Answer:
x = [tex]\frac{4}{3}[/tex], x = 1
Step-by-step explanation:
To find the x- intercepts, let y = 0 , that is
3x² - 7x + 4 = 0
Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term.
product = 3 × 4 = 12 and sum = - 7
The factors are - 3 and - 4
Use these factors to split the x- term
3x² - 3x - 4x + 4 = 0 ( factor the first/second and third/fourth terms )
3x(x - 1) - 4(x - 1) = 0 ← factor out (x - 1) from each term
(x - 1)(3x - 4) = 0
Equate each factor to zero and solve for x
x - 1 = 0 ⇒ x = 1
3x - 4 = 0 ⇒ 3x = 4 ⇒ x = [tex]\frac{4}{3}[/tex]
x- intercepts are x = [tex]\frac{4}{3}[/tex] , x = 1
([tex]\frac{4}{3}[/tex], 0 ), (1, 0 ) ← in coordinate form
Find the missing angles
Traveling from City 1 to City 2, a pilot planned a southeast course along the path labeled d. Instead, a storm forced the pilot to travel 32 miles south, then 24 miles east to reach City 2. How many extra miles was the pilot forced to fly?
A. 13 mi.
B. 14 mi.
C. 16 mi.
D. 17 mi.
The extra miles the pilot was forced to fly, found using Pythagorean Theorem was 16 miles. The correct option is therefore;
C. 16 mi
What does Pythagorean Theorem state?Pythagorean theorem can be stated as follows; The square of the length of the hypotenuse side of a right triangle is equivalent to the sum of the square of the lengths of the other two sides.
The direction the pilot planned initially = A southeast course
The direction the storm forced the pilot to travel = 32 miles south then 24 miles east
The number of extra miles the pilot is forced to fly = Required
Taking the original path as a straight line, and the destination arrived at being that of the new destination, we get by using Pythagoras Theorem
Direct distance, d₁ = √(32² + 24²) = 40The direct distance from City 1 to City 2 = 40 milesThe new distance can be obtained by the scalar addition of the individual distances as follows;
d₂ = 32 + 24 = 56
The new distance traveled, d₂ is 56 milesThe number of extra miles, Δd, is therefore;
Δd = d₂ - d₁Which indicates that we have;
Δd = 56 miles - 40 miles = 16 milesThe number of extra miles the pilot was forced to fly is Δd = 16 milesLearn more about Pythagorean Theorem in mathematics here:
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Answer:
C. 16 mi
Step-by-step explanation:
cd and ad are
altitudes
perpendicular bisectors
angle bisectors
medians
Answer:
I believe it is angel bisectors
Step-by-step explanation:
correct me if im wrong sorry
What is the difference in thousands of dollars between the mean and median of the monthly sales
Solve for x: X -10 = 7
Answer:
x = 17
Step-by-step explanation:
x - 10 = 7
=> x = 10 + 7
=> x = 17
Write the slope intercept form of the equation for the line
Answer:
-7/8x-3/2
Step-by-step explanation:
Find the value of each expression. 25-14+3
Answer:
25-14+3= 14
25-14=11
11+3=14
Please answer these for a lot of points if you scam ill report you!
Answer:
Step-by-step explanation:
1) 5 times the length x of the table = 5*x = 5x
the sum of 8 inches = 5x + 5
5x + 8
2) Half the weight of w of a bag of rice = [tex]\frac{1}{2}w[/tex]
6 pounds less than = [tex]\frac{1}{2}w-6[/tex]
[tex]\frac{1}{2}w-6[/tex]
3) The product of 2 coins and c coins = 2*c = 2c
2c
Answer:
1. 5 times the length x of the table = 5*x = 5x
the sum of 8 inches = 5x + 5
5x + 8
2. Half the weight of w of a bag of rice =
6 pounds less than =
3. The product of 2 coins and c coins = 2*c = 2c
2c
Step-by-step explanation:
l2x-2l = 8
what are the solutions of the equations
Answer:
x=5
Step-by-step explanation:
The absolute value is positive, so the equation stays the same:
2x-2=8
Add 2 on both sides:
2x=10
Solve:
x=5
Answer:
x=29/12
Step-by-step explanation:
Let's solve your equation step-by-step.
