Step-by-step explanation:
4x³ + 19x² + 29x + 14
= (4x³ + 7x²) + (12x² + 21x) + (8x + 14)
= x²(4x + 7) + 3x(4x + 7) + 2(4x + 7).
= (x² + 3x + 2)(4x + 7).
Hence 4x³ + 19x² + 29x + 14 divided by 4x + 7 is x² + 3x + 2 or (x + 1)(x + 2).
The length of the base of an isosceles triangle is x. The length of a leg is 2x - 4. The perimeter of the triangle is 47. Find x.
Answer:
x = 11
Step-by-step explanation:
Remark
There are two legs. They are equal.
Equation
2x - 4 + 2x - 4 +x = 47 Combine like terms
Solution
5x - 8 = 47
5x - 8+8 = 47 + 8
5x = 55 Divide by 5
x = 11
Need help asap please
Use substitution to solve the
following system of equations.
-10x + 2y = 20 AND y = 3x + 2
pls pls help!
Answer:
(- 4, - 10 )
Step-by-step explanation:
Given the 2 equations
- 10x + 2y = 20 → (1)
y = 3x + 2 → (2)
Substitute y 3x + 2 into (1)
- 10x + 2(3x + 2) = 20 ← distribute parenthesis and simplify left side
- 10x + 6x + 4 = 20
- 4x + 4 = 20 ( subtract 4 from both sides )
- 4x = 16 ( divide both sides by - 4 )
x = - 4
Substitute x = - 4 into (2) for corresponding value of y
y = 3(- 4) + 2 = - 12 + 2 = - 10
solution is (- 4, - 10 )
Four less than the product of one and a number X.
Please help me.
Answer:
x−4
Step-by-step explanation:
The area of a circle is 9π ft². What is the circumference, in feet? Express your answer in terms of \piπ. (pi)
Answer:
6π feet.
Step-by-step explanation:
The area = π r^2 = 9π
So r^2 = 9π/π = 9
r = 3 ft.
So the circumference = 2πr
= 2*π*3
= 6π feet.
The circumference of a circle with radius 3 feet is 6π feet.
What are the area and perimeter of a rectangle?We know the perimeter of any 2D figure is the sum of the lengths of all the sides except the circle and the area of a rectangle is the product of its length and width.
We know the perimeter or circumference of a circle is 2πr and the area
is πr².
Given, The area of a circle is 9π ft².
Therefore, πr² = 9π.
r² = 9.
r = 3.
Now, we have a circle with a radius of 3 feet.
So, The circumference of the circle with radius 3 feet is,
= 2π×3 feet.
= 6π feet.
So, The circumference of the circle is 6π feet.
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Two restaurants each surveyed diners to find out the ages of people eating at their restaurants. The box plots show the results of the surveys.
Restaurant A
E
Restaurant B
+
10
+
15
+
50
20
45
55
60
25 30 35 40
Age of Diners (years)
Move options to the blanks to complete the statement, using data from the box plots.
than Restaurant B, because the
of data for Restaurant A is greater than
Restaurant A
that of Restaurant B.
served a greater variety of ages
served a greater number of diners
maximum
median
range
Answer:
Restaurant A served a greater variety of ages than Restaurant B, because the range of date for Restaurant A is greater than that of Restaurant B.
Step-by-step explanation:
Restaurant A is better that of Restaurant B, served a greater variety of ranges.
What is Box- plot?An illustration of variation in a set of data is called a box and whisker plot. A histogram analysis usually gives an adequate display, but a box and whisker plot can add more detail while enabling the display of different sets of data on the same graph.
Given:
According to the box plot.
Restaurant A serves 22 to 47 ranges
and, Restaurant B serves 28- 42 ranges.
Hence, Restaurant A serves better.
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7m (if m = 5).............
Answer:
the answer is 35
Step-by-step explanation:
7(5)=35
Answer:
35
Step-by-step explanation:
When a variable is next to a number it means you are doing multiplication, like 7xm. So if m=5 it would be 7x5. And 7x5= 35
7m (m=5)
=7xm
=7x5
=35
Which values will be part of the sequence?
