Answer:
A) A coordinate grid is shown from negative 10 to positive 10 on the x axis and also on the y axis. Two lines are shown intersecting on the ordered pair (3, 8)
Step-by-step explanation:
Given equations:
[tex]\textsf{Equation 1}: \quad y=-2x+14[/tex]
[tex]\textsf{Equation 2}: \quad y=2x+2[/tex]
Substitute Equation 2 into Equation 1 and solve for [tex]x[/tex]:
[tex]\implies 2x+2=-2x+14[/tex]
[tex]\implies 4x=12[/tex]
[tex]\implies x=3[/tex]
Substitute found value of [tex]x[/tex] into Equation 2 and solve for [tex]y[/tex]:
[tex]\implies y=2(3)+2=8[/tex]
Therefore, the solution to the system is (3, 8).
This is the point of intersection of the two lines.
if Bill
deposits $3000 in an account that earns 6.5% compound interest annually for 3.5 years.
How much interest will he have earned?
Answer:
$3,623.84 Exact answer without rounding | $3,623.85 ~ (Approximent Answer with rounding.)
Step-by-step explanation:
Compound Interest Has a Specific Formula:
This case is Exponential Growth.
Formula: y= ab^x
You need to set up the equation.
First we need to define the rate of growth meaning what do you have to do for the 6.5%.
You need to do 100% + 6.5% = 106.5%
You need to convert the percent to a decimal which will be 1.065
Now we need to start plugging things into our formula to solve.
Your initial Starting amount was $3000
So you need to have y=3000(b)^x
We now know that the rate of growth is 1.065 so the b would be 1.065
y=3000(1.065)^x
Our power to x is our 3.5 years.
Our Equation now:
y=3000(1.065)^3
Now you need to use a calculator to do this due to the amount of decimals and digits.
Remember pemdas when doing this!!!
The answer should result to $3,623.84 but if rounded then: $3,623.85
PLEASE HELP!! WILL GIVE BRANLIEST
Help picture below problem 17
Answer:
b= 7
Step-by-step explanation:
Answer:
Missing Side = 7 feet
Step-by-step explanation:
by Pythagora
25² = P² + 24²
625 - 576 = P²
P² = 49
P = √49
P = 7 feet
α4 + β4 in α+ β and α β terms
Step-by-step explanation:
[tex] { \alpha }^{4} + { \beta }^{4} = ( {( { \alpha }^{2} })^{2} + {( { \beta }^{2} })^{2} [/tex]
[tex] = {( { \alpha }^{2} + { \beta }^{2} })^{2} - 2( { \alpha }^{2} )( { \beta }^{2} )[/tex]
[tex] {( {( \alpha + \beta )}^{2} - 2 \alpha \beta ) }^{2} - 2( { \alpha )}^{2} ( { \beta )}^{2} [/tex]
I hope it helped you
A distribution has a mean of 70.If 5 points are added to each individual score, the new mean would be
Answer:
well its free
Step-by-step explanation:
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Quentin works as a used car salesman, where he earns $8 per hour and an average commission
of $260 per car sold. He wants to earn at least $1040 per week. Write an inequality to represent this scenario, define your variables and explain why you chose them.
Answer:
Step-by-step explanation:
$8 per hour + average commision $260 per car sold ≥ $1040 per week.
This two numbers can make 1040 dollars a week or less. It depends on how many cars he can sell.
While researching the industry she is interested in, Demi sees that the average unemployment rate is 6.3%. How many people, out of every 250, are unemployed? (2 points)
15.75
39.68
45.50
157.5
Answer:
15.75 is 6.3% of 250.
Formula:
[Percentage] x [Number Given] = [New number]
If p(x)=x3-1 then find p(1) and P(-1)
Step-by-step explanation:
p(x)=x³-1
p(-1)=(-1)³-1=(-1)-1=(-2)
p(-1)=(-2)
p(1)=(1)³-1=1-1=0
p(1)=0
Determine the zeros of x^2 + 19x = 6x - 30
Answer:
The number of Zeros (roots) is
-3 and -10
Step-by-step explanation:
x^2 + 19x = 6x - 30
So can someone explain how the heck does 4 x 4 x 4 = 64??
Cause I keep on getting 12 so like wth??
Answer:
it is more like, 4x4=16
16x4=64
Step-by-step explanation:
I know it can be confusing, but you will eventually get it :)
i think you were adding 4+4+4=12, but that is not what you are supposed to do here.
Hope i helped :)
Select the quadratic that has roots x = 8 and x = -5.
