Answer:
[tex]x^2-15x+56[/tex]
Step-by-step explanation:
Use the FOIL distributive method: [tex]\left(a+b\right)\left(c+d\right)=ac+ad+bc+bd[/tex]
---------------------------------------------------------------------------------------------
Thus, [tex]\left(x-7\right)\left(x-8\right)=x\times x +x\left(-8\right)+\left(-7\right)x+\left(-7\right)\left(-8\right)[/tex]
Multiply them to get:
[tex]x^2-8x-7x+56[/tex]
[tex]x^2-15x+56[/tex]
11. Solve by completing the square.
- 10x = 5x^2-1
Answer:
x = (√6/√5) - 1
Step-by-step explanation:
- 10 x = 5x^2 -1
can be written as
5x² + 10x - 1 = 0
completing the square method :
for quadratic equation of the format ax² + bx + c = 0 ,
step 1, divide equation by a
therefore. dividing the equation by 5
=> x² + 2x - (1/5) = 0
=> x² + 2x = 1/5
c - 2b/4 = -1/5 - (2(2)/4) = -(6/5)
b/2 = 1
=> x² + 2x +1 = 6/5
=> (x + 1)² = 6/5
=> x = (√6/√5) - 1
Solve the equation. Chec)
5m - l = 4m + 5
Answer:
m=6
Step-by-step explanation:
NEED HELP ASAP!!! find the measure of the angle BXE
Answer:
110 Degrees
Step-by-step explanation:
Subtract 150 from 40
A map has a scale of 1 inches : 10 miles. Use the given map distance to find the actual distance.
15 miles
12 miles
30 miles
39 miles
A map has a scale of 1 inch : 5 kilometers. Use the given actual distance to find the map distance.
14.4 inches
9.25 inches
68 inches
20.3 inches
Answer:
A) inches: 1.5, 1.2, 3.0, 3.9
B) km 72, 46.25, 340, 101.5
Step-by-step explanation:
A) To find the distance in inches, divide by 10 miles:
15 miles ⇒ 1.5 inches
12 miles ⇒ 1.2 inches
30 miles ⇒ 3.0 inches
39 miles ⇒ 3.9 inches
__
B) To find the distance in km, multiply the map distance by 5.
14.4 in ⇒ 72 km
9.25 in ⇒ 46.25 km
68 in ⇒ 340 km
20.3 in ⇒ 101.5 km
Is 0.45 repeating an integer
Answer:
Yes
Step-by-step explanation:
Short cut: write down the recurring digitswrite a 9 for each recurring digit.
The graph below represents the solution set of which inequality? x2 – 2x – 8 0 x2 + 2x – 8 > 0
Answer: x^2+2x-8<0
Step-by-step explanation:
A. x^2 - 2x - 8 < 0
(x - 4)(x + 2) < 0
B. x^2 + 2x - 8 < 0
(x + 4)(x - 2) < 0
C. x^2 - 2x - 8 > 0
(x - 4)(x - 2) > 0
D. x^2 + 2x - 8 > 0
(x + 4)(x - 2) > 0
When you test a point in the interval between -4 and 2, for example 0, it is negative.
[tex]x^2+2x-8 < 0[/tex] represents the given solution set.
What is known as inequality?A mathematical expression in which left hand side is not equal to right hand side is known as inequality.
The given solution set is x>-4 and x<2
Option A: [tex]x^2-2x-8 < 0[/tex]
(x+2)(x-4)<0
x<-2 and x<4
Option B: [tex]x^2+2x-8 < 0[/tex]
(x-2)(x+4)<0
x<-4 and x<2
Option C: [tex]x^2-2x-8 > 0[/tex]
(x+2)(x-4)>0
x>4 and x>-2
Option D: [tex]x^2+2x-8 > 0[/tex]
(x-2)(x+4)>0
x>-4 and x>2
Hence, [tex]x^2+2x-8 < 0[/tex] represents the given solution set.
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What type of angles are ECH and FCG?
ECH is an acute angle.
FCG is also an acute angle.
Answer:
Vertical angles
Step-by-step explanation:
Vertical angles are angles formed by two intersecting lines, which the angles are facing the opposite direction. Also the angles are on the same vertice (point).