3, 4.5, 6, 7.5, …
A. 9
B. 11.5
C. 15
D. 19.5
Answer:
9
just add 1.5 to each of the numbers
Answer:
9
Step-by-step explanation:
because 3, 4.5, 6, 7.5
3 to 4.5 it skips over 4 then 4.5 to 6 it skips over 5 and 5.5 and because the pattern i see it is 9 because it is gonna skip 8 and 8.5
90 is 72 percent of what number
Answer:
x=125
Step-by-step explanation:
suppose the number is x
72% of x is 90
=> 0.72x=90
=> x=90/0.72
=> x=125
The 90 is 72 percent of approximately 125. In other words, if the unknown number is 125, 72 percent of 125 would be equal to 90.
To calculate the number that 90 is 72 percent of, we can set up the proportion:
90 is to x as 72 is to 100.
This proportion can be expressed as:
90/x = 72/100.
To solve for x, we can cross-multiply:
90 * 100 = 72 * x.
Simplifying the equation:
9000 = 72x.
Next, divide both sides of the equation by 72:
9000/72 = x.
x ≈ 125.
Hence, 90 is 72 percent of approximately 125. In other words, if the unknown number is 125, 72 percent of 125 would be equal to 90.
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Is the relation shown in the table below a function? Explain.
(1,1)(3,9)(4,16)(3,27)
Find the measure of QA
Answer:
28
Step-by-step explanation:
3x+16=7x because they are the same length.
4x=16
x=4
Place x in 3x+16
12+16
28
Taylor is building a brick patio. A diagram of the patio is shown. Which is the area of Taylor's patio?
Answer:
we need the diagram
Step-by-step explanation:
Answer:
the answer is 36
Step-by-step explanation:
point (-4,-8) Reflected across the y-axis
Answer:
(4,-8)
Step-by-step explanation:
Where is the point on the opposite side of the y-axis?
The answer would be (4, -8)
Help me me me. Me me
Use quadratic regression to find the equation of a quadratic function that fits the given points.
x 0 1 2 3
y 29 42 62 38
Answer:
y = 26.45 + 32.45x - 9.25x
Step-by-step explanation:
Given the data:
X : _____ 0 _____ 1 ______2 _______ 3
Y : _____29 ____42 _____62 ______ 38
The quadratic regression model has the general equation :
y=A+Bx+Cx2
Fitting the data using a quadratic regression calculator, the equation of best fit obtained is ;
y = 26.45 + 32.45x - 9.25x
2. What is the value of x? Show your work
Answer:
x=7
Step-by-step explanation:
Find the ratio between both triangles
jk = 25, mn = 30
multiply 20 by the ratio 1.2 to get 24
then set 24=4x-4
Round 16,896 to the nearest thousand.
Answer:
17000
Step-by-step explanation:
Answer:
17000
Step-by-step explanation:
Mark as brainliest thanks!
may I receive help with this question
Answer:
X=20
Step-by-step explanation:
Answer:
C. x = 20
Step-by-step explanation:
1 /2 x+6−x=x−4−x
−1 /2 x+6=−4
−1 /2 x+6−6=−4−6
−1 /2 x=−10
( 2/ −1 )*( −1 /2 x)=( 2/ −1 )*(−10)
x=20
Malala is following this recipe for bread rolls.
She uses 200 ml of water.
How much of each of the other ingredients does she use?
Recipe: Makes 15 bread rolls
550 g flour
12 g salt
10 g yeast
30 ml oil
500 ml water
Answer:
Apart from the 200 grams of water, Malala will use 220 grams of flour, 4.8 grams of salt, 4 grams of yeast and 12 miligrams of oil.
Step-by-step explanation:
Since Malala uses 200 ml of water for her bread rolls, when the recipe indicates that 500 ml should be used, this implies that she is using 40% of the indicated measures.
Therefore, to know how much use of the remaining products, following with the same proportion, the following calculations must be made:
Flour: 550 x 0.4 = 220 g
Salt: 12 x 0.4 = 4.8 g
Yeast: 10 x 0.4 = 4 g
Oil: 30 x 0.4 = 12 ml
Move the numbers to the lines to order them from least to greatest.
1.25
|2|
2.5
|-9/4|
-3/2
Answer:
Im guessing, on a number line. Negative to the left, positive to the right they would be: |-9/4|, -3/2, 1, 25, |2|, and then 2.5.
Step-by-step explanation:
MARK AS BRAINLIEST PLZ!
