Answer:
6x3−2x2−11x+4
Step-by-step explanation:
the numbers after the x are squared
Select the correct answer.
What is the product of (x - 3) and (x + 7)?
[tex] {x}^{2} + 10 - 21[/tex]
Answer:
[tex] \boxed{ \boxed{ \bold{ {x}^{2} + 4x - 21}}}[/tex]Step-by-step explanation:
[tex] \sf{(x - 3)(x + 7)}[/tex]
Use the distributive property to multiply each term of the first binomial by each term of the second binomial.
⇒[tex] \sf{x(x + 7) - 3(x + 7)}[/tex]
⇒[tex] \sf{ {x}^{2} + 7x - 3x - 21}[/tex]
Collect like terms
⇒[tex] \sf{ {x}^{2} + 4x - 21}[/tex]
Hope I helped!
Best regards!!
Answer:
[tex] \boxed{\boxed{\boxed{\red{{x}^{2} + 4x - 21}}}}[/tex]
Step-by-step explanation:
[tex](x - 3)(x + 7) \\ x(x + 7) - 3(x + 7) \\ {x}^{2} + 7x - 3x - 21 \\ {x}^{2} + 4x - 21[/tex]
witch is the warmer temperature -9°F or -7°F
Answer:
-7°F
Step-by-step explanation:
At first, you might think that the answer is -9 because 9 > 7, right? Actually, the "rules" for numbers are switched when you are dealing with negative numbers. Therefore, -7 > -9 so -7°F is the correct answer.
Translate the following phrase into an algebraic expression using the variable x. Do not simplify,
the cost of x textbooks if one textbook costs $127
Answer:
127x
Step-by-step explanation:
The expression 127x will represent this situation.
Since x represents the number of textbooks, we can put the coefficient 127 in front of it to include the cost.
For example, 2 textbooks will be $254 if we plug in 2 as x into the expression, since 127(2) = 254.
Xanthe has 2/3
kg of beads. She shares the beads evenly between 9 friends.
How many kilograms does each friend receive?
Answer:
0.074 or 37/500
Step-by-step explanation:
also 7.4%
Someone please help me!!!!
Answer: see proof below
Step-by-step explanation:
Use the Pythagorean Identity: cos²Ф + sin²Ф = 1
Use the Difference Identity: cos(A - B) = cosA · cosB + sinA · sinB
Use the Double Angle Identity: cos 2Ф = 1 - 2sin²Ф
Proof LHS → RHS
LHS: (cosA - cosB)² + (sinA - sinB)²
Expand: cos²A - 2cosA · cosB + cos²B + sin²A - 2sinA · sinB + sin²B
Pythagorean Identity: 2 - 2cosA · cosB - 2sinA · sinB
Factor: 2(1 - (cosA · cosB + sinA · sinB))
Difference Identity: 2(1 - (cos(A - B))
Let Ф = (A-B)/2: 2(1 - cos2Ф)
Double Angle Identity: 2(1 - (1 - 2sin²Ф))
Simplify: 2(1 - 1 + 2sin²Ф)
= 4sin²Ф
Substitute (A-B)/2=Ф: 4sin²(A-B)/2
LHS = RHS: 4sin²(A-B)/2 = 4sin²(A-B)/2 [tex]\checkmark[/tex]
Solve the quadratic for x, then enter the numerical value of your solution. (If there are two solutions, either one will work.) 2(x-5)^2+7=79
Answer: X= -1 OR X= 11
Step-by-step explanation:
Step 1 : Equate ( x-5)² since it occurred twice, hence the reason 2 is added in front of (x-5)²
= (x-5)²
= (x-5)(x-5)
= (x²-5x-5x+25)
= (x²-10x+25)
Step 2: multiply the result by two since it occurs twice and also bring the equation
= 2 (x²-10x+25) +7 = 79
= 2x²- 20x+50+7 = 79
= 2x²- 20x+57 =79
Step 3: most quadratic equation are always equal to zero, let's make this one equal to Zero by subtracting 79 from both sides
= 2x²-20x+57-79 = 79-79
= 2x²-20x-22=0
Step 4: divide the equation by a common number to get the least coefficient of the three coefficients
Dividing the three by 2
(2x²-20x-22)/2 = x²- 10x- 11
Step 5: Factorise completely
Sub step 1 : the first term in the equation is X² which makes the first term coefficient 1; the second term in the equation is -10x which makes the second term coefficient -10, the constant has a coefficient of -11
Sub step 2: multiply the coefficient of the first term (1) and the constant (-11) which gives us (-11)
1*-11 = -11
Sub step 3: Get two numbers in such a way that the addition of the first number and the second number gives the second coefficient in the quadratic equation and the multiplication of the two numbers will give us the product of the first coefficient and the constant.
