The quadratic equation with the given conditions is:
[tex]f(x) = \frac{3}{16}(x^2 + 2x - 24)[/tex]
The standard form of a quadratic equation with roots [tex](x_1,0)[/tex] and [tex](x_2,0)[/tex] is given by:
[tex]f(x) = a(x - x_1)(x - x_2)[/tex]
In which a is the leading coefficient.
In this problem, the roots are [tex]x_1 = -6, x_2 = 4[/tex], thus:
[tex]f(x) = a(x - (-6))(x - 4)[/tex]
[tex]f(x) = a(x + 6)(x - 4)[/tex]
[tex]f(x) = a(x^2 + 2x - 24)[/tex]
It passes through point (2,-3), which means that when [tex]x = 2, f(x) = -3[/tex], and this is used to find a.
[tex]a(2^2 + (2)(2) - 24) = -3[/tex]
[tex]-16a = -3[/tex]
[tex]a = \frac{3}{16}[/tex]
Thus, the equation is:
[tex]f(x) = \frac{3}{16}(x^2 + 2x - 24)[/tex]
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(2) Samantha is ordering some clothes from her favorite online retailer. Her total for
the clothes is $78.00. She has a code to use that will save her 15% before a
8.250tax is added. What is Samantha's total cost?
The perimeter of a triangle is 17x−5 units. One side is 3x+5 units and another is 8x−3 units. How many units long is the third side?
Answer:
17x−5 =85 3x+5 =15 8x-3= -24 here you can use this to find your awnser
Step-by-step explanation:
The graph shows the function f(x) = x^2 in blue and another function g(x) in red. which of the following could the equation for g(x)?
g(x)=1/5x² is the equation for blue graph.
What is Graph?Graph is a mathematical representation of a network and it describes the relationship between lines and points.
The equation of the red quadratic graph is f(x)=x²
This is the parent quadratic function or the base of the quadratic functions.
This red quadratic graph has been dilated by a certain scale factor to obtain the blue graph.
Recall that, when the scale factor is a fraction, such that 0<k<1 the graph is stretched horizontally.
The dilated graph then becomes wider than the parent function.
From the given function equations, the possible value of k can only be k=1/5
Therefore the blue graph has equation g(x)=1/5x²
Hence, g(x)=1/5x² is the equation for blue graph.
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∠A and \angle B∠B are complementary angles. If m\angle A=(7x+23)^{\circ}∠A=(7x+23)
∘
and m\angle B=(5x+19)^{\circ}∠B=(5x+19)
∘
, then find the measure of \angle B∠B.
Since there are complementary angles, the value of angle B is 39°.
Angle A = 7x + 23°
Angle B = 5x + 19°
It should be noted that the total angles in a complementary angle are equal to 90°.
Therefore, we need to add angle A and B together and then equate them to 90°. This will be:
7x + 23° + 5x + 19° = 90°
Collect like terms
12x + 42° = 90°
12x = 90° - 42°
12x = 48°
x = 48°/12
x = 4°
Angle A = 7x + 23° = 7(4) + 23° = 28° + 23° = 51°
Angle B = 5x + 19° = 5(4) + 19° = 20° + 19° = 39°
The value of angle B is 39°.
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click on the attachment <3 answer, please and thank you (:
Answer:
10
Step-by-step explanation:
x-7=?
x=17
17-7=10
7+10=17
17=17 Correct :)
Which graph represents the solution to this system of inequalities?
y<-x-3
y> 2x-4
(Please set graph in 10x10 scale)!!(:
9514 1404 393
Answer:
see attached
Step-by-step explanation:
The solution region is above the line with positive slope, and below the line with negative slope. It will be in the left quadrant of the X made by the crossing lines. The line with positive slope is steeper.
y=−1/2x+3 please guys help
Answer:
-1/2? i dunno
Step-by-step explanation:
Answer:
[tex]-1/2[/tex]
Step-by-step explanation:
[tex]-1/2[/tex] is the answer because [tex]-1/2[/tex] is the gradient of the line in the slope. 3 is the y inter. Which is where the line goes over the y-axis.
Hope this helps! (^-^)
Write an equation for the line parallel to the given line that contains C.
C(-2,6); y=7/9x+2
HELP MEEEEE
Answer:
[tex]if \: l_{1} \parallel \: l_{2} \Rightarrow \:m_{1} = m_{2} = \frac{7}{9} \\ m = \frac{y-y_{1} }{x - x_{1}} \\ \frac{7}{9} = \frac{y - 6}{x - ( - 2)} \\ y - 6 = \frac{7}{9}(x + 2) \\ y = \frac{7}{9}x + \frac{7}{9}(2) + 6 \\ y = \frac{7}{9}x +( \frac{14}{9} + 6) \\ y = \frac{7}{9}x +\frac{68}{9} \\ \\ method \: 2 \\ \\ y = mx + c \\ 6 = \frac{7}{9}( - 2) + c \\ c = \frac{14}{9} + 6 = \frac{68}{9} \\ y = \frac{7}{9}x +\frac{68}{9}[/tex]
When solving a two step equation, how do we know which number is the constant?
