Answer:
6
Step-by-step explanation:
In a right triangle the legs are base and height
area = (1/2) base × height = (1/2) 3 (4) = 6
Answer: 6 square units
WILL GIVE BRAINLIEST
If b^2-4ac>0, which of the following conclusions can be made about the graph of f(x)=ax^2+bx+c, a≠0?
a. The graph has two distinct x-intercepts.
b. The graph has three distinct x-intercepts.
c. The graph has no x-intercepts.
d. The graph has one x-intercept.
Answer:
c. The graph has no x-intercepts.
Step-by-step explanation:
because it will never touch the x axis
A quadratic function is represented as: [tex]\mathbf{f(x) = ax^2 + bx + c}[/tex]
The conclusion from [tex]\mathbf{b^2 - 4ac > 0}[/tex] is that, the graph has two distinct x-intercepts
There are three possible roots of a quadratic function
Complex rootsDistinct real rootsRepeated real rootsWhen [tex]\mathbf{b^2 - 4ac > 0}[/tex], it means that:
The function has distinct real roots
In other words, the function has 2 different values of x
This implies that,
The function crosses the x-axis two times
When the function cross the x-axis, it means that the function has an x-intercept
Hence, the conclusion is:
a. The graph has two distinct x-intercepts.
Read more about quadratic functions at:
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what is the equation of the following line? be sure to scroll down first to see all answer options
Answer:
The equation for the following graph:
[tex]y = -\frac{1}{5}x[/tex]
Step-by-step explanation:
- You first need to find the slope by using the slope formula:
[tex]m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}[/tex]
(where [tex](x_{1},y_{1})[/tex] is the first point and [tex](x_{2}, y_{2})[/tex] is the second point)
-Use the given points [tex](0,0)[/tex] and [tex](10, -2)[/tex] from the graph for the formula:
[tex]m = \frac{-2 - 0}{10 - 0}[/tex]
Then, you solve:
[tex]m = \frac{-2 - 0}{10 - 0}[/tex]
[tex]m = -\frac{1}{5}[/tex]
After you have found the slope, use the slope [tex]-\frac{1}{5}[/tex] and the first point [tex](0,0)[/tex] for the point-slope formula:
[tex]y - y_{1} = m ( x - x_{1})[/tex]
(where [tex]m[/tex] is the slope and [tex](x_{1}, y_{1})[/tex] is the first point)
[tex]y - 0 = -\frac{1}{5} ( x - 0)[/tex]
Then, you solve:
[tex]y - 0 = -\frac{1}{5} ( x - 0)[/tex]
[tex]y - 0 = -\frac{1}{5}x - 0[/tex]
[tex]y - 0 + 0 = -\frac{1}{5} - 0 + 0[/tex]
[tex]y = -\frac{1}{5}x[/tex]
So, the equation for the following graph is [tex]y = -\frac{1}{5}x[/tex] .
Suppose f(x) = x². Find the graph of f(x - 2)
Click on the correct answer.
graph 1
graph 2
graph 3
graph 4
Answer:
the answer is graph 1
What is the slope of the line that passes through the points (6,-10) and
(3, -13)? Write your answer in simplest form.
Answer:
1
Step-by-step explanation:
The slope intercept form for this problem is y = x - 16
HELP
According to the Rational Root Theorem, Negative 2/5 is a potential rational root of which function?
f(x) = 4x4 – 7x2 + x + 25
f(x) = 9x4 – 7x2 + x + 10
f(x) = 10x4 – 7x2 + x + 9
f(x) = 25x4 – 7x2 + x + 4
Answer: Answer is f(x) = 25x4 - 7x2 + x + 4
Step-by-step explanation:
Answer:
d on edg
Step-by-step explanation:
Find the slope of the line that passes through (3, 2) and (10, 3).
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
Answer:
m=1/7x
Step-by-step explanation:
Answer:
[tex] slope= \frac{1}{7} [/tex]
Step-by-step explanation:
[tex](3 \: \: \: \: \: \: \: 2) = > (x1 \: \: \: \: \: \: \: x2)\\ (10 \: \: \: \: 3) = > (y1 \: \: \: \: \: \: \: y2)[/tex]
[tex]slope \\ = \frac{y1 - y2}{x1 - x2} \\ = \frac{2 - 3}{3 - 10} \\ = \frac{ - 1}{ - 7} \\ = \frac{1}{7} [/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
y=p2 +gr
Find y when p=-5, q=3 and r=-7.
Write p in terms of q, r and y.
Answer:
4
p= √(y-qr)
Step-by-step explanation:
y=p² +qr
p= -5, q=3, r= -7
y= (-5)²+3*(-7)= 25- 21=4p²= y - qr
p= √(y-qr)
Cheap and fast gas station is conducting a consumer satisfaction survey. Which method of collecting data would most likely lead to a biased sample? Interviewing every 5th customer to come into the station
Which shows the fractions in order from greatest to least?