12x−21=8
Step 1: Add 21 to both sides.
12x−21+21=8+21
12x=29
Step 2: Divide both sides by 12.
12x/12 = 29/12
x=29/12
Jason spends $2.35 to buy lunch at school. If he buys a lunch on 9 days, how much total money has he spent? Write and equation and solve.
Answer:
21.15 $
Step-by-step explanation:
Answer:
$21.15
Step-by-step explanation:
$2.35 x 9= $21.15
Hope this helps
Match the solution set of each of the following inequalities with its graph.
Answer:
Step-by-step explanation:
From the picture attached,
Number line Inequality
1). Arrow starting with a solid point from x = -2 x ≤ -2
directing towards negative numbers of x 2).Arrow starting with a hollow circle from x = 2 x >2
directing towards positive numbers of x
3). Arrow starting with a hollow circle from x = 2 x < 2 ⇒ x - 2 < 0
directing towards negative numbers of x
4). Arrow starting with a solid circle from x = 2 x ≥ 2 Or 2 ≤ x
directing towards positive numbers of x
5). Arrow starting with a hollow circle from x = -2 x > -2
directing towards positive numbers of x
Answer:
x ≤ -2x > 2x - 2 < 02 ≤ x-2 < xStep-by-step explanation:
I went by the picture. so the numbers 1-5 is representing the number lines 1-5
The length of a rectangle is 6 inches the width is 3w inches if the coefficient of the width increases by 2 what could be an expression for the area of the rectangle
Answer:
Dang it I got it wrong
Step-by-step explanation:
31/0 as a improper fraction
Answer:
1/0=0
Step-by-step explanation:
Write the equation of a line in slope-intercept form that goes through the points
(3,-5) and (1,-9)
Answer: The equation in slope-intercept form is y=2x-11
Step-by-step explanation: Slope-intercept is y=mx+b where m is the slope and b is the y-intercept. To find the slope, you find the difference between the y values divided by the difference between the x values. -5-(-9) = 4, and 3-1 is 2. 4/2 is 2, so m = 2. Since the slope is 2, it states for every x you move on the right you move 2 up. But we are trying to get the y-intercept, so x = 0. We are subtracting 1 in our x value, so we move 2 downwards. We subtract 2 from -9 which gives us -11, which is our y-intercept.
Hope this helps!
Can someone help its due soon !!
Ill mark brainliest
Answer:12 minutes
Step-by-step explanation:
56548.66 divided by 4500 = 12.5662222...
rounded to the nearest minute is = to 12 minutes
Answer:
answer:12 your welcome:/
PLEASE ANSWER! BRAINILY TO FIRST PERSON TO ANSWER CORRECTLY!
Answer:
1/32 cubic yards
Step-by-step explanation:
Just do 1/4 x 1/4 x 1/2 which is 1/32
Answer:
1/32 yd^3
Step-by-step explanation:
V = lwh
Volume=1/4 x 1/2 x 1/4
What is the length of NP to the nearest hundredth centimeter?
The table below shows the temperature, in Fahrenheit, that was recorded
every hour from 9:00 P.M. to 8:00 A.M. at Dulles International Airport.
Assuming a quadratic relationship, if time = 0 represents 9:00 P.M., which
would the model predict the temperature to be at 11:00 A.M., to the nearest
tenth of a degree?
Answer:
im so so so sorry, but i dont know(possibly because im only in 7th grade with a sucky teacher)
Step-by-step explanation:
The answer is y(10° ) = -5351.5
What is a quadratic equation?A quadratic equation is a second-order polynomial equation in a single variable, x.
To write a quadratic relationship, consider the first three points: let it be A (0,70), B (1,69.7), and C (2,69.1).