And the two numbers is +1 and -11, the sum of the two numbers will give us -10 and the product will give us -11.
Step 6: slot the two numbers (+1, -11) into the equation by making themr replace the second coefficient
x²-10x-11=0
= x²+x-11x-11 =0
Step 7: split the equation into two and Factorise further
= (x²+x)(-11x-11) =0
= x(x+1)-11(x+1) = 0
= x+1= 0 or x-11 =0
Step 8 split them into individual equation
= x+1= 0.
Subtract 1 from both sides
= X+1-1=0-1
= x= -1
Or X should be
= x-11=0
Add 11 to both sides
= X-11+11 = 0+11
= x= 11
pls answer the question with the pic below
Answer: Complementary
x=58
Step-by-step explanation:
barons "A salad bar has 7 ingredients, excluding the dressing. How many different salads are possible where two salads are different if they don't include identical ingredients?"
Answer: 128
Step-by-step explanation:
Given : Total ingredients =7
When we select any one of ingredient for salad, then total choices for each ingredient = 2 (Yes or No)
So for all 7 ingredients there will be [tex]2\times2\times2\times2\times2\times2\times2=2^7=128[/tex] choices [By fundamental principle of counting]
Hence, there are 128 different salads are possible where two salads are different if they don't include identical ingredients
Find the perimeter of the rectangle
10x - 3
2x + 6
Answer:
[tex]24x+6[/tex]
Step-by-step explanation:
We know that the perimeter of a rectangle's formula is [tex]2l + 2w = p[/tex], where l is the length and w is the width - p is the perimeter. We know the length and width, so we can substitute into the equation.
[tex](2\cdot(10x-3)) + (2\cdot(2x+6))\\\\(20x-6) + (4x+12)[/tex]
We can now combine like terms to get [tex]24x + 6[/tex].
Hope this helped!
Evaluate − 3 w − 5 p for w = − 4 and p = − 3
Answer:
27
Step-by-step explanation:
Given
- 3w - 5p ← substitute w = - 4 and p = - 3 into the expression
= - 3(- 4) - 5(- 3 )
= 12 + 15
= 27
Which of the following functions describes the sequence 4, –2, 1, –12, 14, . . .?
Answer:
-2
Step-by-step explanation:
-12 -14
Why are integers the same as rational numbers
Answer:
The rational numbers include all the integers, plus all fractions, or terminating decimals and repeating decimals. Every rational number can be written as a fraction a/b, where a and b are integers. If a number is a whole number, for instance, it must also be an integer and a rational.
Step-by-step explanation:
Richard purchased some books for $9.25 each. He paid a total of $46.25. If b is the number of books, which equation can be used to determine the total amount of books Richard bought? b + 9.25 = 46.25 46.25b = 9.25 9.25b = 46.25 46.25 - b = 9.25
Answer:
9.25b=46.25
Step-by-step explanation:
9.25b=46.25/:9.25
b=5
Richard purchased 5 books for $9.25 each
URGENT PLEASE HELP 50 POINTS AND WILL NAME BRAINLIEST An ice cream store has the pricing shown below. You want to determine the best value. The height of the cone is 4.5 in and the diameter is 2 in. The diameter of each scoop is 3 in. Assume the cone is stuffed full with ice cream. single is $3.50, double is $4.50, and triple is $5.50 Create a table showing the total cost of each size, the total volume of ice cream for each size, and the unit cost (per unit volume) of each size. Include units with your table entries. you dont have to create the table, but i really need the values!
hey can u pls answer this question i am really stuck I will award brainliest for the first correct answer
Answer for the first box = 6000
Answer for the second box = 1.004
Answer for the third box = 720
So the full equation is [tex]C(t) = 6000(1.004)^{12t} + 720t[/tex]
=======================================================
Explanation:
The compound interest formula is
A = P( 1+r/n )^(n*t)
where
P = amount deposited (principal)r = interest rate in decimal formn = number of times we compound per year (compounding frequency)t = number of yearsIn this case,
P = 6000r = 4.2% = 4.2/100 = 0.042n = 12 since there are 12 months in a year (it explains the 12 in the exponent in the answer)t = unknown, we leave this as isSo we go from this
A = P( 1+r/n )^(n*t)
to this
A = 6000( 1+0.042/12 )^(12t)
A = 6000(1.0035)^(12t)
A = 6000(1.004)^(12t)
The 1.0035 rounded to 1.004 when rounding to three decimal places, as the instructions mention.
