Answer:
x = 4
Step-by-step explanation:
Given
2x² - 7x - 4
To solve for x , equate the expression to zero
2x² - 7x - 4 = 0 ← in standard form
(x - 4)(2x + 1) = 0 ← in factored form
Equate each factor to zero and solve for x
x - 4 = 0 ⇒ x = 4
2x + 1 = 0 ⇒ 2x = - 1 ⇒ x = - [tex]\frac{1}{2}[/tex]
Thus the positive value of x is x = 4
Answer:
x=4
Step-by-step explanation:
Hope this helped have an amazing day!
Which expression is equivalent to the one below?
3(10+)
-5
1
4
-5
8
5+
1
8
1
-5+
4
Answer: 1 and 5 ?
i'm so confused o-o
Step-by-step explanation: i have no idea what i'm doing i just picked a random answer, i'm very sorry if i'm wrong :c
Answer:
Do you have a picture, I can answer you faster?
What did the pig say when the farmer pulled it by the tail
Answer:
Without me you will surely die. Too much of me and like a pig you may lie. What am I?
Step-by-step explanation:
Oink Oink That ain't my tail im a male
if x2=18x+y and y2=18y+x, then find the value of root
Answer:
[tex]\sqrt{x^2+y^2+1}=18[/tex]
Step-by-step explanation:
We are given:
[tex]x^2=18x+y\qquad\qquad[1][/tex]
[tex]y^2=18y+x\qquad\qquad[2][/tex]
Subtracting [1] and [2]:
[tex]x^2-y^2=18x+y-(18y+x)[/tex]
Operating:
[tex]x^2-y^2=18x+y-18y-x[/tex]
Recall:
[tex]x^2-y^2=(x-y)(x+y)[/tex]
Substituting:
[tex](x-y)(x+y)=18x+y-18y-x[/tex]
Rearranging:
[tex](x-y)(x+y)=18x-18y-(x-y)[/tex]
[tex](x-y)(x+y)=18(x-y)-(x-y)[/tex]
Dividing by x-y (recall x≠y):
[tex]x+y=18-1=17[/tex]
[tex]x+y=17\qquad[3][/tex]
Now we add [1] and [2]:
[tex]x^2+y^2=18x+y+18y+x[/tex]
Rearranging:
[tex]x^2+y^2=18x+18y+x+y[/tex]
[tex]x^2+y^2=18(x+y)+(x+y)[/tex]
[tex]x^2+y^2=19(x+y)[/tex]
Substituting from [3]
[tex]x^2+y^2=19*17=323[/tex]
Adding 1:
[tex]x^2+y^2+1=324[/tex]
Taking the square root:
[tex]\sqrt{x^2+y^2+1}=\sqrt{324}=18[/tex]
Thus:
[tex]\mathbf{\sqrt{x^2+y^2+1}=18}[/tex]
A CD that has a regular price of $15.50 is on sale at a 25% discount. What is the sale price with a 7% sales tax? Round to the nearest cent.
Answer:
The answer should be $12.43
Determine and state whether quadrilateral ABCD is a parallelogram.
Plzzz helpp!!!
Please look at the picture I’m timed !!
Answer:
[tex]k = 2.5[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Step-by-step explanation:
Step 1: Define
[tex]\frac{7.6}{2} = \frac{9.5}{k}[/tex]
Step 2: Solve for k
Cross-multiply: [tex]7.6k = 2(9.5)[/tex]Multiply: [tex]7.6k = 19[/tex]Isolate k: [tex]k = 2.5[/tex]Answer:
The answer is K+2.5
Step-by-step explanation:
Pleaseeee helpppp !!!!!!!! Will mark Brianliest !!!!!!!!!!!!