To find the constant value, we substitute the first point in the quadratic function.
i.e [tex]y=ax^{2} +bx+c[/tex]
At point A, the equation becomes
y=0+0+c=70
i.e c=70
At point B, the equation becomes
a+b=69.7
At point C, the equation becomes
4a+2b=69.1
By solving the two equations above, we get the values of a and b.
a=-35.15 and b=104.85
Then the quadratic relationship becomes
[tex]y=-35.15x^{2} +104.85x+70[/tex]
At 11:00 A.M, the temperature becomes
y(10°) =-35.15(14*14) + 104.85(14)+70
y(10°)=-5351.5
The predicted temperature at 11.00 A.M is given by, y(10°)=-5351.5
To learn more about quadratic equation use the link below:
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SOMEBODY PLS HELP ASAPP!!!
A train car is in the shape of a right rectangular prism and has a volume of 540 cubic feet as shown.
feet
12 feet
What is the height of the train car?
A 10 feet
B. 12 feet
C 22.5 feet
D. 24 feet
Answer:
its c
Step-by-step explanation:
I have only 4 questions left
Answer:
Yes
Step-by-step explanation:
Find the equation of the line that passes through point A and B
PLEASE HELP ASAP I WILL BE GIVING THE BRAINLIEST FOR THE RIGHT ANSWER
Answer:
Take two points y=2x+ b plug in values -1=2(-3)+by=2x+5I need help on this can someone help
Factor completely: 3x2 + 12xy + 2xz + 8yz
A)
(2x + y)(3x + 2)
B)
(x + 2y)(3x + 4z)
c
(2x - 3)(x + 2z)
D)
(x + 4y)(3x + 2z)
Answer:d
Step-by-step explanation:
please answer all of them
Answer:
a. x = 5/2
b. y = 16.5
c. z = 12
Step-by-step explanation:
Answer:
1) x = 2.5
b) y = 12.9
c) z = 12
d) 2.75 = w or 2[tex]\frac{3}{4}[/tex] = w
e) t = 4
Step-by-step explanation:
a)
2x = 5
divide both sides of the equation by 2
2x/2 = 5/2
x = 5/2
x = 2.5
b)
y + 1.8 = 14.7
subtract 1.8 from both sides of the equation
y + 1.8 - 1.8 = 14.7 - 1.8
y = 14.7 - 1.8
y = 12.9
c)
6 = 1/2z
divide both sides by 1/2 or multiply both sides by 2
6*2 = 1/2z * 2
6*2 = z
12 = z
d)
3.25 = 0.5 + w
subtract 0.5 from both sides of the equation
3.25 - 0.5 = 0.5 + 2 - 0.5
3.25 - 0.5 = w
2.75 = w
or
2[tex]\frac{3}{4}[/tex] = w
e)
2.5t = 10
t = 10/2.5
t = 4
Please help ASAP you will get BRAINLIST.
Answer:
Measure of LKJ is 64
Step-by-step explanation:
Here, we want to find the measure of angle LKJ
mathematically, we know that a bisector line divides an angle into 2
Since one of the divided angle is 32
The other side too will be 32
Thus, the missing value would be;
32 + 32 = 64
dkdkdkslorkgkfodofogosodokckdkd
Answer:
[tex]10 - 6x < 70 \\ - 6x < 60 \\ 6x > - 60 \\ \boxed{x > - 10}[/tex]
Solve for y. 10x-3y=2
Answer:
y = 10/3x - 2/3
Step-by-step explanation:
10x-3y=2
-3y = -10x + 2
-3y/-3 = -10x/-3 + 2/-3
y = 10/3x - 2/3
6. A pencil costs $2 less than a notebook. A pen costs 3 times as much as a pencil. The pen costs
$9. Write and solve an equation to determine the cost of the notebook and the cost of the
pencil.
Answer:
Step-by-step explanation:
9 x 3 = 27 aka pencil
27 + 2 = 29 = notebook
Which graph represents the function f(x) = 3-* +4?
10
8
-6
2
2
10
8
2
2
Need help fast!!!!!!!!!!!!!
Add me on the clock app my user is limblesskaworu