We know that we have completely solved a two-step equation if the variable, usually represented. Then, we eliminate the number “closest” to the variable.
I Hope it helps! o.o
Multiply.
(−411)×(0.1)×(−22)
Answer:
904.2
Step-by-step explanation:
The deer population is estimated to be 17,600 in northern
Illinois, but an actual count was 21,300. What is the percent
error?
The percentage error in the deer population is 17%
Actual population = 21300
Estimated population = 17600
The percentage error will be calculated by subtracting the estimated population from the actual population and then dividing the result. This will be:
= (Actual population - Estimated population) / Actual population × 100
= (21300 - 17600) / 21300 × 100
= 3700/21300 × 100
= 0.17 × 100
= 17%
Therefore, the percentage error in the deer population is 17%
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is the square root of 23 rational or irrational
Science:
What is the kinetic energy of a 20 kg bowling ball moving in horizontal direction at 5.2 m/s towards the pin?
[tex]▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ { \huge \mathfrak{Answer}}▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ [/tex]
Given terms are :
m = mass = 20 kgv = velocity= 5.2 m/slet's solve for kinetic energy :
[tex] \dfrac{1}{2} m {v}^{2} [/tex][tex] \dfrac{1}{2} \times 20 \times 5.2 \times 5.2[/tex][tex]10 \times 5.2 \times 5.2[/tex][tex]270.4 \: \: joules[/tex]I need a word question that makes sense as in it gets the right answer, it has to be a negative divided by a positive
Answer:
-9 ÷ 3 = -3
Step-by-step explanation:
is this what you need?
00:00 Choose all of the addition problems in which you add zeros to align place values in the addends. A. 0.04 + 5 + 3.2 B. 18.9 +0.7 C. 1.2 +5.75 +2.8 D. 6.23 + 11.01 + 4.99 o E 15.03 - 23.23
What would be the range of possible whole number values (x) for a 3rd side of the triangle with two sides of 5 in. and 8 in.?
Answer:
ano pon sabi ng teacher nyo
Step-by-step explanation:
kasi wla nmn explanation
Point LL is located at (4,5)(4,5) on the coordinate plane. Point LL is reflected over the yy-axis to create point L'L ′ . What ordered pair describes the location of L'?L ′ ?
Answer:
(-4, 5)
Step-by-step explanation:
Since the pint is reflected over the y-axis, its y-coordinate remains the same.
Point (4, 5) has 4 as its x-coordinate. That is 4 units right of the y-axis. The reflection has -4 as its x-coordinate which is 4 units left of the y-axis.
Answer: (-4, 5)
Solve for x !!!!!!!!
Answer:
x = 9
Step-by-step explanation:
to find the value of x
11x - 11 = 110 (alternate exterior angles are equal)
Substitute
11x = 110 -11
11x = 99
x = 99 ÷ 11
x = 9
Answer:
x=11
Step-by-step explanation:
Because 110= 11x-11, you can use this equation to solve.
First, add 11 to both sides:
121=11x
Then divide by 11:
11=x ------> x=11
Hope this helps!
can anyone help me with this problem with a full explanation?? thank you
Answer:
1, 3, 5
Step-by-step explanation:
let the 3 consecutive odd numbers be n , n + 2 , n + 4 , then
5(n + 2) = 2(n + n + 4) + 3 ( 5 times 2nd = twice sum of 1st and 3rd + 3 )
5n + 10 = 2(2n + 4) + 3
5n + 10 = 4n + 8 + 3
5n + 10 = 4n + 11 ( subtract 4n from both sides )
n + 10 = 11 ( subtract 10 from both sides )
n = 1
n + 2 = 1 + 2 = 3
n + 4 = 1 + 4 = 5
The 3 consecutive odd numbers are 1, 3, 5
Step-by-step explanation:
let the three consecutive odd number be x + 1 , x + 3 , x + 5
a/q
5 times the middle number = 5(x + 3) is
3 more than twice the sum of 1st and 3rd number = 3 + 2(x+1 + x + 5 )
so,
= 5 ( x + 3 ) = 3 + 2 ( x + 1 + x + 5 )
= 5x + 15 = 3 + 4x + 12
= 5x + 15 = 4x + 15
= -4x + 5x = 15 - 15 = 0
= x = 0
so, the 3 consecutive odd numbers are,
x + 1 = 1
x + 3 = 3
x + 5 = 5
and also a/q
5 times the middle number = 5×3 = 15
is equal to 3 more than twice the sum of 1st and 3rd number = 3 + 2(1+5) = 12 + 3 = 15
LHS = RHS
hope this answer helps you dear...take care and may u have a great day ahead!