A student studied the sleeping habits of senior at his high school as 34 randomly selected seniors how many hours of sleep they got the previous night
What x value makes this equation true -12x - 2(x+9) = 5(x+4)
A. -2
B. 13/19
C. 5
D. -1/3
Answer:
A. -2, x= -2
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
Given
- 12x - 2(x + 9) = 5(x + 4) ← distribute parenthesis on both sides )
- 12x - 2x - 18 = 5x + 20 , that is
- 14x - 18 = 5x + 20 ( subtract 5x from both sides )
- 19x - 18 = 20 ( add 18 to both sides )
- 19x = 38 ( divide both sides by - 19 )
x = - 2 → A
through: (-2,-2), slope = 1/2
Write the slope-intercept form of the equation of the line through the given point with the given slope.
Answer:
The answer is
[tex]y = \frac{1}{2} x - 1[/tex]Step-by-step explanation:
To find an equation of a line given a point and slope we use the formula
[tex]y - y_1 = m(x - x_1)[/tex]
where
m is the slope
( x1 , y1) is the point
From the question the point is (-2,-2) and slope = 1/2
The equation of the line is
[tex]y + 2 = \frac{1}{2} (x + 2) \\ y + 2 = \frac{1}{2} x + 1 \\ y = \frac{1}{2} x + 1 - 2[/tex]
We have the final answer as
[tex]y = \frac{1}{2} x - 1[/tex]
Hope this helps you
The coordinates of the point of the way from A to B are?
(Type an ordered pair.)
ANSWER: (12,11), (x,y)
12 steps to the right on the x-axismaking the value a plus, and 11 steps up on the y axis making the numeral positive as well.
how do i solve this? 12x÷100+35000minus 14x ÷100
Answer:
-2x/100 + 35
Step-by-step explanation:
Step 1:
12x ÷ 100 + 35,000 - 14x ÷ 100
Step 2:
- 2x ÷ 100 + 35,000 ÷ 100
Step 3:
- 2x ÷ 100 + 35
Answer:
- 2x/100 + 35
Hope This Helps :)
2/5(x-9)=-8
I don’t get it
Answer:
-11=x
Step-by-step explanation:
2/5x-3.6 is the simplified when you DISTRIBUTE 2/5 multiplying both parts of the parentheses. Add 3.6 to both sides 2/5x=-4.4 then 2x=-22, x=-11
A piece of charcoal was unearthed at an archeological site and found to contain 10% of its original carbon-14. The half-life of carbon-14 is 5,730 years. Which equation can be solved to determine the age of the charcoal?
0.10Ao = Aoe0.000121t
Ao = 0.10Aoe0.000121
0.10Ao = Aoe –0.000121t
Ao = 0.10Aoe –0.000121t
Answer:
It is C
Step-by-step explanation:
Got it right in edg
Answer:
A piece of charcoal was unearthed at an archeological site and found to contain 10% of its original carbon-14. The half-life of carbon-14 is 5,730 years. This means that after 5,730 years, only half of the original amount of carbon-14 will remain. Which equation can be solved to determine the age of the charcoal?
C on edg
Step-by-step explanation:
Payton goes shopping. She finds two shirts. One costs $24.97 and the other costs $13.75. She needs to
know if she has enough money to buy both shirts. Using mental math, she rounds $24.97 to $25.00 and
adds that to $13.75 to get $38.75. How does Payton need to compensate to find the exact total of the two
shirts?
O A. Subtract $0.03.
B. Add $0.03.
O C. Add $0.25.
OD. Subtract $0.28.
Answer:
A subtract 0.03
Step-by-step explanation:
This is because when she rounded $24.97 to $25.00 she added $0.03 cents so she needs to subtract that amount to get the exact number.
Two vertices of an equilateral triangle are located at (2, 0) and (–2, –3). What is the triangle’s perimeter?
Answer:
15
Step-by-step explanation:
one side is equal to 5. So 5 ×3
y=1/4x + 8 what would be the slope and the y-intercept
Answer:
y= 1/4x + 8
comparing with
y= mx + c
slope = 1/4
for y intercept x=0
y=8
Step-by-step explanation:
The slope of the line is 1/4, The y-intercept is 8.
In the equation y = (1/4)x + 8, the coefficient of x is 1/4. This coefficient represents the slope of the line.
Therefore, the slope of the line is 1/4.
The equation is in the form y = mx + b, where m represents the slope and b represents the y-intercept.
In this equation, the y-intercept is the value of y when x is 0. By substituting x = 0 into the equation, find the y-intercept.
y = (1/4)(0) + 8
= 0 + 8
= 8
Hence, the y-intercept is 8.
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What is the solution to the equation 3x + 2(x − 9) = 8x + x − 14? (5 points)
Answer:
x= -1
Step-by-step explanation:
Answer:
x = -1
Step-by-step explanation:
3x+2(x-9)=8x+x-14 ;; equation
simplify the equation to the form
3x+2(x-9)=8x+x-14
reorder the terms in parentheses
3x+(+2x-18)=8x+x-14
remove unnecessary parentheses
+3x+2x-18=+8x+x-14
move all terms containing x to the left and all other terms to the right.