Answer:
∠ JHF = 69°
Step-by-step explanation:
Since HJ is a midline then it is parallel to EG , thus
∠ JHF and ∠ GEH are corresponding and congruent, then
7x + 62 = 79 - 10x ( add 10x to both sides )
17x + 62 = 79 ( subtract 62 from both sides )
17x = 17 ( divide both sides by 17 )
x = 1
Thus
∠ JHF = 7x + 62 = 7(1) + 62 = 7 + 62 = 69°
Answer:
7x + 62 = 180
7x= 180 - 62
x = 118 / 7
x = 16
7 × x = 7 × 16
112 + 62 = 174
Step-by-step explanation:
HOPE ITS CORRECT..
A meerkat was digging a new path to get to his home 8 ft below the surface. He hit a stump and dug 15 ft lower so the roots would not be in his path. What elevation is the meerkat?
Answer:
The elevation is [tex]32.3^{o}[/tex].
Step-by-step explanation:
The home of the meerkat is 8 feet below the surface. So that the root of the stump would not be in his path, he dug 15 feet lower.
This can be represented by the sides of a right angled triangle. Applying the appropriate trigonometric function, let the elevation be represented by θ.
Then,
Sin θ = [tex]\frac{opposite}{hypotenuse}[/tex]
= [tex]\frac{8}{15}[/tex]
Sin θ = 0.5333
⇒ θ = [tex]Sin^{-1}[/tex] 0.5333
= 32.287
θ = [tex]32.3^{o}[/tex]
The elevation of the meerkat is [tex]32.3^{o}[/tex].
for
A purse costs $21.50 plus 7.5% tax. How much tax will a customer pay
the purse?
A)$0.75
B)$1.61
C)$3.76
D$16.13
7 + 2 (a -3) = -9
What is the answer do this?
Answer:
7+2(a-3)=-9
a= -5
Step-by-step explanation:
7+2(a-3)=-9
Distribute 2 through the parentheses
Example: 7+2a-6=-9
Next: 7+2a-6=-9
Subtract the numbers
1+2a=-9
Move constant to the right hand side and change its sighn 2a=-9-1
2a=-9-1
Calculate the difference
2a=-10
Divide both sides of the equation by 2
Answer: a=- -5
The difference between two num-
bers is 24. What are the numbers
if their sum is 78?
(Please help me!)
Answer:
51 and -27
Step-by-step explanation:
The sum of two numbers is 24 and their difference is 78. What are the two numbers? Let's start by calling the two numbers we are looking for x and y.
The sum of x and y is 24. In other words, x plus y equals 24 and can be written as equation A:
x + y = 24
The difference between x and y is 78. In other words, x minus y equals 78 and can be written as equation B:
x - y = 78
Now solve equation B for x to get the revised equation B:
x - y = 78
x = 78 + y
Then substitute x in equation A from the revised equation B and then solve for y:
x + y = 24
78 + y + y = 24
78 + 2y = 24
2y = -54
y = -27
Now we know y is -27. Which means that we can substitute y for -27 in equation A and solve for x:
x + y = 24
x + -27 = 24
X = 51
Summary: The sum of two numbers is 24 and their difference is 78. What are the two numbers? Answer: 51 and -27 as proven here:
Sum: 51 + -27 = 24
Difference: 51 - -27 = 78
Answer:
The numbers are 27 and 51
Explanation
x - y = 24
x + y = 78
Add together the equations
2x = 102
x = 51
Put into equation
51 - y = 24
27 = y
g(x)= 3x-5
h(x)=2/2x+3
write h(g(x)) as an expression terms of x
Answer: h(g(x))= 2/6x-7
Step-by-step explanation:
1.h(g(x))= 2/(g(x))+3
2.g(x)= 3x-5
h(g(x))= 2/2(3x-5)+3
=2/6x-10+3
=2/6x-7
Which algebraic expression has like terms?
9n7 - 2n+3-4112
7 + 3n-3-672
7n+4n-3m-6n?
612 -4n4+6n-5772
Answer:
the answer is 612 -4n4+6n-5772
The expression that has like terms is (C) 7n+4n-3m-6n.
What is an expression?An expression can be as simple as a single number or variable, or it can be more complex, involving multiple operations and variables.
For example, the expression "3x + 4" contains the variable x, along with the constant values 3 and 4, and the operations of multiplication and addition.