So far we only considered the amount placed into the bank. But there's also the amount placed in the safe at home. We have $60 placed in here per month. This is 60*12 = 720 dollars per year. If t years go by, then a total of 720t dollars is put in the safe.
----------
So in summary we found
[tex]b(t) = 6000(1.004)^{12t}[/tex] = amount in savings account after t years go by
[tex]h(t) = 720t[/tex] = amount in safe after t years
leading to
[tex]C(t) = b(t) + h(t) = 6000(1.004)^{12t} + 720t[/tex]
9. If DF = 61 and EF = 18, find DE.
Answer:
43 if yousubtract it
STEP-BY-STEP EXPLANATION
The temperature in Anchorage, Alaska at 6 a.m. was 2°C. If the temperature drops 2 degrees each hour, what is the temperature in degrees Celsius at 2:00 pm
Answer:
-14°C
Step-by-step explanation:
6 + 8 = 14
So in 24 hour time that would be 2pm
From 6am to 2pm is 8 hours
If the degrees is going down by 2 you would times the 8 by 2 because it is doubled
That = 16
Then you'll minus 16°C from the 2°C
2°C - 16°C
= -14°C
In order to predict y-values using the equation of a regression line, what must be true about the correlation coefficient of the variables?
Answer: The correlation between variables must be significant
Step-by-step explanation: In order to make reliable predictions using the equation of a regression model, the correlation Coefficient between the dependent and independent variables must be significant (that is a correlation Coefficient value close to either 1 or - 1). This is because the range of value of the correlation Coefficient is between - 1 to +1 and the closer the correlation Coefficient value is to either of these numbers, depicts the strength of the relationship which exists between them hence, enabling us to make good and accurate predictions which are close to the actual value.
Regression Analysis is a statistical and reliable process for making predictions using the regression model.
The correct option is:
Option B. The correlation between variables must be significant
The regression line can be explained as:
1. The correlation coefficient between the dependent and independent variables must be significant.
2. The correlation coefficient value should be near 1 or -1.
3. Thus, the values closer to - 1 and +1 will depict the strength of the relationship between the coefficient values.
Thus, regression lines help to predict accurate and reliable results that are close to the actual value.
To know more about regression lines, refer to the following link:
https://brainly.com/question/4341286
MAKE W THE SUBJECT OF S=W/A
Answer:
w=sa
Step-by-step explanation:
move the a into multiplication on the other side so
w=sa
HOPE I HELPED
PLS MARK BRAINLIEST
DESPERATELY TRYING TO LEVEL UP
✌ -ZYLYNN JADE ARDENNE
JUST A RANDOM GIRL WANTING TO HELP PEOPLE!
PEACE!
Answer:
W = SA
Step-by-step explanation:
S = W/A
Multiply both sides by 'A'
S* A = [tex]\frac{W}{A }*A[/tex]
SA = W
W = SA
Solve for the value of x.
5^x+1= 5^2x-3
Answer:
4
Step-by-step explanation:
5ˣ⁺¹ = 5²ˣ⁻³
x+1 = 2x -3
x = 4
A bookstore contains 75972 books,divided in to three sections. The science represents 1/3 of the total books. The remaining books75%are business. How many books are in the math section?
Answer:
12,662 books
Step-by-step explanation:
Total number of books = 75,972
No. of science books = ⅓ of 75,972 = ⅓*75,972 = 25,324 books.