+3x+2x-8x-1x=-14+18
simplify left and right side of the equation.
-4x=+4
divide both sides of the equation by -4 to get x.
x=-1
What is 88.2 rounded to the nearest whole number?
Answer:
88
Step-by-step explanation:
if the decimal is below 5 then round down
Answer:
88
Step-by-step explanation:
2 is less than 5, therefor it would be rounded to 88. If a number higher than five or five was in two's place it would be rounded to 89.
the residents of the state of texas pay an 8.25% sales tax on most purchases.which decimal represents the texas state sales tax?
A) 0.825
B)0.00825
C)0.0825
D)8.250
Help quick !! Will give brainliest
1. 5/6
2. 7/8
3. 1/2
4. 5/4
5. 4/5
6. 5/4
7. 11/12
8. 5/4
9. 11/12
10. 2/3
11. 13/20
12. 1/12
13. 7/22
14. 7/18
15. 2/3
16. 5/12
17. 5/12
18. 3/8
For f(x) = -3x - 5, find f(-11). Explain what f(11) really means for the problem ?? Need this in like the next 4 hours please!!!!
Answer:
for -11, 28. for 11, -38
Step-by-step explanation:
Typos in your question. can't tell if you need -11 or pos 11
-3(-11)-5 = 33-5= 28
-3(11)-5 = -33-5 = -38
What's the greatest common factor of 26 and 104 (gcf)
WILL DO BRAINLIEST IF RIGHT ASAP Evaluate the expression for r = –2. –40(–31 − 16r)2 + r2 =
Answer: -36
Step-by-step explanation:
To evaluate the expression, you want to plug in r to solve.
-40(-31-16(-2))²+(-2)² [parenthesis]
-40(1)²+(-2)² [exponent]
-40+4 [add]
-36
Now we know the expression is equal to -36 when r=-2.
m∠1 = 65°, what is m∠2?
Answer:
m∠2=65
Step-by-step explanation:
They are corresponding angels which means they are congruent.
Write algebraic expressions for this word phrase.
The sum of ¾ of a number and 7.
Answer:
¾x + 7
Step-by-step explanation:
"The sum of": Addition expression
"¾ of a number": ¾x
"and 7": + 7
Combine them all and you get ¾x + 7
Solve to 3 s.f and in scientific notation (5.11×10^-4)+(4.33×10^-3)
Answer:
0.00484
Step-by-step explanation:
¿Cuál es el valor de 0.1561 redondeado a la décima más cercana?
A 0.15
B 0.16
C 0.1
D 0.2
Answer: 0.2
Step-by-step explanation: Necesitamos ajustar la estimación de 0.1561 al décimo más cercano.
El número después del decimal es el número en el décimo lugar. Considere el número a un lado del lugar de las décimas y utilice el número para decidir si se reunirán o seguirán siendo el equivalente. Observe que el número a un lado del décimo lugar es mayor o equivalente a 5 o menos de 5. En el caso de que ese número sea más digno de mención o equivalente a 5, en ese punto el número se reunirá aún en la remota posibilidad de que ese número es menor de 5, en ese momento el número no se reunirá. Permanecerá igual.
Consideremos el número dado 0.1561
El número en el lugar de las décimas es 1
El número después del punto de las décimas es 5 (que es más prominente o equivalente a 5)
De esta manera, el número se reunirá en 0,2
1. Find the slope of the line containing the points (9,6) (11,9).
Answer:
[tex]y=\frac{3}{2}x-\frac{15}{2}[/tex]
Step-by-step explanation:
Use the point-slope formula [tex]y-y_{1}=m(x-x_{1})[/tex]
First you have to find m with the formula [tex]m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}[/tex]
[tex]m = \frac{9 - 6}{11 - 9} = \frac{3}{2}[/tex]
Choose whichever point you want as [tex](x_{1}, y_{1})[/tex], in this case I'll choose [tex](9, 6)[/tex]
[tex]y - y_{1} = m(x - x_{1})\\y - 6 = \frac{3}{2} (x - 9)\\y - 6 = \frac{3}{2}x - \frac{27}{2} \\y = \frac{3}{2}x - \frac{27}{2} + 6\\y = \frac{3}{2}x - \frac{15}{2}[/tex]
Find the midpoint of the line segment joining the points (-1,-2) and (-3,13)
The answer is (-2,5.5)
Step-by-step explanation:
Hope this helps