Like terms are terms that have the same variables raised to the same powers.
In the first expression, 9n^7 and -2n have different powers of n, so they are not like terms. The constant term, -4112, is also not like any other term.
In the second expression, 3n and -3 are like terms, as they are both constants with no variables.
In the third expression, 7n, 4n, and -6n are all like terms because they all have the same variable, n, raised to the first power.
In the fourth expression, -4n^4 and 6n have different powers of n, so they are not like terms. The constant term, 612-5772=-5160, is also not like any other term.
Therefore, the expression that has like terms is (C) 7n+4n-3m-6n.
To know more about an expression follow
https://brainly.com/question/12517367
#SPJ7
PLEASE HELP!!!!!!!What has to be true if you want to solve a quadratic?
Answer:
Here you go
Step-by-step explanation:
The quadratic formula helps you solve quadratic equations, and is probably one of the top five formulas in math. Then the formula will help you find the roots of a quadratic equation, i.e. the values of x where this equation is solved.
Which equation matches the graph?
In the xy graph, the range of the x axis is zero to four by increment of one. The range of y axis is zero to eight by increment of one. On both axes every alternate tick mark is labeled. On the graph, there is a line passing through the points (2, 2) and (0, 8).
Answer:
[tex]y = -3x +8[/tex]
Step-by-step explanation:
The graph diagram is not given; however, the equation can be solved from the given points
(2,2) and (0,8)
This is represented as:
[tex](x_1,y_1) = (2,2)[/tex]
[tex](x_2,y_2) = (0,8)[/tex]
Calculate slope (m)
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
[tex]m = \frac{8 - 2}{0 - 2}[/tex]
[tex]m = \frac{6}{- 2}[/tex]
[tex]m =-3[/tex]
The equation is calculated using:
[tex]y - y_1 = m(x - x_1)[/tex]
[tex]y - 2 = -3(x - 2)[/tex]
[tex]y - 2 = -3x + 6[/tex]
Add 2 to both sides
[tex]y - 2 +2= -3x + 6+2[/tex]
[tex]y = -3x + 6+2[/tex]
[tex]y = -3x +8[/tex]
Write the expression as a single multiplication sentence without
parentheses.
11 × (15 + 5)
Answer:
11x20
Step-by-step explanation:
15=5 equals 20 so 11x20 is 220
2. Two rectangular fields with identical shapes and areas are to be fenced side by side. The total area enclosed is 8mi^2 and the perimeter for all the fencing is 16 miles. Find the possible dimensions of one of the fields (2 possible answers).
Step-by-step explanation:
Let length is x and breadth is y.
The formula for the area and the perimeter of a rectangle is given by :
A = xy
P = 2(x+y)
Here, A = 8 mi² and P = 16 miles
Putting all the values,
xy = 8
y=8/x ......(1)
2(x+y) = 16
x+y = 8 .....(2)
Put equation (2) in equation (1) as follows :
[tex]x+\dfrac{8}{x}=8\\\\x^2+8=8x\\\\x^2-8x+8=0[/tex]
When we solve, we get :
x = 6.82 miles, 1.17 miles
Put the value of x in equation (1)
When x = 6.82 miles,
y = 8/6.82
y = 1.17 miles
When x = 1.17 miles,
y = 8/1.17
y = 6.82 miles
Hence, the dimension of the field is 6.82 miles and 1.17 miles.
I had $3
My ma gave me$10
My uncle n auntie gave me $20
My grandpa gave me $100
I still had $6 more
How much did i have before this??
Answer:
133 bucks can i get brainliest
Step-by-step explanation:
Which math expression means "the sum of 270 and 180"?
Answer:
A
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
Sum means to add so answer A is correct
how do u add really big fractions
Answer:
It depends on your situation
Step-by-step explanation:
If you have a mixed fraction, for example: 5 23/3000 + 101 777/3000 you would have to make them irrational numbers and add them. Like so: 3000x5 = 15000. 15000+23 = 15023. 15023/3000. Same process but this time you get 303777/3000. You then add the numerators (top numbers) and you'll get the sum over 3000.
