Write each quadratic expression in standard form. Draw a diagram if needed.
(x+4)(x-1)
Answers
Answer:
The standard form of the quadratic equation is x² + 3·x - 4 = 0
Step-by-step explanation:
The standard form of a quadratic equation is a·x² + b·x + c = 0
Given that the expression of the quadratic equation is (x + 4)·(x - 1) = y, we can write the given expression in standard form by expanding, and equating the result to zero as follows;
(x + 4)·(x - 1) = x² - x + 4·x - 4 = x² + 3·x - 4 = 0
The standard form of the quadratic equation is x² + 3·x - 4 = 0
The graph of the equation created with MS Excel is attached
Related Questions
Order these numbers from least to greatest.
6.58, 6.8, 6.4082, 6.509
help pls
Answers
Answer:
6.4082, 6.509, 6.58, 6.8
Step-by-step explanation
:)
The slope between the points (4,2) and (1. p) is 4. Find p and write the
equation of the line that has these points in point slope form.
Hint
P-2
D-10
equation of the line: \y - y1) = m(- X1)
Y1
m-
X1
Answers
Answer:
[tex]slope = \frac{y_2 - y_1}{x_2-x_1}\\\\4 = \frac{p-2}{1-4} \\\\4 \times -3 = p -2\\\\-12 + 2 = p \\\\p = -10 \\\\Equation \ of \ line : \\\\(y -y_1) = m(x - x_1)\\\\y - 2= 4(x-4)\\\\y - 2 = 4x -16\\\\y = 4x -14[/tex]
Hi there! The slope formula is:
[tex] \large \boxed{m = \frac{y_2 - y_1}{x_2 - x_1} }[/tex]
We know that the slope is 4 but we are missing the value of p. (Define m = slope)
What we have now are:
two ordered pairs (4,2) and (1,p)value of slope = 4We are going to substitute these values and solve the equation for p-term.
[tex] \large{4 = \frac{2 - p}{4 - 1} } \\ \large{4 = \frac{2 - p}{3} } \\ \large{4(3) = \frac{2 - p}{3} (3)} \\ \large{12 = 2 - p} \\ \large{p = 2 - 12 \longrightarrow \boxed{p = - 10}}[/tex]
Hence, the value of p is -10.
Next, we have to write the equation of a line in point-slope form. The point-slope form is:
[tex] \large \boxed{y - y_1 = m(x - x_1)}[/tex]
Define that (x1, y1) = ordered pairs
Since we have two given points, we can either use the first point or second point. Both work.
First Point
For our first ordered pairs (4,2), substitute x1 = 4 and y1 = 2 in the equation.
[tex] \large{y - 2 = 4(x - 4)}[/tex]
Hence, the equation of a line in point-slope form as in (4,2) is y-2=4(x-4)
Second Point
For our second ordered pairs (1,p), we know that p = -10 from the equation that we solved. Therefore (1,p) = (1,-10). Substitute x1 = 1 and y1 = -10 in the equation.
[tex] \large{y - ( - 10) = 4(x - 1)} \\ \large{y + 10 = 4(x - 1)}[/tex]
Hence, the equation of a line in point-slope form as in (1,-10) is y+10 = 4(x-1)
Answer
The value of p is -10 (p = -10)y - 2 = 4(x-4) —> use (4,2) to form an equation. y + 10 = 4(x-1) —> use (1,-10) to form an an equation.Both equations work for point-slope form.
Questions can be asked through comment.
Hope this helps, and Happy Learning! :)
One of the legs of a right triangle measures 5 cm and its hypotenuse measures 9 cm. Find the measure of the other leg.
Answers
Answer:
the other leg = 2 root 14, which is roughly 7.48331 cm
Step-by-step explanation:
9squared = 5squared + x
81-25=xsquared
squareroot 56 = 2 root 14
plzzzzz I will mark u as the brillianest plzzzzzzzzzzzzzzzzzzzz
Answers
Answer:
0.05%
Step-by-step explanation:
PLEASE HELP!!! 50 POINTS. Identify each graph as a linear function, nonlinear function, or not a function.
Answers
Answer:
1)non linear
2)linear
3)non linear
4) not a function
The city of Redmond is planning to build a new park by enlarging the current park by a scale factor of 3. The current park has an area of 30,125 yd².
The area of the new park is ___ yd².
Answers
Answer: I think it’s Area of the new park is 602000 yd
Answer:
90,375 yd^2
Step-by-step explanation:
A scale factor of three means that the park will be 3 times larger than the original, they may use fancy words, but it’s that simple.
