What is the product (2x-1)(x+4)
There are 4,315 pistachios in the bulk bin at the grocery store. Maria wants to split the pistachios into 40 packages so that each package has the same number of pistachios with none left over. Which explains whether or not it is possible?
divide total number by number of packages
4315 /40 = 107.875
it is not possible because it doesn't divide evenly
Let f(x) = 2x2 − 2x + 7 and g(x) = x2 + 9x − 6. find f(x) − g(x). (1 point) x2 − 11x + 13 x2 − 11x + 1 x2 + 7x + 1 x2 + 7x + 13
Answer:
[tex]x^2-11x + 13[/tex]
Step-by-step explanation:
Let [tex]f(x) = 2x^2 - 2x + 7[/tex] and [tex]g(x) = x^2 + 9x - 6[/tex]
We need to find f(x)- g(x)
Replace f(x) and g(x). then subtract the expressions
[tex]f(x)-g(x) =(2x^2 - 2x + 7)- (x^2 + 9x - 6)[/tex]
Remove the parenthesis and multiply negative sign inside second parenthesis
[tex]2x^2 - 2x + 7- x^2 - 9x + 6[/tex]
Combine like terms
[tex]x^2-11x + 13[/tex]
which graph shows the inequality b≤-7
FIFTHEEN POINTS BC I NEED THIS ASAP =
Billy is making a juice that contains 3 quarts of water, 1 quart of grape juice, 1 quart of orange juice, and 2 quarts of strawberry juice. He is putting his homemade juice into a jug that can hold 2 1⁄2 gallons. How many more quarts of juice can Billy still make before filling the jug?
What is the difference between -5 squared and -5 parenthesis squared?
Estimate how many times larger 7 x 1010 is than 13 x 108.
Answer:
Step-by-step explanation:
Given that line bd is both the median and altitude of triangle abc, congruence postulate sas is used to prove that triangle abc is what type of triangle
Answer:
Triangle ABC is an isosceles triangle.
Step-by-step explanation:
Let AD represent both the median and altitude of triangle ABC.
A median divides the side in two equal parts so BD=BC.
An altitude is a perpendicular drawn .A perpendicular makes an angle of 90°. Hence <ADB=<ADC=90°
AD is the side common to both the triangles ADB and ADC.
Hence Δ ADB≅ΔADC by SAS congruence postulate.
So AB=AC by c.p .c .t.c(congruent parts of congruent triangles are congruent)
Hence by definition of Isosceles triangle ΔABC is an isosceles triangle.
Solve showing all work, simplify completely: 6/12+1/3
which type of triangle is best
Why do astronomers say that the sun rotates once every 27 to 31 days, rather than give an exact number?
Astronomers provide a range for the Sun's rotation period due to differential rotation, with varying speeds at different latitudes.
This question demands basic understanding of planetaty motion i.e rotation and revolution in general and about motion of sun in particular
Astronomers say that the Sun rotates once every 27 to 31 days because of the phenomenon known as differential rotation. This means that the speed of rotation of the Sun varies based on its latitude.
The rotation period of the Sun is about 25 days at the equator, 28 days at latitude 40°, and 36 days at latitude 80°. Due to this variable rotation speed, astronomers provide a range rather than an exact number for the Sun's rotation period.
Given six distinct pairs of gloves, 12 distinct gloves in all, how many ways are there to distribute two gloves to each of six sisters
a) if the two gloves someone receives might both be for the left hand or right hand.
b) if each sister gets one left and one right.
Soln:
a) So i thought about dissectng the problem first into finding the number of ways in which I could make pairs of gloves:
C(12, 2)
then I asked how many ways could the sets of gloves be assigned amongst the 6 sisters:
6!6!
and taking the product of this would give me the amount of ways this could occur:
= C(12,2) * 6!
then for part b)
using this same idea except:
C(6,1) C(6,1) for the left and right glove each .
the C(6,1)*C(6,1)*6!
Right way to think them through?
Does tis table represent a function ?
Answer: A function is so F(X) = Y where for every X exist only one Y, in this case you can see that F(3) = 4 and F(3) = 3, so the independent variable x = 3, has two solutions y.
So the solution is A, because a function cannot have two different y values for one x value.
Ryan made 4 identical necklaces, each having beads and a pendant. the total cost of the beads and pendants for all 4 necklaces was $18.80 . if the beads cost a total of $9.20 , how much did each pendant cost?
What's the intuition behind the equation 1+2+3+⋯=−1121+2+3+⋯=−112 ?
I need help with an Exponential Growth & Decay Word Problem. This is the problem: Mr. Jacobs won $1,000,000 in the lottery. He withdraws 10% of the money every year. How much money will he have left after 20 years? [Round your answer to the nearest dollar]
Round 35.78 to the nearest whole second
Please help! Need to pass a module test!