PLEASE HELP!!! URGENT AND WILL MARK BRAINLIEST!!
Karen buys a water heater during a 50% off sale. If Karen pays $350, what was the original price? Please show work.
Answer:
700
Step-by-step explanation:
50% is half so multiply 350 by 2 and its 700.
Plz mark brainliest
please Simplify.
−4(3−1)+2
Answer:
-6 (PLS MARK BRAINLIEST)
Step-by-step explanation:
-12+4+2
-12+6
=-6
What fraction of 200 gallons is 171 L? Give your answer in simplest form. 1 gallon = 4.5 L.
WHOEVER CAN ANSWER THIS CORRECT FIRST I WILL MAKE A BRAINLIST
Answer:
757.08 is your answer
Step-by-step explanation:
Hope this helped!
Sorry for not answering sooner :(
PLEASE HELP MEEE
:))
Answer:
Question (1) is 5
Step-by-step explanation:
3x3=9
9+1=10
10
— = 5
2
Answer:
1.) 5
3²=9
9+1=10
10/2=5
2) 12
5×2=10
10-10=0
4×3=12
0+12=12
4) 69
3×2=6
6×3=18
18-5=13
13+10=23
23×3=69
I hope this helps:
your aunt lives at 1214 shady glen drive which is a 39-minute car trip from your house wich number in this problem could be rounded when giving someone directions to your aunt's house?
a.1214
b.39
8 is 32 times as many as 4
32 is 4 times as many as 8
4 times as many as 32 is 8
8 times as many as 8 is 232
Adam divides 32/8032. In which place should he write the first digit of the quotient?
Answer:
We have a quotient between a 2 digit number and a 4 digit number.
The usual rule for this type of problems is:
If the denominator has n more digits than the numerator, then the first digit will be in the nth position at the right of the decimal point.
If also, the denominator is larger than the numerator times 10^n, then the decimal will be moved another place to the right.
For example, if we divide 10 by 100 we have:
10/100
The denominator has one more digit than the numerator, then n = 1.
this means that the first digit of the quotient, will be on the first place at the left of the decimal point.
We can solve the quotient to get:
10/100 = 0.1
And, as we predicted, the first decimal is in the first place.
Now, with our quotient we have:
32/8032
n = 2.
and:
32*10^n = 3200
The denominator is larger than this, then we will move the first decimal to another place to the right.
Then we should expect to have the first decimal in the third place after the decimal point.
We can solve the quotient to get:
32/8032 = 0.0039
As we expected.
Justin is painting one of his living room walls gold. The area of the square wall is 85 ft2. Which measurement is closest to the side length of this wall in feet?
it's not 21 apparently
Answer:
The answer is 9.2 or just 9
Mo has five number cards.
Here is some information about his number cards.
• The cards are in ascending order.
• The range of the number cards is 32
The greatest number divided by the median number is 8
• The three numbers in the middle have a product of -36
What could Mo's number cards be?
Answer:
-16 -6 2 3 16
Step-by-step explanation:
Using basic knowledge of arithmetic operators, we find that a possible choice of Mo's number card is -16, -6, 2, 3 and 16.
What are arithmetic operators?The arithmetic operators perform addition, subtraction, multiplication, division, exponentiation, and modulus operations.
Given the information about the five numbers.
Let the five numbers be a < b < c < d < e.
Let a = -16 to begin with.
Given, range = 32 implies that e - a = 32.
e = 32 + a = 32 - 16 = 16
The greatest number divided by the median number is 8.
Greatest number = e = 16
Median = middle number = c
[tex]\frac{e}{c} = 8\\ \\c = \frac{e}{8} = \frac{16}{8} = 2[/tex]
The three numbers in the middle have a product of -36.
[tex]bcd = -36\\\\bd = \frac{-36}{2} = -18\\[/tex]
Since, bd = -18, one of b or d has to be negative.
We know, b < d, thus b is negative and d is positive number.
Also, b < 2 and d > 2.
The best possible choice is b = -6 and d = 3.
The 5 numbers chosen by Mo are -16, -6, 2, 3 and 16.
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How many 1/2's are in 3 1/2? *
Answer:
Step-by-step explanation:
7
Answer:
7
Step-by-step explanation:
3.5 divided by .5