No. of business books = 75% of the remaining books = 75% of (75,972 - 25,324)
= [tex] \frac{75}{100}*50,648 = 37,986 [/tex]
No. of business books = 37,986
No. of maths books in the math section = 75,972 - (25,324 + 37,986)
= 75,972 - 63,310
= 12,662 books
suppose y varies jointly as x and z. Find y when x=5 and z=6, if y=144 when x=6 and z=10
Answer:
y=72
Step-by-step explanation:
y varies jointly as x and z
y=k*x*z
Where,
k= constant of proportionality
y=144, x=6, z=10
y=k*x*z
144=k*6*10
144=60k
Divide both sides by 60
144/60=k
2 24/60=k
2 6/15=k
2 2/5=k
k=12/5
Find y when x=5 and z=6
y=k*x*z
y=12/5*5*6
=360/5
=72
y=72
Josh wanted to buy a new shirt for a school dance. At the store, he couldn't decide between a purple plaid shirt and a scarlet striped shirt. Since the shirts were on sale for $19.95 each, Josh decided to buy them both. He saved a total of $9.10. If he saved the same amount on each shirt, what was the original price of each one?
Answer:
$24.50
Step-by-step explanation:
Money saved for each shirt:
=$9. 10/2
=$4.55
Original price of the shirt:
=$19. 95 + $4.55
=$24.50
Select the correct answer.
What is the product of (x - 3) and (x + 7)?
[tex] {x}^{2} + 10x - 21[/tex]
[tex] {x}^{2} + 4x - 21[/tex]
[tex] {x}^{2} - 4x - 21[/tex]
[tex] {x}^{2} - 10x - 21[/tex]
Expanding parentheses,
➝ (x - 3)(x + 7)
➝ x(x + 7) - 3(x + 7)
➝ x² + 7x - 3x - 21
➝ x² + 4x - 21
Option B
Explore more:-Expanding brackets involves removing the brackets by multiplying each term in the brackets by every term outside of the brackets. The process of expansion is also known as the distributive law. When expanding brackets be very careful of negative numbers.
Once a set of brackets has been expanded, it is possible for several like terms to appear.
When this is the case you can use the box method or FOIL to ensure you expand the set of brackets properly. In general:
[tex] \large{ \boxed{ \rm{(a + b)(c + d) = ac + ad + bc + bd}}}[/tex]
━━━━━━━━━━━━━━━━━━━━
Translate and solve: 51 more than y is greater than −204. Write your solution in interval notation.
Answer:
y > -255, or (-255, infinity)
Step-by-step explanation:
y + 51 > - 204
Solve for y: subtract 51 from both sides, obtaining:
y > -255, or (-255, infinity)
The solution of the inequality is y > -255.
What is inequality?When two expressions are connected by a sign like "not equal to," "greater than," or "less than," it is said to be inequitable. The inequality shows the greater than and less than relationship between variables and the numbers.
Given that translate and solve: 51 more than y is greater than −204. The inequality expression can be written as:-
y + 51 > - 204
Solve for y: subtract 51 from both sides, and solve the inequality:-
y > -255,
Hence, the solution to the inequality is y > -255.
To know more about inequality follow
https://brainly.com/question/24372553
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EVALUATE the expression
5x
—
2
for x= -3
please help me on this
Answer:
AX = 14
Step-by-step explanation:
The medians of a triangle intersect at its centroid.
The position of the centroid X from the vertex A is
AX = [tex]\frac{2}{3}[/tex] AL = [tex]\frac{2}{3}[/tex] × 21 = 14
Lana had 8 4/6 cups of flour. If she used 6 1/6 cups of flour, how much flour
did she have left?
Answer:
2 3/6 or 2 1/2
Step-by-step explanation:
8 4/6 - 6 1/6 = 2 3/6
A 30 ft cable extends from the floor of the lookout of a fire tower. The table is anchored from the ground 18 ft away from the base of the tower. What is the Hight of the floor of the look out tower.
=================================================
Explanation:
Assume the ground is completely flat and level. We have a right triangle with hypotenuse 30, and the horizontal base leg is 18. The vertical leg is unknown, so we'll call it x.
Use the pythagorean theorem to solve for x
a^2+b^2 = c^2
x^2+18^2 = 30^2
x^2 + 324 = 900
x^2 = 900 - 324
x^2 = 576
x = sqrt(576)
x = 24
The height of the tower's floor is 24 feet.
will mark as brainliest:)
The function for the cost of materials to make a hat is f(x) = 1/2x + 1, where x is the number of hats. The function for the selling price of those hats is g(fx)), where g(x) = x + 2. Find the selling price of 10
hats.
Answer:
8 dollars
Step-by-step explanation:
f(10)=6
g(6)=8
8 dollars