A. 3/6, 4/9, 3/7, 3/10
B. 3/10, 3/7,4/9,3/6
C. 3/6, 4/7,4/9,3/10
D. 3/10, 4/9,3/7,3/6
Answer: A
Step-by-step explanation:
3/6= 0.5
4/9= 0.444
3/7= 0.428
3/10= 0.3
0.5 > 0.444....> 0.428 > 0.3
Use the synthetic division shown to help factor the polynomial and solve the equation.
What are the solutions of the equation?
1, 4, and –5
1, –4, and 5
–1, –7, and 3
–1, 5, and 9
Answer:
1. x = -5 and x = 1
2. x = 5 and x = -1
3. no integral solutions
4. no integral solutions
Step-by-step explanation:
Answer:
1, 4, and –5
Step-by-step explanation:
on edge
What is the value of x?
Answer:
x =40
Step-by-step explanation:
x and 4x-20 form a straight line which means they add to 180
x+4x-20 = 180
Combine like terms
5x -20 =180
Add 20 to each side
5x = 200
Divide by 5
5x/5 = 200/5
x =40
Answer:
it just looks confusing sry
Step-by-step explanation:
but im usually good at these but it just looks confusing on this one, but maybe it is A. idk sry good luck
Find a value for Ф in radians between 2π² if sin(Ф) = -1/2 and cos(Ф) = √3/2 (Unit Circle)
Answer:
This is the angle in the angle in the fourth quadrant that verifies the given conditions:
[tex]\phi =\frac{11\, \pi}{6} \\[/tex]
Step-by-step explanation:
Notice that in the unit circle, if sin of the angle is negative, and cos of the same angle is positive, we are in the fourth quadrant.
Also, the angle that renders
[tex]sin(\phi)=-\frac{1}{2}[/tex]
in the fourth quadrant, is [tex]\phi =\frac{11\, \pi}{6} \\[/tex]
for such angle, also :
[tex]cos(11 \pi/6)=\frac{\sqrt{3}}2}[/tex]
which verifies the second condition.
Jose bought 750 bags of peanuts for $375.00. He intends to sell each bag for $0.15 more than he paid. How much should he charge for each bag?
Answer:
65p
Step-by-step explanation:
375 divided by 750=0.50
0.50+15=65p
Answer:
0.65
Step-by-step explanation:
750 / 375 = 0.50, and he wanted to sell them for 0.15 more than the original cost, so the answer is 0.65
Please help! Correct answer only!
Aisha runs a doggy daycare, where 8 dogs are currently enrolled. The collection of dogs includes 6 of Aisha's favorite type of dog, bulldogs.
If Aisha randomly picks 5 dogs to play in the park during the first time slot, what is the probability that all of them are bulldogs?
Write your answer as a decimal rounded to four decimal places.
Answer:
Probability ≈ 0.1071
Step-by-step explanation:
Consider steps below;
[tex]Total Possible Outcomes - 8C5,\\\\8! / 5! ( 8 - 5 )!,\\1 * 2 * 3 * 4 * 5 * 6 * 7 * 8 / ( 1 * 2 * 3 * 4 * 5 )( 1 * 2 * 3 ),\\\\6 * 7 * 8 / 6 = Combinations - 56,\\\\[/tex]
[tex]Number Of Outcomes - 6C5,\\\\6! / 5! ( 6 - 5 )!,\\1 * 2 * 3 * 4 * 5 * 6 / ( 1 * 2 * 3 * 4 * 5 ) ( 1 ),\\720 / 120 * 1,\\\\Outcomes - 6[/tex]
[tex]Conclusion ; Solution - 6 / 56 = ( About ) 0.1071\\Hope That Helps![/tex]
Solution; Probability ≈ 0.1071
Answer:
The probability is 0.107
one x intercept for a parabola is at the point (1,0). use the factor method to find the other x intercept for the parabola defined by y=-5x^2+15x-10
First simplify the equation of parabola y=-5x^2+15x-10 in the following way:
D=(15)^2-4\cdot (-5) \cdot (-10)=225-200=25, \\ \sqrt{D}=5, \\ x_{1,2} = \dfrac{-15\pm 5}{2\cdot(-5)} = 2, 1 \\ -5x^2+15x-10=-5(x-1)(x-2), \\ y=-5(x-1)(x-2).
You can see that if x=1 or x=2, then y=0. Two points of intersection with x-axis are (1,0) and (2,0).
What is the probability of a number less than 4 showing when a number cube is rolled?
Answer:
50 percent
Step-by-step explanation:
Answer: there is a 50% chance
Step-by-step explanation:
there are three numbers less than four on a number cube. 3/6 is equivalent to 1/2
as an estimation we are told 5 miles is 8km. Convert 84 km to miles
Answer:
52.195 miles
Step-by-step explanation:
84 km to miles is 52.195 miles
Mrs. Quotient asked her students to simplify each of the expressions below. Which of the numbered choices represents the expressions which simplified to the same result? A 71 B 72 C 73
Answer:
A and B
Step-by-step explanation:
Mrs. Quotient asked her students to simplify each of the expressions below. Which of the numbered choices represents the expressions which simplified to the same result? A 126/2 B 23 × 3 C 3 × 21
When simplifying an algebraic expression, the following steps are needed to be taken.