30,125 * 3 = 90,375 yd^2
a tennis ball is hit with a vertical velocity of 40ft/s from an initial height of 7ft. In how many seconds will the ball hit the ground? Round your answer to the nearest tenth, if necessary. PLEASE SHOW ANY WORK IF POSSIBLE!!!!! THANK YOU SO MUCH TO WHOEVER ANSWERS THIS!!!!
Answers
Answer:
friend me on here and imma send you the link Step-by-step explanation:
Evaluate the expression (18+7)+5³-9
Answers
Answer:
141
Step-by-step explanation:
Answer:
Step-by-step explanation:
18+7+5^3-9
25+125-9
150-9
141
Need help
Four students answered the problem at the top of the table. The table shows their answers. Which student gave the correct answer?
7a² - 4 if a = 4
Student Answer
Lucia 110
Terry 108
Heath 24
Robin 22
Robin B) Heath C) Terry D) Lucia
and question 2
At Claremont Junior High, 72 out of 120 students usually ride the bus. If there are 500 students, how many should the bus drivers be prepared to bring to school?
Answers
Answer:
Terry 108
300
Step-by-step explanation:
7a² - 4 if a = 4
7(4)² - 4
7(16) - 4
112 - 4
108
Terry 108
----------------------------
72/120 * 500
300
-3 - 2e - 7 = 10
e = ?
Answers
What are the closing costs for a recent home purchase that includes a mortgage of $80,528 at 1.5 points and attorney's fees of $375 and title fees of $215?
Answers
Answer:
1797.92
Step-by-step explanation:
The closing cost for the home percent mortgage can be calculated as follows
= 0.01×1.5×80,528
= 1207.92
1207.92+375+215
= 1797.92
Hence the closing cost for the home purchase is 1797.92
Answer:
$1,797.92
Step-by-step explanation:
if you put $300 into a savings account and the bank account has a 4% annual compound interest-rate, find how much money will be in your savings account after 10 years if you don’t take any money out or put any more in.
Answers
What you do it 300 divided by 4% times 10
Which equation represents a car that gets more miles per gallon of gas than Mitch's car?
Helppppp!!! Plsss
Answers
A hiker leaves her camp in the morning. She walks 9 miles west then 10 miles north. Explain how you would find how far she has traveled from her camp.
Answers
Answer:
About 13.45 miles ( rounded )
Step-by-step explanation:
You would use the pythagorean theorem to solve this. ([tex]a^{2}[/tex]+ [tex]b^{2}[/tex] = [tex]c^{2}[/tex])
[tex]a^{2}[/tex] would be one length of that triangle, we'll use 9.
[tex]b^{2}[/tex] would be the other length of that triangle, we'll use 10.
So, now you have to square both of them.
[tex]9^{2}[/tex] = 81 ( 9 x 9 ) [tex]10^{2}[/tex] = 100 ( 10 x 10 )
Which you will get 81 and 100. Then you add those two numbers together.
100 + 81 = 181
Now that you have 181, you have to square root 181.
[tex]\sqrt{181}[/tex]
With that you should get 13.45 miles. (rounded)
I need help. I don’t understand this problem.
A. Length in the side adjacent to
B. Length in the side opposite to
C. cos(
D. JL/KL
Answers
Answer: one, sorry wrong person
Step-by-step explanation:
2.35 x 23.6 =
show work
Answers
Answer:
hope this helps <33 (55.460)
Step-by-step explanation:
2.35
x 23.6
---------------------
1 23
1 . 4 1 0
1 1
7 . 0 5 0
1
47 . 0 0 0
---------------------
1
5 5 . 4 6 0
What is the mean? (5, 8, 1, 7, 4, 3, 2, 2)
Answers
Answer:
mean=sum of data/no of data
=5+8+1+7+4+3+2+2/8
=32/8
4
Step-by-step explanation:
Therefore mean=4
10.575 as a fraction?
Answers
Answer:
[tex]10 \frac{23}{40}[/tex]
Step-by-step explanation:
Convert to a mixed number by placing the numbers to the right of the decimal over 1000. Reduce the fraction.
Answer:
423/40 or if it can't be improper than 10 23/40
Evaluate the expression for w = 1/6
1/2w + 3=
Answers
Answer:
37/12
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightStep-by-step explanation:
Step 1: Define
Identify
1/2w + 3
w = 1/6
Step 2: Evaluate
Substitute in w: 1/2(1/6) + 3Multiply: 1/12 + 3Add: 37/12IMPORTANT! SOMEONE PLEASE LOOK AT MY UNANSWERED QUESTIONS FROM THE PAST HOUR!!! I REALLY NEED HELP!!!