For regular fractions you simply add the numerators. If your denominators are not the same, you need to find a common term that both can fit into. If the denominators are not the same, no matter the size of the fraction, you cannot add it.
To get system B, the
equation. The solution to system B
equation in system A was replaced by the sum of that equation and
v times the
v the same as the solution to system A
Answer:
This is confusing what are you looking for?
Step-by-step explanation:
Solve A= Iw for I.
I need help please
Answer:
After solving the given formula for l, we get
l = A/w
Step-by-step explanation:
Given formula is:
A = lw
The given formula is the formula for area of a rectangle.
Solving for a particular variable means that the variable has to be isolated on one side of the equation.
In order to solve,
Dividing both sides by w
[tex]\frac{A}{w} = \frac{lw}{w}\\l = \frac{A}{w}[/tex]
Hence,
After solving the given formula for l, we get
l = A/w
PLS HELP ASAP!!!!!!!!!!!!!!
Answer:
okay, but with what should i help?
Can you help me with this
Answer with what
Step-by-step explanation:
use a proportion to find the length of side x for the pair of similar figures
Answer:
30.8
Step-by-step explanation:
1. Write the ratio for the smaller triangle as 14/10 and the ratio for the larger triangle as x/22.
2. Set the ratios equal to each other.
14/10 = x/22
3. Cross multiply and solve for x.
14 x 22 = 308
10 x x = 10x
4. Divide by 10
x = 30.8
Answer:
30.8cm they are correct
Step-by-step explanation:
i am from connexus 8th grd pre algrabra
unit 5 lesson 3
1. 1:2
2. C. yes they are similar they have porportional side lengths and = ange measures
3. x = 4.5m
4. x = 30.8cm
5. x = 6 m
8x − 4y = −16
3x + 15y = −6
Answer:
good job that is correct
Step-by-step explanation:
goooooooooooooooooooooooood joooooooooooooooob
yep
For values of x when x + 0, which number property is shown below?
17x () = 172
O associative
0 commutative
O multiplicative identity
division property of zero
Assume the average child weighs 40 pounds at age 3. Assume the
average child weighs 70 pounds at age 6. What is the average number of
pounds the child gains per year between ages 3 and 6?
Answer:
10 i think
Step-by-step explanation:
Answer: 10 pounds per year
The given unit rate is 30 pounds every 3 years.
Now, we will divide 30 pounds by 3 years.
30 pounds ÷ 3 years = 10 pounds per year
The answer is 10 pounds per year.
phrases can be used to represent the inequality 6.5x+ 1.5 s 21? Select two options. The product of 6.5 and the sum of a number and 1.5 is no more than 21. The sum of 1.5 and the product of 6.5 and a number is no greater than 21. O The product of 6.5 and a number, when increased by 1.5, is below 21. The product of 6.5 and a number, when increased by 1.5, is at most 21. The sum of 1.5 and the product of 6.5 and a number is at least 21. Save and Exit Net Mark this and return
This question is incomplete
Complete Question
Phrases can be used to represent the inequality 6.5x+ 1.5 ≤ 21? Select two options. The product of 6.5 and the sum of a number and 1.5 is no more than 21. The sum of 1.5 and the product of 6.5 and a number is no greater than 21. O The product of 6.5 and a number, when increased by 1.5, is below 21. The sum of 1.5 and the product of 6.5 and a number is at least 21.
Answer:
The product of 6.5 and a number, when increased by 1.5, is at most 21.
The product of 6.5 and a number, when increased by 1.5, is below 21.
Step-by-step explanation:
We are given the inequality is: 6.5x+ 1.5 ≤ 21
The sign ≤ is known as Less than or equal to.
≤ can also be said to be = at most
Therefore, the Phrases that represents the inequality
6.5x+ 1.5 ≤ 21 is:
* The product of 6.5 and a number, when increased by 1.5, is at most 21.
* The product of 6.5 and a number, when increased by 1.5, is below 21.
Answer:
b and c
Step-by-step explanation:
whats the LCM of 5 and 60?