by-step explanation:
To find the slope, you subtract y^1 from y^2 and divide it by x^2 - x^1
Our y^2 is 7 and our y^1 is 1.
7-1 = 6
Our x^2 is 3 and our x^1 is -6.
3 - (-6) = 3+ 6 = 9
so our slope is 6/9, reduced is 2/3
I hope this helped, please mark Brainliest, thank you!!
10 employees only eat
vegetables and 25 employees
eat meat. What is the ratio of
the employees who only eat
vegetables to employees who
eat meat?
Answer: the ratio 2:5
Step-by-step explanation:
I think thats the answer,
Marvin rides his bike at an average speed of 13 miles per hour. How far can he bike in 8 hours?
Marvin can bike miles in 8 hours.
Answer:
104
Step-by-step explanation:
13x8=104
3. Give the domain and range of the relation. Tell whether the relation is a function, 1 1 3 1 6 8. D: {0,1}: R: 1-5, -1,3,6} The relation is a function. b. D: {0,1); R: -5, -1,3,6) The relation is not a function. D: -5,-1,3,6); R: (0,1} The relation is not a function. d. D:{-5, -1,3,6); R: (0,1} The relation is a function.
Answer:
D
Step-by-step explanation:
Does anyone know know the correct answer?! Please help! If the answer is correct ill mark you as the best!
Answer:
D)
Step-by-step explanation:
In slope-intercept form in order to find the perpendicular equation you change the sign and find its reciprocal.
So in the equation y= -3x+1, the opposite sign of - is + and the opposite of 3 is 1/3
If the domain for
f (x) = 3x + 2 is
{-2,4,7}
What is the range?
Answer:
{8,14,-19}=R
..................
-2 (-3x + 3) + 2x = 58
Answer:
x = 8
Step-by-step explanation:
Given
- 2(- 3x + 3) + 2x = 58 ← distribute and simplify left side
6x - 6 + 2x = 58
8x - 6 = 58 ( add 6 to both sides )
8x = 64 ( divide both sides by 8 )
x = 8
Need help fast with my work
Answer:
-25
Step-by-step explanation:
3x(x-2)-x^2+4=0
Help
Answer:
x=2,1 solving with quadratic formula
Step-by-step explanation:
Find the slope of the line passing through the given points using the slope formula. Describe the slope as positive, negative, zero, or undefined.
(−7, −18) and (−7, −4)
Answer:
Undifined
Step-by-step explanation:
what is 411, 600, 000 in scientific notation
Answer:
4.116 × 108
Step-by-step explanation:
I simply used a Scientific Notation Converter
Answer:
The answer would be 4.116 x 10 exponent of 8
Step-by-step explanation:
In scientific notation, the answer has to be between 1-10, so to make this number between one and ten, you must create a decimal behind the number in the one's place and move it until you get to the first number (in this case, you would move it eight times, so your equation would be 4.116 x 10 to the eight power (exponent of eight). If you need to round the number to the tenth place, it's 4.1 x 10^8
Hope this helps!
3. A merchant sold a pen for $6.90, thereby making a profit of 15% on the cost to her. Calculate:
a. the cost price of the pen to the merchant to the nearest cent.
b. the selling price the merchant should request in order to make a 25% profit instead.
Answer:
A.$6.44
B.$8.05
Step-by-step explanation:
A.$6.90/15%=$0.46-$6.90=$6.44
B.$6.44*25%=$1.61+$6.44=$8.05
Answer:
answer for 6.90/15%= 6
answer for 25%= 7.5
Step-by-step explanation: These are answer is all correct there are no mistakes
Line a passes through points (2, 1) and (7, 9). Line b is perpendicular to a. What is the slope of line b?
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
The slope of the perpendicular line will be - 5/8.
What is Equation of line?
The equation of line in point-slope form passing through the points
(x₁ , y₁) and (x₂, y₂) with slope m is defined as;
⇒ y - y₁ = m (x - x₁)
Where, m = (y₂ - y₁) / (x₂ - x₁)
Given that;
Two points on the line are (2, 1) and (7, 9).
Now,
Since, We know that;
The slope of the line passing through the points (x₁ , y₁) and (x₂, y₂) is;
⇒ m = (y₂ - y₁) / (x₂ - x₁)
So, The slope of the line passing through the points (2, 1) and (7, 9) is;
⇒ m = (y₂ - y₁) / (x₂ - x₁)
⇒ m = (9 - 1) / (7 - 2)
⇒ m = 8 / 5
Since, The product of the slope of the perpendicular lines is - 1.
Here, Line b is perpendicular to a.
So, The slope of the line b is,
m₂ = - (1/8/5)
= - 5/8
Thus, The slope of the perpendicular line will be - 5/8.
Learn more about the equation of line visit:
https://brainly.com/question/18831322
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Two parallel lines are cut by a transversal. Which statements are true for all such cases? Select three that apply.
Each pair of vertical angles is congruent.
Each pair of corresponding angles is congruent.
Each pair of supplementary angles is congruent.
Each pair of alternate interior angles is congruent.
Answer:
Step-by-step explanation:
Each pair of vertically opposite angles are equal. If you mean vertical angles as in 90 degrees, you should qualify the question
Each pair of alternate interior angles is congruent (think it should be are congruent).
Each pair of corresponding angles is congruent
16 points
1) Write the following in standard form (answer). *
4^5
Answer:
1024
Step-by-step explanation:
You could put 4^5 into your calculator. It’s 4*4*4*4*4= 1024
If the scale on a map is inches /miles = 1 /10, find the following actual distances.
a. 2 inches b. 1/2 inches c. 3.5 inches
Answer:a-20miles
b-5miles
C-35 miles
Step-by-step explanation:
Explain your reasoning for how you got true or false ?!
Is ABD congruent to CBD?
Please help! I’ll give brainliest!!
1 and 2 plz help me im nice:)
Answer:
1. 13
2. 28
Step-by-step explanation:
hope this helps
steve jobs sells apples and gets paid a minimum weekly salary of $660. He also gets paid on a graduated commission scale. He gets 4% of the first $2000 and 6% of anything over $2000. How much would he earn if he sold $15,000 worth of apples last week?
A. 1520
B. 1500
C. 640
D. 660
Answer:
Step-by-step explanation:
660 flat salary
2000*4%= 80
13000*6%=780
660+80+780= 1520
Answer:
660+80+780= 1520
Step-by-step explanation:
Hope that helps
lemme know
(06) A paper is in the form of a
square of side 20m. Semicircles are
drawn inside the square paper
on two sides as diameter. The
semicircle portions are cut off.
Find the area of remaining
paper. (use π = 3.14).
Answer:
86 sq.m
Step-by-step explanation:
Write the equations for the lines parallel and perpendicular to the given line j that passes through Q.
• y = - 4x + 1; 0(6, -1)
• 3x - 2y = -8; Q(1,- 1)
• y - 2 = 1/2 (x + 2); Q(1, -1)
Answer:
the third option
i think this is right but I could be wrong, sorry.