Answers
Answer:
Step-by-step explanation:
kk
An architect makes a scale drawing of a building. The scale used is 1 cm represents 20 m. Calculate the actual width of the building if the width on scale drawing is 24.5 cm
Answers
Answer: 490 m
Step-by-step explanation:
what is 5 to the 3rd power
Answers
Answer: 125
Step-by-step explanation: 5•5•5
Find the equation of the circle with center (4, 4)
and radius of 7.
A (x-4)+(y+4)*= 49
B (x– 4) +(y - 4) = 49
C (x+4)² – (y + 4) = 7
D (x+4)*+(y+4)2=7
Answers
a and b are the centre and you put in the inverse so as x=-4, a=-4. same for b as the y-coordinate is positive, it becomes negative
the last part is the radius of the circles squared so just 7^2 = 49 !
In a scale drawing of a house, 1/2 inch = 1 1/2 feet. If the length of a kitchen is 5 1/2 inches on a scale drawing, what is the actual length of the kitchen?
Answers
Answer:
16 1/2 feet
Step-by-step explanation:
The above question is calculated as:
1/2 inch = 1 1/2 feet.
5 1/2 inches = x
Cross Multiply
1/2 inch × x = 5 1/2 inch × 1 1/2 feet
x = 5 1/2 inch × 1 1/2 feet/ 1/2 inch
x = 11/2 × 3/2 ÷ 1/2
x = 11/2 × 3/2 × 2/1
x = 33/2 feet
x = 16 1/2 feet
Therefore, the actual length of the kitchen is 16 1/2 feet
Witch is the net for the figure shown?
Answers
circle the expression equivalent to (5x^3)^2
25x^5
25x^6
10x^5
10x^6
Answers
Answer:
It's 25x^6.
Thumbs-up (^_-)
ASAP WILL GIVE BRAILIEST!!!
Answers
Answer:
Step-by-step explanation:
6^10 can also be written as
b.6^8.6^2
6^8+2
610
d.(6^10)^1
6^10*1
6^10
Answer:
B and d are correct because does are the only two that equal 6^10 ( or 60466176 )
Step-by-step explanation:
Heidi solved the equation
3(x + 4) + 2 = 2 + 5(x – 4). Her steps are below:
3x + 12 + 2 = 2 + 5x – 20
3x + 14 = 5x – 18
14 = 2x – 18
32 = 2x
16 = x
Use the drops-downs to justify how Heidi arrived at each step.
Answers
Answer:
her first step was) Combining like terms= 12+2
her second step was) Combining like terms/ subtracting 5x from 3x= 5x-3x
her third step was) Adding to both sides 18= 14+18
her last step was) isolating the variable/ dividing 2 from both sides= 32/x.
Hope You Got It!
PLEASE MARK ME AS THE BRAINLIEST
helppppp meeeee plz i'll give brainliest!!!
Answers
Answer:
1
Step-by-step explanation:
2m + 4 = 6
2m = 6 - 4
2m = 2
m = 1
the answer is one.. ....
Look at the sequence of numbers.
6 12 18 24
a Write down the next number in the sequence.
b Write down the term-to-term rule.
C Write down the position-to-term rule.
Answers
Answer:
Here we have the sequence:
6, 12, 18, 24
We can assume that this is an arithmetic sequence, this is, the difference between any two consecutive terms is always the same, D.
To check this, let's find the difference between the consecutive terms:
12 - 6 = 6
18 - 12 = 6
24 - 18 = 6
So we can conclude that this is an arithmetic sequence, and the difference between any two consecutive terms is always 6.
a) Then the next number in the sequence will be equal to the previous number plus 6, this is:
24 + 6 = 30
The next number in the sequence is 30
b) The term-to-term rule is the rule that defines the n-th term based on the previous terms.
Here we already know that each term in this sequence is the previous one plus six, so we can write this as:
Aₙ = Aₙ₋₁ + 6
c) The position-to-term rule is the general one.
Here we need to know that, the first term, A₁ = 6
Then, the n-th term will be A₁ plus (n - 1) times 6.
Then the rule is:
Aₙ = A₁ + (n - 1)*6
Replacing A₁ by its value, the rule becomes:
Aₙ = 6 + (n - 1)*6