A
x2 + 3x - 40
B
x² – 3x – 40
C
x? + 13x + 40
D
x? - 13x + 40
[tex]\text{ The roots are}~ \alpha = 8~ \text{and}~ \beta = -5\\\\\text{Equation for the given roots,}\\\\x^2 -(\alpha +\beta )x +\alpha \beta = 0\\\\\implies x^2 -(8-5)x + 8(-5)=0\\\\\implies x^2 -3x -40=0\\\\\text{Hence, the answer is option B}[/tex]
The value of y varies directly with x, and y = 18 when x = 12. Find y when x = 60.
[tex]\qquad \qquad \huge \pink {\sf{☁Answer☁}} \\ \\ [/tex]
→ Here,
y varies directly as x means that y = kxhere value of (k) is not knownby substituting the values of x and y, y = 18 when x = 12
[tex]\rm{y = kx} \\ \\ \rm{18 = 12k} \\ \\ \rm{k = \cancel \frac{18}{12} } \\ \\ \rm{ k = 1.5}[/tex]
Now, substituting value of k nd x in y = kx
x = 132k = 1.5 in y = kx[tex] \rm{y = (1.5 \times 60 )} \\ \\ \rm{y = 90}[/tex]
[tex]\sf{\:мѕнαcкεя\: ♪...}[/tex]
What shape is this cross-section?
O A. Circle
OB. Trapezoid
O C. Rectangle
O D. Triangle
Answer:
C. rectangle is cross section shape
13tX 9
7. Dareen's family now wants to Install 1-foot-square terra-cotta tiles in the entryway and kitchen, and 4-inch-square blue tiles on each bathroom floor. The
terra-cotta tiles cost $ each, and the bathroom tiles cost 45€ cach. How many of each kind will they need? What will all the tiles cost?
The total number of terra-cotta tiles needed is 220 tiles.
The total number of blue tiles needed is 4428 tiles.
The cost of all the tiles would be $3,092.60.
What is the total number of tiles needed?The first step is to determine the area of the entryway and the kitchen.
Area of the entryway = length x width
(22 - 18) x 10 = 40 ft²
Area of the kitchen = 10 x 18 = 180ft²
Sum of the areas of the entryway and the kitchen = 180 + 40 = 220 ft² = 220 tiles
Total cost = 220 x $5 = $1100
Areas of the bathroom floors = (10 x 6) + (7 x 9) = 123ft²
Convert ft² to in²
1 ft² = 144in²
123 x 144 = 17,712 in²
Number of tiles needed = 17,712 / 4 = 4428 tiles
Total cost = 4428 x 0.45 = $1992.60
Total cost = $1992.60 + $1100 = $3,092.60
Here is the complete question: Dareen's family now wants to Install 1-foot-square terra-cotta tiles in the entryway and kitchen, and 4-inch-square blue tiles on each bathroom floor. The
terra-cotta tiles cost $5 each, and the bathroom tiles cost 45€ cach. How many of each kind will they need? What will all the tiles cost?
To learn more about how to calculate the area of a rectangle, please check: https://brainly.com/question/16595449
How do u substitute 5x-y=-5 3x-6y=24
Find the product of (x - 5)2
-
O x2 + 10x + 25
O x2 - 10x + 25
O x2 - 25
-
O x2 + 25
Mr. Torres has a class of 17 students. He can spend $24 on each student to buy math supplies for the year. He first buys all of his students calculators, which
costs a total of $77.35. After buying the calculators, how much does he have left to spend on each student?
Answer:
She has a class of 17 kids. At $24 each, she can spend 17*$24 = $408. Since she spent $125.36, she has $408 - $125.36 = $282.64 left to spend.
Step-by-step explanation:
$
6
4
No
2+
of
black
tan
gray white
Color
green
orange
O green
O orange
(a) Which color had the fewest T-shirts sold?
black
o tan
O gray O white
How many T-shirts of that color were sold?
T-shirt(s)
(b) How many more gray T-shirts were sold than tan T-shirts?
more T-shirt(s) sold
(C) For how many colors were there fewer than 10 T-shirts sold?
color(s)
Explanation
Check
© 2022 McGraw HIN
Answer:
a. tan
3 T-shirts
b. 7 - 3 = 4 T-shirts
Help what is the product?
Answer:
(6 18)
Step-by-step explanation:
[tex](4 \: 2) \times \binom{ - 2 \: \: \: \: \: \: \: \:5 }{7 \: \: \: \: \: \: - 1} \\ \\ (4 \times - 2 + 2 \times 7 \: \: \: 4 \times 5 + 2 \times - 1) \\ \\ ( - 8 + 14 \: \: \: \: \: \: 20 - 2) \\ \\ (6 \: \: \: 18)[/tex]
What is the value of z?