3.9 in fration form in fration
Answer: 39/10
Step-by-step explanation:
Multiply both top and bottom by 10 for every number after the decimal point:
As we have 1 numbers after the decimal point, we multiply both numerator and denominator by 10. So,
3.9
1
= (3.9 × 10)
(1 × 10)
= 39/10
A rectangular park is 4km long and 2.4 km wide. A. What is the distance if you walke diagonally across the park b. How much shorter is your walk compared to walking the length and width of the park?
Answer:
buuin ang mga sumosunod na hulwarang ritmo grade 4 mosic
A teacher receives a monthly salary of $2800.00 What is her annual salary?
Answer:
33600
Step-by-step explanation:
2800×12=33600....
-2 1/2 ÷6=
-5 5/8 ÷ 5=
-2 1/8 ÷ 1/4=
1 5/8 ÷ -1 3/5=
-4 1/3 ÷ -2 3/5=
Answer:
-2 1/2 ÷ 6 = -0.41
-5 5/8 ÷ 5 = -1.12
-2 1/8 ÷ -1/4 = -8.5
1 5/8 ÷ -1 3/5 = -1.01
-4 1/3 ÷ -2 3/5 = 1.66
, Hope this helps :)
Have a great day!!
What is 0.14x57.05 and what are the steps
Answer:
7.987
Step-by-step explanation:
1 4
× 5 7 0 5
+ 7 0
+ 0 0 0 0 0
+ 9 8
+ 7 0
= 7 9 8 7 0
Rewrite the product with 4 total decimal places.
Answer = 7.9870
Therefore:
0.14 × 57.05 = 7.9870
9 X 34
Distributive property
Answer:
306
Step-by-step explanation:
Answer:
the answer is 306 but the distributive property is not needed for this problem
A veterinarian examined twice as many dogs as cats. She examined a total of 30 cats and dogs. How many of each animal did she see?
PLEASE HELP! Sakura's house is at an elevation between 113 m and 120 m above sea level. Her friend Ted lives about 15 m below her.
A: Choose the compound inequality that describes the elevation x of Ted's house
B. ted lives between _____ m and ______ m above sea level​
Answer:
98 and 105
Step-by-step explanation:
AM GIVING BRAINLY IF YOU CAN GIVE ME THE RIGHT ANSWER
Yasmin finds some nickels and pennies under the couch cushions. How many coins
does she have if she has 60 nickels and 120 pennies? How many coins does she have
if she has n nickels and p pennies?
Total coins, 60 nickels and 120 pennies: ____
Total coins, n nickels and p pennies: _____
Answer:
$1.20 in pennies, $3 in nickels
Step-by-step explanation:
(i fell like im wrong :{ )
Simplify ^75 select the correct answer
Answer:
to simplify the square root of 75, first I recognize that the perfect square 25 goes into it. So 75 = 25 x 3. Therefore the square root of 75 equals the square root of 25 times the square root of 3. And that means just 5 times the square root of 3.
Step-by-step explanation:
The square root of √75 is 5√3.
What is Radical?The √ symbol that is used to denote square root or nth roots. Radical Expression - A radical expression is an expression containing a square root.
A radical notation is an expression that incorporates a root, such as the square or cube root.
Given:
We have to find the square root of 75.
So, we have to factories 75 as
= 25 x 3
and, the square root of 25 is 5.
Then, √75 = √( 5 x 5 x 3)
= 5√3.
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Janice has these times recorded on her time sheet for the week.
How many hours did she work?
47 hours
44 hours
37 hours
34 hours
Time in Time out
7:05 2:58
7:30 5:01
8:01 4:32
7:22 4:46
6:55 3:31
The number of hours Janice worked in a week is 44 hours.
Given that, Janice has recorded on her time sheet for the week.
What is a clock?A clock or a timepiece is a device used to measure and indicate time. The clock is one of the oldest human inventions, meeting the need to measure intervals of time shorter than the natural units such as the day, the lunar month and the year.
Now,
Time in Time out
7:05 2:58
7:30 5:01
8:01 4:32
7:22 4:46
6:55 3:31
Between 7:05 and 2:58 the number of hours is 7 hours 53 minutes
Between 7:30 and 5:01 the number of hours is 9 hours 31 minutes
Between 8:01 and 4:32 the number of hours is 8 hours 31 minutes
Between 7:22 and 4:46 the number of hours is 9 hours 24 minutes
Between 6:55 and 3:31 the number of hours is 8 hours 36 minutes
Now, (7+9+8+8+8)+(53+31+31+24+36)
= 40 hours + 175 minutes
= 40 hours + 2 hours 55 minutes
= 43 hours 55 minutes
= 44 hours
Therefore, the number of hours Janice worked in a week is 44 hours.
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