What is the equation of the line, in slope-intercept form, that contains the points (−1, 8) and (2, −1)?
y = −3x + 5
y = −x + 5
y = x + 5
y = −x + 3
Why do two negatives equal a positive when adding?
18 girls out of 32 students is what percent?
18 girls represent 56.25 percent of the total number of students.
To find what percent 18 girls out of 32 students represent, you can set up a proportion comparing the number of girls to the total number of students. This proportion is represented by the fraction 18/32. To convert this fraction into a percentage, multiply it by 100.
Here's the calculation step by step:
Divide 18 by 32 to get the decimal form.
Multiply the result by 100 to get the percentage.
Performing the calculation gives:
(18/32) x 100 = 56.25%
Therefore, 18 girls represent 56.25 percent of the total number of students.
There are 105 members of the high school band. Of these members, 1/5 play percussion instruments. How many members play percussion?
Mario fills out an information card. His Zip code is 83628. His area code is 208. What is the value of the 2 in comparison in 83,628 and 208
The value of the digit 2 in both 83,628 and 208 is 200 because it is in the hundreds place in both numbers. The comparison shows that the absolute value of the digit 2 is the same in both cases despite being part of different overall numbers.
Explanation:The value of the digit 2 in the numbers 83,628 and 208 represents different values because of its position in each number, which is determined by the place value system. In the number 83,628, the digit 2 is in the hundreds place, which means it represents 200. In the number 208, the 2 is in the hundreds place as well, so it also represents 200.
However, to understand the value of the 2 in comparison between the two numbers, you must consider the whole numbers. While the value of 2 as an individual digit is the same in both cases (200), the overall values of the numbers are different. In a more complex mathematical context, when comparing values within different numbers like this, the absolute value of the digits may be the same, but their contributions to the numbers they are part of can vary based on the other digits in the number.
Nonetheless, in this comparison, the two-digit 2s both contribute the same absolute value of 200 to their respective numbers because they are both in the hundreds place.
In quadrilateral ABDC, AB ∥ CD. Which additional piece of information is needed to determine that ABDC is a parallelogram?
AB ≅ CD
AC ≅ BD
AB ⊥ BD
CD ⊥ BD
The answer is B AC ≅ BD Since you already know that ab ll cd, all you need to know is that ac is bd
Answer:
B. AC ≅ BD
Step-by-step explanation:
Since the definition of a parallelogram literally says that it's a quadrilateral with 2 parallel sides, we have AB || CD so the 2 other sides (AC and BD) need to be either similar or parallel (either works, due to that if they're similar we can prove that since AB || CD that they're parallel).
The function models the cost, in dollars, of a rug with width x feet. What is the cost of a rug that is 9 feet wide?
If jimmy as three balls and gives away one and if earl gives jimmy fifteen balls and jimmy loses seven. how many balls does he have?
Answer: Jimmy has 10 balls .
Step-by-step explanation:
Since we have given that
Number of balls Jimmy has = 3
Number of lost balls = 1
Remaining balls Jimmy has = 3-1=2
Number of balls Earl gives to Jimmy = 15
Now,
Total Number of balls Jimmy has = 15+2=17
Again,
Number of balls Jimmy lost = 7
So,
Remaining balls Jimmy has = 17-7=10
So, he has 10 balls at last .
What are the coordinates of the centroid of a triangle with vertices X(−4, 0) , Y(−1, 4) , and Z(2, 2) ? Enter your answer in the boxes.
The centroid of a triangle is the point where the medians of the triangle meets.
The coordinates of the centroid is (-1,2)
The coordinates of the triangle are given as:
[tex]X = (-4,0)[/tex]
[tex]Y = (-1,4)[/tex]
[tex]Z = (2,2)[/tex]
The coordinates of the centroid is:
[tex]C = \frac 13(x_1 + x_2 + x_3,y_1+y_2+y_3)[/tex]
So, we have:
[tex]C = \frac 13(-4-1 + 2,0+4+2)[/tex]
[tex]C = \frac 13(-3,6)[/tex]
Expand
[tex]C = (\frac 13\times -3,\frac 13\times 6)[/tex]
[tex]C = (-1,2)[/tex]
Hence, the coordinates of the centroid is (-1,2)
Read more about centroids at:
https://brainly.com/question/14317682
Please help me with this question!!
2000 geometry question im i correct
How many slices of pizza will ashley buy if the price is 1.00?
4 slices of pizza (gradpoint)
20 point to whoever answers first
What is the MEDIAN of may's temperatures
A. 72
B. 61
C. 71
D. 74
total the temperatures given
total = 497
divide by how many they gave (7)
497 / 7 = 71
answer is C 71 degrees
Answer:
c
Step-by-step explanation:
497 / 7 = 71