Answer:
z=58
Step-by-step explanation:
Sum of interior angles of a n-gon = (n-2) 180
for this 7-gon (heptagon) (7-2)(180) = 900
so all of the angles added togehter = 900
z+50 + 2z + 2z+23 + 3z-37 + 2z+31 + 113 + 140 = 900
z = 58
i will give brainliest
Answer:
Below
Step-by-step explanation:
Population: 10,000
Sample: 250
A politician takes an SRS of 75 citizens in a county to see what proportion of citizens sampled are satisfied with
their standard of living. Suppose that 80% of the 118,000 citizens in the county are satisfied with their
standard of living.
What are the mean and standard deviation of the sampling distribution of the proportion of citizens who are
satisfied with their standard of living?
Answer:
μp^ = 0.8
σp^ = √0.8(1−0.8)/75
Step-by-step explanation:
A line passes through the point (–6, –2), and its y-intercept is (0, 1). What is the equation of the line that is perpendicular to this line and passes through the point (2, 3)?
Step-by-step explanation:
Gradient = y2-y2/x2-x1
= 1-(-2) / 0-(-6)
= 1/2
m1 × m2 = -1
1/2 × m2 = -1
m2 = -2
y= mx+c
(3)=(-2)(2) + c
c=7
°y= -2x +7
Which is the graph of the equation y-1=2/3(x-3)
Answer:
Step-by-step explanation:
Find two consecutive positive integers such that the sum of their squares is 761
Answer:
[tex]19^{2} +20^{2}[/tex] is 761
Step-by-step explanation:
Answer:
19 and 20
Step-by-step explanation:
Let the integers be x and x + 1.
According to the question,
x² + (x + 1)² = 761x² + x² + 2x + 1 = 7612x² + 2x - 760 = 0x² + x - 380 = 0x² + 20x - 19x - 380 = 0x(x + 20) - 19(x + 20) = 0(x - 19)(x + 20) = 0x = 19, -20But x is a positive integer⇒ x = 19Therefore, the integers are :
x = 19x + 1 = 20Using scales of 1cm to 30° on the x axis and 2cm to 1 unit on the y axis,draw the graph of y=sin 0 for 0°less than or equal to 0 less than or equal to 360°.Using the graph to a)find the equation b) solve the equation i)sin0=0.6 ii)4sin0=-3
Help me and will mark brainlest
Answer:
Attachment 1: graph of [tex]y=\sin(\theta)[/tex]
(using given scale)
Question (a) (Attachment 2)
[tex]\sin(\theta)=0.6[/tex]
Draw the line [tex]y=0.6[/tex] (shown in blue).
Find the points of intersection of the sine curve and the line.
Measure to find the values of [tex]\theta[/tex]
[tex]\theta=37^{\circ},143^{\circ}\:\textsf{(nearest degree)}[/tex]
Question (b) (Attachment 3)
[tex]4\sin(\theta)=-3[/tex]
[tex]\implies \sin(\theta)=-\dfrac34[/tex]
Draw the line [tex]y=-\dfrac34[/tex] (shown in red).
Find the points of intersection of the sine curve and the line.
Measure to find the values of [tex]\theta[/tex]
[tex]\theta=229^{\circ},311^{\circ}\:\textsf{(nearest degree)}[/tex]
square route of 482930 free brain liest
Answer:
694.9
Step-by-step explanation:
Answer:
This is your answer 694.931651315437
Have a good day!
Which inequality represents the sentence below?
HURRY
Two more than a number is less than 14. 2+
Answer:
2 + n < 14 is the inequality please
Lauren's scores on her math tests were 96, 95, 98, 92, 94, 93, and 97. What score could Lauren get on her next math test so that the mean and median remain the same? Complete the explanation. The score on her next test that would keep her mean and median the same would be Because her mean and median are already another score of this value would not alter the mean or the median.
Answer:
Lauren needs to get 95 on her next math test so that the mean and median remain the same
Step-by-step explanation:
92+93+ 94+ 95+96+97+98 = 665
665/2 =95
mean=95
median=95
x= score could Lauren get on her next math
(665+ x)/8 =95
multiply both sides by 8 to eliminate fraction
665 +x = 760
x=95
So now the median is the same
(95+95)/2=95
shorcut:
with 7 scores 95 is the median(in the middle)
with 8 scores ,we need a number that added to 95 and divided by 2 is still 95 That number is 95
how to convert a improper fraction to a mixed number
Answer:
Step-by-step explanation:
Divide the numerator by the denominator.
Write down the whole number part of the quotient.
Take the remainder and write it over the original denominator.