Firstly, remove parenthesis by multiplying the constant with the term in the parenthesis or remove parenthesis using exponent rules for parenthesis in exponent form.
Secondly Combine terms by adding coefficients of terms with the same order and lastly sum all constant.
A) 126/2
Applying the division rule give:
126/2 = 63
B) 23 × 3
Applying multiplication rule gives:
23 × 3 = 69
C) 3 × 21
Applying multiplication rule gives:
3 × 21 = 63
Both the results of expression A and expression B are simplified to the same result
Which division problem would have an estimated quotient of 3.5 if the divisor and dividend were rounded to the nearest whole number?
Answer:
Step-by-step explanation:
Weren't there possible answer choices from which to choose? If so, please share them.
7 3 + 4
-- is equivalent to ---------- and has an estimated (and exact) quotient of 3.5.
2 2
If the divisor (2) and the dividend (7) were rounded to the nearest whole number (which would be 7), the estimated quotient would still be 3.5.
Answer:
7 3 + 4
-- is equivalent to ---------- and has an estimated (and exact) quotient of 3.5.
2 2
Step-by-step explanation:
A Car travels 42 km
On 7 litres of petrol. How long will it travel
on 12 litres of petrol.
Answer:
The answer is 72
Step-by-step explanation:
You'll do 42 divided by 7 times 2
42/7x2
Hope it helps.
A car travels 72 km on 12 liters of petrol.
What is Division method?
Division method is used to distributing a group of things into equal parts.
Given that;
A Car travels 42 km on 7 liters of petrol.
Now,
Since, On 7 liters of petrol a car travel 42 km
Hence, On 1 liter of petrol distance cover by a car = 42 ÷ 7
= 6 km
So, On 12 liters of petrol distance cover by a car = 6 × 12
= 72 km
Thus, A car travels 72 km on 12 liters of petrol.
Learn more about the division visit:
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plz can someone help me with this plzz
Answer:
p: 42
a: 82.16
Step-by-step explanation:
For perimeter, add all the sides together
For area, multiple the longer side by the shorter side
HELPP ITS ABOUT A PYRAMID Explanation needed pleasee
Answer:
A. a triangle with an area of 20 square units
Step-by-step explanation:
note when you cut from top tip to the bottom you will get a triangle with base = 4 and height =10
Area of triangle = 1/2 * base * heighte
Area of triangle = 0.5*10*4
Area of trianle = 20 square units
Simplify (4^-2)^5 Pls help
Answer:
4^-10
Step-by-step explanation:
(4^-2)^5
4^-2 x 5
= 4^-10
hope this helped have fun doing school haha
Answer:
[tex]\frac{1}{32768}[/tex]
Step-by-step explanation:
[tex](4^{-2})^{5}[/tex]
[tex](\frac{1}{4^{2} }) ^{5}[/tex]
[tex](\frac{1}{8})^{5}[/tex]
[tex]\frac{1}{32768}[/tex]
The graph of a line goes through the points (-4,3) and (6,8). What is the equation
of the line in slope-intercept form?
Answer:
y = 1/2x+5
Step-by-step explanation:
You have two points so you can find the slope
m = (y2-y1)/(x2-x1)
m = (8-3)/(6 - -4)
(8-3)/(6+4)
5/10
1/2
The slope intercept form is y = mx+b where m is the slope and b is the y intercept
y = 1/2 x+b
Substitute a point into the equation
8 = 1/2(6)+b
8 = 3+b
b=8-3 = 5
y = 1/2x+5
Complete the equation of the line through (–6,5) and (-3, -3).
Use exact numbers.
Answer:
-3, -3
Step-by-step explanation:
A band is planning a concert at a local theater. The graph below shows the ticket sales per hour.
What is the slope of the line shown in the graph ?
Answer:
A. -400Step-by-step explanation:
Slope of a line is defined as the change in the component of the y- axis to its x axis as shown;
slope = Δy/Δx = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
From the graph, y2 = 0, y1 = 4000, x2 = 10, x1 = 0
slope = [tex]\frac{0-4000}{10-0}[/tex]
[tex]slope = \frac{-4000}{10}\\ slope = -400[/tex]
The slope of the line is a negative slope and it is -400
Answer: A. -400
Step-by-step explanation:
just had this and got in correct
Find the slope of the line will mark as brain
y
=
–9
4
x
−
1
4
.
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
Answer negative 9 is the answer
Step-by-step explanation:
Write 240 as a product of primes. Use index notation where appropriate.
Answer:
2^4x3x5
Step-by-step explanation:
240=2x120
120=2x60
60=2x30
30=2x15
15=3x5
Plzzzzzz help me.......
Answer: 4 terms and 8 factors
Step-by-step explanation:
^
if f(x) =5x-2 and g(x) = 2x +1 find(f+g)(x)
Answer & Step-by-step explanation:
When we see (f + g)(x), it means that we are going to be adding f(x) to g(x).
f(x) = 5x - 2
g(x) = 2x + 1
(f + g)(x) = (5x - 2) + (2x + 1)
Combine like terms.
(f + g)(x) = 7x - 1
So, (f + g)(x) equals 7x - 1